MATLAB Implementation of a Fourier Approach to Optical Wave Propagation

Abstract

This thesis explores a MATLAB implementation of a Fourier transform approach to model and predict transient optical wave propagation through free-space. A three-step approach is adopted in this study. First, the mathematical development establishes the importance of the total impulse response as the Green's function, meeting the boundary conditions and solving the wave equation. Second, a MATLAB program is developed to simulate the mathematical model by computing and displaying the graphical representation of an optical wave's spatial distribution on a plane at a given distance from a spatially filtered source. Third, a circular excitation function is used to verify the program and then the results of another three excitations, namely the square, circularly truncated Gaussian and circularly truncated Bessel functions are similarly generated. The effort of this thesis provides an inexpensive means to analyze a transient optical wave propagation of a spatially filtered optical source.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1998
Accession Number
ADA356153

Entities

People

  • Nicholas C. Lee

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Bessel Functions
  • Boundaries
  • Computer Programs
  • Computer Simulations
  • Computers
  • Equations
  • Frequency Response
  • Geometry
  • Laser Pulses
  • Lasers
  • Linear Systems
  • Mathematical Models
  • Three Dimensional
  • Two Dimensional
  • Wave Equations
  • Wave Propagation

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Space