On applying complex rays to calculation of scalar “Nongeometric” waves

Babich, V. M.

doi:10.1007/bf02362814

Search citation statements

Order By: Relevance

Paper Sections

Select...

Deduction Of An Explicit Expression For the Eikonal Of The S1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1995

2003

Publication Types

Select...

Article3

Book1

Relationship

Self Cite1

Independent3

Authors

Journals

Cited by 4 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It turns out that at least for small x] there exists another complex root corresponding to the S*-wave. Considerations made here have much in common with constructions from [11]. We find d in the first approximation, assuming that x0 3 is small and d is a value of the same order of smallness as x0 3.…”

Section: Deduction Of An Explicit Expression For the Eikonal Of The Smentioning

confidence: 98%

Calculation of a “nongeometric” S*-wave by using complex rays

Babich¹

1995

J Math Sci

Self Cite

View full text Add to dashboard Cite

To dear Olga Alexandrovna Ladyzhenskaya on her jubilee UDC 517.54By means of complez rays an explicit analytic expression is obtained for an S*-wave which does not satisfy the classical geometric optics of elastic waves. Bibliography: 11 titles. This paper is devoted to the deduction of an explicit analytic expression for an S*-wave which does not satisfy the classical geometric optics of elastic waves. We have succeeded in this deduction by means of the so-called complex rays. We briefly state basic features of the ray method in a complex domain (see papers [1][2][3][4][5] related to this problem). The problem admits different approaches (see [6] and the bibliography cited therein).

show abstract

Section: Deduction Of An Explicit Expression For the Eikonal Of The Smentioning

confidence: 98%