Abstract

We mathematically analyze the phase-only hologram constructed by taking the phase corresponding to the linear combination of two weighted phase functions. We show that this phase-only hologram may be written as a new linear combination for the original phase functions with new weights. Expressions for the new weights are developed to control the performance of the hologram. Also, some nondesired new terms appear and are written in terms of the original phase functions. The particular case of a bifocal lens is analyzed.

© 1995 Optical Society of America

Redistribution of output weighting coefficients for complex multiplexed phase-diffractive elements

Hua Liu, Zhenwu Lu, and Fengyou Li
Opt. Express 12(19) 4347-4352 (2004)

Diffractive phase elements based on two-dimensional artificial dielectrics

F. T. Chen and H. G. Craighead
Opt. Lett. 20(2) 121-123 (1995)

Programmable diffractive optical element using a multichannel lanthanum-modified lead zirconate titanate phase modulator

James A. Thomas and Yeshaiahu Fainman
Opt. Lett. 20(13) 1510-1512 (1995)

Intensity-weighted phase-derivative statistics

Eric Jakeman, Stephen M. Watson, and Kevin D. Ridley
J. Opt. Soc. Am. A 18(9) 2121-2131 (2001)

Diffractive phase elements for beam shaping: a new design method

Xin Tan, Ben-Yuan Gu, Guo-Zhen Yang, and Bi-Zhen Dong
Appl. Opt. 34(8) 1314-1320 (1995)