The Long-Time Behaviour of the Electric-Field Autocorrelation Function in a Finite Photon Gas

Authors:
Heinrich P. Baltes
Eberhard R. Hilf   Phone: +49-(0)441-798-2542   Fax: +49-(0)441-798-3201
M. Pabst

Files:
ebs.long.time.behaviour.pdf (Published)
ebs.long.time.behaviour.prep.pdf (Preprint)

Date: 19730917

Article: published in Applied Physics, Vol. 3, p. 21-29, ( 1974 )

Keywords:
Finite system; thermodynamic limit; long-tail; coherence function.

Abstract:
We investigate an autocorrelation function of a soluble three-dimensional
system, namely, the temporal coherence function of the thermal
radiation field in a cube-shaped cavity for the stochastic electrical field
E. In the thermodynamic limit, C_E(t) relaxes exponentially at intermediate
times, but a ''long-tail'' behaviour C_0(t)=At^-4 with A<0 is predominant for
long times. In the case of finite, but not too small, C_E(t) is described by an asymptotic 
expansion in powers of L^-1 in terms of generalized Riemann zeta functions.
Surface- and shape-effects enhance the long-tail. In the case of very small 
cavities, we calculate an expansion of C_E(t) in terms of exp ( -L^-1 ) 
and cosines. An oscillatory, but not strictly periodic, long-time behaviour
is observed in this case.

DC-Metatags done by WUFI 1.1
Metadata by Thomas Severiens on 14 April 1999
Supporting work done by Sandra Valeska Bergmann.