Question

what is the mathematical formula of shell's law.

Answer 1

Snell's law states that the ratio of the sines of the angles of incidence and refraction is equivalent to the ratio of phase velocities in the two media, or equivalent to the reciprocal of the ratio of the indices of refraction:

{\displaystyle {\frac {\sin \theta _{2}}{\sin \theta _{1}}}={\frac {v_{2}}{v_{1}}}={\frac {n_{1}}{n_{2}}}}

with each {\displaystyle \theta } as the angle measured from the normal of the boundary, {\displaystyle v} as the velocity of light in the respective medium (SI units are meters per second, or m/s), {\displaystyle \lambda } as the wavelength of light in the respective medium and {\displaystyle n} as the refractive index (which is unitless) of the respective medium.

Answer 2

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