Search for: [Description = "Numerical and semi\-analytical methods useful for analysis of the total field propagation in dielectric waveguides with sharp and smooth discontinuities are reviewed. The efficiency of these methods to model the field propagation in such structures is discussed comparatively. As an example, spatial transient regime of the radiation field propagation in planar step\-index waveguide excited by a Gaussian beam is simulated numerically by two different beam propagation methods."]

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