OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 20 — Sep. 26, 2011
  • pp: 19354–19364

Analysis of microstructured optical fibers using compact macromodels

P. Kowalczyk, L. Kulas, and M. Mrozowski  »View Author Affiliations


Optics Express, Vol. 19, Issue 20, pp. 19354-19364 (2011)
http://dx.doi.org/10.1364/OE.19.019354


View Full Text Article

Enhanced HTML    Acrobat PDF (956 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In this paper a new technique for numerical analysis of microstructured optical fibers is proposed. The technique uses a combination of model order reduction method and discrete function expansion technique. A significant reduction of the problem size is achieved (by about 85%), which results in much faster simulations (up to 16 times) without affecting the accuracy.

© 2011 OSA

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(060.2400) Fiber optics and optical communications : Fiber properties

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: April 14, 2011
Revised Manuscript: June 23, 2011
Manuscript Accepted: June 28, 2011
Published: September 22, 2011

Citation
P. Kowalczyk, L. Kulas, and M. Mrozowski, "Analysis of microstructured optical fibers using compact macromodels," Opt. Express 19, 19354-19364 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-20-19354


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. P. Kowalczyk, M. Wiktor, and M. Mrozowski, “Efficient finite difference analysis of microstructured optical fibers,” Opt. Express 13, 10349–10359 (2005), http://www.opticsinfobase.org/abstract.cfm?URI=oe-13-25-10349 .
  2. P. Kowalczyk and M. Mrozowski, “A new conformal radiation boundary condition for high accuracy finite difference analysis of open waveguides,” Opt. Express 15, 12605–12618 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-20-12605 . [CrossRef] [PubMed]
  3. B. Moore, “Principal component analysis in linear systems: Controllability, observability, and model reduction,” IEEE Trans. Automat. Contr. , AC-26, 1732 (1981).
  4. P. Feldmann and R. W. Freund, “Efficient Linear Circuit Analysis by Pade Approximation via the Lanczos Process,” IEEE Transactions on Computer-Aided Design , 14, 639–649 (1995). [CrossRef]
  5. A. Odabasioglu, M. Celk, and L. T. Pileggi, “PRIMA: Passive Reduced-order Interconnect Macromodeling Algorithm,” 34th DAC, 58–65 (1997).
  6. B. N. Sheehan, “ENOR: Model Order Reduction of RLC Circuits Using Nodal Equations for Efficient Factorization,” in Proc. IEEE 36th Design Automat. Conf. , 17–21 (1999).
  7. L. Kulas and M. Mrozowski, “Macromodels in the frequency domain analysis of microwave resonators,”Microwave and Wireless Components Letters, IEEE , 14, 94–96 (2004), http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1278378&isnumber=28582 [CrossRef]
  8. L. Kulas and M. Mrozowski, “Multilevel model order reduction,” Microwave and Wireless Components Letters, IEEE , 14, 165–167 (2004), http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1291452&isnumber=28762 [CrossRef]
  9. L. Kulas and M. Mrozowski, “A fast high-resolution 3-D finite-difference time-domain scheme with macromodels,” IEEE Trans. Microwave Theory Tech. 52, 2330– 2335 (2004). [CrossRef]
  10. J. Podwalski, L. Kulas, P. Sypek, and M. Mrozowski, “Analysis of a High-Quality Photonic Crystal Resonator,” Microwaves, Radar & Wireless Communications. MIKON 2006. International Conference on, 793–796 (2006) http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4345301&isnumber=4345079 .
  11. A. C. Cangellaris, M. Celik, S. Pasha, and Z. Li,“Electromagnetic model order reduction for system-level modeling,” Microwave Theory Techniques, IEEE Transactions on , 47, 840–850 (1999), http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=769317&isnumber=16668 . [CrossRef]
  12. Y. Zhu and A. C. Canellaris, Multigrid Finite Element Methods for Electromagnetic Field Modeling (John Wiley & Sons, Inc., 2006). [CrossRef]
  13. Z. Zhu and T. G. Brown, “Full-vectorial finite-difference analysis of microstructured optical fibers,” Opt. Express 10, 853–864 (2002), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-10-17-853 . [PubMed]
  14. S. Guo, F. Wu, S. Albin, H. Tai, and R. S. Rogowski, “Loss and dispersion analysis of microstructured fibers by finite-difference method,” Opt. Express 12, 3341–3352 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-15-3341 .
  15. L. Kulas, P. Kowalczyk, and M. Mrozowski, “A Novel Modal Technique for Time and Frequency Domain Analysis of Waveguide Components,” Microwave and Wireless Components Letters, IEEE , 21, 7–9 (2011), http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5659497&isnumber=5680668 . [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited