Reciprocity and Representation Theorems for Flux- and Field-Normalised Decomposed Wave Fields
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-01-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We consider wave propagation problems in which there is a preferred direction of propagation.
To account for propagation in preferred directions, the wave equation is decomposed into a set of coupled equations for waves that propagate in opposite directions along the preferred axis.
This decomposition is not unique.
We discuss flux-normalised and field-normalised decomposition in a systematic way, analyse the symmetry properties of the decomposition operators, and use these symmetry properties to derive reciprocity theorems for the decomposed wave fields, for both types of normalisation.
Based on the field-normalised reciprocity theorems, we derive representation theorems for decomposed wave fields.
In particular, we derive double- and single-sided Kirchhoff-Helmholtz integrals for forward and backward propagation of decomposed wave fields.
The single-sided Kirchhoff-Helmholtz integrals for backward propagation of field-normalised decomposed wave fields find applications in reflection imaging, accounting for multiple scattering.
American Psychological Association (APA)
Wapenaar, Kees. 2020. Reciprocity and Representation Theorems for Flux- and Field-Normalised Decomposed Wave Fields. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127581
Modern Language Association (MLA)
Wapenaar, Kees. Reciprocity and Representation Theorems for Flux- and Field-Normalised Decomposed Wave Fields. Advances in Mathematical Physics No. 2020 (2020), pp.1-15.
https://search.emarefa.net/detail/BIM-1127581
American Medical Association (AMA)
Wapenaar, Kees. Reciprocity and Representation Theorems for Flux- and Field-Normalised Decomposed Wave Fields. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-15.
https://search.emarefa.net/detail/BIM-1127581
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127581