This problem is a combination of optics and derivatives

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SUMMARY

This discussion focuses on deriving the derivative dr/di using Snell's Law, specifically the relationship between the angles of incidence (r) and refraction (i) and the refractive index (n). The relevant equation provided is sini/sinr=n, which serves as the foundation for isolating r. Participants emphasize the need for clarity in the question posed, suggesting that the first step involves isolating r to facilitate the calculation of dr/di in terms of n and sini.

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iya
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Homework Statement
r is the angle of incidence, i is the angle of refraction. Denote the derivative dr / di as a function containing only the refractive index n and sinusoidal sini
Relevant Equations
sini/sinr=n
According to Cartesian second law, we can get this formula. but wo don't know how to do next. because we just know the sinr and sini.
 
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iya said:
Homework Statement:: r is the angle of incidence, i is the angle of refraction. Denote the derivative dr / di as a function containing only the refractive index n and sinusoidal sini
Relevant Equations:: sini/sinr=n

According to Cartesian second law, we can get this formula. but wo don't know how to do next. because we just know the sinr and sini.
Can you post the exact question, because what is written here is not clear at all (there is not even an actual question asked). Are they asking to calculate dr/di in terms of n and sin(i) only? Then he first step is to isolate r using the Snell-Descartes law.
 

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