Random-phase (non-coherent) axion or dark photon dark matter produces the same average resonant-cavity signal power as coherent dark matter, given by the standard formula with the quality factor replaced by min(Q_cavity, Q_dark matter).
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Classical Analysis of Non-Coherent Dark Matter to Photon Conversion in a Resonant Cavity
Random-phase (non-coherent) axion or dark photon dark matter produces the same average resonant-cavity signal power as coherent dark matter, given by the standard formula with the quality factor replaced by min(Q_cavity, Q_dark matter).