Title :
Finding resonance poles by means of Cauchy integrals
Author_Institution :
Lab. Charles Coulomb, Univ. de Montpellier 2, Montpellier, France
Abstract :
Guided modes in photonic structures are characterized by a propagation constant that is a root of pole of some operator. It is shown that the operatorial calculus of Dunford and Schwartz, i.e. the extension of Cauchy integrals to operators, provides a mean for the numerical computation of dispersion curves. The theory is developed and then applied in the case of a microstructured fibre.
Keywords :
calculus; holey fibres; integral equations; optical dispersion; photonic band gap; Dunford; Schwartz; cauchy integrals; dispersion curves; guided modes; microstructured fibre; numerical computation; operatorial calculus; photonic structures; propagation constant; resonance poles; Convergence; Eigenvalues and eigenfunctions; Photonic crystal fibers; Photonics; Presses; Propagation constant; Scattering; Cauchy integrals; analytic functions; guided modes; microstructured fibres; numerical analysis; polology;
Conference_Titel :
Transparent Optical Networks (ICTON), 2011 13th International Conference on
Conference_Location :
Stockholm
Print_ISBN :
978-1-4577-0881-7
Electronic_ISBN :
2161-2056
DOI :
10.1109/ICTON.2011.5971082
