A plane wave in vacuum with wave vector kI reflects from a nonmagnetic sample into a plane wave with wave vector kR. At x ray wavelengths, the index of refraction of essentially all matter is very slightly less than 1. Typically, n ≈ 1 − δ with δ ∼ 10⁻⁵. This makes the phenomenon of total external reflection of x-rays possible. Let q = k_R − k_I and show that the Fresnel reflection coefficients for s- and p-polarization, R_s and R_p, both vary as q ⁻⁴ when the angle α₁ 

Transcribed Image Text:

Kj a1 0₁ 0₁ n=1-8 KR α1