Green's Functions for a Theoretical Model of an Aperture Fed Stacked-Patch Microstrip Antenna
Abstract
In this thesis a theoretical model for the analysis of an aperture fed stacked-patch microstrip antenna is presented. The mixed potential integral equation approach (MPIE) is used. The aperture is closed by using opposing magnetic currents on each side of the ground plane. The necessary Green's functions associated with the vector and scalar potentials are evaluated in the spatial domain using stratified media theory. The Green's functions are expressed as Sommerfeld integrals. A method of moments technique to solve for the currents of the antenna is outlined. Basis and test functions are found to use with the Green's functions in the MPIEs to form a solution matrix. No actual solutions for the currents are calculated. The Sommerfeld integrals in the Green's functions are analyzed to determine their characteristics. These characteristics include complex, oscillatory integrands; singularities; surface waves and semi-infinite integration intervals. Several numerical integration techniques to deal with these characteristics are developed. Both Fortran code and Mathematica packages written to implement these techniques are discussed. Example calculations for several of the Green's functions are accomplished. The cut-off frequencies for the surface waves are evaluated and it is shown that with a proper choice of material parameters only one surface wave mode will propagate. The Green's functions are then evaluated accurately and efficiently with sample results provided. Ideas for continued research and new applications are discussed. (KR)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1989
- Accession Number
- ADA216280
Entities
People
- James B. Nazar
Organizations
- Air Force Institute of Technology