Transient Analysis of a Rectangular Cavity Containing an Interior Scatterer Using Td-Efie With Weighted Laguerre Polynomials as Temporal Basis Functions

Abstract

Abstract-Novel 2-D Time Domain Electric FieldIntegral 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.

Stable marching‐on‐in‐time algorithm capable of handling multiple excitations – application to wire junction problems

“…We further note that the Gaussian functions decay as time progresses, reach zero at infinity, easily differentiable, not prone to late-time instabilities, and well-suited for the present work. Furthermore, the pulse functions, defined in (9) to represent the space variable ℓ, are standard sub-domain basis functions commonly used in the FD-MOM scheme. Also, note that the node points, excluding the boundary nodes, refer to the unknowns in space and the current pulse function spans half-pulse distance on either side of the node.…”

“…Recently, a new type of algorithm is developed to obtain TD RCS by a process known as marching-on-in-degree (MOD) method [7][8][9]. In this method, the time variable is modelled by a series of decaying polynomials viz.…”