ClickOptics

Phase 5b: threshold-detector and delay-interferometer closed forms

5/5 passed in 1ms

Test	What it does	Result
test_rejects_nonsense	Efficiency, dark probability, visibility and interferometer delay are each refused by name.	✅ pass
test_stencil_flux	One slot's ports sum to half the two pulses' photons at any visibility or phase, where the /sqrt(2) two-mode form would double every count rate.	✅ pass
test_stencil_overflow	interfere raises once $|\alpha {|}^2/4$ leaves f64 range rather than return an (inf, nan) that NaN comparisons would hide, while click_prob saturates.	✅ pass
test_stencil_ports	In-phase pulses fill the constructive port and anti-phase the destructive one.	✅ pass
test_stencil_visibility	Imperfect contrast scales the interference term alone, so an in-phase slot reproduces $V=(I_{max}-I_{min})/(I_{max}+I_{min})$.	✅ pass