Study of Sommerfeld and Phase-Integral Approaches for Green's Functions for PEC-terminated Inhomogeneous Media
Abstract
In this report, radiation of sources inside layered media backed by a perfect electric conductor were studied. This problem has practical applications to antennas embedded inside composite material media for many applications. The traditional real-axis integration method was employed with a new formulation for calculating the Sommerfeld integral tail. This new method contains effects of the intrinsic wavenumber of the layer and hence appears physically more suitable for understanding effects of the various layers when the observation point moves in a vertical direction from one layer to the other. In addition, a new algorithm was developed to calculate the proper surface wave poles for electrically thick substrates. The discontinuities in the integrand of the Sommerfeld integral were eliminated upon subtraction of the residues at these poles, and subsequent numerical integration posed no difficulties. Additionally, the problem of stratified media was studied via the phase-integral method. It has been shown that the phase-integral method, with its attendant asymptotic expansions, has the potential for providing much improved solutions to the Green's functions for continuously stratified media by including effects across the Stokes lines.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 08, 2010
- Accession Number
- ADA514711
Entities
People
- Deb Chatterjee
- Shaun D. Walker
Organizations
- United States Naval Research Laboratory