Closed-form analogue Hawking temperatures are derived for power-law velocity profiles in dispersive sonic and optical media, with numerical verification.
(A.12) This function has a simple pole in k = 0, by Cauchy’s integral theorem we have ℏω kBT =−6πωav2 g(0) u3 0 ( 1 +ωv′ g(0) 2v2g(0) )
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Hawking temperature in dispersive media: Analytical and numerical study
Closed-form analogue Hawking temperatures are derived for power-law velocity profiles in dispersive sonic and optical media, with numerical verification.