Advanced FEM analysis of optical waveguides: algorithms and applications

We discuss realization, properties and performance of the adaptive finite element approach to the design of optical waveguides. Central issues like the construction of higher-order vectorial finite elements, local error estimation, automatic and adaptive grid refinement, transparent boundary conditions and fast linear system solution by domain decomposition techniques will be discussed.

[1]  S. Burger,et al.  Advanced finite element method for nano-resonators , 2006, SPIE OPTO.

[2]  P. Russell.  Photonic Crystal Fibers , 2003, Science.

[3]  P. Russell,et al.  Photonic Crystal Fibers , 2003, Science.

[4]  Ronald H. W. Hoppe,et al.  Finite element methods for Maxwell's equations , 2005, Math. Comput..

[5]  S. Burger,et al.  JCMmode: an adaptive finite element solver for the computation of leaky modes , 2005, SPIE OPTO.

[6]  P. Berini,et al.  Plasmon-polariton modes guided by a metal film of finite width bounded by different dielectrics. , 2000, Optics express.

[7]  Frank Schmidt,et al.  Adaptive finite element method for simulation of optical nano structures , 2007, 0711.2149.

[8]  S. Burger,et al.  Goal oriented adaptive finite element method for precise simulation of optical components , 2007, SPIE OPTO.

[9]  F Benabid,et al.  Large-pitch kagome-structured hollow-core photonic crystal fiber. , 2006, Optics letters.

[10]  Matti Lassas,et al.  On the existence and convergence of the solution of PML equations , 1998, Computing.

[11]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

[12]  Frank Schmidt,et al.  Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method , 2003, SIAM J. Math. Anal..

[13]  Ronald Holzlöhner,et al.  FEM investigation of leaky modes in hollow core photonic crystal fibers , 2007, SPIE OPTO.

[14]  Frank Schmidt,et al.  A new finite element realization of the perfectly matched layer method for Helmholtz scattering problems on polygonal domains in two dimensions , 2006 .

[15]  F. Schmidt,et al.  A new Finite Element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2 D , 2022 .