From Random Fringes to Deterministic Response: Statistical Foundations of Time-Reversed Young Interferometry
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866908994288746496 |
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| author | Wen, Jianming |
| author_facet | Wen, Jianming |
| contents | Young interference is usually read as the gradual statistical accumulation of random detection events. Here we show that a time-reversed Young (TRY) geometry has a different statistical character: the fringe is not a marginal distribution of detector positions, but a conditional response indexed by a programmed source coordinate. With a fixed detector and a scanned source basis, the observable is an operational hybrid correlator between detector signal and source label. The resulting interference is deterministic at the response-function level, while noise enters only through estimation precision. We formulate this distinction using Fisher information, estimator variance, and noise scaling, clarifying why TRY naturally supports calibration, lock-in readout, null-fringe sensing, and source-plane superresolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_23797 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | From Random Fringes to Deterministic Response: Statistical Foundations of Time-Reversed Young Interferometry Wen, Jianming Optics Applied Physics Quantum Physics Other Statistics Young interference is usually read as the gradual statistical accumulation of random detection events. Here we show that a time-reversed Young (TRY) geometry has a different statistical character: the fringe is not a marginal distribution of detector positions, but a conditional response indexed by a programmed source coordinate. With a fixed detector and a scanned source basis, the observable is an operational hybrid correlator between detector signal and source label. The resulting interference is deterministic at the response-function level, while noise enters only through estimation precision. We formulate this distinction using Fisher information, estimator variance, and noise scaling, clarifying why TRY naturally supports calibration, lock-in readout, null-fringe sensing, and source-plane superresolution. |
| title | From Random Fringes to Deterministic Response: Statistical Foundations of Time-Reversed Young Interferometry |
| topic | Optics Applied Physics Quantum Physics Other Statistics |
| url | https://arxiv.org/abs/2604.23797 |