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Index Geophysics

The formulae for the calculation of the Fresnel zones or volumes

Item

Title (Dublin Core)

en-US The formulae for the calculation of the Fresnel zones or volumes

Description (Dublin Core)

en-US The symmetrized invariant formulae for the calculation of Fresnel zones or volumes are derived. It is assumed that an inhomogeneous medium with curvilinear interfaces is located between the source and/or the receiver and along the central ray within the Fresnel zone or volume. In the vicinity of the zone centre, the medium is considered locally homogeneous. The formula for the leading term of the field of a wave scattered by a bent body immersed in the above-mentioned medium is obtained by the Kirchhoff approximation. With the help of this formula and the expressions for the Fresnel radii for a particular case, the formulae for the Fresnel zones in the general case considered are obtained on the basis of the reciprocity relation. The formulae for the Fresnel zones are used to obtain the expressions for the Fresnel volumes. The physical consequences of the derived formulae with respect to the validity of the ray formulae and the resolution of seismic methods etc. are discussed.
          ARK: https://n2t.net/ark:/88439/y093067
Permalink: https://geophysicsjournal.com/article/292
 

Creator (Dublin Core)

Gelchinsky, B.

Subject (Dublin Core)

en-US Area essential for reflection (propagation)
en-US Symmetrized invariant formulae
en-US Validity conditions
en-US Resolution
en-US Theory

Publisher (Dublin Core)

en-US Journal of Geophysics

Date (Dublin Core)

1985-08-29

Type (Dublin Core)

info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
en-US Peer-reviewed Article

Format (Dublin Core)

application/pdf

Identifier (Dublin Core)

https://journal.geophysicsjournal.com/JofG/article/view/292

Source (Dublin Core)

en-US Journal of Geophysics; Vol 57 No 1 (1985): Journal of Geophysics; 33-41
2643-2986
2643-9271

Language (Dublin Core)

eng

Relation (Dublin Core)

https://journal.geophysicsjournal.com/JofG/article/view/292/249