Abstract

This paper is concerned with the interaction of an electromagnetic cylindrical coherent wave with a single cylindrical lens. The fields outside and inside the lens are derived from the rigorous solution of a boundary-value problem. The lens used here is double convex and has dimensions of the order of the wavelength. Three types of incident waves are used, a plane wave, a cylindrical wave produced by a line source, and a limited-wave-front wave. There is no energy concentration at the geometrical focus; nevertheless, the lens remains convergent and concentrates energy near the optical axis. The computed results are compared to those obtained by means of well-known optical methods. Good agreement exists between the two methods, at least on and near the optical axis. The plane wave is a good approximation for a limited-wave-front wave over a large part of the lens axis and for off-axis points in the angular sector (−30°, +30°).

© 1973 Optical Society of America

Smith–Purcell radiation from a line charge moving parallel to a reflection grating

P. M. van den Berg
J. Opt. Soc. Am. 63(6) 689-698 (1973)

Smith–Purcell radiation from a point charge moving parallel to a reflection grating

P. M. van den Berg
J. Opt. Soc. Am. 63(12) 1588-1597 (1973)

Asymptotic theory of unstable resonator modes*

Paul Horwitz
J. Opt. Soc. Am. 63(12) 1528-1543 (1973)

Extended theory of light modulation in thin-screen diffraction by ultrasound

F. Calligaris, P. Ciuti, and I. Gabrielli
J. Opt. Soc. Am. 63(3) 287-292 (1973)

Scattering and extinction cross sections for a spherical particle coated with an oriented molecular layer

J. Roth and M. J. Dignam
J. Opt. Soc. Am. 63(3) 308-311 (1973)