Interpolation of the coupling-ray-theory Green function within ray cells
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10366977" target="_blank" >RIV/00216208:11320/17:10366977 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s11200-015-1091-7" target="_blank" >http://dx.doi.org/10.1007/s11200-015-1091-7</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11200-015-1091-7" target="_blank" >10.1007/s11200-015-1091-7</a>
Alternative languages
Result language
angličtina
Original language name
Interpolation of the coupling-ray-theory Green function within ray cells
Original language description
The coupling-ray-theory tensor Green function for electromagnetic waves or elastic S waves is frequency dependent, and is usually calculated for many frequencies. This frequency dependence represents no problem in calculating the Green function, but may pose a significant challenge in storing the Green function at the nodes of dense grids, typical for applications such as the Born approximation or non- linear source determination. Storing the Green function at the nodes of dense grids for too many frequencies may be impractical or even unrealistic. We have already proposed the approximation of the coupling-ray-theory tensor Green function, in the vicinity of a given prevailing frequency, by two coupling-ray-theory dyadic Green functions described by their coupling-ray-theory travel times and their coupling- ray-theory amplitudes. The above mentioned prevailing-frequency approximation of the coupling ray theory enables us to interpolate the coupling-ray-theory dyadic Green functions within ray cells, and to calculate them at the nodes of dense grids. For the interpolation within ray cells, we need to separate the pairs of prevailing- frequency coupling-ray-theory dyadic Green functions so that both the first Green function and the second Green function are continuous along rays and within ray cells. We describe the current progress in this field and outline the basic algorithms. The proposed method is equally applicable to both electromagnetic waves and elastic S waves. We demonstrate the preliminary numerical results using the coupling-ray- theory travel times of elastic S waves.
Czech name
—
Czech description
—
Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10500 - Earth and related environmental sciences
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Studia Geophysica et Geodaetica
ISSN
0039-3169
e-ISSN
—
Volume of the periodical
61
Issue of the periodical within the volume
3
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
19
Pages from-to
541-559
UT code for WoS article
000406827400008
EID of the result in the Scopus database
—