Complex space-time ray method and ?quasiphotons?

Global Fourier Integral Operators and Semiclassical Asymptotics

“…Our approach is inspired by works [17] and [18], where the global parameterization of homogeneous Langrangian distributions was introduced for construction of fundamental solutions of wave equations. Oscillatory integrals with complex phases having quadratic imaginary parts were first considered in [1,2,3,8,9,16,20,25,27] in connection with the problem of propagation of Gaussian wave packets. In another development, FIO's with complex phases were studied in [22,31] in relation to the problem of propagation of singularities for pseudodifferential operators with complex symbols.…”

Gaussian beams of love waves in an anisotropic medium and their summation

“…Substituting (6) in (4) and equating to zero the coefficients with different powers of Qa, we find all looh, h >_ 0 in consecutive order. More detailed relevant calculations can be found in [4][5][6]. Suppose that Im(100) > 0.…”

“…186, pp. [6][7][8][9][10][11][12][13]1990. Original article submitted August 16, 1990. where p is a large parameter.…”

Inverse boundary spectral problem for Riemannian polyhedra

“…Their theory goes back to the pioneering works [5], [19], [40]. In our exposition we follow mainly section 2.4 of [21].…”

“…satisfies the wave equation (8) and transmission conditions (5). To this end we use the technique briefly described in section 3.1, which reduces the problem to finding boundary conditions of form (11), (12) …”