Abstract
generation TDBPMSHG , which is an extension of the linear TDBPM. It involves solving the coupled parabolic nonlinear equations using the explicit finite-difference technique, where all spatial and time variations were retained in the analysis. The technique was also applied to model pulsed optical beams in a dielectric waveguide containing secondorder nonlinear effects. It is concluded that the method is very efficient and simple to implement. The TDBPMSHG is well suited for the study of the unidirectional propagation of compact temporal pulses over long distances in a guidedwave environment. In addition, the method should find application in the study of spatiotemporal optical solitons in media with quadratic nonlinearity 17 .
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