Backscattering Cross Section of a Dielectric Elliptical Cylinder

Abstract

Numerical results are given for the backscattering cross section of a dielectric elliptical cylinder. Computations are carried out using the exact solutions in terms of Mathieu functions. Both polarizations of the incident wave are considered: one with the incident electric vector in the axial direction and the other with the incident magnetic vector in the axial direction. The parameters considered are: k₀²q²=0.004, 0.4, 4.0, 8.0, 12.0, 16.0, 20.0; 0≤qk₀ cosξ₀<6.5; ∊₁/∊₀=2.0; 0≤θ≤90°. k₀ is the free-space wavenumber, q is the semifocal length, q cosξ₀ is the length of the semimajor axis, θ is the angle of incidence with respect to the major axis, and ∊₁/∊₀ is the relative dielectric constant of the cylinder.

© 1965 Optical Society of America

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