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While playing around with some laser diodes I have at home ~(405, 550, 650 nm) I have noticed that the refracted angles through some mediums (all?) is different.
That is, if I fire my 405nm laser through some water at \theta_{1}=80°, the angle of refraction is ~\theta_{2}=47.01±0.05°.
Now, if I fire my 550nm laser through the same water, at \theta_{1}, the angle of refraction is ~\theta_{3}=47.30±0.05°.
And, finally, if I fire my 650nm laser through the same water, at \theta_{1}, the angle of refraction is ~\theta_{4}=47.50±0.05°.
So, basically, all I know about refraction is snells law: n_{1}/n_{2}=Sin\theta_{2}/Sin\theta_{1}. I don't really know how to mathematically find the relationship between wavelength and refraction.
I googled a bit and didn't see anything that popped out immediately to me. Aside from v=c/n => n = c/v => n = c/(fλ), and that what I'm dealing with here may be "dispersion."
So, is there a relationship here? Is there a relatively simple way for me to relate the angle refracted, wavelength, and the index of refraction of a medium?
How would I predict the angle refracted through a medium at a specific wavelength of light? Is it possible with such little information?
Could I say n = c/(λf) where c and f are fixed (what value do I use for frequency? Or is this specified on my diode?)
(My physics experienced ended with 2nd year physics, and we didn't spend too much time of refraction or optics.)
That is, if I fire my 405nm laser through some water at \theta_{1}=80°, the angle of refraction is ~\theta_{2}=47.01±0.05°.
Now, if I fire my 550nm laser through the same water, at \theta_{1}, the angle of refraction is ~\theta_{3}=47.30±0.05°.
And, finally, if I fire my 650nm laser through the same water, at \theta_{1}, the angle of refraction is ~\theta_{4}=47.50±0.05°.
So, basically, all I know about refraction is snells law: n_{1}/n_{2}=Sin\theta_{2}/Sin\theta_{1}. I don't really know how to mathematically find the relationship between wavelength and refraction.
I googled a bit and didn't see anything that popped out immediately to me. Aside from v=c/n => n = c/v => n = c/(fλ), and that what I'm dealing with here may be "dispersion."
So, is there a relationship here? Is there a relatively simple way for me to relate the angle refracted, wavelength, and the index of refraction of a medium?
How would I predict the angle refracted through a medium at a specific wavelength of light? Is it possible with such little information?
Could I say n = c/(λf) where c and f are fixed (what value do I use for frequency? Or is this specified on my diode?)
(My physics experienced ended with 2nd year physics, and we didn't spend too much time of refraction or optics.)
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