What is the total optical path length of two media in contact with thicknesses of d and d 4 and refractive indices of n₁ and n₂ , respectively?

Step-by-step solution

Optical path length is given by the product of the refractive index and the geometric thickness of the medium. For the first medium, the optical path length is x₁ = n₁ d . For the second medium, the optical path length is x₂ = n₂ ( d 4 ) . The total optical path length is the sum of the individual optical path lengths: x = x₁ + x₂ x = n₁ d + n₂ d 4 x = d(4n₁ + n₂) 4 Answer: d(4n₁ + n₂) 4