Super resolving binary-source hypothesis testing with a double-clad fiber coupler
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866916998107103232 |
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| author | Wallis, John S. Gozzard, David R. Frost, Alex M. Dix-Matthews, Benjamin P. Maron, Nicolas Collier, Joshua J. |
| author_facet | Wallis, John S. Gozzard, David R. Frost, Alex M. Dix-Matthews, Benjamin P. Maron, Nicolas Collier, Joshua J. |
| contents | We present a technique for binary spatial mode demultiplexing, using a double-clad fiber coupler as an optical mode sorter, for hypothesis testing for one or two point sources in an incident optical field. By directly coupling an optical field through a double-clad fiber coupler, we demultiplex the field into the fundamental mode and a superposition of higher-order modes. We use the ratio of multi-mode to single-mode power to distinguish between single and double point sources. In a tabletop demonstration of the technique, we demonstrate the capability to accurately identify the presence of two sources separated below the Rayleigh limit for relative brightnesses from 0 dB to -20 dB. For sources with less than 5 dB difference in their relative powers, our imaging protocol can correctly determine the presence of a second optical source even when the two sources have separations 50x smaller than the Rayleigh limit. These results highlight the potential of this technique as a simple tool for super-resolving classification of a pair of point emitters, especially in the context of astronomical imaging for binary systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07781 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Super resolving binary-source hypothesis testing with a double-clad fiber coupler Wallis, John S. Gozzard, David R. Frost, Alex M. Dix-Matthews, Benjamin P. Maron, Nicolas Collier, Joshua J. Optics We present a technique for binary spatial mode demultiplexing, using a double-clad fiber coupler as an optical mode sorter, for hypothesis testing for one or two point sources in an incident optical field. By directly coupling an optical field through a double-clad fiber coupler, we demultiplex the field into the fundamental mode and a superposition of higher-order modes. We use the ratio of multi-mode to single-mode power to distinguish between single and double point sources. In a tabletop demonstration of the technique, we demonstrate the capability to accurately identify the presence of two sources separated below the Rayleigh limit for relative brightnesses from 0 dB to -20 dB. For sources with less than 5 dB difference in their relative powers, our imaging protocol can correctly determine the presence of a second optical source even when the two sources have separations 50x smaller than the Rayleigh limit. These results highlight the potential of this technique as a simple tool for super-resolving classification of a pair of point emitters, especially in the context of astronomical imaging for binary systems. |
| title | Super resolving binary-source hypothesis testing with a double-clad fiber coupler |
| topic | Optics |
| url | https://arxiv.org/abs/2510.07781 |