Spectra Laser

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Photo & physics challenge - can you find the grating constant from a picture?

In the following image,

http://www.fianium.com/images/products/large/optical1.jpg

you can see a strong continuous-spectrum fiber laser beam diffracted on a diffraction grating.

Given that the dimensions of the top face of the box are 300x250 mm, assuming that the white beam is parallel to this face and neglecting perspective corrections, can you compute the grating constant of the diffraction grating used to decompose the beam?

I have not tried this but you should have all the data you need, except for some general physical constants. Good luck and have fun ;-)
Frst Grade Rocks: I like very much your idea of mangling the image, it's so much more elegant than solving it algebraically :-)
However, are you sure you did it right? The top face in your image is a rectangle but the side ratio does not match my prescribed 6:5. I think that one more stretching is needed, which will change the angle of the first order maximum.

I get the blue (450 nm) coming off at ~30 degrees

d sinθ = λ
d= slit

d = λ / sinθ

d = 900 nm

This is 1,111 lines/mm

Btw: I got interested when you said continuous spectrum laser. So I looked up the product sheet: http://www.fianium.com/pdf/datasheets/sc450-pp-he.pdf

It says it is a class 4 laser, but is it? Or is this just based on its energy density? And if so, I wonder about the source and the focusing to get that kind of output. All and all, it is pretty interesting stuff.

*******

I will have to double check the dimensions and your ideas. (Have to go right now). What I did was to get the box top so that it had right angle edges. That way the plane that the light beam is in should also be correct rather than simply a perspective.

*******

I realize that I made an error. I redid the photo so that I had both a 90 deg angle and a 6:5 ratio. Came out with ~25 degrees. Here is the photo: http://i278.photobucket.com/albums/kk114/Remo_Aviron/optical2.jpg

Vasek: Leave this one open and I will try to do the 3D geometry to get the angle tonight and hopefully, they will be the same. (unless someone else wants to try)
d = 1064 nm
lines = 934 lines/mm

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