Abstract

A new method of designing geodesic lenses is described. The lens shape is expressed with a uniform function. The curvature of the lens shape is restricted within an upper limit to prevent the light leaking from the waveguide. The value of the curvature limit can be specified at the start of design calculation. A comparison with a former design method is also given. The numerical aperture of the lens is found to be improved up to 24%.

© 1990 Optical Society of America

Particular solution for geodesic lenses

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

Theoretical analysis of a new family of geodesic lenses

S. Sottini and E. Giorgetti
J. Opt. Soc. Am. A 4(2) 346-351 (1987)

Rotationally asymmetrical geodesic lenses

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

Axially symmetric geodesic lenses

G. E. Betts, J. C. Bradley, G. E. Marx, D. C. Schubert, and H. A. Trenchard
Appl. Opt. 17(15) 2346-2351 (1978)

Perfect geodesic lens designing

Jacek Sochacki
Appl. Opt. 25(2) 235-243 (1986)