7 - Eigenfunction rules

Dobrzynski, Leonard; Al Wahsh, Housni; Akjouj, Abdellatif; El Boudouti, El Houssaine

Document type :

Partie d'ouvrage

DOI :

10.1016/B978-0-12-819388-4.00016-2

Title :

7 - Eigenfunction rules

Author(s) :

Dobrzynski, Leonard [Auteur]

Physique - IEMN [PHYSIQUE - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
Al Wahsh, Housni [Auteur]
Benha University [BU]
Akjouj, Abdellatif [Auteur]

Physique - IEMN [PHYSIQUE - IEMN]
Institut d’Électronique, de Microélectronique et de Nanotechnologie - UMR 8520 [IEMN]
El Boudouti, El Houssaine [Auteur]

Book title :

Photonics, Part one: photonic paths

Publisher :

Elsevier

Publication date :

2021

ISBN :

978-0-12-819388-4

English keyword(s) :

Path state
Photonics
Network
Surface
Eigenfunction rules
Subsystem state
Response function

HAL domain(s) :

Sciences de l'ingénieur [physics]

English abstract : [en]

It is well known that eigenfunctions have to be continuous at each space point of the structure in which they are localized. This is not the only rule they have to fulfill. Rules involving eigenfunction derivatives are ...
Show more >It is well known that eigenfunctions have to be continuous at each space point of the structure in which they are localized. This is not the only rule they have to fulfill. Rules involving eigenfunction derivatives are also used in the bulk and at the boundary of all physical systems. The aim of this section is to try and reach a general formulation of the eigenfunction rules. At each space point of this network, it is found that the eigenfunctions are continuous and the sum of their outgoing first derivatives is equal to zero. These rules fix the values of the discrete eigenvalues.Show less >

Language :

Anglais

Audience :

Internationale

Popular science :

Non

Collections :