Plane wave admittance method - A novel approach for determining the electromagnetic modes in photonic structures

Optics Express

Volumn 13, Issue 9, 2005, Pages 3196-3207

  Dems, Maciej ^a   Kotynski, Rafal ^b,c   Panajotov, Krassimir ^c  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b UNIVERSITY OF WARSAW   (Poland)

^c VRIJE UNIVERSITEIT BRUSSEL   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; CRYSTALS; ELECTRONIC STRUCTURE; INTEGRATED CIRCUITS; MATHEMATICAL MODELS; MULTILAYERS; PHOTONS; WAVEGUIDES;

ELECTROMAGNETIC MODES; PHOTONIC MULTILAYERS; PHOTONIC STRUCTURES; PLANE WAVE ADMITTANCE METHOD;

ELECTROMAGNETISM;

EID: 21244499747     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OPEX.13.003196     Document Type: Article

References (25)

1. J. D. Joannopoulos, R. D. Meade, a J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton University Press, Princeton, 1995).
2. K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin 2001).
3. N. Yokouchi, A. J. Danner, and K. D. Choquette, "Two-Dimensional Photonic Crystal Confined Vertical-Cavity Surface-Emitting Lasers," IEEE J. Sel. Top. Quantum Electron. 9, 1439-1445 (2003).
4. A. Taflove, Computational Electrodynamics: The Finite-Difference Time-Domain Method (Artec House Inc., Boston, 1995).
5. S. Datta, C. T. Chan, K. M. Ho, and C. M. Soukoulis, "Photonic band gaps in periodic dielectric structures: The scalar-wave approximation," Phys. Rev. B 46, 10650-10656 (1992).
6. S. Johnson and J. D. Joannopoulous, "Block Iterative frequency-domain methods for Maxwell's equations in a planewave basis," Opt. Express 8, 173-190 (2001), http://www.opticsexpress.org/abstract.cfm?URI= OPEX-8-3-173.
7. S. Quo and S. Albin, "Simple plane wave implementation for photonic crystal calculations," Opt. Express 11, 167-175 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-2-167.
8. H. S. Sözüer and J. W. Haus, "Photonic bands: convergence problems with the plane-wave method," Phys. Rev. B 45, 13962-13972 (1992).
9. Ch. Sauvan, Ph. Lalanne, and J. P. Hugonin, "Truncation rules for modelling discontinuities with Galerkin method in electromagnetic theory," Opt. Quantum Electron. 36, 271-284, 2004.
10. R. D. Meade, A. M. Rappe, K. D. Brommer, J. D. Joannopoulous, and O. L. Alerhand, "Accurate theoretical analysis of photonic band-gap materials," Phys. Rev. B 48, 8434-8437 (1993).
11. A. Ferrando, E. Silvestre, J. J. Miret, P. Andres, and M. V. Andres, "Full-vector analysis of a realistic photonic crystal fiber," Opt. Lett. 24, 276-278 (1999).
12. J. M. Pottage, D. Bird, T. D. Hedley, J. C. Knight, T. A. Birks, P. S. J Russell, and P. J. Roberts, "Robust photonic band gaps for hollow core guidance in PCF made from high index glass," Opt. Express 11, 2854-2861 (2003), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-11-22-2854.
13. S. Shi, C. Chen, and D.W. Prather, "Revised plane wave method for dispersive material and its application to band structure calculations of photonic crystal slabs," Appl. Phys. Lett. 86, 043104 (2005), http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id= VIRT01000011000004000041000001.
14. P. Lalanne, "Electromagnetic Analysis of Photonic Crystal Waveguides Operating Above the Light Cone," IEEE J. Quantum Electron. 38, 800-804 (2002).
15. M. Qiu, "Effective index method for heterostructure-slab-waveguide- based two-dimensional photonic crystals," Appl. Phys. Lett. 81 1163-1165 (2002).
16. P. Bienstman, "Two-stage mode finder for waveguides with a 2D cross-section," Opt. Quantum Electron. 36, 5-14, 2004.
17. K. Ohtaka, J. Inoue, and S. Yamaguti, "Derivation of the density of states of leaky photonic bands," Phys. Rev. B 70 035109 (2004).
18. S. F. Helfert, R. Pregla,"Efficient Analysis of Periodic Structures," J. Lightwave Technol. 16, 1694-1702 (1998).
19. O. Conradi, S. F. Helfert, and R. Pregla, "Comprehensive Modeling of Vertical-Cavity Laser-Diodes by the Method of Lines," IEEE J. Quantum Electron. 37, 928-935 (2001).
20. S. F. Helfert, A. Barcz, and R. Pregla, "Three-dimensional vectorial analysis of waveguide structures with the method of lines," Opt. Quantum Electron. 35, 381-394 (2003).
21. J. P. Berenger, "A perfectly matched layer for the absorption of electromagnetic waves," J. Comput. Phys. 114, 185-200 (1994).
22. H. Derudder, F. Olyslager, D. De Zuter, S. Van den Berghe, "Efficient Mode-Matcing Analysis of Discontinuities in Finit Planar Substrates Using Perfectly Matched Layers," IEEE Trans. Antennas and Propagation 49, 185-195 (2001).
23. T. Czyszanowski, "Comparative Analysis of Validity Limits of Scalar and Vector Approaches to Optical Fields in Diode Lasers," Ph.D. diss., Technical University of Lodz (2004).
24. S. Shi, C. Chen, and D. W Prather, "Plane-wave expansion method for calculating band structure of photonic crystal slabs with perfectly matched layers," J. Opt. Soc. Am. A 21, 1769-1775 (2004)
25. S. G. Johnson, S. Fan, P. R. Villeneuve, J. D. Joannopoulous, and L. A. Kolodziejski, "Guided modes in photonic crystal slabs," Phys. Rev. B 60, 5751-5758 (1999).