The interferential integral method (review)

Effects of Strong Regular Refraction in the Solar Radio Pulse Structure in Spike Events

“…Within the considered approximation, random inhomogeneities do not influence the amplitude of a partial wave A, therefore, the amplitude can be determined by solving the transport equation (Avdeev et al, 1988):…”

“…We infer the function within the interference integral approximation (Avdeev et al, 1988;Tinin et al, 1992). According to this method, the wave fieldũ at any given point r can be represented as an integral over partial waves:…”

“…The various integral representations, obtained by the Maslov (Lukin and Palkin, 1982), Kirchhoff (Barabanenkov et al, 1970) and interference integral (Orlov, 1974;Avdeev et al, 1988;Tinin et al, 1992) methods can be used as generalizations of the geometrical optics method that describe correctly the interference and focusing of fields in the region of random caustics and multipathing. These methods are convenient to use in statistical problems because of the simplicity of the expression under the integral sign thus allowing integral representations to be obtained for field moments.…”

Actualization of Virtual Fields in Wave Problems

“…al. within the framework of the virtual ray technique [6,7] and by J. M. Arnold [8]. The technique of interference integrals is briefly reviewed in [9,10].…”

“…In this case the accuracy of positioning the measuring probe should be rather high. The inner integral on the right-hand side of (8) is a fairly sharp function of the difference Indeed, at a = the exponential index is zero, so that For a # P, the fast-oscillating factor exp[iS(r, a) -iS(r, Q)] causes a rapid decreasing of the magnitude of integral (9).…”