Electromagnetic Multi–Gaussian Speckle
Generalizing our prior work on scalar multi-Gaussian (MG) distributed optical fields, we introduce the two-dimensional instantaneous electric-field vector whose components are jointly MG distributed. We then derive the single-point Stokes parameter probability density functions (PDFs) of MG-distribu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-01-01
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| Series: | Optics |
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| Online Access: | https://www.mdpi.com/2673-3269/3/1/3 |
| _version_ | 1797443834509000704 |
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| author | Milo W. Hyde Olga Korotkova |
| author_facet | Milo W. Hyde Olga Korotkova |
| author_sort | Milo W. Hyde |
| collection | DOAJ |
| description | Generalizing our prior work on scalar multi-Gaussian (MG) distributed optical fields, we introduce the two-dimensional instantaneous electric-field vector whose components are jointly MG distributed. We then derive the single-point Stokes parameter probability density functions (PDFs) of MG-distributed light having an arbitrary degree and state of polarization. We show, in particular, that the intensity contrast of such a field can be tuned to values smaller or larger than unity. We validate our analysis by generating an example partially polarized MG field with a specified single-point polarization matrix using two different Monte Carlo simulation methods. We then compute the joint PDFs of the instantaneous field components and the Stokes parameter PDFs from the simulated MG fields, while comparing the results of both Monte Carlo methods to the corresponding theory. Lastly, we discuss the strengths, weaknesses, and applicability of both simulation methods in generating MG fields. |
| first_indexed | 2024-03-09T13:03:48Z |
| format | Article |
| id | doaj.art-6c5fd01bebea4b3fb583ba678bb705c2 |
| institution | Directory Open Access Journal |
| issn | 2673-3269 |
| language | English |
| last_indexed | 2024-03-09T13:03:48Z |
| publishDate | 2022-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Optics |
| spelling | doaj.art-6c5fd01bebea4b3fb583ba678bb705c22023-11-30T21:51:21ZengMDPI AGOptics2673-32692022-01-0131193410.3390/opt3010003Electromagnetic Multi–Gaussian SpeckleMilo W. Hyde0Olga Korotkova1Department of Engineering Physics, Air Force Institute of Technology, 2950 Hobson Way, Dayton, OH 45433, USADepartment of Physics, University of Miami, 1320 Campo Sano Drive, Coral Gables, FL 33146, USAGeneralizing our prior work on scalar multi-Gaussian (MG) distributed optical fields, we introduce the two-dimensional instantaneous electric-field vector whose components are jointly MG distributed. We then derive the single-point Stokes parameter probability density functions (PDFs) of MG-distributed light having an arbitrary degree and state of polarization. We show, in particular, that the intensity contrast of such a field can be tuned to values smaller or larger than unity. We validate our analysis by generating an example partially polarized MG field with a specified single-point polarization matrix using two different Monte Carlo simulation methods. We then compute the joint PDFs of the instantaneous field components and the Stokes parameter PDFs from the simulated MG fields, while comparing the results of both Monte Carlo methods to the corresponding theory. Lastly, we discuss the strengths, weaknesses, and applicability of both simulation methods in generating MG fields.https://www.mdpi.com/2673-3269/3/1/3partially polarized lightrandom lightspecklestatistical optics |
| spellingShingle | Milo W. Hyde Olga Korotkova Electromagnetic Multi–Gaussian Speckle Optics partially polarized light random light speckle statistical optics |
| title | Electromagnetic Multi–Gaussian Speckle |
| title_full | Electromagnetic Multi–Gaussian Speckle |
| title_fullStr | Electromagnetic Multi–Gaussian Speckle |
| title_full_unstemmed | Electromagnetic Multi–Gaussian Speckle |
| title_short | Electromagnetic Multi–Gaussian Speckle |
| title_sort | electromagnetic multi gaussian speckle |
| topic | partially polarized light random light speckle statistical optics |
| url | https://www.mdpi.com/2673-3269/3/1/3 |
| work_keys_str_mv | AT milowhyde electromagneticmultigaussianspeckle AT olgakorotkova electromagneticmultigaussianspeckle |