Theoretical and Numerical Validation of Scaler EM Propagation Modeling Using Parabolic Equations and the Pade Rational Operator Approximation

Abstract

The problem associated with the absorbing layers had been addressed and solved. The code has been benchmarked against analytical solutions and shown to be accurate to within .01 dB. The enclosed figures show excellent agreement between the computed and exact solution over a variety of frequencies. While the transmission loss for an infinite medium is frequency independent. which is why all the solutions are identical, the construct of the absorbing layer is frequency dependent. This is why I checked a variety of input frequencies between 1 MHz and 50 MHz. The following pages contain output showing exact(analytical) solutions and 2 numerical solutions. one with the absorbing layer and one without. One can clearly see that the absorbing layer correctly dampens any energy associated with reflections from nonphysical (finite numerical domain) boundaries. Unfortunately it took most of the contract period to do so, hence none of the original objectives were accomplished. Also appended to this report is an updated user manual containing user information, as well as an interpolation and source sensitivity analysis.

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Document Details

Document Type
Technical Report
Publication Date
Oct 31, 2000
Accession Number
ADA386764

Entities

People

  • Ronald Brent

Organizations

  • University of Massachusetts Lowell

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Acoustics
  • Agreements
  • Boundaries
  • Command And Control
  • Differential Equations
  • Electromagnetic Fields
  • Equations
  • Far Field
  • Frequency
  • Losses
  • Parallel Computing
  • Reflection
  • Refractive Index
  • Three Dimensional
  • Transmission Loss
  • User Manuals
  • Wave Equations

Readers

  • Computational Modeling and Simulation
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)