Computation of electromagnetic waves diffraction by spectral moments method

Abstract

In this paper, we solve, for the first time, electromagnetic wave propagation equations in heterogeneous media using the spectral moments method. This numerical method, first developed in condensed matter physics, was recently successfully applied to acoustic waves propagation simulation in geophysics. The method requires the introduction of an auxiliary density function, which can be calculated by the moments technique. This allows computation of the Green's function of the whole system as a continued fraction in time Fourier domain. The coefficients of the continued fraction are computed directly from the dynamics matrix obtained by discretization of wave propagation equations and from the sources and receivers. We illustrate this method through the study of a plane wave diffraction by a slit in two-dimensional (2-D) media and by a rectangular aperture in three-dimensional (3-D) media. Comparison with analytical results obtained with the Kirchhoff theory shows that this method is a very powerful tool to solve propagation equations in heterogeneous media. Last, we present a brief comparison with other computing methods.

Numerical study of electromagnetic wave propagation in twisted birefringent layers by the spectral moments method

“…We recall the principal points concerning the method used here. For more detail concerning the general technique, see Benoit (1987), Benoit et al (1992Benoit et al ( ,1995 and Chenouni et al (1996).…”

“…The mathematical basis of this method has been developed (Benoit et al 1995) and some very simple applications have been reported to illustrate the method. SMM was shown to be very useful for solving propagation of acoustic (Rousseau et al 1996) and electromagnetic (Chenouni et al 1996) waves in isotropic heterogeneous media; it was very interesting to apply the method to a much more complex system in order to test its efficiency fully. We thus used the SMM to study light transmission of thin cells of twisted birefringent layers.…”

Study of electromagnetic wave diffraction by a dielectric coating and metal diaphragm over an endless waveguide antenna array

“…This paper considers the difference between the exact and optical solution of the wedge diffraction problem. In some works, the analysis of diffraction is carried out by the spectral method [6].…”

Introduction of fractal absorbing boundary conditions in electromagnetic simulation by SMM

“…It is a mixed method, both temporal and frequencial, which gives the result for all frequencies in one computation directly, and for any incident pulse. Some applications have already been reported: propagation in twisted birefringent layers with defects (Lakhliai et al 1996), electromagnetic wave diffraction by rectangular aperture in two and three dimensions (Chenouni et al 1998) and by a circular or a square dielectric cylinder (Poussigue et al 1996). In this latter application, no absorbing boundary condition was inserted in the very large domain.…”