Title :
On the generalized natural waves of optical fibers
Author :
Nosich, Alexander I.
Author_Institution :
Inst. of Radiophys. & Electron., Acad. of Sci., Kharkov, Ukraine
Abstract :
Considered are the problem formulation and the analysis results of the spectrum of generalized natural waves (GNW) on optical fibers. The corresponding eigenvalue problem is formulated with the Reichardt condition at infinity in the cross-section. This enables one to study all the possible types of complex GNW. The main instruments of the analysis are the method of analytical regularization and the generalized Fredholm theorems. Discreteness of the spectrum of GNW and free-of-the-spectrum domain existence is established, on certain logarithmic Riemann surface
Keywords :
eigenvalues and eigenfunctions; optical fibre theory; Reichardt condition; complex GNW; eigenvalue problem; free-of-the-spectrum domain existence; generalized Fredholm theorems; generalized natural waves; logarithmic Riemann surface; optical fibers; problem formulation; Dielectrics; Eigenvalues and eigenfunctions; Fourier transforms; Hollow waveguides; Instruments; Optical fibers; Optical surface waves; Optical waveguide theory; Optical waveguides; Surface waves;
Conference_Titel :
Transparent Optical Networks, 1999. International Conference on
Conference_Location :
Kielce
Print_ISBN :
0-7803-5637-3
DOI :
10.1109/ICTON.1999.781843