JaroslavKysela/ OpticalElements3D

3D models of optical elements

Contributed by: Jaroslav Kysela

A light-weight library collecting 3D models of some of the most common optical elements used in optics laboratories. The models are defined as sets of 3D graphics primitives (i.e., not as mesh objects).

Installation Instructions

To install this paclet in your Wolfram Language environment, evaluate this code:
PacletInstall["JaroslavKysela/OpticalElements3D"]

Details

Each element is generated by a dedicated function that takes additional parameters. The output is a list of graphics primitives that can be visualized using Graphics3D function.
The models are defined as sets of 3D graphics primitives — i.e., not as MeshRegion objects.
Many elements can be constructed with a ring-shaped mount, as is usual in real experiments. The presence and form of the mount can be specified by option Frame, its color by option FrameStyle. One can also add textual labels either to the elements itself, or to its mount. This label is provided by option "Label" and its rasterization is controlled by option RasterSize. For cylindrical elements, the label is mapped onto a cylindrical surface internally generated by RevolutionPlot3D. The smoothness of this surface is governed by option PlotPoints.
Some models are created with the help of resource functions, such as ResourceFunction["RoundedAnnulus3D"] and ResourceFunction["RoundedFrame3D"].
Each element can be scaled, rotated and positioned using the standard functions Scale, Rotate and Translate, respectively. The default is rotation is such that the element faces the positive x axis.
Most functions follow the same syntax pattern: first argument specifies the type, second the styling, and third and futher arguments specify model-specific characteristics. Almost each value can be replaced with Automatic, in which case the default value is used. The format of dimension and color specification is kept to be consistent over all optical elements, even though for some elements different formats might have been more suitable.

Paclet Guide

Examples

Basic Examples (5) 

Model of a beam splitter:

In[1]:=
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Out[1]=

Model of a mirror with a label:

In[2]:=
Graphics3D[InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.0025`], List[FaceForm[List[RGBColor[0.9607843137254902`, 0.5058823529411764`, 0.19607843137254902`], Opacity[1.`]]], FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3]]], List[List[List[205.`, 22.863691329956055`], List[205.`, 212.31669425964355`], List[246.01799774169922`, 235.99870109558105`], List[369.0710144042969`, 307.0436840057373`], List[369.0710144042969`, 117.59068870544434`], List[205.`, 22.863691329956055`]], List[List[30.928985595703125`, 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"Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["JaroslavKysela/OpticalElements3D", "MetallicMirror"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]]["Round", Frame -> None, "Label" -> Style["No. 5", FontFamily -> "Times"], RasterSize -> 100]]
Out[2]=

Model of a spherical lens:

In[3]:=
Graphics3D[InterpretationBox[FrameBox[TagBox[TooltipBox[PaneBox[GridBox[List[List[GraphicsBox[List[Thickness[0.0025`], List[FaceForm[List[RGBColor[0.9607843137254902`, 0.5058823529411764`, 0.19607843137254902`], Opacity[1.`]]], FilledCurveBox[List[List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0], List[0, 1, 0]], List[List[0, 2, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3], List[0, 1, 0], List[1, 3, 3]]], List[List[List[205.`, 22.863691329956055`], List[205.`, 212.31669425964355`], List[246.01799774169922`, 235.99870109558105`], List[369.0710144042969`, 307.0436840057373`], List[369.0710144042969`, 117.59068870544434`], List[205.`, 22.863691329956055`]], List[List[30.928985595703125`, 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Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["JaroslavKysela/OpticalElements3D", "SphericalLens"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][Frame -> None], ViewPoint -> #] & /@ {{1.3, -2.4, 2}, Front, Right}
Out[3]=

Different types of prisms:

In[4]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/75e66911-31f1-4b56-90c0-a0ad75449db5"]
Out[4]=

Simple optical setup:

In[5]:=
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"Tooltip"]]], Rule[Background, RGBColor[0.968`, 0.976`, 0.984`]], Rule[BaselinePosition, Baseline], Rule[DefaultBaseStyle, List[]], Rule[FrameMargins, List[List[0, 0], List[1, 1]]], Rule[FrameStyle, RGBColor[0.831`, 0.847`, 0.85`]], Rule[RoundingRadius, 4]], PacletSymbol["JaroslavKysela/OpticalElements3D", "MetallicMirror"], Rule[Selectable, False], Rule[SelectWithContents, True], Rule[BoxID, "PacletSymbolBox"]][
     "Round"], -3 \[Pi]/4, {0, 0, 1}], {2.2, 0.2, 0}]
  }]
In[6]:=

Scope (3) 

Some optical elements supported by the package:

In[7]:=
Graphics3D[Symbol[#][], PlotLabel -> #, Boxed -> False, ImageSize -> Tiny] & /@ {"BeamSplitter", "SimplePrism", "Axicon", "DovePrism", "OpticalBeam", "FiberCoupler", "OpticalPlate", "DiffractionGrating", "Pinhole", "IrisDiaphragm", "SpiralPhasePlate", "OpticalRaster", "SphericalLens", "CylindricalLens", "MetallicMirror", "ElementFrame"} // Multicolumn
In[8]:=

Each element with a rim has also the no-rim version:

In[9]:=
Graphics3D[Symbol[#][Frame -> None], PlotLabel -> #, Boxed -> False, ImageSize -> Tiny] & /@ {"OpticalPlate", "DiffractionGrating", "Pinhole", "IrisDiaphragm", "SpiralPhasePlate", "OpticalRaster", "SphericalLens", "CylindricalLens", "MetallicMirror", "ElementFrame"} // Multicolumn
Out[10]=

Some elements have both the round and the rectangular version:

In[11]:=
Graphics3D[Symbol[#]["Rect"], PlotLabel -> #, Boxed -> False, ImageSize -> Tiny] & /@ {"OpticalPlate", "DiffractionGrating", "MetallicMirror", "ElementFrame"}
Out[11]=

Applications (4) 

Interferometers:

In[12]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/7d26ccdb-b2f7-4075-b40a-62fa116305f6"]
In[13]:=

4f system:

In[14]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/79e5eba9-3644-4f6f-be12-f27b4053b13f"]
In[15]:=

Laser cutter:

In[16]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/856cbc14-d458-40e7-bd3e-90aa2b53db44"]
Out[20]=

Homodyne detection setup:

In[21]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/fe16f59a-ed9d-483d-b4e7-d8eaa8213df4"]
In[22]:=

Properties and Relations (1) 

New elements, such as cameras and lasers, can be created with the help of ResourceFunction["CylindricalFlange3D"] or ResourceFunction["CuboidalFlange3D"]:

In[23]:=
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  Rotate[{
    Red, ResourceFunction[
     "CylindricalFlange3D"][{"RoundedCylinder", 0.4, 0.5, 0.05}, {1, {"RoundedAnnulus3D", 0.15, 0.32, 0.25, 0.01}}, "Label" -> {"Camera", 0.5, \[Pi]}],
    Black, ResourceFunction[
     "CylindricalFlange3D"][{"Empty", 0.4, 0.5}, {1, {"Cylinder", 0.05, 0.25}}]}, \[Pi]/2, {0, 1, 0}]
  }, Boxed -> False, Method -> {"SplinePoints" -> 20}, ViewPoint -> {2.1, 1.6, -2.0}, ViewVertical -> {-0.5, -0.3, -0.8}]
Out[23]=

Neat Examples (2) 

Create a 3D model of simple single-lens reflex camera:

In[24]:=
(* Evaluate this cell to get the example input *) CloudGet["https://www.wolframcloud.com/obj/f6ef5d0c-8823-4cb9-baba-6a3f48b28edc"]
Out[31]=

Interactive cut through the model:

In[32]:=
Manipulate[
 Show[Last@grlistf, ClipPlanes -> InfinitePlane[{0, y, 0}, {{0, 0, 1}, {1, 0, 0}}]], {{y, 0, "Cut position"}, -2, 2}, SaveDefinitions -> True]
Out[32]=

Publisher

Jaroslav Kysela

Compatibility

Wolfram Language Version 13.1

Version History

  • 1.0.0 – 15 December 2023

License Information

MIT License

Paclet Source