Abstract

The theory of geometrical optics fails to predict correctly the backscattered signal from inhomogeneous lenses that are spherically symmetric and whose index of refraction possesses a point singularity. The correction to the geometrical optics can be obtained by an asymptotic treatment of the exact solution for very short wavelengths. A class of spherically symmetric and radially inhomogeneous lenses is treated as an example.

© 1971 Optical Society of America

Scattering from Inhomogeneous Cylindrically Symmetric Lenses with a Line Infinity in the Index of Refraction

Nicolaos G. Alexopoulos
J. Opt. Soc. Am. 62(9) 1088-1094 (1972)

Inhomogeneous Lenses, III. Paraxial Optics

P. J. Sands
J. Opt. Soc. Am. 61(7) 879-885 (1971)

Propagation of the Nth-Order Coherence Function in a Random Medium. The Governing Equations

John E. Molyneux
J. Opt. Soc. Am. 61(2) 248-255 (1971)

Inhomogeneous Lenses, V. Chromatic Paraxial Aberrations of Lenses with Axial or Cylindrical Index Distributions

P. J. Sands
J. Opt. Soc. Am. 61(11) 1495-1500 (1971)

Third-Order Aberrations of Inhomogeneous Lenses with Cylindrical Index Distributions

Duncan T. Moore and P. J. Sands
J. Opt. Soc. Am. 61(9) 1195-1201 (1971)