Integral method for the calculation of Hawking radiation in dispersive media. I. Symmetric asymptotics.
Phys Rev E Stat Nonlin Soft Matter Phys
; 90(5-1): 053302, 2014 Nov.
Article
en En
| MEDLINE
| ID: mdl-25493899
Hawking radiation has become experimentally testable thanks to the many analog systems which mimic the effects of the event horizon on wave propagation. These systems are typically dominated by dispersion and give rise to a numerically soluble and stable ordinary differential equation only if the rest-frame dispersion relation Ω^{2}(k) is a polynomial of relatively low degree. Here we present a new method for the calculation of wave scattering in a one-dimensional medium of arbitrary dispersion. It views the wave equation as an integral equation in Fourier space, which can be solved using standard and efficient numerical techniques.
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MEDLINE
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En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Asunto de la revista:
BIOFISICA
/
FISIOLOGIA
Año:
2014
Tipo del documento:
Article
País de afiliación:
Francia
Pais de publicación:
Estados Unidos