(*********************************************************************** Mathematica-Compatible Notebook This notebook can be used on any computer system with Mathematica 3.0, MathReader 3.0, or any compatible application. The data for the notebook starts with the line of stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). 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"], "Subsubtitle", Evaluatable->False, AspectRatioFixed->True]}, Open]], Cell[CellGroupData[{Cell[TextData["Elliptical Polarization"], "Section", Evaluatable->False, AspectRatioFixed->True], Cell[TextData[{ StyleBox[ " Elliptical polarization is the most general of the three. Linear and \ circular polarization are actually degenerate forms of elliptical \ polarization. Consider the general equation\n \n ", Evaluatable->False, AspectRatioFixed->True], StyleBox["E", Evaluatable->False, AspectRatioFixed->True, FontWeight->"Bold"], StyleBox["total", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[" = ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[EmptyDiamond]", Evaluatable->False, AspectRatioFixed->True, FontWeight->"Bold"], StyleBox["h", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[" E", Evaluatable->False, AspectRatioFixed->True], StyleBox["1", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[" cos(", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Omega]", Evaluatable->False, AspectRatioFixed->True], StyleBox["t + ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Beta]", Evaluatable->False, AspectRatioFixed->True], StyleBox["d + ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Phi]", Evaluatable->False, AspectRatioFixed->True], StyleBox["1", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[") + ", Evaluatable->False, AspectRatioFixed->True], StyleBox[" ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[EmptyDiamond]", Evaluatable->False, AspectRatioFixed->True, FontWeight->"Bold"], StyleBox["v", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[" E", Evaluatable->False, AspectRatioFixed->True], StyleBox["2", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[" cos(", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Omega]", Evaluatable->False, AspectRatioFixed->True], StyleBox["t + ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Beta]", Evaluatable->False, AspectRatioFixed->True], StyleBox["d + ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Phi]", Evaluatable->False, AspectRatioFixed->True], StyleBox["2", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[ ")\t\t(5)\n \nThe difference between the phases can \ be any value between 0 and 2", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Pi]", Evaluatable->False, AspectRatioFixed->True], StyleBox[ ". Except for the special cases given in the previous two \ sections(multiples of ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Pi]", Evaluatable->False, AspectRatioFixed->True], StyleBox[" for the linear case and ", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[PlusMinus]", Evaluatable->False, AspectRatioFixed->True], StyleBox["\[Pi]", Evaluatable->False, AspectRatioFixed->True], StyleBox["/2 for the circular case), all other phase differences cause ", Evaluatable->False, AspectRatioFixed->True], StyleBox["E", Evaluatable->False, AspectRatioFixed->True, FontWeight->"Bold"], StyleBox["total", Evaluatable->False, AspectRatioFixed->True, FontSize->9, FontVariations->{"CompatibilityType"->"Subscript"}], StyleBox[ " to be elliptically polarized. This means that the tip of the electric \ field vector will trace an elliptical path in the h-v plane.\n\n In the \ following cell the function ", Evaluatable->False, AspectRatioFixed->True], StyleBox["ellipse", Evaluatable->False, AspectRatioFixed->True, FontFamily->"Courier", FontWeight->"Bold"], StyleBox[ " is given. This function gives output similar to what you have already \ seen except it does not generate an entire animated sequence. This function \ provides a quick means to examine a number of different combinations of \ magnitudes and phases. 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