diff --git a/Project.toml b/Project.toml
index 433fa93..42becbb 100644
--- a/Project.toml
+++ b/Project.toml
@@ -1,7 +1,7 @@
 name = "ABCDMatrixOptics"
 uuid = "ccdfd77c-c9b6-493d-8c46-f34d2494ed29"
 authors = ["Felix Wechsler (roflmaostc) <fxw+git@mailbox.org> and contributors"]
-version = "0.3.0"
+version = "0.4.0"
 
 [deps]
 Colors = "5ae59095-9a9b-59fe-a467-6f913c188581"
diff --git a/examples/Manifest.toml b/examples/Manifest.toml
index 9658e71..337d8eb 100644
--- a/examples/Manifest.toml
+++ b/examples/Manifest.toml
@@ -1,6 +1,6 @@
 # This file is machine-generated - editing it directly is not advised
 
-julia_version = "1.10.6"
+julia_version = "1.11.5"
 manifest_format = "2.0"
 project_hash = "c82db6370b27684db9bf91fa11ade3a5663c9161"
 
@@ -22,20 +22,28 @@ version = "1.3.2"
 
 [[deps.Adapt]]
 deps = ["LinearAlgebra", "Requires"]
-git-tree-sha1 = "50c3c56a52972d78e8be9fd135bfb91c9574c140"
+git-tree-sha1 = "f7817e2e585aa6d924fd714df1e2a84be7896c60"
 uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
-version = "4.1.1"
-weakdeps = ["StaticArrays"]
+version = "4.3.0"
+weakdeps = ["SparseArrays", "StaticArrays"]
 
     [deps.Adapt.extensions]
+    AdaptSparseArraysExt = "SparseArrays"
     AdaptStaticArraysExt = "StaticArrays"
 
+[[deps.AliasTables]]
+deps = ["PtrArrays", "Random"]
+git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff"
+uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8"
+version = "1.1.3"
+
 [[deps.ArgTools]]
 uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
-version = "1.1.1"
+version = "1.1.2"
 
 [[deps.Artifacts]]
 uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
+version = "1.11.0"
 
 [[deps.AxisAlgorithms]]
 deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
@@ -45,6 +53,7 @@ version = "1.1.0"
 
 [[deps.Base64]]
 uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
+version = "1.11.0"
 
 [[deps.BitFlags]]
 git-tree-sha1 = "0691e34b3bb8be9307330f88d1a3c3f25466c24d"
@@ -52,22 +61,22 @@ uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
 version = "0.1.9"
 
 [[deps.Bzip2_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "8873e196c2eb87962a2048b3b8e08946535864a1"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "1b96ea4a01afe0ea4090c5c8039690672dd13f2e"
 uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
-version = "1.0.8+2"
+version = "1.0.9+0"
 
 [[deps.Cairo_jll]]
 deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "009060c9a6168704143100f36ab08f06c2af4642"
+git-tree-sha1 = "2ac646d71d0d24b44f3f8c84da8c9f4d70fb67df"
 uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
-version = "1.18.2+1"
+version = "1.18.4+0"
 
 [[deps.ChainRulesCore]]
 deps = ["Compat", "LinearAlgebra"]
-git-tree-sha1 = "3e4b134270b372f2ed4d4d0e936aabaefc1802bc"
+git-tree-sha1 = "1713c74e00545bfe14605d2a2be1712de8fbcb58"
 uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
-version = "1.25.0"
+version = "1.25.1"
 weakdeps = ["SparseArrays"]
 
     [deps.ChainRulesCore.extensions]
@@ -75,21 +84,21 @@ weakdeps = ["SparseArrays"]
 
 [[deps.CodeTracking]]
 deps = ["InteractiveUtils", "UUIDs"]
-git-tree-sha1 = "7eee164f122511d3e4e1ebadb7956939ea7e1c77"
+git-tree-sha1 = "062c5e1a5bf6ada13db96a4ae4749a4c2234f521"
 uuid = "da1fd8a2-8d9e-5ec2-8556-3022fb5608a2"
-version = "1.3.6"
+version = "1.3.9"
 
 [[deps.CodecZlib]]
 deps = ["TranscodingStreams", "Zlib_jll"]
-git-tree-sha1 = "bce6804e5e6044c6daab27bb533d1295e4a2e759"
+git-tree-sha1 = "962834c22b66e32aa10f7611c08c8ca4e20749a9"
 uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
-version = "0.7.6"
+version = "0.7.8"
 
 [[deps.ColorSchemes]]
 deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
-git-tree-sha1 = "13951eb68769ad1cd460cdb2e64e5e95f1bf123d"
+git-tree-sha1 = "403f2d8e209681fcbd9468a8514efff3ea08452e"
 uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
-version = "3.27.0"
+version = "3.29.0"
 
 [[deps.ColorTypes]]
 deps = ["FixedPointNumbers", "Random"]
@@ -132,9 +141,9 @@ version = "1.1.1+0"
 
 [[deps.ConcurrentUtilities]]
 deps = ["Serialization", "Sockets"]
-git-tree-sha1 = "ea32b83ca4fefa1768dc84e504cc0a94fb1ab8d1"
+git-tree-sha1 = "d9d26935a0bcffc87d2613ce14c527c99fc543fd"
 uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
-version = "2.4.2"
+version = "2.5.0"
 
 [[deps.Configurations]]
 deps = ["ExproniconLite", "OrderedCollections", "TOML"]
@@ -154,9 +163,9 @@ version = "1.16.0"
 
 [[deps.DataStructures]]
 deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
-git-tree-sha1 = "1d0a14036acb104d9e89698bd408f63ab58cdc82"
+git-tree-sha1 = "4e1fe97fdaed23e9dc21d4d664bea76b65fc50a0"
 uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
-version = "0.18.20"
+version = "0.18.22"
 
 [[deps.DataValueInterfaces]]
 git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
@@ -166,12 +175,13 @@ version = "1.0.0"
 [[deps.Dates]]
 deps = ["Printf"]
 uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
+version = "1.11.0"
 
 [[deps.Dbus_jll]]
 deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "fc173b380865f70627d7dd1190dc2fce6cc105af"
+git-tree-sha1 = "473e9afc9cf30814eb67ffa5f2db7df82c3ad9fd"
 uuid = "ee1fde0b-3d02-5ea6-8484-8dfef6360eab"
-version = "1.14.10+0"
+version = "1.16.2+0"
 
 [[deps.DelimitedFiles]]
 deps = ["Mmap"]
@@ -182,12 +192,12 @@ version = "1.9.1"
 [[deps.Distributed]]
 deps = ["Random", "Serialization", "Sockets"]
 uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
+version = "1.11.0"
 
 [[deps.DocStringExtensions]]
-deps = ["LibGit2"]
-git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
+git-tree-sha1 = "e7b7e6f178525d17c720ab9c081e4ef04429f860"
 uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
-version = "0.9.3"
+version = "0.9.4"
 
 [[deps.Downloads]]
 deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
@@ -196,31 +206,31 @@ version = "1.6.0"
 
 [[deps.EpollShim_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
+git-tree-sha1 = "8a4be429317c42cfae6a7fc03c31bad1970c310d"
 uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
-version = "0.0.20230411+0"
+version = "0.0.20230411+1"
 
 [[deps.ExceptionUnwrapping]]
 deps = ["Test"]
-git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
+git-tree-sha1 = "d36f682e590a83d63d1c7dbd287573764682d12a"
 uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
-version = "0.1.10"
+version = "0.1.11"
 
 [[deps.Expat_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "1c6317308b9dc757616f0b5cb379db10494443a7"
+git-tree-sha1 = "d55dffd9ae73ff72f1c0482454dcf2ec6c6c4a63"
 uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
-version = "2.6.2+0"
+version = "2.6.5+0"
 
 [[deps.ExpressionExplorer]]
-git-tree-sha1 = "7005f1493c18afb2fa3bdf06e02b16a9fde5d16d"
+git-tree-sha1 = "4a8c0a9eebf807ac42f0f6de758e60a20be25ffb"
 uuid = "21656369-7473-754a-2065-74616d696c43"
-version = "1.1.0"
+version = "1.1.3"
 
 [[deps.ExproniconLite]]
-git-tree-sha1 = "4c9ed87a6b3cd90acf24c556f2119533435ded38"
+git-tree-sha1 = "c13f0b150373771b0fdc1713c97860f8df12e6c2"
 uuid = "55351af7-c7e9-48d6-89ff-24e801d99491"
-version = "0.10.13"
+version = "0.10.14"
 
 [[deps.FFMPEG]]
 deps = ["FFMPEG_jll"]
@@ -236,6 +246,7 @@ version = "4.4.4+1"
 
 [[deps.FileWatching]]
 uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
+version = "1.11.0"
 
 [[deps.FixedPointNumbers]]
 deps = ["Statistics"]
@@ -245,9 +256,9 @@ version = "0.8.5"
 
 [[deps.Fontconfig_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Zlib_jll"]
-git-tree-sha1 = "db16beca600632c95fc8aca29890d83788dd8b23"
+git-tree-sha1 = "301b5d5d731a0654825f1f2e906990f7141a106b"
 uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
-version = "2.13.96+0"
+version = "2.16.0+0"
 
 [[deps.Format]]
 git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc"
@@ -256,39 +267,33 @@ version = "1.3.7"
 
 [[deps.FreeType2_jll]]
 deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
-git-tree-sha1 = "5c1d8ae0efc6c2e7b1fc502cbe25def8f661b7bc"
+git-tree-sha1 = "2c5512e11c791d1baed2049c5652441b28fc6a31"
 uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
-version = "2.13.2+0"
+version = "2.13.4+0"
 
 [[deps.FriBidi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "1ed150b39aebcc805c26b93a8d0122c940f64ce2"
+git-tree-sha1 = "7a214fdac5ed5f59a22c2d9a885a16da1c74bbc7"
 uuid = "559328eb-81f9-559d-9380-de523a88c83c"
-version = "1.0.14+0"
-
-[[deps.FuzzyCompletions]]
-deps = ["REPL"]
-git-tree-sha1 = "be713866335f48cfb1285bff2d0cbb8304c1701c"
-uuid = "fb4132e2-a121-4a70-b8a1-d5b831dcdcc2"
-version = "0.5.5"
+version = "1.0.17+0"
 
 [[deps.GLFW_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "libdecor_jll", "xkbcommon_jll"]
-git-tree-sha1 = "532f9126ad901533af1d4f5c198867227a7bb077"
+git-tree-sha1 = "fcb0584ff34e25155876418979d4c8971243bb89"
 uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
-version = "3.4.0+1"
+version = "3.4.0+2"
 
 [[deps.GR]]
 deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Preferences", "Printf", "Qt6Wayland_jll", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "p7zip_jll"]
-git-tree-sha1 = "ee28ddcd5517d54e417182fec3886e7412d3926f"
+git-tree-sha1 = "7ffa4049937aeba2e5e1242274dc052b0362157a"
 uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
-version = "0.73.8"
+version = "0.73.14"
 
 [[deps.GR_jll]]
 deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
-git-tree-sha1 = "f31929b9e67066bee48eec8b03c0df47d31a74b3"
+git-tree-sha1 = "98fc192b4e4b938775ecd276ce88f539bcec358e"
 uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
-version = "0.73.8+0"
+version = "0.73.14+0"
 
 [[deps.Gettext_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
@@ -298,15 +303,21 @@ version = "0.21.0+0"
 
 [[deps.Glib_jll]]
 deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
-git-tree-sha1 = "674ff0db93fffcd11a3573986e550d66cd4fd71f"
+git-tree-sha1 = "b0036b392358c80d2d2124746c2bf3d48d457938"
 uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
-version = "2.80.5+0"
+version = "2.82.4+0"
+
+[[deps.GracefulPkg]]
+deps = ["Compat", "Pkg", "TOML"]
+git-tree-sha1 = "ec6d498af5b39005fc458bfcc41a780169abccc9"
+uuid = "828d9ff0-206c-6161-646e-6576656f7244"
+version = "2.1.0"
 
 [[deps.Graphite2_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
+deps = ["Artifacts", "JLLWrappers", "Libdl"]
+git-tree-sha1 = "8a6dbda1fd736d60cc477d99f2e7a042acfa46e8"
 uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
-version = "1.3.14+0"
+version = "1.3.15+0"
 
 [[deps.Grisu]]
 git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
@@ -314,16 +325,16 @@ uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
 version = "1.0.2"
 
 [[deps.HTTP]]
-deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
-git-tree-sha1 = "bc3f416a965ae61968c20d0ad867556367f2817d"
+deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "PrecompileTools", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
+git-tree-sha1 = "f93655dc73d7a0b4a368e3c0bce296ae035ad76e"
 uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
-version = "1.10.9"
+version = "1.10.16"
 
 [[deps.HarfBuzz_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"]
-git-tree-sha1 = "401e4f3f30f43af2c8478fc008da50096ea5240f"
+git-tree-sha1 = "55c53be97790242c29031e5cd45e8ac296dadda3"
 uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
-version = "8.3.1+0"
+version = "8.5.0+0"
 
 [[deps.Hyperscript]]
 deps = ["Test"]
@@ -346,6 +357,7 @@ version = "0.2.5"
 [[deps.InteractiveUtils]]
 deps = ["Markdown"]
 uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
+version = "1.11.0"
 
 [[deps.Interpolations]]
 deps = ["Adapt", "AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
@@ -358,9 +370,9 @@ weakdeps = ["Unitful"]
     InterpolationsUnitfulExt = "Unitful"
 
 [[deps.IrrationalConstants]]
-git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
+git-tree-sha1 = "e2222959fbc6c19554dc15174c81bf7bf3aa691c"
 uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
-version = "0.2.2"
+version = "0.2.4"
 
 [[deps.IteratorInterfaceExtensions]]
 git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
@@ -368,16 +380,16 @@ uuid = "82899510-4779-5014-852e-03e436cf321d"
 version = "1.0.0"
 
 [[deps.JLFzf]]
-deps = ["Pipe", "REPL", "Random", "fzf_jll"]
-git-tree-sha1 = "39d64b09147620f5ffbf6b2d3255be3c901bec63"
+deps = ["REPL", "Random", "fzf_jll"]
+git-tree-sha1 = "82f7acdc599b65e0f8ccd270ffa1467c21cb647b"
 uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
-version = "0.1.8"
+version = "0.1.11"
 
 [[deps.JLLWrappers]]
 deps = ["Artifacts", "Preferences"]
-git-tree-sha1 = "be3dc50a92e5a386872a493a10050136d4703f9b"
+git-tree-sha1 = "a007feb38b422fbdab534406aeca1b86823cb4d6"
 uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
-version = "1.6.1"
+version = "1.7.0"
 
 [[deps.JSON]]
 deps = ["Dates", "Mmap", "Parsers", "Unicode"]
@@ -387,15 +399,15 @@ version = "0.21.4"
 
 [[deps.JpegTurbo_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "25ee0be4d43d0269027024d75a24c24d6c6e590c"
+git-tree-sha1 = "eac1206917768cb54957c65a615460d87b455fc1"
 uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
-version = "3.0.4+0"
+version = "3.1.1+0"
 
 [[deps.JuliaInterpreter]]
 deps = ["CodeTracking", "InteractiveUtils", "Random", "UUIDs"]
-git-tree-sha1 = "2984284a8abcfcc4784d95a9e2ea4e352dd8ede7"
+git-tree-sha1 = "ad08bbc177bc329888d21a94b37beb6aa919273a"
 uuid = "aa1ae85d-cabe-5617-a682-6adf51b2e16a"
-version = "0.9.36"
+version = "0.10.2"
 
 [[deps.LAME_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -405,21 +417,30 @@ version = "3.100.2+0"
 
 [[deps.LERC_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "36bdbc52f13a7d1dcb0f3cd694e01677a515655b"
+git-tree-sha1 = "aaafe88dccbd957a8d82f7d05be9b69172e0cee3"
 uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
-version = "4.0.0+0"
+version = "4.0.1+0"
 
 [[deps.LLVMOpenMP_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "78211fb6cbc872f77cad3fc0b6cf647d923f4929"
+git-tree-sha1 = "eb62a3deb62fc6d8822c0c4bef73e4412419c5d8"
 uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
-version = "18.1.7+0"
+version = "18.1.8+0"
+
+[[deps.LRUCache]]
+git-tree-sha1 = "5519b95a490ff5fe629c4a7aa3b3dfc9160498b3"
+uuid = "8ac3fa9e-de4c-5943-b1dc-09c6b5f20637"
+version = "1.6.2"
+weakdeps = ["Serialization"]
+
+    [deps.LRUCache.extensions]
+    SerializationExt = ["Serialization"]
 
 [[deps.LZO_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "854a9c268c43b77b0a27f22d7fab8d33cdb3a731"
+git-tree-sha1 = "1c602b1127f4751facb671441ca72715cc95938a"
 uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
-version = "2.10.2+1"
+version = "2.10.3+0"
 
 [[deps.LaTeXStrings]]
 git-tree-sha1 = "dda21b8cbd6a6c40d9d02a73230f9d70fed6918c"
@@ -428,9 +449,9 @@ version = "1.4.0"
 
 [[deps.Latexify]]
 deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
-git-tree-sha1 = "ce5f5621cac23a86011836badfedf664a612cee4"
+git-tree-sha1 = "cd10d2cc78d34c0e2a3a36420ab607b611debfbb"
 uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
-version = "0.16.5"
+version = "0.16.7"
 
     [deps.Latexify.extensions]
     DataFramesExt = "DataFrames"
@@ -455,16 +476,17 @@ version = "0.6.4"
 [[deps.LibCURL_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
 uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
-version = "8.4.0+0"
+version = "8.6.0+0"
 
 [[deps.LibGit2]]
 deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
 uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
+version = "1.11.0"
 
 [[deps.LibGit2_jll]]
 deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
 uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
-version = "1.6.4+0"
+version = "1.7.2+0"
 
 [[deps.LibSSH2_jll]]
 deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
@@ -473,64 +495,54 @@ version = "1.11.0+1"
 
 [[deps.Libdl]]
 uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
+version = "1.11.0"
 
 [[deps.Libffi_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
+git-tree-sha1 = "27ecae93dd25ee0909666e6835051dd684cc035e"
 uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
-version = "3.2.2+1"
-
-[[deps.Libgcrypt_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll"]
-git-tree-sha1 = "8be878062e0ffa2c3f67bb58a595375eda5de80b"
-uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
-version = "1.11.0+0"
+version = "3.2.2+2"
 
 [[deps.Libglvnd_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
-git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll", "Xorg_libXext_jll"]
+git-tree-sha1 = "d36c21b9e7c172a44a10484125024495e2625ac0"
 uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
-version = "1.6.0+0"
-
-[[deps.Libgpg_error_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "c6ce1e19f3aec9b59186bdf06cdf3c4fc5f5f3e6"
-uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
-version = "1.50.0+0"
+version = "1.7.1+1"
 
 [[deps.Libiconv_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "61dfdba58e585066d8bce214c5a51eaa0539f269"
+git-tree-sha1 = "be484f5c92fad0bd8acfef35fe017900b0b73809"
 uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
-version = "1.17.0+1"
+version = "1.18.0+0"
 
 [[deps.Libmount_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "0c4f9c4f1a50d8f35048fa0532dabbadf702f81e"
+git-tree-sha1 = "a31572773ac1b745e0343fe5e2c8ddda7a37e997"
 uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
-version = "2.40.1+0"
+version = "2.41.0+0"
 
 [[deps.Libtiff_jll]]
 deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
-git-tree-sha1 = "b404131d06f7886402758c9ce2214b636eb4d54a"
+git-tree-sha1 = "4ab7581296671007fc33f07a721631b8855f4b1d"
 uuid = "89763e89-9b03-5906-acba-b20f662cd828"
-version = "4.7.0+0"
+version = "4.7.1+0"
 
 [[deps.Libuuid_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "5ee6203157c120d79034c748a2acba45b82b8807"
+git-tree-sha1 = "321ccef73a96ba828cd51f2ab5b9f917fa73945a"
 uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
-version = "2.40.1+0"
+version = "2.41.0+0"
 
 [[deps.LinearAlgebra]]
 deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
 uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
+version = "1.11.0"
 
 [[deps.LogExpFunctions]]
 deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
-git-tree-sha1 = "a2d09619db4e765091ee5c6ffe8872849de0feea"
+git-tree-sha1 = "13ca9e2586b89836fd20cccf56e57e2b9ae7f38f"
 uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
-version = "0.3.28"
+version = "0.3.29"
 
     [deps.LogExpFunctions.extensions]
     LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
@@ -544,6 +556,7 @@ version = "0.3.28"
 
 [[deps.Logging]]
 uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
+version = "1.11.0"
 
 [[deps.LoggingExtras]]
 deps = ["Dates", "Logging"]
@@ -553,20 +566,19 @@ version = "1.1.0"
 
 [[deps.LoweredCodeUtils]]
 deps = ["JuliaInterpreter"]
-git-tree-sha1 = "260dc274c1bc2cb839e758588c63d9c8b5e639d1"
+git-tree-sha1 = "4ef1c538614e3ec30cb6383b9eb0326a5c3a9763"
 uuid = "6f1432cf-f94c-5a45-995e-cdbf5db27b0b"
-version = "3.0.5"
+version = "3.3.0"
 
 [[deps.MIMEs]]
-git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb"
+git-tree-sha1 = "c64d943587f7187e751162b3b84445bbbd79f691"
 uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65"
-version = "0.1.4"
+version = "1.1.0"
 
 [[deps.MacroTools]]
-deps = ["Markdown", "Random"]
-git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
+git-tree-sha1 = "1e0228a030642014fe5cfe68c2c0a818f9e3f522"
 uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
-version = "0.5.13"
+version = "0.5.16"
 
 [[deps.Malt]]
 deps = ["Distributed", "Logging", "RelocatableFolders", "Serialization", "Sockets"]
@@ -577,6 +589,7 @@ version = "1.1.2"
 [[deps.Markdown]]
 deps = ["Base64"]
 uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
+version = "1.11.0"
 
 [[deps.MbedTLS]]
 deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
@@ -587,7 +600,7 @@ version = "1.1.9"
 [[deps.MbedTLS_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
-version = "2.28.2+1"
+version = "2.28.6+0"
 
 [[deps.Measures]]
 git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
@@ -602,10 +615,11 @@ version = "1.2.0"
 
 [[deps.Mmap]]
 uuid = "a63ad114-7e13-5084-954f-fe012c677804"
+version = "1.11.0"
 
 [[deps.MozillaCACerts_jll]]
 uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
-version = "2023.1.10"
+version = "2023.12.12"
 
 [[deps.MsgPack]]
 deps = ["Serialization"]
@@ -615,18 +629,18 @@ version = "1.2.1"
 
 [[deps.NaNMath]]
 deps = ["OpenLibm_jll"]
-git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
+git-tree-sha1 = "9b8215b1ee9e78a293f99797cd31375471b2bcae"
 uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
-version = "1.0.2"
+version = "1.1.3"
 
 [[deps.NetworkOptions]]
 uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
 version = "1.2.0"
 
 [[deps.OffsetArrays]]
-git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e"
+git-tree-sha1 = "117432e406b5c023f665fa73dc26e79ec3630151"
 uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
-version = "1.14.1"
+version = "1.17.0"
 weakdeps = ["Adapt"]
 
     [deps.OffsetArrays.extensions]
@@ -641,12 +655,12 @@ version = "1.3.5+1"
 [[deps.OpenBLAS_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
 uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
-version = "0.3.23+4"
+version = "0.3.27+1"
 
 [[deps.OpenLibm_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
-version = "0.8.1+2"
+version = "0.8.5+0"
 
 [[deps.OpenSSL]]
 deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
@@ -656,9 +670,9 @@ version = "1.4.3"
 
 [[deps.OpenSSL_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "7493f61f55a6cce7325f197443aa80d32554ba10"
+git-tree-sha1 = "9216a80ff3682833ac4b733caa8c00390620ba5d"
 uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
-version = "3.0.15+1"
+version = "3.5.0+0"
 
 [[deps.Opus_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
@@ -667,9 +681,9 @@ uuid = "91d4177d-7536-5919-b921-800302f37372"
 version = "1.3.3+0"
 
 [[deps.OrderedCollections]]
-git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
+git-tree-sha1 = "cc4054e898b852042d7b503313f7ad03de99c3dd"
 uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
-version = "1.6.3"
+version = "1.8.0"
 
 [[deps.PCRE2_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -678,9 +692,9 @@ version = "10.42.0+1"
 
 [[deps.Pango_jll]]
 deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "e127b609fb9ecba6f201ba7ab753d5a605d53801"
+git-tree-sha1 = "3b31172c032a1def20c98dae3f2cdc9d10e3b561"
 uuid = "36c8627f-9965-5494-a995-c6b170f724f3"
-version = "1.54.1+0"
+version = "1.56.1+0"
 
 [[deps.Parameters]]
 deps = ["OrderedCollections", "UnPack"]
@@ -690,25 +704,24 @@ version = "0.12.3"
 
 [[deps.Parsers]]
 deps = ["Dates", "PrecompileTools", "UUIDs"]
-git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821"
+git-tree-sha1 = "7d2f8f21da5db6a806faf7b9b292296da42b2810"
 uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
-version = "2.8.1"
-
-[[deps.Pipe]]
-git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
-uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
-version = "1.3.0"
+version = "2.8.3"
 
 [[deps.Pixman_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
-git-tree-sha1 = "35621f10a7531bc8fa58f74610b1bfb70a3cfc6b"
+git-tree-sha1 = "db76b1ecd5e9715f3d043cec13b2ec93ce015d53"
 uuid = "30392449-352a-5448-841d-b1acce4e97dc"
-version = "0.43.4+0"
+version = "0.44.2+0"
 
 [[deps.Pkg]]
-deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
+deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "Random", "SHA", "TOML", "Tar", "UUIDs", "p7zip_jll"]
 uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
-version = "1.10.0"
+version = "1.11.0"
+weakdeps = ["REPL"]
+
+    [deps.Pkg.extensions]
+    REPLExt = "REPL"
 
 [[deps.PlotThemes]]
 deps = ["PlotUtils", "Statistics"]
@@ -724,9 +737,9 @@ version = "1.4.3"
 
 [[deps.Plots]]
 deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
-git-tree-sha1 = "45470145863035bb124ca51b320ed35d071cc6c2"
+git-tree-sha1 = "809ba625a00c605f8d00cd2a9ae19ce34fc24d68"
 uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
-version = "1.40.8"
+version = "1.40.13"
 
     [deps.Plots.extensions]
     FileIOExt = "FileIO"
@@ -743,22 +756,22 @@ version = "1.40.8"
     Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"
 
 [[deps.Pluto]]
-deps = ["Base64", "Configurations", "Dates", "Downloads", "ExpressionExplorer", "FileWatching", "FuzzyCompletions", "HTTP", "HypertextLiteral", "InteractiveUtils", "Logging", "LoggingExtras", "MIMEs", "Malt", "Markdown", "MsgPack", "Pkg", "PlutoDependencyExplorer", "PrecompileSignatures", "PrecompileTools", "REPL", "RegistryInstances", "RelocatableFolders", "Scratch", "Sockets", "TOML", "Tables", "URIs", "UUIDs"]
-git-tree-sha1 = "3d97d067ea3d04f51821ac86b0d04024fe6e4df8"
+deps = ["Base64", "Configurations", "Dates", "Downloads", "ExpressionExplorer", "FileWatching", "GracefulPkg", "HTTP", "HypertextLiteral", "InteractiveUtils", "LRUCache", "Logging", "LoggingExtras", "MIMEs", "Malt", "Markdown", "MsgPack", "Pkg", "PlutoDependencyExplorer", "PrecompileSignatures", "PrecompileTools", "REPL", "RegistryInstances", "RelocatableFolders", "Scratch", "Sockets", "TOML", "Tables", "URIs", "UUIDs"]
+git-tree-sha1 = "a105834e8c86157bba9def667dde7ed79cb405b4"
 uuid = "c3e4b0f8-55cb-11ea-2926-15256bba5781"
-version = "0.20.3"
+version = "0.20.8"
 
 [[deps.PlutoDependencyExplorer]]
 deps = ["ExpressionExplorer", "InteractiveUtils", "Markdown"]
-git-tree-sha1 = "592470bdf383cd34e88a21bbd7f1f7ffc52a21c6"
+git-tree-sha1 = "9071bfe6d1c3c51f62918513e8dfa0705fbdef7e"
 uuid = "72656b73-756c-7461-726b-72656b6b696b"
-version = "1.1.0"
+version = "1.2.1"
 
 [[deps.PlutoUI]]
 deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"]
-git-tree-sha1 = "eba4810d5e6a01f612b948c9fa94f905b49087b0"
+git-tree-sha1 = "d3de2694b52a01ce61a036f18ea9c0f61c4a9230"
 uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
-version = "0.7.60"
+version = "0.7.62"
 
 [[deps.PrecompileSignatures]]
 git-tree-sha1 = "18ef344185f25ee9d51d80e179f8dad33dc48eb1"
@@ -780,6 +793,12 @@ version = "1.4.3"
 [[deps.Printf]]
 deps = ["Unicode"]
 uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
+version = "1.11.0"
+
+[[deps.PtrArrays]]
+git-tree-sha1 = "1d36ef11a9aaf1e8b74dacc6a731dd1de8fd493d"
+uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d"
+version = "1.3.0"
 
 [[deps.Qt6Base_jll]]
 deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Vulkan_Loader_jll", "Xorg_libSM_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_cursor_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "libinput_jll", "xkbcommon_jll"]
@@ -806,12 +825,14 @@ uuid = "e99dba38-086e-5de3-a5b1-6e4c66e897c3"
 version = "6.7.1+1"
 
 [[deps.REPL]]
-deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
+deps = ["InteractiveUtils", "Markdown", "Sockets", "StyledStrings", "Unicode"]
 uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
+version = "1.11.0"
 
 [[deps.Random]]
 deps = ["SHA"]
 uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
+version = "1.11.0"
 
 [[deps.Ratios]]
 deps = ["Requires"]
@@ -854,15 +875,19 @@ version = "1.0.1"
 
 [[deps.Requires]]
 deps = ["UUIDs"]
-git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
+git-tree-sha1 = "62389eeff14780bfe55195b7204c0d8738436d64"
 uuid = "ae029012-a4dd-5104-9daa-d747884805df"
-version = "1.3.0"
+version = "1.3.1"
 
 [[deps.Revise]]
-deps = ["CodeTracking", "Distributed", "FileWatching", "JuliaInterpreter", "LibGit2", "LoweredCodeUtils", "OrderedCollections", "REPL", "Requires", "UUIDs", "Unicode"]
-git-tree-sha1 = "7f4228017b83c66bd6aa4fddeb170ce487e53bc7"
+deps = ["CodeTracking", "FileWatching", "JuliaInterpreter", "LibGit2", "LoweredCodeUtils", "OrderedCollections", "REPL", "Requires", "UUIDs", "Unicode"]
+git-tree-sha1 = "cedc9f9013f7beabd8a9c6d2e22c0ca7c5c2a8ed"
 uuid = "295af30f-e4ad-537b-8983-00126c2a3abe"
-version = "3.6.2"
+version = "3.7.6"
+weakdeps = ["Distributed"]
+
+    [deps.Revise.extensions]
+    DistributedExt = "Distributed"
 
 [[deps.SHA]]
 uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
@@ -876,10 +901,12 @@ version = "1.2.1"
 
 [[deps.Serialization]]
 uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
+version = "1.11.0"
 
 [[deps.SharedArrays]]
 deps = ["Distributed", "Mmap", "Random", "Serialization"]
 uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
+version = "1.11.0"
 
 [[deps.Showoff]]
 deps = ["Dates", "Grisu"]
@@ -894,6 +921,7 @@ version = "1.2.0"
 
 [[deps.Sockets]]
 uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
+version = "1.11.0"
 
 [[deps.SortingAlgorithms]]
 deps = ["DataStructures"]
@@ -904,7 +932,7 @@ version = "1.2.1"
 [[deps.SparseArrays]]
 deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
 uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
-version = "1.10.0"
+version = "1.11.0"
 
 [[deps.StableRNGs]]
 deps = ["Random"]
@@ -914,9 +942,9 @@ version = "1.0.2"
 
 [[deps.StaticArrays]]
 deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
-git-tree-sha1 = "777657803913ffc7e8cc20f0fd04b634f871af8f"
+git-tree-sha1 = "0feb6b9031bd5c51f9072393eb5ab3efd31bf9e4"
 uuid = "90137ffa-7385-5640-81b9-e52037218182"
-version = "1.9.8"
+version = "1.9.13"
 weakdeps = ["ChainRulesCore", "Statistics"]
 
     [deps.StaticArrays.extensions]
@@ -929,9 +957,14 @@ uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
 version = "1.4.3"
 
 [[deps.Statistics]]
-deps = ["LinearAlgebra", "SparseArrays"]
+deps = ["LinearAlgebra"]
+git-tree-sha1 = "ae3bb1eb3bba077cd276bc5cfc337cc65c3075c0"
 uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
-version = "1.10.0"
+version = "1.11.1"
+weakdeps = ["SparseArrays"]
+
+    [deps.Statistics.extensions]
+    SparseArraysExt = ["SparseArrays"]
 
 [[deps.StatsAPI]]
 deps = ["LinearAlgebra"]
@@ -940,15 +973,19 @@ uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
 version = "1.7.0"
 
 [[deps.StatsBase]]
-deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
-git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21"
+deps = ["AliasTables", "DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
+git-tree-sha1 = "29321314c920c26684834965ec2ce0dacc9cf8e5"
 uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
-version = "0.34.3"
+version = "0.34.4"
+
+[[deps.StyledStrings]]
+uuid = "f489334b-da3d-4c2e-b8f0-e476e12c162b"
+version = "1.11.0"
 
 [[deps.SuiteSparse_jll]]
 deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
 uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
-version = "7.2.1+1"
+version = "7.7.0+0"
 
 [[deps.TOML]]
 deps = ["Dates"]
@@ -981,6 +1018,7 @@ version = "0.1.1"
 [[deps.Test]]
 deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
 uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+version = "1.11.0"
 
 [[deps.TranscodingStreams]]
 git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742"
@@ -988,18 +1026,19 @@ uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
 version = "0.11.3"
 
 [[deps.Tricks]]
-git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb"
+git-tree-sha1 = "6cae795a5a9313bbb4f60683f7263318fc7d1505"
 uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
-version = "0.1.9"
+version = "0.1.10"
 
 [[deps.URIs]]
-git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
+git-tree-sha1 = "cbbebadbcc76c5ca1cc4b4f3b0614b3e603b5000"
 uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
-version = "1.5.1"
+version = "1.5.2"
 
 [[deps.UUIDs]]
 deps = ["Random", "SHA"]
 uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
+version = "1.11.0"
 
 [[deps.UnPack]]
 git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
@@ -1008,6 +1047,7 @@ version = "1.0.2"
 
 [[deps.Unicode]]
 uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
+version = "1.11.0"
 
 [[deps.UnicodeFun]]
 deps = ["REPL"]
@@ -1017,9 +1057,9 @@ version = "0.4.1"
 
 [[deps.Unitful]]
 deps = ["Dates", "LinearAlgebra", "Random"]
-git-tree-sha1 = "d95fe458f26209c66a187b1114df96fd70839efd"
+git-tree-sha1 = "c0667a8e676c53d390a09dc6870b3d8d6650e2bf"
 uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
-version = "1.21.0"
+version = "1.22.0"
 
     [deps.Unitful.extensions]
     ConstructionBaseUnitfulExt = "ConstructionBase"
@@ -1048,15 +1088,15 @@ version = "1.3.243+0"
 
 [[deps.Wayland_jll]]
 deps = ["Artifacts", "EpollShim_jll", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
-git-tree-sha1 = "7558e29847e99bc3f04d6569e82d0f5c54460703"
+git-tree-sha1 = "85c7811eddec9e7f22615371c3cc81a504c508ee"
 uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
-version = "1.21.0+1"
+version = "1.21.0+2"
 
 [[deps.Wayland_protocols_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "93f43ab61b16ddfb2fd3bb13b3ce241cafb0e6c9"
+git-tree-sha1 = "5db3e9d307d32baba7067b13fc7b5aa6edd4a19a"
 uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
-version = "1.31.0+0"
+version = "1.36.0+0"
 
 [[deps.WoodburyMatrices]]
 deps = ["LinearAlgebra", "SparseArrays"]
@@ -1066,111 +1106,99 @@ version = "1.0.0"
 
 [[deps.XML2_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
-git-tree-sha1 = "6a451c6f33a176150f315726eba8b92fbfdb9ae7"
+git-tree-sha1 = "b8b243e47228b4a3877f1dd6aee0c5d56db7fcf4"
 uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
-version = "2.13.4+0"
-
-[[deps.XSLT_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"]
-git-tree-sha1 = "a54ee957f4c86b526460a720dbc882fa5edcbefc"
-uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
-version = "1.1.41+0"
+version = "2.13.6+1"
 
 [[deps.XZ_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "15e637a697345f6743674f1322beefbc5dcd5cfc"
+git-tree-sha1 = "fee71455b0aaa3440dfdd54a9a36ccef829be7d4"
 uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
-version = "5.6.3+0"
+version = "5.8.1+0"
 
 [[deps.Xorg_libICE_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "326b4fea307b0b39892b3e85fa451692eda8d46c"
+git-tree-sha1 = "a3ea76ee3f4facd7a64684f9af25310825ee3668"
 uuid = "f67eecfb-183a-506d-b269-f58e52b52d7c"
-version = "1.1.1+0"
+version = "1.1.2+0"
 
 [[deps.Xorg_libSM_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libICE_jll"]
-git-tree-sha1 = "3796722887072218eabafb494a13c963209754ce"
+git-tree-sha1 = "9c7ad99c629a44f81e7799eb05ec2746abb5d588"
 uuid = "c834827a-8449-5923-a945-d239c165b7dd"
-version = "1.2.4+0"
+version = "1.2.6+0"
 
 [[deps.Xorg_libX11_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
-git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
+git-tree-sha1 = "b5899b25d17bf1889d25906fb9deed5da0c15b3b"
 uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
-version = "1.8.6+0"
+version = "1.8.12+0"
 
 [[deps.Xorg_libXau_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
+git-tree-sha1 = "aa1261ebbac3ccc8d16558ae6799524c450ed16b"
 uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
-version = "1.0.11+0"
+version = "1.0.13+0"
 
 [[deps.Xorg_libXcursor_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
-git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "6c74ca84bbabc18c4547014765d194ff0b4dc9da"
 uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
-version = "1.2.0+4"
+version = "1.2.4+0"
 
 [[deps.Xorg_libXdmcp_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
+git-tree-sha1 = "52858d64353db33a56e13c341d7bf44cd0d7b309"
 uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
-version = "1.1.4+0"
+version = "1.1.6+0"
 
 [[deps.Xorg_libXext_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
-git-tree-sha1 = "d2d1a5c49fae4ba39983f63de6afcbea47194e85"
+git-tree-sha1 = "a4c0ee07ad36bf8bbce1c3bb52d21fb1e0b987fb"
 uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
-version = "1.3.6+0"
+version = "1.3.7+0"
 
 [[deps.Xorg_libXfixes_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
-git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
+git-tree-sha1 = "9caba99d38404b285db8801d5c45ef4f4f425a6d"
 uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
-version = "5.0.3+4"
+version = "6.0.1+0"
 
 [[deps.Xorg_libXi_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
-git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
+git-tree-sha1 = "a376af5c7ae60d29825164db40787f15c80c7c54"
 uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
-version = "1.7.10+4"
+version = "1.8.3+0"
 
 [[deps.Xorg_libXinerama_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
-git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXext_jll"]
+git-tree-sha1 = "a5bc75478d323358a90dc36766f3c99ba7feb024"
 uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
-version = "1.1.4+4"
+version = "1.1.6+0"
 
 [[deps.Xorg_libXrandr_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
-git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
+git-tree-sha1 = "aff463c82a773cb86061bce8d53a0d976854923e"
 uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
-version = "1.5.2+4"
+version = "1.5.5+0"
 
 [[deps.Xorg_libXrender_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
-git-tree-sha1 = "47e45cd78224c53109495b3e324df0c37bb61fbe"
+git-tree-sha1 = "7ed9347888fac59a618302ee38216dd0379c480d"
 uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
-version = "0.9.11+0"
-
-[[deps.Xorg_libpthread_stubs_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
-uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
-version = "0.1.1+0"
+version = "0.9.12+0"
 
 [[deps.Xorg_libxcb_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
-git-tree-sha1 = "bcd466676fef0878338c61e655629fa7bbc69d8e"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libXau_jll", "Xorg_libXdmcp_jll"]
+git-tree-sha1 = "bfcaf7ec088eaba362093393fe11aa141fa15422"
 uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
-version = "1.17.0+0"
+version = "1.17.1+0"
 
 [[deps.Xorg_libxkbfile_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
-git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
+git-tree-sha1 = "e3150c7400c41e207012b41659591f083f3ef795"
 uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
-version = "1.1.2+0"
+version = "1.1.3+0"
 
 [[deps.Xorg_xcb_util_cursor_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
@@ -1210,21 +1238,21 @@ version = "0.4.1+1"
 
 [[deps.Xorg_xkbcomp_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
-git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
+git-tree-sha1 = "801a858fc9fb90c11ffddee1801bb06a738bda9b"
 uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
-version = "1.4.6+0"
+version = "1.4.7+0"
 
 [[deps.Xorg_xkeyboard_config_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
-git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
+git-tree-sha1 = "00af7ebdc563c9217ecc67776d1bbf037dbcebf4"
 uuid = "33bec58e-1273-512f-9401-5d533626f822"
-version = "2.39.0+0"
+version = "2.44.0+0"
 
 [[deps.Xorg_xtrans_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
+git-tree-sha1 = "a63799ff68005991f9d9491b6e95bd3478d783cb"
 uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
-version = "1.5.0+0"
+version = "1.6.0+0"
 
 [[deps.Zlib_jll]]
 deps = ["Libdl"]
@@ -1233,9 +1261,9 @@ version = "1.2.13+1"
 
 [[deps.Zstd_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "555d1076590a6cc2fdee2ef1469451f872d8b41b"
+git-tree-sha1 = "446b23e73536f84e8037f5dce465e92275f6a308"
 uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
-version = "1.5.6+1"
+version = "1.5.7+1"
 
 [[deps.eudev_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
@@ -1245,21 +1273,21 @@ version = "3.2.9+0"
 
 [[deps.fzf_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "936081b536ae4aa65415d869287d43ef3cb576b2"
+git-tree-sha1 = "b6a34e0e0960190ac2a4363a1bd003504772d631"
 uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
-version = "0.53.0+0"
+version = "0.61.1+0"
 
 [[deps.gperf_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
-git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033"
+git-tree-sha1 = "0ba42241cb6809f1a278d0bcb976e0483c3f1f2d"
 uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70"
-version = "3.1.1+0"
+version = "3.1.1+1"
 
 [[deps.libaom_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl"]
-git-tree-sha1 = "1827acba325fdcdf1d2647fc8d5301dd9ba43a9d"
+git-tree-sha1 = "522c1df09d05a71785765d19c9524661234738e9"
 uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
-version = "3.9.0+0"
+version = "3.11.0+0"
 
 [[deps.libass_jll]]
 deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
@@ -1298,9 +1326,9 @@ version = "1.18.0+0"
 
 [[deps.libpng_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
-git-tree-sha1 = "b70c870239dc3d7bc094eb2d6be9b73d27bef280"
+git-tree-sha1 = "068dfe202b0a05b8332f1e8e6b4080684b9c7700"
 uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
-version = "1.6.44+0"
+version = "1.6.47+0"
 
 [[deps.libvorbis_jll]]
 deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
@@ -1317,7 +1345,7 @@ version = "1.1.6+0"
 [[deps.nghttp2_jll]]
 deps = ["Artifacts", "Libdl"]
 uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
-version = "1.52.0+1"
+version = "1.59.0+0"
 
 [[deps.p7zip_jll]]
 deps = ["Artifacts", "Libdl"]
@@ -1337,7 +1365,7 @@ uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
 version = "3.5.0+0"
 
 [[deps.xkbcommon_jll]]
-deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
-git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37"
+deps = ["Artifacts", "JLLWrappers", "Libdl", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
+git-tree-sha1 = "c950ae0a3577aec97bfccf3381f66666bc416729"
 uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
-version = "1.4.1+1"
+version = "1.8.1+0"
diff --git a/examples/example.jl b/examples/example.jl
index e1f8894..8a447a9 100644
--- a/examples/example.jl
+++ b/examples/example.jl
@@ -1,5 +1,5 @@
 ### A Pluto.jl notebook ###
-# v0.20.3
+# v0.20.8
 
 using Markdown
 using InteractiveUtils
@@ -33,12 +33,12 @@ f1 = FreeSpace(200)
 # ╔═╡ a4f123a0-7ff4-414d-b2ba-e997584a060f
 l1 = ThinLens(200.0)
 
+# ╔═╡ 7a19d973-7d69-45de-b731-2d673d89021b
+l2 = ThinLens(100.0)
+
 # ╔═╡ 02bd56b5-4fe1-4a70-a07d-1ffca857478c
 f12 = FreeSpace(200 + 100)
 
-# ╔═╡ 38603793-c1f2-4281-bb7d-874ccdab6fe0
-l2 = ThinLens(100.0)
-
 # ╔═╡ b68ee752-9080-4bec-b0d0-9b65b6210aff
 f2 = FreeSpace(100)
 
@@ -101,8 +101,30 @@ begin
 	plot!(M, beam_geometric)
 end
 
-# ╔═╡ 14ce1a97-81a8-43b4-82c6-cc9be5c1fe71
-plot([ThickLens(R1=100e-3, R2=10e-3,t=10e-3)], GaussianBeam())
+# ╔═╡ 720bc546-8196-4210-9cb2-364799951ccf
+md"# Plot Simple Lens system"
+
+# ╔═╡ 1a9aef8d-80a0-4dc2-9f63-3bd9ee52d58d
+tl1 = ThickLens(R1=100, R2=-100, t=0)
+
+# ╔═╡ 3832f547-0d24-4688-b77d-453053e577ea
+tl2 = ThickLens(R1=200, R2=-200, t=50)
+
+# ╔═╡ 38ecda12-6e81-4035-ad40-9498334471e7
+tl1.focal_length
+
+# ╔═╡ 8579099b-9c7e-47b8-8114-5c90653e2df0
+tl2.focal_length
+
+# ╔═╡ 3442fbeb-99a4-4af7-9816-283b533c3421
+M2 = [f2, tl1, f12, tl2, f1]
+
+# ╔═╡ ad8215d3-901e-4629-98c0-ee56533e5c1c
+begin
+	plot(M2, beam)
+	# specify the height and it'll show the lens with that height
+	plot!(M2, height=40)
+end
 
 # ╔═╡ 51c61aa0-4e1c-4c22-8c4f-8b6611ed5075
 md"# Effects of refractive index on Beam"
@@ -110,6 +132,9 @@ md"# Effects of refractive index on Beam"
 # ╔═╡ 829c357a-f490-4ad8-98ce-b4ebbf09c552
 plot([FreeSpace(10e-3), Interface(n1=1.0, n2=2.0), FreeSpace(10e-3)], GaussianBeam(w0=10f-6))
 
+# ╔═╡ fc8c7aba-6a28-462f-a634-e25ead9486c0
+
+
 # ╔═╡ d6b93543-d91b-490a-8b21-2f04f7b781d3
 md"# ThickLensTracing"
 
@@ -133,8 +158,8 @@ plot(system2, b2)
 # ╟─82339a93-c98f-43e2-ba23-88c8c52bd45c
 # ╠═e2e158c6-f690-4692-aae7-fecad5713b31
 # ╠═a4f123a0-7ff4-414d-b2ba-e997584a060f
+# ╠═7a19d973-7d69-45de-b731-2d673d89021b
 # ╠═02bd56b5-4fe1-4a70-a07d-1ffca857478c
-# ╠═38603793-c1f2-4281-bb7d-874ccdab6fe0
 # ╠═b68ee752-9080-4bec-b0d0-9b65b6210aff
 # ╟─5de0cb00-fa0b-4bb2-8f54-5abb4952c0eb
 # ╠═a20eb02a-d12a-4815-87a2-2810f5f6cdeb
@@ -154,9 +179,16 @@ plot(system2, b2)
 # ╟─8faab7e3-56a9-4218-b187-7039dd43cb7b
 # ╠═5844cbf9-1551-4124-a168-5c7e1d4e4746
 # ╠═332416d5-91b8-497b-8d5e-57d8e1bc9a4d
-# ╠═14ce1a97-81a8-43b4-82c6-cc9be5c1fe71
+# ╟─720bc546-8196-4210-9cb2-364799951ccf
+# ╠═1a9aef8d-80a0-4dc2-9f63-3bd9ee52d58d
+# ╠═3832f547-0d24-4688-b77d-453053e577ea
+# ╠═38ecda12-6e81-4035-ad40-9498334471e7
+# ╠═8579099b-9c7e-47b8-8114-5c90653e2df0
+# ╠═3442fbeb-99a4-4af7-9816-283b533c3421
+# ╠═ad8215d3-901e-4629-98c0-ee56533e5c1c
 # ╟─51c61aa0-4e1c-4c22-8c4f-8b6611ed5075
 # ╠═829c357a-f490-4ad8-98ce-b4ebbf09c552
+# ╠═fc8c7aba-6a28-462f-a634-e25ead9486c0
 # ╟─d6b93543-d91b-490a-8b21-2f04f7b781d3
 # ╠═c1a34ab4-f75d-4dda-bd38-d3f0c22ee793
 # ╠═d1dec156-89ea-477f-88c5-069bc73e9e6b
diff --git a/ext/ABCDMatrixOpticsPlotExt.jl b/ext/ABCDMatrixOpticsPlotExt.jl
index cfde7db..0bfe66c 100644
--- a/ext/ABCDMatrixOpticsPlotExt.jl
+++ b/ext/ABCDMatrixOpticsPlotExt.jl
@@ -15,6 +15,9 @@ mutable struct WithGeometricBeam
 end
 
 
+
+
+
 # type recipe, e.g. for `plot(WithBeam(system, beam))`
 @recipe f(::Type{WithGaussianBeam}, data::WithGaussianBeam) = begin
     seriestype := :shape
@@ -117,6 +120,44 @@ function color(λ)
     color = Colors.HSL(hue_of_λ(λ), 1.0, 0.5)
 end
 
+
+function contour_element(element::ThickLens, height)
+    # first surface 
+    φ = asin(height / element.R1) 
+    Δx = cos(π - φ) * element.R1
+    φs = range(π - φ, π + φ, 100)
+
+    x = cos.(φs) .* element.R1 .- Δx .- element.t
+    y = sin.(φs) .* element.R1
+
+
+    # second surface 
+    φ = asin(-height / element.R2) 
+    Δx = -cos(φ) * element.R2
+    φs = range(-φ, φ, 100)
+    x2 = -cos.(φs) .* element.R2 .- Δx
+    y2 = -sin.(φs) .* element.R2
+
+
+    # merge x1,x2, y1, y2
+    x = vcat(x, x2)
+    y = vcat(y, y2)
+    return (x, y)
+end
+
+
+
+function contour_element(element::ThinLens, height)
+    return ([0, 0], [height, -height])
+end
+
+
+
+function contour_element(element, height)
+    return Float64[], Float64[]
+end
+
+
 # user recipe, e.g. for `plot(system, beam)`
 @recipe f(system::Vector{<:Element}, beam::ABCDMatrixOptics.GaussianBeam) =
     WithGaussianBeam(system, beam)
@@ -124,5 +165,25 @@ end
 @recipe f(system::Vector{<:Element}, beam::ABCDMatrixOptics.GeometricBeam) =
     WithGeometricBeam(system, beam)
 
+@recipe f(system::Vector{<:Element}; height=1) = begin
+    
+    seriestype := :shape
+    linecolor --> color(425e-9)
+    fillcolor --> color(425e-9)
+    fillalpha --> 0.1
+
+    z = 0
+    xs = []
+    ys = []
+    for element in system
+        @series begin
+            label --> nothing
+            x, y = contour_element(element, height)
+            z = z + ABCDMatrixOptics.dz(element)
+            x .+ z, y
+        end
+    end
+end
+
 
 end
diff --git a/src/elements.jl b/src/elements.jl
index 8cb1bcf..9584b4b 100644
--- a/src/elements.jl
+++ b/src/elements.jl
@@ -33,11 +33,13 @@ struct ThickLens{T<:Number} <: Element{T}
     n_lens::T
     n1::T
     n2::T
+    focal_length::T
 end
     
 function ThickLens(; R1, R2, t, n_lens=1.5, n1=1.0, n2=1.0)
     R1, R2, t, n_lens, n1, n2 = promote(R1, R2, t, n_lens, n1, n2) 
-    return ThickLens{typeof(R1)}(R1, R2, t, n_lens, n1, n2)
+    focal_length = inv(-(n_lens - n2) / n1 / R2 + (n_lens - n1) / n1 / R1 + (n_lens - n1) * (n_lens - n2) / n1 / n_lens * t / R1 / R2)
+    return ThickLens{typeof(R1)}(R1, R2, t, n_lens, n1, n2, focal_length)
 end
 
 struct Interface{T<:Number} <: Element{T}
diff --git a/test/runtests.jl b/test/runtests.jl
index f5636ce..edb73f9 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -123,6 +123,7 @@ using Plots
         for λ  in [100e-9, 500e-9] 
             for beam in [GaussianBeam(w0=100e-6, λ=λ, n=1.3, zpos=0), GeometricBeam(w=100e-6, k=0.0)]
                 p = plot([FreeSpace(100e-3)], beam) 
+                p = plot!([FreeSpace(100e-3), ThinLens(100e-3), ThickLens(R1=100e-3, R2=-200e-3, t=0.0)], height=10e-3) 
                 @test p == p
             end
         end