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Semi‐analytical time‐domain low‐frequency scattering formulation for biological applications
Author(s) -
Koh IlSuek,
Kim WooTae,
Yook JongGwan,
Park JaeChon
Publication year - 2006
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.633
Subject(s) - scattering , discretization , rayleigh scattering , human head , physics , dielectric , time domain , mie scattering , mathematical analysis , frequency domain , born approximation , optics , low frequency , plane wave , frequency band , head (geology) , computational physics , mathematics , light scattering , computer science , quantum mechanics , telecommunications , bandwidth (computing) , astronomy , geomorphology , absorption (acoustics) , computer vision , geology
In this paper, an efficient time domain formulation is proposed for a low‐frequency scattering by a complicated inhomogeneous dielectric scatterer. The formulation is based on the Born approximation and a sampling theorem. To extend the valid region of the proposed solution, the Rayleigh scattering formulation for a small dielectric object is used to modify the Born current inside the scatterer. In order to verify the obtained formulation, scatterings by several canonical objects such as a cubic box and a sphere are compared, which are calculated by the proposed formulation and the known exact or approximate solutions of a Mie series and the Rayleigh scattering. In addition, scattering by a human head is investigated at a very low‐frequency band (< 100 Hz). For the simulation, two excitations are considered: plane wave incidence from outside the head and an artificial point source located inside the head. The head model is discretized by a 3 × 3 × 3 mm 3 cubic box, which is comprised of eight types of tissue. These are blood, bone, fat, grey matter, white matter, muscle, skin and vitreous humor. Copyright © 2006 John Wiley & Sons, Ltd.