Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon
The propagation of a partially Lorentz–Gauss beam in a uniform-intensity diffractive axicon is studied according to the Huygens–Fresnel principle, the Hermite–Gaussian expansion of a Lorentz function, and using the stationary phase method. We have derived the intensity equation of a partially cohere...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | International Journal of Optics |
| Online Access: | http://dx.doi.org/10.1155/2021/3310047 |
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| _version_ | 1832566417026711552 |
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| author | Abdu A. Alkelly Labiba F. Hassan |
| author_facet | Abdu A. Alkelly Labiba F. Hassan |
| author_sort | Abdu A. Alkelly |
| collection | DOAJ |
| description | The propagation of a partially Lorentz–Gauss beam in a uniform-intensity diffractive axicon is studied according to the Huygens–Fresnel principle, the Hermite–Gaussian expansion of a Lorentz function, and using the stationary phase method. We have derived the intensity equation of a partially coherent Lorentz-Gauss beams propagating through uniform-intensity diffractive axicon, and we proved mathematically that it is the superposition of Bessel beams of various orders after emerging from axicon, using Hermite’s function series and the Bessel function integral formulas. The results show that the intensity distribution of the diffracted beam is the intensity pattern evolved from a Lorentz–Gauss shaped spot into a Gaussian-shaped spot at any position on the focal length of the axicon, and the intensity distribution of a partially Lorentz–Gauss beam generated by an axicon becomes uniform by increasing the beam width and more uniform and constant with the larger coherence width. |
| format | Article |
| id | doaj-art-85b3fc21aa2f48fe9601cb13ffcbca5f |
| institution | Kabale University |
| issn | 1687-9392 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Optics |
| spelling | doaj-art-85b3fc21aa2f48fe9601cb13ffcbca5f2025-02-03T01:04:12ZengWileyInternational Journal of Optics1687-93922021-01-01202110.1155/2021/3310047Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the AxiconAbdu A. Alkelly0Labiba F. Hassan1Physics DepartmentPhysics DepartmentThe propagation of a partially Lorentz–Gauss beam in a uniform-intensity diffractive axicon is studied according to the Huygens–Fresnel principle, the Hermite–Gaussian expansion of a Lorentz function, and using the stationary phase method. We have derived the intensity equation of a partially coherent Lorentz-Gauss beams propagating through uniform-intensity diffractive axicon, and we proved mathematically that it is the superposition of Bessel beams of various orders after emerging from axicon, using Hermite’s function series and the Bessel function integral formulas. The results show that the intensity distribution of the diffracted beam is the intensity pattern evolved from a Lorentz–Gauss shaped spot into a Gaussian-shaped spot at any position on the focal length of the axicon, and the intensity distribution of a partially Lorentz–Gauss beam generated by an axicon becomes uniform by increasing the beam width and more uniform and constant with the larger coherence width.http://dx.doi.org/10.1155/2021/3310047 |
| spellingShingle | Abdu A. Alkelly Labiba F. Hassan Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon International Journal of Optics |
| title | Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon |
| title_full | Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon |
| title_fullStr | Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon |
| title_full_unstemmed | Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon |
| title_short | Coherence Properties and Intensity Distribution of a Partially Coherent Lorentz–Gauss Beam Emerging from the Axicon |
| title_sort | coherence properties and intensity distribution of a partially coherent lorentz gauss beam emerging from the axicon |
| url | http://dx.doi.org/10.1155/2021/3310047 |
| work_keys_str_mv | AT abduaalkelly coherencepropertiesandintensitydistributionofapartiallycoherentlorentzgaussbeamemergingfromtheaxicon AT labibafhassan coherencepropertiesandintensitydistributionofapartiallycoherentlorentzgaussbeamemergingfromtheaxicon |