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In this paper we discuss EM pulse excitation by a line source stretched along the plane surface of a lossless dielectric half-space. For an infinite source line, analysis performed in time domain results in an explicit formula for the self-similar spatio-temporal 2D Green function. By convolution, for an arbitrary transient current source, the amplitude and waveform of the emitted pulse, as a function...
Computational aspects of the parabolic equation method are discussed: transparent boundary conditions for straight and bent Bragg waveguides, 3D finite-difference scheme in polar coordinates, estimation of radiation losses and fundamental mode stabilization.
The method of phase parameter is used for analytical description of parametric resonance in linear and nonlinear systems. By analogy, the results are applied to wave propagation in dielectric media with periodically varying parameters, such as multilayer mirror or Bragg waveguide. The problem of analytical treatment of chromatic dispersion is discussed.
A new analytical approach to direct and inverse problems of wave propagation in periodic media is developed. By regarding the advancing wave phase as a new independent variable we construct a continuum of exact solutions of the 1D wave equation for arbitrary index profiles. This parametric solution is applied to the study of evanescent Bloch waves in forbidden zones. An explicit formula for the decay...
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