Electromagnetic Fields of Hertzian Dipoles in Layered Media of Moderate Thickness Including the Effects of All Modes

Fast numerical methods are developed to compute the electromagnetic fields of Hertzian dipole of layered media (layered medium Green's function) of moderate thickness for the entire distance range. The method consists of using a fast all modes (FAM) method of determining all mode locations in t...

Full description

Saved in:
Bibliographic Details
Published in:IEEE antennas and wireless propagation letters 2007, Vol.6, p.316-319
Main Authors: Tsang, Leung, Wu, Boping
Format: Article
Language:English
Subjects:
Central processing units
Conductors
Dielectrics
Electromagnetic fields
Extraction
FAM
Green's function
improper modes
layered media
leaky wave modes
Mathematical models
Matlab
Media
Nonhomogeneous media
Permittivity
Planes
Poles
Studies
Surface waves
Wavelengths
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Fast numerical methods are developed to compute the electromagnetic fields of Hertzian dipole of layered media (layered medium Green's function) of moderate thickness for the entire distance range. The method consists of using a fast all modes (FAM) method of determining all mode locations in the complex plane. The modes include surface wave modes, leaky wave modes, and improper modes. For the case of layer thickness of one wavelength, it requires only 0.12 CPU seconds as preprocessing to determine 400 mode locations accurately in the complex plane using a Pentium IV 3.2 GHz PC with Matlab. The mode locations are required only to be computed once. The numerical modified steepest descent method (NMSP) is then used to compute the steepest descent integral with all the pole proximities extracted and accounted for by using incomplete error functions. With the extraction of the poles, the NMSP requires no more than six quadrature points to compute fields at distances larger than 0.02 wavelength. The CPU per distance point based on the FAM/NMSP method is less than 3 ms for all distance ranges. The accuracy of the method has been confirmed to within 0.2% from the benchmark calculations of the half-space extraction method.
ISSN:1536-1225
1548-5757
DOI:10.1109/LAWP.2007.899917