Modal Analysis of Pseudo-Schell Model Sources

All pseudo-Schell model sources have been shown to possess the same continuous set of circularly symmetric modes, all of them presenting a conical wavefront. For keeping energy at a finite level, the mode amplitude along the radial coordinate is modulated by a decreasing exponential function. A pecu...

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Bibliographic Details
Published inPhotonics Vol. 8; no. 10; p. 449
Main Authors Santarsiero, Massimo, Martínez-Herrero, Rosario, Piquero, Gemma, de Sande, Juan Carlos González, Gori, Franco
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.10.2021
Subjects
coherence
Exponential functions
far field
Fourier transforms
Hypotheses
Laplace transforms
Modal analysis
modes
near field
Propagation
Wave fronts
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Summary:All pseudo-Schell model sources have been shown to possess the same continuous set of circularly symmetric modes, all of them presenting a conical wavefront. For keeping energy at a finite level, the mode amplitude along the radial coordinate is modulated by a decreasing exponential function. A peculiar property of such modes is that they exist in the Laplace transform’s realm. After a brief discussion of the near-zone, we pass to the far-zone, where the field can be evaluated in closed form. The corresponding features of the intensity distribution are discussed.
ISSN:2304-6732
2304-6732
DOI:10.3390/photonics8100449