Two source-coded scalar channels in a time-reversed Young interferometer recover essentially all local Fisher information for tilt and defocus sensing using a fixed detector under a Fresnel double-slit model.
From Random Fringes to Deterministic Response: Statistical Foundations of Time-Reversed Young Interferometry
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abstract
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.
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Time-reversed Young interferometry acts as a source-space information processor where mutual information is the reciprocal invariant and source-label entropy can decrease near destructive interference while Fisher information rises.
In a programmable two-slit setup with scanned point source and fixed detector, source-plane nulls defined by vanishing coherent transfer amplitude yield a null-mask loss that obeys the visibility-distinguishability relation, realizing reciprocal detector-conditioned complementarity.
citing papers explorer
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Fixed-detector tilt--defocus sensing by upstream source coding in a time-reversed Young interferometer
Two source-coded scalar channels in a time-reversed Young interferometer recover essentially all local Fisher information for tilt and defocus sensing using a fixed detector under a Fresnel double-slit model.
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Entropic Reciprocity in Time-Reversed Young Interferometry
Time-reversed Young interferometry acts as a source-space information processor where mutual information is the reciprocal invariant and source-label entropy can decrease near destructive interference while Fisher information rises.
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Detector-Conditioned Source-Space Nulls and Null-Mask Loss in a Programmable Two-Slit Interferometer
In a programmable two-slit setup with scanned point source and fixed detector, source-plane nulls defined by vanishing coherent transfer amplitude yield a null-mask loss that obeys the visibility-distinguishability relation, realizing reciprocal detector-conditioned complementarity.