scholarly journals Theoretical Seismograms of Core Phases Calculated by Frequency-Dependent Full Wave Theory, and Their Interpretation

1977 ◽  
Vol 51 (2) ◽  
pp. 275-312 ◽  
Author(s):  
G. L. Choy
1998 ◽  
Vol 5 (6) ◽  
pp. 2284-2290 ◽  
Author(s):  
C. N. Lashmore-Davies ◽  
V. Fuchs ◽  
R. A. Cairns

Geophysics ◽  
2009 ◽  
Vol 74 (4) ◽  
pp. S85-S93 ◽  
Author(s):  
Jun Cao ◽  
Ru-Shan Wu

Directional illumination analysis based on one-way wave equations has been studied extensively; however, its inherent limitations, e.g., one-way propagation, wide-angle error, and amplitude inaccuracy, can severely hinder its applications for accurate survey design and true-reflection imaging corrections in complex media. We have analyzed the illumination in the frequency domain using full two-way wave propagators considering the extensive computation and huge storage required for time-domain methods, and the fact that the illumination is frequency dependent. This full-wave analysis can provide frequency-dependent full-angle true-amplitude illumination not only for the downgoing waves but also for the upgoing waves, including turning waves and reflected waves. Two methods were considered to decompose the full wavefield into the local angle domain: a direct full-dimensional decomposition and more efficient split-step decomposition composed of three lower-dimensional decompositions. The results of illumination analysis demonstrated the advantages of this method. The two decomposition methods produced similar results.


1987 ◽  
Vol 30 (1) ◽  
pp. 115 ◽  
Author(s):  
Amnon Fruchtman ◽  
Kurt Riedel ◽  
H. Weitzner ◽  
D. B. Batchelor

2013 ◽  
Vol 55 (10) ◽  
pp. 105008
Author(s):  
J T Mendonça ◽  
R M O Galvão ◽  
C Amador

The propagation of radio waves through a horizontally stratified and slowly varying ionosphere is governed, in the case of oblique incidence, by a quartic equation (Booker 1938). Ray theory breaks down when two roots of this quartic are equal, for then coupling occurs between the characteristic waves, and full wave theory must be used. This paper is concerned with determining the conditions under which the two roots are equal; it is not concerned with the full wave theory. Values of the plasma frequency, and electron collision frequency, which lead to equal roots, are determined, and are exhibited in a set of curves. A full solution of the ‘Booker’ quartic is also given for a case of special interest. It is pointed out that the electric wave-field is unlikely to become very large in a slowly varying ionosphere, so that, if the ionosphere were irregular, scattering cannot be unduly enhanced by a plasma resonance.


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