TRANSIENT ANALYSIS OF A RECTANGULAR CAVITY CONTAINING AN INTERIOR SCATTERER USING TD-EFIE WITH WEIGHTED LAGUERRE POLYNOMIALS AS TEMPORAL BASIS FUNCTIONS | Zendy

Dorsaf Omri | Zendy; Taoufik Aguili | Zendy

Open Access

TRANSIENT ANALYSIS OF A RECTANGULAR CAVITY CONTAINING AN INTERIOR SCATTERER USING TD-EFIE WITH WEIGHTED LAGUERRE POLYNOMIALS AS TEMPORAL BASIS FUNCTIONS

Author(s) -

Dorsaf Omri,

Taoufik Aguili

Publication year - 2014

Publication title -

progress in electromagnetics research m

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.216

H-Index - 31

ISSN - 1937-8726

DOI - 10.2528/pierm14072108

Subject(s) - laguerre polynomials , basis function , electric field integral equation , mathematical analysis , laguerre's method , orthonormal basis , transient (computer programming) , mathematics , method of moments (probability theory) , integral equation , physics , orthogonal polynomials , classical orthogonal polynomials , computer science , operating system , statistics , quantum mechanics , estimator

Novel 2-D Time Domain Electric Field Integral Equations (TD-EFIE) are established in order to predict transient response of a wire enclosed within a rectangular cavity. The wire and cavity are excited by an external incident transient electromagnetic wave through a slot in the cavity wall. The formulation of the TD-EFIE is based on equivalence principle and boundary conditions taking account the effect of reflection from cavity walls. The equations are efficiently solved by Method of Moments. The transient unknown coefficients of the electric current at the wire and magnetic current at the slot are approximated using a set of orthonormal temporal basis functions derived from Laguerre Polynomials. The analysis demonstration is presented to prove that the novel TD-EFIE combined to MoM is able to solve this critical problem. No late-time instability is encountered.

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