Semi-analytical time-domain low-frequency scattering formulation for biological applications
✍ Scribed by Il-Suek Koh; Woo-Tae Kim; Jong-Gwan Yook; Jae-Chon Park
- Publisher
- John Wiley and Sons
- Year
- 2006
- Tongue
- English
- Weight
- 553 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.633
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✦ Synopsis
Abstract
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.