Tailoring on-axis spectral density with circularly coherent light beams
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arXiv
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| Format: | Preprint |
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2025
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| author | Korotkova, O. de Sande, J. C. Santarsiero, M. Martinez-Herrero, R. Piquero, G. Gori, F. |
| author_facet | Korotkova, O. de Sande, J. C. Santarsiero, M. Martinez-Herrero, R. Piquero, G. Gori, F. |
| contents | The on-axis cross-spectral density (CSD) of a beam radiated by a stationary source with a circular coherence state and a Gaussian spectral density is obtained in the closed form. It is revealed that the on-axis CSD is expressed via the Laplace transform of the source's degree of coherence or the Hilbert transform of the corresponding pseudo-mode weighting function. Such relations enable efficient tailoring of the on-axis spectral density, as we show with a slew of numerical examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Tailoring on-axis spectral density with circularly coherent light beams Korotkova, O. de Sande, J. C. Santarsiero, M. Martinez-Herrero, R. Piquero, G. Gori, F. Optics The on-axis cross-spectral density (CSD) of a beam radiated by a stationary source with a circular coherence state and a Gaussian spectral density is obtained in the closed form. It is revealed that the on-axis CSD is expressed via the Laplace transform of the source's degree of coherence or the Hilbert transform of the corresponding pseudo-mode weighting function. Such relations enable efficient tailoring of the on-axis spectral density, as we show with a slew of numerical examples. |
| title | Tailoring on-axis spectral density with circularly coherent light beams |
| topic | Optics |
| url | https://arxiv.org/abs/2501.13566 |