JCMmode: An adaptive finite element solver for the computation of leaky modes

Progress in Biomedical Optics and Imaging - Proceedings of SPIE

Volumn 5728, Issue , 2005, Pages 192-202

  Zschiedrich, Lin ^a,b   Burger, Sven ^a,b   Klose, Roland ^a   Schädle, Achim ^a   Schmidt, Frank ^a,b  

^a ZUSE INSTITUTE BERLIN   (Germany)

^b JCMWAVE GMBH   (Germany)

Author keywords

Arrow Waveguide; Finite Element Method; Leaky Modes; Nano Optics; Plasmon Polariton Modes; PML; Pole Condition

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; LEAKAGE (FLUID); POLES; PROBLEM SOLVING; SURFACE PLASMON RESONANCE; TIME DOMAIN ANALYSIS;

ARROW WAVEGUIDES; LEAKY MODES; NANO-OPTICS; PLASMON-POLARITON MODES; PML; POLE CONDITION;

OPTICAL WAVEGUIDES;

EID: 21844467753     PISSN: 16057422     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.590372     Document Type: Conference Paper

References (21)

1. J. Jin, The Finite Element Method in Electromagnetics, John Wiley and Sons, Inc, 1993.
2. J. Petracek and K. Singh, "Determination of Leaky Modes in Planar Mulitlayer Waveguides," IEEE Photonics Technology Letters 14(6), pp. 810-812, 2002.
3. H. Uranus and H. Hoekstra, "Modelling if microstructured waveguides using a finite-element-based vectorial mode solver with transparent boundary conditions," Optics Express 12(12), 2004.
4. F. Schmidt, "A New Approach to Coupled Interior-Exterior Helmholtz-Type Problems: Theory and Algorithms," habilitation thesis, Konrad-Zuse-Zentrum Berlin, Fachbereich Mathematik und Informatik, FU Berlin, 2001.
5. T. Hohage, F. Schmidt, and L. Zschiedrich, "Solving time-harmonic scattering problems based on the pole condition. I: Theory.," SIAM J. Math. Anal. 35(1), pp. 183-210, 2003.
6. P. Monk, Finite Elements Methods for Maxwell's Equations, Oxford University Press, 2003.
7. T. Hohage, F. Schmidt, and L. Zschiedrich, "Solving time-harmonic scattering problems based on the pole condition. II: Convergence of the PML method.," SIAM J. Math. Anal. 35(3), pp. 547-560, 2003.
8. T. Hohage, F. Schmidt, and L. Zschiedrich, "A new method for the solution of scattering problems," in Proceedings of the JEE'02 Symposium, Toulose, B. Michielsen and F. Decavele, eds., pp. 251-256, ONERA, 2002.
9. J. Bérenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114(2), pp. 185-200, 1994.
10. J. Bérenger, "Three-dimensional perfectly matched layer for the absorption of electromagnetic waves," Journal of computational physics 127, pp. 363-379, 1995.
11. F. Collino and P. Monk, "The perfectly matched layer in curvilinear coordinates," SIAM J. Sci. Comput. 19(6), pp. 2061-2090, 1998.
12. M. Lassas and E. Somersalo, "On the existence and convergence of the solution of PML equations.," Computing No.3, 229-241 60(3), pp. 229-241, 1998.
13. M. Lassas and E. Somersalo, "Analysis of the PML equations in general convex geometry," in Proc. Roy. Soc. Edinburgh Sect. A 131, (5), pp. 1183-1207, 2001.
14. L. Zschiedrich, R. Klose, A. Schädle, and F. Schmidt, "A new Finite Element realization of the Perfectly Matched Layer Method for Helmholtz scattering problems on polygonal domains in 2D," tech. rep., ZIB, 2003.
15. R. Beck and R. Hiptmair, "Multilevel solution of the time-harmonic Maxwell's equations based on edge elements," tech. rep., ZIB, 1996.
16. V. Heuveline and R. Rannacher, "A posteriori error control for finite element approximations of elliptic eigenvalue problems," Journal on Advances in Computational Mathematics. Special issue "A Posteriori Error Estimation and Adaptive Computational Methods" 15, 2001.
17. R. Lehoucq, D. Sorensen, and C. Yang, ARPACK User's Guide: Solution of Large Scale Eigenvalue Problems with Implicitly Restarted Arnoldi Methods.
18. M. Hagemann and O. Schenk, "Pardiso - User Guide Version 1.2.2," tech. rep., Computer Science Departement, University of Basel, Switzerland, 2004.
19. P. Berini, "Plasmon-polariton waves guided by thin lossy metal films of finite width: Bound modes of symmetric structures," Physical Review B 61(15), pp. 10484-10503, 1999.
20. S. Bozhevolnyi. Private communication.
21. D. Yin, H. Schmidt, J. Barber, and A. Hawkins, "Integrated ARROW waveguides with hollow cores," Optics Express 12(12), 2004.