Title :
Model problem of Bragg fiber design
Author :
Popov, Alexei ; Vinogradov, Alexander ; Prokopovich, Dmitry
Author_Institution :
Pushkov Inst. of Terrestrial Magn., Ionosphere & Radio Wave Propagation, IZMIRAN, Troitsk
Abstract :
A new analytical approach to direct and inverse problems of wave propagation in periodic media is developed. By regarding the advancing wave phase as a new independent variable we construct a continuum of exact solutions of the 1D wave equation for arbitrary index profiles. This parametric solution is applied to the study of evanescent Bloch waves in forbidden zones. An explicit formula for the decay decrement is derived, giving an exact quantitative description of the parametric resonance in periodic media. The results are used for constructing optimal smooth models of multilayer dielectric mirrors and Bragg waveguide periodic claddings.
Keywords :
optical design techniques; optical fibre cladding; wave equations; Bragg fiber design; Bragg waveguide periodic claddings; arbitrary index profiles; evanescent Bloch waves; forbidden zones; multilayer dielectric mirrors; one-dimensional wave equation; parametric resonance; parametric solution; periodic media; wave propagation; Ionosphere; Nonhomogeneous media; Nonlinear equations; Optical design; Optical fiber theory; Optical propagation; Partial differential equations; Permittivity; Postal services; Resonance; 1D wave equation; Bragg fiber; optimal design; parametric resonance; periodic medium;
Conference_Titel :
Transparent Optical Networks, 2008. ICTON 2008. 10th Anniversary International Conference on
Conference_Location :
Athens
Print_ISBN :
978-1-4244-2625-6
Electronic_ISBN :
978-1-4244-2626-3
DOI :
10.1109/ICTON.2008.4598418
