Abstract

The scalar theory of paraxial wave propagation in an axisymmetric medium where the refraction index quadratically depends on transverse variables is addressed. Exact solutions of the corresponding parabolic equation are presented, generalizing the Laplace–Gauss and Helmholtz–Gauss modes earlier known for homogeneous media. Also, a generalization of a zero-order asymmetric Bessel–Gauss beam is given.

© 2016 Optical Society of America

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