Mie Theory for Non Spherical Particles,

Abstract

In this paper, the scattering of a plane electromagnetic wave by an irregular but cylindrically symmetric dielectric particle is solved by generalizing the original work of Mie. As in the original work, the expansion coefficients of the scattered and interior (to the dielectric particle) electric and magnetic fields are obtained by satisfying the boundary conditions. Because of the particle irregularity, the expansion coefficients are coupled and form a set of linear equations that must be solved numerically. Both the integral and differential equation approaches are equivalent in analogy to the calculation of the scattering amplitude in quantum mechanics by solving either the Schrodinger or the Lippman-Schwinger equation. Further, both approaches develop into solutions of linear algebraic equations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1978
Accession Number
ADA056435

Entities

People

  • Bruce W. Fowler

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Coefficients
  • Computers
  • Differential Equations
  • Equations
  • Experimental Data
  • Far Field
  • Forward Scattering
  • Integral Equations
  • Integrals
  • Magnetic Fields
  • New York
  • Particles
  • Radiative Transfer
  • Scattering
  • Wave Equations
  • Waves

Readers

  • Aerosol Science/Aerosol Physics
  • Mathematical Modeling and Probability Theory.
  • Plasma Physics / Magnetohydrodynamics

Technology Areas

  • Quantum Computing