Title :
Extension of the method of auxiliary sources for the eigenvalue problem of the Laplace operator in case of space periodic boundaries
Author :
Kakulia, D. ; Ghoghoberidze, V. ; Ghvedashvili, G.
Author_Institution :
Fac. of Exact & Natural Sci., Tbilisi State Univ. Tbilisi, Tbilisi, Georgia
Abstract :
This paper describes the Method of Auxiliary Sources (MAS) and its application to eigenvalue problem of Laplace operator in case of periodic boundaries. The MAS is extended by applying appropriate Green function. The extended MAS presents an alternative approach for solving quantum billiard problems in case arbitrary shaped periodic boundaries.
Keywords :
Green´s function methods; Laplace equations; eigenvalues and eigenfunctions; Green function; Laplace operator; MAS; arbitrary shaped periodic boundaries; eigenvalue problem; method of auxiliary sources; quantum billiard problems; space periodic boundaries; Boundary conditions; Eigenvalues and eigenfunctions; Electromagnetics; Equations; Green´s function methods; Laplace equations; Periodic structures; Eigenvalues; MAS; Quantum Billiard;
Conference_Titel :
Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2014 XIXth International Seminar/Workshop on
Conference_Location :
Tbilisi
Print_ISBN :
978-1-4799-6213-6
DOI :
10.1109/DIPED.2014.6958339
