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Propagation of waves in a randomly inhomogeneous medium with strongly developed fluctuations. III. Arbitrary power-law noise correlation function

Journal Article · · Theor. Math. Phys.; (United States)
DOI:https://doi.org/10.1007/BF01016617· OSTI ID:5869207
The investigation of the infrared behavior of the propagator of a light wave in a randomly inhomogeneous medium with massless Gaussian noise is continued. The infrared representation of the propagator for correlation function D/sub /var phi//(k)/approximately/k/sup /minus/2/ is generalized to the case of an arbitrary power-law noise correlation function is rigorously established in the first two orders of the infrared asymptotic behavior by construction of a suitable R operation. As a consequence, the results are generalized to the case of critical opalescence, when D/sub /var phi//(k)/approximately/k/sup /minus/2+/eta//, where /eta/ /sup /approximately// 0.03 is the Fisher index.
Research Organization:
Leningrad State Univ., (USSR)
OSTI ID:
5869207
Journal Information:
Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 74:3; ISSN TMPHA
Country of Publication:
United States
Language:
English