Fock's asymptotics in the problem of diffraction by moving smooth contour
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 21, Tome 195 (1991), pp. 69-81
M. A. Lyalinov. Fock's asymptotics in the problem of diffraction by moving smooth contour. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 21, Tome 195 (1991), pp. 69-81. http://geodesic.mathdoc.fr/item/ZNSL_1991_195_a8/
@article{ZNSL_1991_195_a8,
     author = {M. A. Lyalinov},
     title = {Fock's asymptotics in the problem of diffraction by moving smooth contour},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {69--81},
     year = {1991},
     volume = {195},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_195_a8/}
}
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The main term of asymptotic solution in Fock's region for moving scatterer is discussed. The solution is expressed by means of the wellknown Fock's integrals and depends upon geometric and kinematic characteristics of a moving contour. The formula for effective radius of curvature for a moving contour is computed and discussed.