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.

[1]  P. M. Berg,et al.  The three dimensional weak form of the conjugate gradient FFT method for solving scattering problems , 1992 .

[2]  Dominique Lesselier,et al.  Reconstruction of a 2-D binary obstacle by controlled evolution of a level-set , 1998 .

[3]  Amélie Litman,et al.  Theoretical and computational aspects of 2-D inverse profiling , 2001, IEEE Trans. Geosci. Remote. Sens..

[4]  Amelia Rubio Bretones,et al.  Transient excitation of two coupled wires over an interface between two dielectric half spaces , 1997 .

[5]  Peter M. van den Berg,et al.  Computation of electromagnetic fields inside strongly inhomogeneous objects by the weak-conjugate-gradient fast-Fourier-transform method , 1994 .

[7]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[8]  T. Sarkar,et al.  Comments on "Application of FFT and the conjugate gradient method for the solution of electromagnetic radiation from electrically large and small conducting bodies" , 1986 .

[10]  Amelia Rubio Bretones,et al.  Transient excitation of a straight thin wire segment over an interface between two dielectric half spaces , 1995 .

[11]  P. M. Berg Iterative computational techniques in scattering based upon the integrated square error criterion , 1984 .

[12]  Daniël De Zutter,et al.  A new method for obtaining the shape sensitivities of planar microstrip structures by a full-wave analysis , 1996 .

[13]  P. M. van den Berg,et al.  A weak form of the conjugate gradient FFT method for two-dimensional TE scattering problems , 1991 .

[14]  P. M. Berg Iterative Schemes Based on the Minimization of the Error in Field Problems , 1985 .

[15]  Transient excitation of a layered dielectric medium by a pulsed electric dipole , 2000 .

[16]  A. Tijhuis,et al.  Transient excitation of a straight thin-wire segment: a new look at an old problem , 1992 .

[17]  Daniël De Zutter,et al.  Shape sensitivities of capacitances of planar conducting surfaces using the method of moments , 1996 .

[18]  Anton G. Tijhuis,et al.  Transient scattering by a lossy dielectric cylinder: marching-on-in-frequency approach , 1993 .

[19]  Tapan K. Sarkar,et al.  Application of the Fast Fourier Transform and the Conjugate Gradient Method for Efficient Solution of Electromagnetic Scattering from Both Electrically Large and Small Conducting Bodies , 1985 .

[20]  A. G. Tijhuis,et al.  Marching-on-in-frequency method for solving integral equations in transient electromagnetic scattering , 1991 .

[21]  P. M. van den Berg,et al.  A weak form of the conjugate gradient FFT method for plate problems , 1991 .

[22]  A.P.M. Zwamborn,et al.  Two-dimensional inverse profiling in a complex environment , 2000 .

[23]  Gene H. Golub,et al.  Matrix computations (3rd ed.) , 1996 .

[24]  Chen Wu,et al.  A combined full-wave CG-FFT method for rigorous analysis of large microstrip antenna arrays , 1996 .