Abstract

The nonlinear three-dimensional paraxial wave equation is known to be invariant under a lens transformation that describes the image of an electric field produced by a thin spherical lens. This symmetry, when coupled with other symmetries of the model, can be used for determining two sets of radiation modes by using the analysis of the nonlinear circular and planar parabolic graded-index optical guides. Mode profiles as well as their dispersion curves are calculated numerically. A variational approach is used for studying the near-modal propagation and for providing an approximate analytical description of the dispersion curves. The possibility of describing the dynamic evolution of the field in terms of coupled-radiation-mode equations is also briefly mentioned.

© 1991 Optical Society of America

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