Skip to Main Content
Book Chapter

High-Frequency Analysis

January 01, 1994


1. Initial integral-Chapter Vdealswith the information on the edge-diffractedwaves that can be obtained by an asymptotic analysis of the integral IV.2(7), i.e.,

Weare going to obtain a high-frequency asymptotic representation of this integral with by using a traditional technique for a contour integral of a rapidly oscillating function (Felsen and Marcuvitz, 1973). We will deform the contour of integration to the form that allows us to obtain the asymptotic formulas by integrating over its separate particular parts. Such parts of the contour must pass through the neighborhoods of those points of the complex plane of z, which give the essential contribution in the integral, when

The asymptotic value of the integral (1) with is formed by contributions from the neighborhoods of the singular points, where the integrand loses its analytic character, and the saddle points, which are the minimax points of the modulus of the integrand. Let us consider the behavior of the integrand in the neighborhoods of the mentioned points.

You do not currently have access to this article.
Don't already have an account? Register

Figures & Tables


Society of Exploration Geophysicists Open File

Theory of Seismic Diffractions

Kamill Klem-Musatov
Kamill Klem-Musatov
Search for other works by this author on:
Franta Hron
Franta Hron
Search for other works by this author on:
Larry Lines
Larry Lines
Search for other works by this author on:
Society of Exploration Geophysicists
ISBN electronic:
Publication date:
January 01, 1994




A comprehensive resource of eBooks for researchers in the Earth Sciences

This Feature Is Available To Subscribers Only

Sign In or Create an Account

This PDF is available to Subscribers Only

View Article Abstract & Purchase Options

For full access to this pdf, sign in to an existing account, or purchase an annual subscription.

Subscribe Now