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A numerically stable formulation of the Green's function parabolic equation: Subtracting the surface-wave pole
1National Center for Physical Acoustics, University of Mississippi, University, Mississippi 38677 kgilbert@olemiss.edu.
The Journal of the Acoustical Society of America
|January 26, 2015
Summary
An improved Green's function parabolic equation (GFPE) formulation enhances numerical accuracy for large surface impedances. This new method is faster and more precise for electromagnetic wave propagation modeling.
Area of Science:
- Electromagnetic theory
- Computational electromagnetics
- Wave propagation
Background:
- The original Green's function parabolic equation (GFPE) formulation exhibits numerical accuracy issues with large normalized surface impedances.
- Accurate modeling of electromagnetic wave propagation is crucial in various applications.
Purpose of the Study:
- To develop an improved GFPE formulation that addresses numerical accuracy problems associated with large surface impedances.
- To enhance the computational efficiency and accuracy of electromagnetic wave propagation simulations.
Main Methods:
- A modified GFPE formulation was developed by
- subtracting
- the surface-wave pole.
- The improved GFPE was tested for accuracy across a wide range of surface impedances.
Main Results:
- The improved GFPE demonstrates high accuracy for surface impedances spanning two orders of magnitude, including values greater than 1000.
- The new formulation eliminates the need for separate computation of the surface-wave component.
- The improved GFPE offers a slight increase in computational speed compared to the original formulation.
Conclusions:
- The improved GFPE formulation effectively resolves the numerical accuracy limitations of the original GFPE for large surface impedances.
- This enhanced method provides a more accurate and efficient tool for simulating electromagnetic wave propagation.
- The GFPE's applicability is expanded to scenarios with significantly higher surface impedances.
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