TY - JOUR
T1 - Modal theory for the two-frequency mutual coherence function in random media
T2 - General theory and plane wave solution: II
AU - Oz, Jasmin
AU - Heyman, Ehud
N1 - Funding Information:
This work is supported by the US–Israel Binational Science Foundation, Jerusalem, Israel, under grant no 92-00273. EH would also like to acknowledge partial support by the US Air Force Office for Scientific Research under grant no F49620-93-1-0093. The authors would like to thank Dr Boris Gisin for performing the numerical calculations for the eigenvalues.
PY - 1997/1
Y1 - 1997/1
N2 - In a previous publication (part I) it has been shown that for an arbitrary statistically isotropic and homogeneous medium the parabolic equation for the two-frequency mutual coherence function can be separated and thereby expressed as a superposition of modes. A parameterization based on the longitudinal part of this representation has also been treated. This paper explores the transverse structure and parameterization of the field solution by employing dimensional, variational and the modified WKB procedures for solving the eigenfunction/eigenvalue problem. General expressions are derived first for a general structure function and then specialized for a power-law structure function with emphasis on quadratic and Kolmogorov media.
AB - In a previous publication (part I) it has been shown that for an arbitrary statistically isotropic and homogeneous medium the parabolic equation for the two-frequency mutual coherence function can be separated and thereby expressed as a superposition of modes. A parameterization based on the longitudinal part of this representation has also been treated. This paper explores the transverse structure and parameterization of the field solution by employing dimensional, variational and the modified WKB procedures for solving the eigenfunction/eigenvalue problem. General expressions are derived first for a general structure function and then specialized for a power-law structure function with emphasis on quadratic and Kolmogorov media.
UR - http://www.scopus.com/inward/record.url?scp=0030732298&partnerID=8YFLogxK
U2 - 10.1088/0959-7174/7/1/006
DO - 10.1088/0959-7174/7/1/006
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AN - SCOPUS:0030732298
SN - 0959-7174
VL - 7
SP - 95
EP - 106
JO - Waves in Random and Complex Media
JF - Waves in Random and Complex Media
IS - 1
ER -