J. Linares et C. Gomezreino, OPTICAL PROPAGATOR IN A GRADED-INDEX MEDIUM WITH A HYPERBOLIC SECANT REFRACTIVE-INDEX PROFILE, Applied optics, 33(16), 1994, pp. 3427-3431
Light transmission through a gradient-index medium, whose refractive-i
ndex profile can be represented by a one-dimensional hyperbolic secant
function, is analyzed by a wave-optics approach. An asymptotic expres
sion 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 col
limation are obtained, and the pupil effect (diffractive effect) is sh
own.