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Spectral invariance of Gaussian Schell-model beams
Optics Express
|July 19, 2020
Summary
Partially coherent beams often change spectrum during propagation. This study identifies conditions for Gaussian Schell-model sources where the beam spectrum remains invariant, either everywhere or along the axis.
Area of Science:
- Optics and Photonics
- Classical Optics
- Beam Propagation
Background:
- The spectrum of light beams typically changes as they propagate.
- Understanding spectral invariance is crucial for applications in optical imaging and communication.
Purpose of the Study:
- To determine the conditions for spectral invariance of beams from Gaussian Schell-model sources.
- To investigate cases of universal spectral invariance and axial spectral invariance.
Main Methods:
- Derivation of necessary and sufficient conditions for spectral invariance.
- Analysis of Gaussian Schell-model sources, without assuming quasi-homogeneity or scaling law.
Main Results:
- Established criteria for Gaussian Schell-model sources to produce beams with invariant normalized spectra.
- Identified conditions for spectra invariant everywhere and spectra invariant only along the beam axis.
Conclusions:
- Gaussian Schell-model sources offer flexibility in controlling beam spectral properties during propagation.
- The findings provide fundamental insights into the relationship between source characteristics and spectral behavior.
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