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Resonator studies with the Gardner-Fresnel-Kirchhoff propagator
1Air Force Weapons Laboratory, Kirtland Air Force Base, New Mexico 87117, USA.
Optics Letters
|August 21, 2009
Summary
The Gardner-Fresnel-Kirchhoff (GFK) propagation algorithm
Area of Science:
- Optics and Photonics
- Computational Physics
Background:
- The Gardner-Fresnel-Kirchhoff (GFK) propagation algorithm offers computational efficiency for Fresnel diffraction calculations in cylindrical coordinates.
- Clear resolution requirements for the GFK algorithm are not well-defined in existing literature, hindering its optimal application.
Purpose of the Study:
- To establish the necessary resolution requirements for the accurate application of the Gardner-Fresnel-Kirchhoff propagation algorithm.
- To provide a quantitative basis for selecting appropriate parameters when using the GFK algorithm for diffraction modeling.
Main Methods:
- Calculation of eigenvalues for a simple optical resonator.
- Utilizing the Gardner-Fresnel-Kirchhoff (GFK) propagator as the core computational tool.
- Analyzing the impact of varying resolution parameters on the calculated eigenvalues.
Main Results:
- The study successfully determined specific resolution requirements for the GFK algorithm.
- Eigenvalue calculations demonstrated sensitivity to the chosen resolution, defining critical thresholds for accuracy.
Conclusions:
- This work provides the first clear guidelines on resolution requirements for the Gardner-Fresnel-Kirchhoff propagation algorithm.
- Adherence to these established requirements ensures accurate Fresnel diffraction modeling in cylindrical coordinates using the GFK method.
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