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

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