Abstract
This paper is mainly devoted to application of the Gaussian beam summation technique in electromagnetic simulations problem. Gaussian beams are asymptotic solutions of the Helmholtz equation within the paraxial approximation. Since they are insensitive to ray transition region, several techniques based on Gaussian beam are used to evaluate high frequency EM wave equation, which overcome partially or fully the difficulties of singular regions (caustics, zero field in shadow zones). This paper concentrates on the explicit formulation of the electromagnetic field scattered from radar target. In this approach, when the incident field illuminates the target, the scattering is accounted in a complex weighing function. The wave field at a receiver is evaluated as superposition of Gaussian beams concentrated close to rays emerging from the target, passing through the neighbor of the receiver.
Highlights
Asymptotic methods using high-frequency approximations and the hypothesis of locally plane wave are based on the principle of rays
Gaussian beams are asymptotic solutions of the Helmholtz equation within the paraxial approximation. Since they are insensitive to ray transition region, several techniques based on Gaussian beam are used to evaluate high frequency EM wave equation, which overcome partially or fully the difficulties of singular regions
The wave field at a receiver is evaluated as superposition of Gaussian beams concentrated close to rays emerging from the target, passing through the neighbor of the receiver
Summary
Asymptotic methods using high-frequency approximations and the hypothesis of locally plane wave are based on the principle of rays. For the GBL formulation, we give asymptotic evaluation of the radiation integral for the fields scattered from the target, to within the physical optics approximation. In the former, the normalization coefficient of the integral is identified by matching the analytical solution to the ray asymptotic solution as it happens to the Geometrical Optic (GO) solution. The two methods will be compared and simulation with canonical target will be compared to asymptotic methods (Physical Optic) and rigorous method (Method of Moment) to assess the advantages of these techniques
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