Hybrid numerical calculation method for bend waveguides
Conference object
English
OPEN
Garnier , Lucas
;
Saavedra , C.
;
CastroBeltran , Rigoberto
;
Lucio , José Luis
;
Bêche , Bruno
(2017)
 Publisher: HAL CCSD

Subject:
Conformal transformations  [ MATH.MATHCV ] Mathematics [math]/Complex Variables [math.CV]  [ PHYS.PHYS.PHYSCOMPPH ] Physics [physics]/Physics [physics]/Computational Physics [physics.compph]  Multilayer matrix formalism  [ SPI.OPTI ] Engineering Sciences [physics]/Optics / Photonic  [ PHYS ] Physics [physics]  eigenvalues and vectors
National audience; The knowledge of how the light will behave in a waveguide with a radius of curvature becomes more and more important because of the development of integrated photonics, which include ring microresonators, phasars, and other devices with a radius of curvature. This work presents a numerical calculation method to determine the eigenvalues and eigenvectors of curved waveguides. This method is a hybrid method which uses at first conform transformation of the complex plane generating a new and modified index profile that represent the curvature. Then, on this modified index profile, we use a matrix multilayer formalism; we divide the profile in virtual layers of various indices to calculate both the propagation constants (eigenvalues) and the optical field (eigenvectors) into each of such virtual layers.