Unit:
Κατεύθυνση Εφαρμοσμένα ΜαθηματικάLibrary of the School of Science
Author:
Ζώη Στεφανία-Μαρία
Supervisors info:
Κόττα-Αθανασιάδου Ευαγγελία Λέκτορας ΕΚΠΑ (επιβλέπουσα), Μπαρμπάτης Γεράσιμος Αν. Καθηγητής ΕΚΠΑ, Στρατής Ιωάννης Καθηγητής ΕΚΠΑ
Original Title:
Η βαθμωτή και διανυσματική εξίσωση Helmholtz
Translated title:
The scalar and vector Helmholtz equation
Summary:
The main subject of this study is the Helmholtz equation in scalar and vector
form. The purpose is to show the application of this equation to the acoustic,
electromagnetic and elastic waves with harmonic time dependence. In the first
case the acoustic scattering problems are described by the scalar Helmholtz
equation, while in the two other cases the vector Helmholtz equation appears in
the electromagnetic and elastic scattering problems. Emphasis is placed on
studying the properties of the scalar Helmholtz equation and their use in
solving problems of acoustic wave scattering.
Keywords:
Helmholtz equation, Scattering, Acoustic waves, Electromagnetic waves, Elastic waves
Number of pages:
xii, 105
