Application of matrix pencil to obtain the current modes on electrically large bodies

The matrix pencil method, in combination with an interpolation using nonuniform rational bi-spline surfaces, is applied for the expansion of the induced currents on complex bodies in terms of current-modes. The approach is useful for solving electrically large problems of radiation or scattering using physical optics with one or more bounces. The techniques presented in this paper can be also useful to improve some rigorous methods

[1]  F. de Adana,et al.  Physical optics analysis of multiple interactions in large scatters using current modes , 2006, IEEE Transactions on Antennas and Propagation.

[2]  M.W. Chevalier,et al.  A PML using a convolutional curl operator and a numerical reflection coefficient for general linear media , 2004, IEEE Transactions on Antennas and Propagation.

[3]  M. Cátedra,et al.  Efficient procedure for computing fields created by current modes , 2003 .

[4]  M. Cátedra,et al.  Method to interpolate induced current with low amount of sample points by means of Bezier surfaces , 2003 .

[5]  Jian-Ming Jin,et al.  Fast and Efficient Algorithms in Computational Electromagnetics , 2001 .

[6]  Do-Hoon Kwon,et al.  Efficient method of moments formulation for large PEC scattering problems using asymptotic phasefront extraction (APE) , 2001 .

[7]  D. Kalluri,et al.  Three-dimensional FDTD simulation of electromagnetic wave transformation in a dynamic inhomogeneous magnetized plasma , 1999 .

[8]  Raj Mittra,et al.  A technique for extrapolating numerically rigorous solutions of electromagnetic scattering problems to higher frequencies and their scaling properties , 1999 .

[9]  Raj Mittra,et al.  Efficient representation of induced currents on large scatterers using the generalized pencil of function method , 1996 .

[10]  Andrew F. Peterson,et al.  Application of the integral equation-asymptotic phase method to two-dimensional scattering , 1995 .

[11]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[12]  Weng Cho Chew,et al.  A 3D perfectly matched medium from modified maxwell's equations with stretched coordinates , 1994 .

[13]  Charles W. Therrien,et al.  Discrete Random Signals and Statistical Signal Processing , 1992 .

[14]  Tapan K. Sarkar,et al.  Matrix pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise , 1990, IEEE Trans. Acoust. Speech Signal Process..

[15]  Fujio Yamaguchi,et al.  Curves and Surfaces in Computer Aided Geometric Design , 1988, Springer Berlin Heidelberg.

[16]  V. Veselago The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .