7 - Eigenfunction rules

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

Type de document :

Partie d'ouvrage

DOI :

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

Titre :

7 - Eigenfunction rules

Auteur(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]

Titre de l’ouvrage :

Photonics, Part one: photonic paths

Éditeur :

Elsevier

Date de publication :

2021

ISBN :

978-0-12-819388-4

Mot(s)-clé(s) en anglais :

Path state
Photonics
Network
Surface
Eigenfunction rules
Subsystem state
Response function

Discipline(s) HAL :

Sciences de l'ingénieur [physics]

Résumé en anglais : [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 ...
Lire la suite >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.Lire moins >

Langue :

Anglais

Audience :

Internationale

Vulgarisation :

Non

Collections :