Abstract

On the basis of the unitary transformation and the Lie algebra decomposition technology widely used in quantum mechanics, we obtain the analytical propagator for light beams propagating through an imperfect gradient-index (GRIN) waveguide. The results show that, unlike in the straight GRIN waveguide widely studied, in an imperfect GRIN waveguide, self-imagining phenomena can result in two new effects: one is a phase shift including a global one and a local one, in which the local one results in a change of direction of the light beam propagating through the imperfect GRIN waveguide; the other is a transverse shift of self-image. The transverse deviation occurring in the imperfect GRIN waveguide is also calculated.

© 2004 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)

Talbot effect in a tapered gradient-index medium for nonuniform and uniform illumination

Maria Teresa Flores-Arias, Carmen Bao, Maria Victoria Pérez, and Carlos Gómez-Reino
J. Opt. Soc. Am. A 16(10) 2439-2446 (1999)

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)

Gradient-index tapered hyperbolic secant planar waveguide for focusing, collimation, and beam-size control

C. Bao, C. Gómez-Reino, and M. V. Pérez
J. Opt. Soc. Am. A 14(8) 1754-1759 (1997)