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Plotting Laguerre Gaussian beam intensity in transverse and line profile via center?
TikZ: radial shading of a ringBlurred tikz picture (Hermite-Gaussian modes)Rotate fading in tikzPlotting a 2D gaussian sampleAdd a gaussian curve in a specific location in a tikz diagramIsometric Tables in LaTeXAdding space to a center lineHow to center text in a ellipse and to draw circle nodes?Fill with a user specified colormap a `plot[cycle]`latex flow diagramTikz with gaussian pdfDiagrams in category theory
Hi can someone please help me with Laguerre Gaussian beam(looks like a doughnut or vortex)?
tikz-pgf
asked 5 hours ago
RD1153RD1153
604
add a comment |
Hi can someone please help me with Laguerre Gaussian beam(looks like a doughnut or vortex)?
tikz-pgf
asked 5 hours ago
RD1153RD1153
604
1
Like this tex.stackexchange.com/questions/333330/… ?
– Symbol 1
5 hours ago
The equation is very complex to plot. I am not sure if such functions are available on latex. It is called Laguerre polynomial.
– RD1153
4 hours ago
1
Here are additional possibilities. No, Laguerre polynomials are not too complex to be plotted, but this is a LaTeX site, so if you provide equations and an example, people will be happy to help you, but they are less eager to dig out from the internet and guess what you might want.
– marmot
4 hours ago
add a comment |
Hi can someone please help me with Laguerre Gaussian beam(looks like a doughnut or vortex)?
tikz-pgf
asked 5 hours ago
RD1153RD1153
604
Hi can someone please help me with Laguerre Gaussian beam(looks like a doughnut or vortex)?
tikz-pgf
tikz-pgf
asked 5 hours ago
RD1153RD1153
604
asked 5 hours ago
RD1153RD1153
604
edited 5 hours ago
RD1153
asked 5 hours ago
RD1153RD1153
604
asked 5 hours ago
RD1153RD1153
604
asked 5 hours ago
RD1153RD1153
604
604
1
Like this tex.stackexchange.com/questions/333330/… ?
– Symbol 1
5 hours ago
The equation is very complex to plot. I am not sure if such functions are available on latex. It is called Laguerre polynomial.
– RD1153
4 hours ago
1
Here are additional possibilities. No, Laguerre polynomials are not too complex to be plotted, but this is a LaTeX site, so if you provide equations and an example, people will be happy to help you, but they are less eager to dig out from the internet and guess what you might want.
– marmot
4 hours ago
add a comment |
1
Like this tex.stackexchange.com/questions/333330/… ?
– Symbol 1
5 hours ago
The equation is very complex to plot. I am not sure if such functions are available on latex. It is called Laguerre polynomial.
– RD1153
4 hours ago
1
Here are additional possibilities. No, Laguerre polynomials are not too complex to be plotted, but this is a LaTeX site, so if you provide equations and an example, people will be happy to help you, but they are less eager to dig out from the internet and guess what you might want.
– marmot
4 hours ago
1
1
Like this tex.stackexchange.com/questions/333330/… ?
– Symbol 1
5 hours ago
Like this tex.stackexchange.com/questions/333330/… ?
– Symbol 1
5 hours ago
The equation is very complex to plot. I am not sure if such functions are available on latex. It is called Laguerre polynomial.
– RD1153
4 hours ago
The equation is very complex to plot. I am not sure if such functions are available on latex. It is called Laguerre polynomial.
– RD1153
4 hours ago
1
1
Here are additional possibilities. No, Laguerre polynomials are not too complex to be plotted, but this is a LaTeX site, so if you provide equations and an example, people will be happy to help you, but they are less eager to dig out from the internet and guess what you might want.
– marmot
4 hours ago
Here are additional possibilities. No, Laguerre polynomials are not too complex to be plotted, but this is a LaTeX site, so if you provide equations and an example, people will be happy to help you, but they are less eager to dig out from the internet and guess what you might want.
– marmot
4 hours ago
add a comment |
1 Answer
1
active
oldest
votes
Here is an attempt to draw the most complicated one I saw on google image.
documentclass[tikz]{standalone}
pgfdeclarefunctionalshading{Laguerre-Gaussian modes}{pgfpoint{-25bp}{-25bp}}{pgfpoint{25bp}{25bp}}{}{
% x y
2 copy % x y x y
exch atan % x y theta
4 mul % x y 4theta
cos % x y cos(4theta)
dup mul % x y cos^2(4theta)
3 1 roll % cos^2(4theta) x y
dup mul exch dup mul
add sqrt % cos^2(4theta) r
20 mul % cos^2(4theta) 20r
90 add % cos^2(4theta) 20r+90
cos dup mul % cos^2(4theta) cos(20r+90)
mul % cos^2(4theta)*cos(20r+90)
sqrt
}
begin{document}
tikzpath[shading=Laguerre-Gaussian modes](-10,-10)rectangle(10,10);
end{document}
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
1
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
1
@marmot The shading accepts a very restricted subset of postscript. SeePDF32000_2008.pdfAppendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.
– Symbol 1
4 hours ago
1
You can tell that it is not from an automatic tool becausecos(20r+90)should becos^2(20r+90)
– Symbol 1
4 hours ago
1
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
add a comment |
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1 Answer
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active
oldest
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1 Answer
1
active
oldest
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active
oldest
votes
active
oldest
votes
Here is an attempt to draw the most complicated one I saw on google image.
documentclass[tikz]{standalone}
pgfdeclarefunctionalshading{Laguerre-Gaussian modes}{pgfpoint{-25bp}{-25bp}}{pgfpoint{25bp}{25bp}}{}{
% x y
2 copy % x y x y
exch atan % x y theta
4 mul % x y 4theta
cos % x y cos(4theta)
dup mul % x y cos^2(4theta)
3 1 roll % cos^2(4theta) x y
dup mul exch dup mul
add sqrt % cos^2(4theta) r
20 mul % cos^2(4theta) 20r
90 add % cos^2(4theta) 20r+90
cos dup mul % cos^2(4theta) cos(20r+90)
mul % cos^2(4theta)*cos(20r+90)
sqrt
}
begin{document}
tikzpath[shading=Laguerre-Gaussian modes](-10,-10)rectangle(10,10);
end{document}
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
1
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
1
@marmot The shading accepts a very restricted subset of postscript. SeePDF32000_2008.pdfAppendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.
– Symbol 1
4 hours ago
1
You can tell that it is not from an automatic tool becausecos(20r+90)should becos^2(20r+90)
– Symbol 1
4 hours ago
1
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
add a comment |
Here is an attempt to draw the most complicated one I saw on google image.
documentclass[tikz]{standalone}
pgfdeclarefunctionalshading{Laguerre-Gaussian modes}{pgfpoint{-25bp}{-25bp}}{pgfpoint{25bp}{25bp}}{}{
% x y
2 copy % x y x y
exch atan % x y theta
4 mul % x y 4theta
cos % x y cos(4theta)
dup mul % x y cos^2(4theta)
3 1 roll % cos^2(4theta) x y
dup mul exch dup mul
add sqrt % cos^2(4theta) r
20 mul % cos^2(4theta) 20r
90 add % cos^2(4theta) 20r+90
cos dup mul % cos^2(4theta) cos(20r+90)
mul % cos^2(4theta)*cos(20r+90)
sqrt
}
begin{document}
tikzpath[shading=Laguerre-Gaussian modes](-10,-10)rectangle(10,10);
end{document}
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
1
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
1
@marmot The shading accepts a very restricted subset of postscript. SeePDF32000_2008.pdfAppendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.
– Symbol 1
4 hours ago
1
You can tell that it is not from an automatic tool becausecos(20r+90)should becos^2(20r+90)
– Symbol 1
4 hours ago
1
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
add a comment |
Here is an attempt to draw the most complicated one I saw on google image.
documentclass[tikz]{standalone}
pgfdeclarefunctionalshading{Laguerre-Gaussian modes}{pgfpoint{-25bp}{-25bp}}{pgfpoint{25bp}{25bp}}{}{
% x y
2 copy % x y x y
exch atan % x y theta
4 mul % x y 4theta
cos % x y cos(4theta)
dup mul % x y cos^2(4theta)
3 1 roll % cos^2(4theta) x y
dup mul exch dup mul
add sqrt % cos^2(4theta) r
20 mul % cos^2(4theta) 20r
90 add % cos^2(4theta) 20r+90
cos dup mul % cos^2(4theta) cos(20r+90)
mul % cos^2(4theta)*cos(20r+90)
sqrt
}
begin{document}
tikzpath[shading=Laguerre-Gaussian modes](-10,-10)rectangle(10,10);
end{document}
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
Here is an attempt to draw the most complicated one I saw on google image.
documentclass[tikz]{standalone}
pgfdeclarefunctionalshading{Laguerre-Gaussian modes}{pgfpoint{-25bp}{-25bp}}{pgfpoint{25bp}{25bp}}{}{
% x y
2 copy % x y x y
exch atan % x y theta
4 mul % x y 4theta
cos % x y cos(4theta)
dup mul % x y cos^2(4theta)
3 1 roll % cos^2(4theta) x y
dup mul exch dup mul
add sqrt % cos^2(4theta) r
20 mul % cos^2(4theta) 20r
90 add % cos^2(4theta) 20r+90
cos dup mul % cos^2(4theta) cos(20r+90)
mul % cos^2(4theta)*cos(20r+90)
sqrt
}
begin{document}
tikzpath[shading=Laguerre-Gaussian modes](-10,-10)rectangle(10,10);
end{document}
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
answered 4 hours ago
Symbol 1Symbol 1
25.1k238120
25.1k238120
1
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
1
@marmot The shading accepts a very restricted subset of postscript. SeePDF32000_2008.pdfAppendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.
– Symbol 1
4 hours ago
1
You can tell that it is not from an automatic tool becausecos(20r+90)should becos^2(20r+90)
– Symbol 1
4 hours ago
1
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
add a comment |
1
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
1
@marmot The shading accepts a very restricted subset of postscript. SeePDF32000_2008.pdfAppendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.
– Symbol 1
4 hours ago
1
You can tell that it is not from an automatic tool becausecos(20r+90)should becos^2(20r+90)
– Symbol 1
4 hours ago
1
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
1
1
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
I would give +100 if I could. Do you know the postscript syntax, or do you use a tool to convert human readable instructions into this language?
– marmot
4 hours ago
1
1
@marmot The shading accepts a very restricted subset of postscript. See
PDF32000_2008.pdf Appendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.– Symbol 1
4 hours ago
@marmot The shading accepts a very restricted subset of postscript. See
PDF32000_2008.pdf Appendix B. I have some muscle memory inherited from the last time I answered the Hermite-Gaussian question.– Symbol 1
4 hours ago
1
1
You can tell that it is not from an automatic tool because
cos(20r+90) should be cos^2(20r+90)– Symbol 1
4 hours ago
You can tell that it is not from an automatic tool because
cos(20r+90) should be cos^2(20r+90)– Symbol 1
4 hours ago
1
1
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
@marmot You can give +100 : start a bounty after 2 days.
– Kpym
28 mins ago
add a comment |
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1
Like this tex.stackexchange.com/questions/333330/… ?
– Symbol 1
5 hours ago
The equation is very complex to plot. I am not sure if such functions are available on latex. It is called Laguerre polynomial.
– RD1153
4 hours ago
1
Here are additional possibilities. No, Laguerre polynomials are not too complex to be plotted, but this is a LaTeX site, so if you provide equations and an example, people will be happy to help you, but they are less eager to dig out from the internet and guess what you might want.
– marmot
4 hours ago