Closed-form analogue Hawking temperatures are derived for power-law velocity profiles in dispersive sonic and optical media, with numerical verification.
(A.6) This function has a simple pole in k = 0, by Cauchy’s integral theorem we can integrate ℏω kBT =−4πωavg(0) u2 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.