Abstract

The equations for the relationships between the input and output power and phase distribution of a general lens with two refracting surfaces have been derived. The equations are specialized to the case of transforming a spherical wave with constant power per unit solid angle into a uniform power and phase distribution over the lens aperture. These equations are obtained for the purpose of solving for the coordinates of the two surfaces of a lens which will perform the indicated transformation. Existence of solutions and bounds on solutions are examined in terms of the lens parameters. Solutions for the lens contours are obtained numerically for different values of index of refraction and thickness. Changes in the contours as a function of these parameters are discussed.

© 1972 Optical Society of America

Multiple Imaging Using Various Types of Simple Phase Gratings

L. P. Boivin
Appl. Opt. 11(8) 1782-1792 (1972)

Measurement of Vibrational Amplitude by Modulation of Projected Fringes

C. M. Vest and D. W. Sweeney
Appl. Opt. 11(2) 449-454 (1972)

Random Phase Shifters for Fourier Transformed Holograms

Y. Takeda, Y. Oshida, and Y. Miyamura
Appl. Opt. 11(4) 818-822 (1972)

Modes in Helical Gas Lenses

J. A. Arnaud
Appl. Opt. 11(11) 2514-2521 (1972)

Optical Design at Kodak

R. Kingslake, D. P. Feder, and C. P. Bray
Appl. Opt. 11(1) 50-53 (1972)