when point source is placed near the surface of a glass plate of width 1.15 mm, I have got the fringes as shown in the figure attached. Rotating the glass slide to an angle of 10 through an axis perpendicular to the laser beam, the central bright fringe becomes dark due to change in its optical path length. How the central fringe is varying due to rotation is shown in the attachment. I want to simulate how the fringe pattern is varying with the change in the phase difference between the beams on matlab, how should I proceed, please give your references/books/articles.....
My suggestion is:
1) Try to simulate the interference pattern of a Michelson interferometer first. If you don't know how to do that, try to find any book on optics and study that.
2) When you done with 1) try to understand why your interferometer is different from a Michelson one and what happens exactly when you rotate the glass plate. (I feel I know the solution, just don't want to ruin your joy of understanding :) )
Thank you...I will try but I am very new to optical simulation and I have no idea how to do that..
Don't worry, this is very far from a complicated optical simulation. It's only a 2 beam interference :)
You can model your laser beam as a monochromatic spherical wave. It has 2 reflections from the 2 surfaces of a glass plate. It makes 2 spherical waves whose centers are shifted by a small d distance.
Let's say your optical axis is x, the position of the 1st center: (x1,0), for the 2nd: (x2,0), where x2=x1+d
The phase of the 1st wave in an observation point (x,y) is (2*pi/lambda)*distance between (x,y) and (x1,0)
What you need to calculate is something like:
I(x,y) = sin(phase1)+sin(phase2) in a set of (x,y) points.
If you use realistic values for x1, x2, d, lambda (wavelength of your laser), and (x,y) you should get what you want. :)
My idea was not to give exact solution just hints to make him think ...
I think Gabor is correct.. But still you can modify the code to make interference of many point sources. And see what you will out come! it is interesting :-)
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