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MODIFICATION OF THE EXTENDED BOUNDARY CONDITION METHOD FOR MODELS OF MAN AT AND ABOVE THE RESONANT FREQUENCY

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Researchers developed a FORTRAN program for inversion of ill-conditioned complex matrices that appeared significantly more stable than standard matrix inversion procedures.

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The extended-boundary-condition method (EBCM) has been used with prolate spheroid models of man and animals to generate much of the theoretical data used in the current dosimetry handbook. When large a/b ratios (typical of man) or large magnitude permittivities are used with the EBCM, the matrix becomes ill-conditioned, thus disallowing calculations above a certain maximum frequency. Researchers followed the algorithm of Golub and Reinsch to develop a FORTRAN program for inversion of ill-conditioned complex matrices, which appeared significantly more stable than standard matrix inversion procedures.

Why This Matters

Solutions for prolate spheroidal man models are restricted to frequencies somewhat below whole-body resonance, and an earlier attempt to solve the problem of ill-conditioning was not completely successful. The standard mathematical procedure for inverting an ill-conditioned matrix is singular value decomposition, such as with Householder transformations. The researchers planned to present results showing how much of an extension in frequency range is allowed for dosimetry calculations with man and animals. They also aimed to present a description of a Meta-EBCM method especially suitable for use with models of man at and above the resonant frequency.

Cite This Study
Unknown (n.d.). MODIFICATION OF THE EXTENDED BOUNDARY CONDITION METHOD FOR MODELS OF MAN AT AND ABOVE THE RESONANT FREQUENCY.
Show BibTeX
@article{modification_of_the_extended_boundary_condition_method_for_models_of_man_at_and__g5477,
  author = {Unknown},
  title = {MODIFICATION OF THE EXTENDED BOUNDARY CONDITION METHOD FOR MODELS OF MAN AT AND ABOVE THE RESONANT FREQUENCY},
  year = {n.d.},
  
  
}
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Quick Questions About This Study

When large a/b ratios (typical of man) or large magnitude permittivities are used with the EBCM, the matrix becomes ill-conditioned, thus disallowing calculations above a certain maximum frequency.
They followed the algorithm of Golub and Reinsch to develop a FORTRAN program for inversion of ill-conditioned complex matrices.
The routine appeared to be significantly more stable than standard matrix inversion procedures.
Householder transformations serve to transform the matrix for solution relative to a new basis having improved conditioning.
The Meta-EBCM method was described as especially suitable for use with models of man at and above the resonant frequency.