Iterative Solution of Field Problems with a Varying Physical Parameter
In modern society different trends are recognized in the usage of the available electromagnetic spectrum. One can think of wireless communication or transport of (digital) information. The density of such applications is increasing rapidly. Obtaining electromagnetic compatibility and/or reducing electromagnetic interference sometimes seems to be an impossible task. Another trend is found in electromagnetic inverse scattering and profiling. For example, this development is used in the detection and classification of land mines and other unexploded ordnance. Regarding electromagnetic inversion, one can also think of medical applications such as tomography or the detection of defects in metallic heart valves. Finally, we would like to mention the problem of electromagnetic coupling into humans in the area of clinical hyperthermia or non-ionizing radiation hazards analysis. In these applications, a rigorous electromagnetic analysis is indispensable.
KeywordsInitial Estimate Space Discretization Electromagnetic Scattering Microwave Theory Tech Extrapolation Procedure
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
R.F. Harrington, Field computation by Moment Methods
, (Macmillan, New York, 1968).Google Scholar
G.H. Golub and C.F. van Loan, Matrix Computations Third Edition
, (The Johns Hopkins University Press, Baltimore, 1996).MATHGoogle Scholar
P.M. van den Berg, Iterative computational techniques in scattering based upon the integrated square error criterion, IEEE Trans. Antennas Propagat.
, 1063–1071 (1984).CrossRefGoogle Scholar
P.M. van den Berg, Iterative schemes based on the minimization of the error in field problems, Electromagnetics
, 237–262 (1985).CrossRefGoogle Scholar
T.K. Sarkar, E. Arvas and S.M. Rao, Application of the fast Fourier transform and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies, Electromagnetics
, 99–122 (1985).CrossRefGoogle Scholar
S.A. Bokhari and N.A. Balakrishnan, A method to extend the spectral iteration technique, IEEE Trans. Antennas Propagat.
, 51–57 (1986).CrossRefGoogle Scholar
T.K. Sarkar, E. Arvas and S.M. Rao, Application of the FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies, IEEE Trans. Antennas Propagat.
, 635–640 (1986).CrossRefGoogle Scholar
Yuan Zhuang, Ke-Li Wu, Chen Wu, J. Litva, A combined full-wave CGFFT method for rigorous analysis of large microstrip antenna arrays, IEEE Trans. Antennas Propagat.
, 102–109 (1996).CrossRefGoogle Scholar
J. Basterrechea and M.F. Catedra, Computatation of microstrip S-parameter using a CG-FFT scheme, IEEE Trans. Microwave Theory Tech.
, 234–240 (1994).CrossRefGoogle Scholar
A.G. Tijhuis, Z.Q. Peng and A. Rubio Bretones, Transient excitation of a straight thin wire segment: a new look at an old problem, IEEE Trans. Antennas Propagat.
, 1132–1146 (1992).CrossRefGoogle Scholar
A.G. Tijhuis and Z.Q. Peng, Marching-on-in-fequency method for solving integral equations in transient electromagnetic scattering, IEE Proc. H
, 347–355 (1991).Google Scholar
Z.Q. Peng and A.G. Tijhuis, “Transient scattering by a lossy dielectric cylinder: marching-on-in-frequency approach, J. Electromagn. Waves Applicat.
, 739–763 (1993).CrossRefGoogle Scholar
A.P.M. Zwamborn and P.M. van den Berg, The weak form of the conjugate gradient method for plate problems, IEEE Trans. Antennas Propagat.
, 224–228 (1991).CrossRefGoogle Scholar
J. Ureel and D. De Zutter, Shape sensitivities of capacitances of planar conducting surfaces using the method of moments, IEEE Trans. Microwave Theory Tech.
, 198–207 (1996).CrossRefGoogle Scholar
J. Ureel and D. De Zutter, A new method for obtaining shape sensitivities of planar microstrip structures by a full-wave analysis, IEEE Trans. Microwave Theory Tech.
249–260 (1996).CrossRefGoogle Scholar
A.P.M. Zwamborn, and P.M. van den Berg, The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems, IEEE Trans. Microwave Theory Tech.
, 1757–1766 (1992).CrossRefGoogle Scholar
A.P.M. Zwamborn, and P.M. van den Berg, Computation of electromagnetic fields inside strongly inhomo-geneous objects by the weak conjugate gradient FFT method, JOSA A
, 1414–1421 (1994).CrossRefGoogle Scholar
E.S.A.M. Lepelaars, Electromagnetic pulse distortion in living tissue, Med. Biol. Eng. Comput.
, 213–220 (1996).CrossRefGoogle Scholar
© Springer Science+Business Media New York 2003