Semi-analytical time-domain low-frequency scattering formulation for biological applications

Il Suek Koh, Woo Tae Kim, Jong Gwan Yook, Jae Chon Park

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)93-108
Number of pages16
JournalInternational Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume20
Issue number1-2
DOIs
Publication statusPublished - 2007 Jan 1

Fingerprint

Low Frequency
Time Domain
Rayleigh scattering
Scattering
Formulation
Born approximation
Rayleigh
Oils and fats
Frequency bands
Muscle
Skin
Bone
Blood
Sampling Theorem
Born Approximation
Tissue
Sampling
Point Source
Plane Wave
Incidence

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

Cite this

@article{4bf1d3e05f93476084825e0602f327b3,
title = "Semi-analytical time-domain low-frequency scattering formulation for biological applications",
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.",
author = "Koh, {Il Suek} and Kim, {Woo Tae} and Yook, {Jong Gwan} and Park, {Jae Chon}",
year = "2007",
month = "1",
day = "1",
doi = "10.1002/jnm.633",
language = "English",
volume = "20",
pages = "93--108",
journal = "International Journal of Numerical Modelling: Electronic Networks, Devices and Fields",
issn = "0894-3370",
publisher = "John Wiley and Sons Ltd",
number = "1-2",

}

Semi-analytical time-domain low-frequency scattering formulation for biological applications. / Koh, Il Suek; Kim, Woo Tae; Yook, Jong Gwan; Park, Jae Chon.

In: International Journal of Numerical Modelling: Electronic Networks, Devices and Fields, Vol. 20, No. 1-2, 01.01.2007, p. 93-108.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Semi-analytical time-domain low-frequency scattering formulation for biological applications

AU - Koh, Il Suek

AU - Kim, Woo Tae

AU - Yook, Jong Gwan

AU - Park, Jae Chon

PY - 2007/1/1

Y1 - 2007/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=33947589833&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33947589833&partnerID=8YFLogxK

U2 - 10.1002/jnm.633

DO - 10.1002/jnm.633

M3 - Article

AN - SCOPUS:33947589833

VL - 20

SP - 93

EP - 108

JO - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

JF - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

SN - 0894-3370

IS - 1-2

ER -