Abstract
The transmission line matrix method is used to study Helmholtz solitons as solutions of the two-dimensional time-domain Maxwell equations in nonlinear media. This approach permits to address, in particular, the propagation and intrinsic stability properties of subwavelength soliton solutions of the scalar nonlinear wave equation and the behavior of optical solitons at arbitrary interfaces. Various numerical issues related to the analysis of soliton beams using the time-domain method are also discussed.
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