A Mode Selecting Eigensolver for 2D FIT Models of Waveguides
Keywords:
A Mode Selecting Eigensolver for 2D FIT Models of WaveguidesAbstract
For the computation of eigenmodes in multimodal waveguide structures, the Jacobi- Davidson eigenvalue solver is extended by a vector-based weighting function. It allows to generate only modes with a desired field distribution. The performance of this solver is studied by means of an eigenmode computation in a photonic crystal fiber which is discretized by the finite integration technique. The new algorithm is able to separate the modes in the fiber core from a number of non-physical modes which originate from a transversal PML-type boundary condition.
Downloads
References
J.-P. Berenger, “Application of the CFS PML
to the absorption of evanescent waves in
waveguides”, Microwave and Wireless
Components Letters, IEEE, vol. 12, no. 6, pp.
-220, Jun 2002.
G. L. G. Sleijpen and H. A. Van der Vorst, “A
Jacobi-Davidson iteration method for linear
eigenvalue problems”, SIAM J. Matrix Anal.
Appl., vol. 17, no. 2, pp. 401-425, 1996.
M. Hochstenbach, “Jacobi-Davidson
gateway”, http://www.win.tue.nl/casa/research
/topics/jd/.
G. Hebermehl, F.-K. Hübner, R. Schlundt, T.
Tischler, H. Zscheile and W. Heinrich, “Eigen
mode computation of microwave and laser
structures including PML”, in Scientific
Computing in Electrical Engineering, ser.
Mathematics in Industry, W. H. A. Schilders,
E. J. W. ter Maten, and S. H. M. J. Houben,
Eds., vol. 4. Springer Verlag, pp. 196-205,
G. Hebermehl, F.-K. Hübner, R. Schlundt, T.
Tischler, H. Zscheile and W. Heinrich,
“Perfectly matched layers in transmission
lines”, in Numerical Mathematics and
Advanced Applications, ser. ENUMATH
, F. Brezzi, A. Buffa, S. Corsaro, and A.
Murli, Eds. Springer Italia, pp. 281-290, 2001.
G. Hebermehl, J. Schefter, R. Schlundt, T.
Tischler, H. Zscheile, and W. Heinrich,
“Simulation of microwave and semiconductor
laser structures including PML: Computation
of the eigenmode problem, the boundary value
problem, and the scattering matrix”, in Proc.
th International Workshop Scientific
Computing in Electrical Engineering (SCEE),
Capo D'Orlando, Italy, September 5-9, 2004,
ser. Scientific Computing in Electrical
Engineering, G. M. A. Anile, G. Ali, Ed.
Springer Verlag, pp. 203-214, 2006.
T. Weiland, “Eine Methode zur Lösung der
Maxwellschen Gleichungen für
sechskomponentige Felder auf diskreter
Basis“, Archiv für Elektronik und
Übertragungstechnik, vol. 31, pp. 116-120,
T. Weiland, “Time Domain Electromagnetic
Field Computation with Finite Difference
Methods”, International Journal of Numerical
Modelling, vol. 9, no. 4, pp. 295-319, 1996.
ACES JOURNAL, VOL. 24, NO. 6, DECEMBER 2009
R. Schuhmann and T. Weiland, “Conservation
of discrete energy and related laws in the finite
integration technique”, in Geometric Methods
for Computational Electromagnetics, ser.
Electromagnetic Waves: Progress in
Electromagnetics Research (PIER), F. L.
Teixeira, Ed. Cambridge, MA: EMW
Publishing, vol. 32, pp. 301-316, 2001.
P. S. Russell, “Photonic-crystal fibers”, J.
Lightwave Technol., vol. 24, no. 12, pp. 4729-
, 2006.
Computer Simulation Technology AG (CST),
“CST Studio Suite 2008”, http://www.cst.com.
G. L. G. Sleijpen and D. R. Fokkema,
“BiCGstab(l) for linear equations involving
unsymmetric matrices with complex
spectrum”, Electron. Trans. Numer. Anal., vol.
, No. Sept., pp. 11-32 (electronic only), 1993.
