Wave Equation Solution for Electromagnetic Field Incident on Planar Conducting Arrays

Abstract

A new wave equation solution is presented for analyzing planar periodic patch or aperture arrays having complex conductivity with an arbitrary distribution. The approach extends prior developments in photonic band-gap theory by including the conductivity mechanism. The wave equation is written in the form Schrodinger's equation. Solutions are obtained in the spectral domain for the radiated field in terms of a summation of plane waves. The method provides valuable physical insights not readily obtainable using conventional solutions for periodic arrays. Incident and radiated fields are related in a single mathematical expression. This expression shows how each radiated field mode is coupled to the others via mutual capacitive and inductive terms. The theory may be readily extended to multiple layers.

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Document Details

Document Type
Technical Report
Publication Date
Jun 10, 1999
Accession Number
ADA364920

Entities

People

  • Peter Loschialpo

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Advanced Electronics

DTIC Thesaurus Topics

  • Band Gaps
  • Band Theory Of Solids
  • Circuit Boards
  • Conductivity
  • Current Density
  • Electric Fields
  • Electromagnetic Fields
  • Energy Bands
  • Equations
  • Frequency
  • Military Research
  • Plane Waves
  • Printed Circuits
  • Scattering
  • Two Dimensional
  • Wave Equations
  • Waves

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.