how to draw a plane?

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bsd 2011-9-21

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https://ww2.mathworks.cn/matlabcentral/answers/16381-how-to-draw-a-plane

Hai,

I am working on optics. I have plotted a lens in matlab. The rays of light emerging out of the lens, after undergoing refraction in the lens, needs to be projected on a square plane in front of the lens. How is it possible to draw a plane in matlab? Looking forward to hearing from you soon.

BSD

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Answer 1

Walter Roberson 2011-9-21

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https://ww2.mathworks.cn/matlabcentral/answers/16381-how-to-draw-a-plane#answer_22129

You can use patch() to draw a shape embedded in 3D.

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bsd 2011-9-24

http://www.opticasoftware.com/documentation/Rayica/PrinciplesOfRayica/4Customization/index.html#.1.2

go to the above link, and see the figure just immediately above the section 4.3. This is what I want to do using matlab, after the rays emerge out of the lens, and they hit an aperture in front of it, as seen in the above figure.

Walter Roberson 2011-9-24

Yup, you will be wanting non-zero z for that. The basic call will be as I gave above, patch([0 0 1 1 0], [0 1 1 0 0], [0 0 0 0 0]), but you will want different coordinates. The first parameter is a list of the x coordinates, the second parameter is a list of the corresponding y coordinates, and the third parameter is a list of the corresponding z coordinates.

You will also want to create a patch() for each of the apertures. You can use the usual sin() vs cos() coordinates if your square is perpendicular to one of the axes. For example,

sides = 17;

radius = 3;

angles = linspace(0,2*pi,sides+1) .';

coords = [radius * sin(angles), zeros(size(angles)), radius * cos(angles)];

xoff = 5; yoff = 2.8; zoff=3.3;

patch(xoff + coords(:,1), yoff + coords(:,2), zoff + coords(:,3));

and to draw the next circle, just change the xoff, yoff, zoff, and repeat the patch() command.

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