Abstract

A generalization of the Talbot effect to the case of a tapered gradient-index medium for nonuniform and uniform illumination is considered. Self-image positions are changed by a function depending on the taper profile, the illumination, and the periodic object. An analogy with the conventional lens-imaging formula for both types of illumination is presented.

© 1999 Optical Society of America

Fractional Talbot effect in a tapered gradient-index medium: unit cell

Marı́a Teresa Flores-Arias, Carlos R. Fernandez-Pousa, Marı́a Victoria Perez, Carmen Bao, and Carlos Gómez-Reino
J. Opt. Soc. Am. A 17(6) 1007-1011 (2000)

Influence of imperfections in gradient-index waveguides on Talbot effects

Kaicheng Zhu and Huiqin Tang
J. Opt. Soc. Am. A 21(2) 187-192 (2004)

Talbot effect interpreted by number theory

Marı́a Teresa Flores-Arias, Marı́a Victoria Pérez, Carlos Gómez-Reino, Carmen Bao, and Carlos R. Fernández-Pousa
J. Opt. Soc. Am. A 18(11) 2707-2716 (2001)

Fractional Talbot effect in a Selfoc gradient-index lens

M. T. Flores-Arias, C. Bao, M. V. Pérez, and C. R. Fernández-Pousa
Opt. Lett. 27(23) 2064-2066 (2002)

Walsh–Hadamard analysis applied to the study of light propagation in a tapered gradient-index medium

Osvaldo Trabocchi and Carlos Gómez-Reino
J. Opt. Soc. Am. A 21(3) 388-392 (2004)