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
Original Manuscript: November 9, 1998
Revised Manuscript: May 28, 1999
Manuscript Accepted: May 28, 1999
Published: October 1, 1999
Maria Teresa Flores-Arias, Carmen Bao, Maria Victoria Pérez, and Carlos Gómez-Reino, "Talbot effect in a tapered gradient-index medium for nonuniform and uniform illumination," J. Opt. Soc. Am. A 16, 2439-2446 (1999)