From 819049d98b7ffadaef740606b2a6c281bb30caf1 Mon Sep 17 00:00:00 2001 From: Simon Rochester Date: Fri, 23 Dec 2011 01:11:06 -0800 Subject: Update CounterPropFWM.nb to include density plots and slow light case. --- mathemathica_fwm/CounterPropFWM.nb | 19860 ++++++++++++++++++++++++++++++++--- 1 file changed, 18297 insertions(+), 1563 deletions(-) (limited to 'mathemathica_fwm') diff --git a/mathemathica_fwm/CounterPropFWM.nb b/mathemathica_fwm/CounterPropFWM.nb index 66b4d75..2dfdca0 100755 --- a/mathemathica_fwm/CounterPropFWM.nb +++ b/mathemathica_fwm/CounterPropFWM.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] -NotebookDataLength[ 251067, 6348] -NotebookOptionsPosition[ 243537, 6132] -NotebookOutlinePosition[ 243930, 6149] -CellTagsIndexPosition[ 243887, 6146] +NotebookDataLength[ 1227086, 23082] +NotebookOptionsPosition[ 1216617, 22784] +NotebookOutlinePosition[ 1217010, 22801] +CellTagsIndexPosition[ 1216967, 22798] WindowFrame->Normal*) (* Beginning of Notebook Content *) @@ -3932,6 +3932,10 @@ Cell[CellGroupData[{ Cell["Results", "Section"], +Cell[CellGroupData[{ + +Cell["More setup", "Subsection"], + Cell["\<\ Choose number of spatial points.\ \>", "MathCaption", @@ -4046,35 +4050,39 @@ Cell[BoxData[ RowBox[{ RowBox[{"SetOptions", "[", RowBox[{"NDSolve", ",", - RowBox[{"PrecisionGoal", "\[Rule]", "5"}], ",", - RowBox[{"AccuracyGoal", "\[Rule]", "5"}]}], "]"}], ";"}]], "Input"], + RowBox[{"PrecisionGoal", "\[Rule]", "4"}], ",", + RowBox[{"AccuracyGoal", "\[Rule]", "4"}]}], "]"}], ";"}]], "Input"], -Cell[TextData[{ - "Here we choose parameters and integrate the equations for the co- and \ -counter-propagating cases. Black is ", - Cell[BoxData[ - FormBox[ - SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]], - FormatType->"TraditionalForm"], - " pulse before the medium, blue is ", - Cell[BoxData[ - FormBox[ - SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]], - FormatType->"TraditionalForm"], - " pulse after the medium, red is ", - Cell[BoxData[ - FormBox[ - SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]], - FormatType->"TraditionalForm"], - " pulse after the medium. Solid lines are co-propagating, dashed lines are \ -fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. " -}], "MathCaption", +Cell[BoxData[{ + RowBox[{ + RowBox[{"SetOptions", "[", + RowBox[{"Plot", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}], ",", + RowBox[{"Frame", "\[Rule]", "True"}]}], "]"}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"SetOptions", "[", + RowBox[{"ListDensityPlot", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ";"}]}], "Input"], + +Cell["\<\ +Here we choose parameters and integrate the equations for the co- and \ +counter-propagating cases.\ +\>", "MathCaption", CellGroupingRules->{GroupTogetherGrouping, 10000.}, - CellID->434761194], + CellID->434761194] +}, Open ]], Cell[CellGroupData[{ -Cell["case I", "Subsection"], +Cell[TextData[{ + "case I (", + Cell[BoxData[ + FormBox[ + RowBox[{"f", "=", "0"}], TraditionalForm]], "None", + FormatType->"TraditionalForm"], + ")" +}], "Subsection"], Cell[BoxData[ RowBox[{ @@ -4156,9 +4164,8 @@ Cell[BoxData[ Cell[BoxData[{ RowBox[{ RowBox[{"alleqs1", "=", - RowBox[{"Expand", "@", - RowBox[{"Evaluate", "[", - RowBox[{"alleqs", "/.", "params"}], "]"}]}]}], ";"}], "\n", + RowBox[{"Expand", "[", + RowBox[{"alleqs", "/.", "params"}], "]"}]}], ";"}], "\n", RowBox[{ RowBox[{"sol", "=", RowBox[{"NDSolve", "[", @@ -4177,10 +4184,8 @@ Cell[BoxData[{ RowBox[{ RowBox[{"TableForm", "[", RowBox[{"allcountereqs1", "=", - RowBox[{"Expand", "@", - RowBox[{"Evaluate", "[", - RowBox[{"allcountereqs", "/.", "params"}], "]"}]}]}], "]"}], - ";"}], "\n", + RowBox[{"Expand", "[", + RowBox[{"allcountereqs", "/.", "params"}], "]"}]}], "]"}], ";"}], "\n", RowBox[{ RowBox[{"countersol", "=", RowBox[{"NDSolve", "[", @@ -4195,6 +4200,26 @@ Cell[BoxData[{ SuperscriptBox["10", RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}]}], ";"}]}], "Input"], +Cell[TextData[{ + "Time dependence before and after the cell. ", + " Black is ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]], + " pulse before the medium, blue is ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]], + " pulse after the medium, red is ", + Cell[BoxData[ + FormBox[ + SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]]], + " pulse after the medium. Solid lines are co-propagating, dashed lines are \ +fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. " +}], "MathCaption", + CellGroupingRules->{GroupTogetherGrouping, 10000.}, + CellID->117093481], + Cell[CellGroupData[{ Cell[BoxData[ @@ -4207,32 +4232,65 @@ Cell[BoxData[ RowBox[{"{", RowBox[{ SuperscriptBox[ - RowBox[{ - SubscriptBox["\[CapitalOmega]", - RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "2"], ",", + RowBox[{"(", + RowBox[{ + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "+", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Im", ",", "2", ",", "0"}]], "[", "t", "]"}]}]}], + ")"}], "2"], ",", SuperscriptBox[ - RowBox[{ - SubscriptBox["\[CapitalOmega]", - RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",", + RowBox[{"(", + RowBox[{ + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}], + ")"}], "2"], ",", SuperscriptBox[ - RowBox[{ - SubscriptBox["\[CapitalOmega]", - RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "2"]}], - "}"}], "/.", + RowBox[{"(", + RowBox[{ + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "+", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Im", ",", "4", ",", "n"}]], "[", "t", "]"}]}]}], + ")"}], "2"]}], "}"}], "/.", RowBox[{"sol", "[", RowBox[{"[", "1", "]"}], "]"}]}], ",", RowBox[{ RowBox[{"{", RowBox[{ SuperscriptBox[ - RowBox[{ - SubscriptBox["\[CapitalOmega]", - RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",", + RowBox[{"(", + RowBox[{ + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}], + ")"}], "2"], ",", SuperscriptBox[ - RowBox[{ - SubscriptBox["\[CapitalOmega]", - RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "2"]}], - "}"}], "/.", + RowBox[{"(", + RowBox[{ + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "+", + RowBox[{"\[ImaginaryI]", " ", + RowBox[{ + SubscriptBox["\[CapitalOmega]", + RowBox[{"Im", ",", "4", ",", "0"}]], "[", "t", "]"}]}]}], + ")"}], "2"]}], "}"}], "/.", RowBox[{"countersol", "[", RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}], "]"}], ",", RowBox[{"{", @@ -4244,7 +4302,6 @@ Cell[BoxData[ RowBox[{"5.", " ", SuperscriptBox["10", RowBox[{"-", "6"}]]}]}], "}"}], ",", - RowBox[{"PlotRange", "\[Rule]", "All"}], ",", RowBox[{"PlotStyle", "\[Rule]", RowBox[{"{", RowBox[{"Black", ",", "Blue", ",", "Red", ",", @@ -4252,7 +4309,6 @@ Cell[BoxData[ RowBox[{"Blue", ",", "Dashed"}], "]"}], ",", RowBox[{"Directive", "[", RowBox[{"Red", ",", "Dashed"}], "]"}]}], "}"}]}], ",", - RowBox[{"Frame", "\[Rule]", "True"}], ",", RowBox[{"FrameLabel", 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