Deriving real delay time statistics from the complex delay time statistics in weakly disordered optical media
Abstract
Considering the complex reflection amplitude R=Rexp(i{\theta}) of a light wave, real delay time {\tau}_r (i.e., sojourn or Wigner delay time), which is the energy derivative of the real phase ({\tau}_r =d{\theta}/cdk), and complex delay time {\tau}_i , which is the energy derivative of the reflection coefficient ({\tau}_i=d{\theta}_i/cdk, R=r^1/2=exp({\theta}_i)), have the same statistical form and a mirror image with a shift in time in weak disorder and short length regime. Real delay time statistics obtained from the reflection coefficient can be attributed to the strong correlation between the reflection coefficient and its phase in this regime.
 Publication:

arXiv eprints
 Pub Date:
 December 2016
 DOI:
 10.48550/arXiv.1701.00080
 arXiv:
 arXiv:1701.00080
 Bibcode:
 2017arXiv170100080P
 Keywords:

 Physics  Optics
 EPrint:
 8 pages, 4 figures