Abstract

The design of a new family of geodesic lenses is described as a particular solution of the previously known analytic general procedure [ S. Sottini, V. Russo, and G. C. Righini, J. Opt. Soc. Am. 69, 1248 ( 1979)]. The lens profile is simplified to make the fabrication easier. Moreover, the profile curvature is always sufficient to prevent guided-light leakage. Two approximations have been introduced into the design procedure. Their effects on the lens performance have been evaluated by ray tracing, and a few simple criteria have been found that permit lenses of any focal length to be designed with a diffraction-limited aperture as large as 62% of the depression diameter.

© 1987 Optical Society of America

Particular solution for geodesic lenses

Liu Ji, Shi Bangren, and Hu Xierong
Appl. Opt. 33(27) 6412-6414 (1994)

New design for geodesic lenses

Takeshi Shimano, Akira Arimoto, and Kohji Muraoka
Appl. Opt. 29(34) 5060-5063 (1990)

Rotationally asymmetrical geodesic lenses

Takeshi Shimano, Claas Blacklo, and Akira Arimoto
J. Opt. Soc. Am. A 9(9) 1568-1573 (1992)

Geodesic optical waveguide lens analysis*

W. H. Southwell
J. Opt. Soc. Am. 67(10) 1293-1299 (1977)

General solution of the problem of perfect geodesic lenses for integrated optics

Stefano Sottini, Vera Russo, and Giancarlo C. Righini
J. Opt. Soc. Am. 69(9) 1248-1254 (1979)