Abstract

Light transmission through a gradient-index medium, whose refractive-index profile can be represented by a one-dimensional hyperbolic secant function, is analyzed by a wave-optics approach. An asymptotic expression of the corresponding optical propagator (the Green’s function) in this medium is evaluated in a such a way that nonparaxial propagation can be studied. Thus optical transformations such as focusing and collimation are obtained, and the pupil effect (diffractive effect) is shown.

© 1994 Optical Society of America

Nonparaxial diffraction-limited propagation of light in a graded-index planar medium with a hyperbolic secant refractive-index profile

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Gradient-index axicon lenses: a quasi-geometrical study

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

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Modal treatment of an optical fiber with a modified hyperbolic secant index distribution

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Beam modes in graded-index media and topological phases

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