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.
Entropic Reciprocity in Time-Reversed Young Interferometry
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abstract
We show that time-reversed Young interferometry reorganizes, rather than reverses, optical entropy. A fixed detector conditions the reciprocal source--detector Green function and produces a source-label probability distribution. Marginal entropies in the standard and time-reversed geometries are generally unequal; the reciprocal invariant is instead the mutual information between source and detector coordinates. Near a destructive response, the conditioned source-label entropy can decrease while Fisher information for small phase, tilt, or defocus perturbations increases. The result identifies time-reversed Young interferometry as a source-space information processor with no analogue in ordinary detector-plane fringe readout.
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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.