Quasimodal expansion of electromagnetic fields in open two-dimensional structures

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 89, Issue 2, 2014, Pages

  Vial, Benjamin ^a   Zolla, Frédéric ^a   Nicolet, André ^a   Commandré, Mireille ^a  

^a AIX MARSEILLE UNIVERSITÉ   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84894570878     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.89.023829     Document Type: Article

References (77)

1. R. Sammut and A. W. Snyder, Appl. Opt. 15, 1040 (1976). APOPAI 0003-6935 10.1364/AO.15.001040
2. A. G. Fox and T. Li, Bell Syst. Tech. J. 40, 453 (1961). BSTJAN 0005-8580 10.1002/j.1538-7305.1961.tb01625.x
3. B. Simon, Int. J. Quantum Chem. 14, 529 (1978). IJQCB2 0020-7608 10.1002/qua.560140415
4. W. E. Lamb Jr., Phys. Rev. 134, A1429 (1964). PHRVAO 0031-899X 10.1103/PhysRev.134.A1429
5. A. Settimi, S. Severini, and B. J. Hoenders, J. Opt. Soc. Am. B 26, 876 (2009). JOBPDE 0740-3224 10.1364/JOSAB.26.000876
6. A. Settimi, S. Severini, N. Mattiucci, C. Sibilia, M. Centini, G. D'Aguanno, M. Bertolotti, M. Scalora, M. Bloemer, and C. M. Bowden, Phys. Rev. E 68, 026614 (2003). 1063-651X 10.1103/PhysRevE.68.026614
7. S. G. Tikhodeev, A. L. Yablonskii, E. A. Muljarov, N. A. Gippius, and T. Ishihara, Phys. Rev. B 66, 045102 (2002). PRBMDO 1098-0121 10.1103/PhysRevB.66. 045102
8. H. Rigneault, J. Capoulade, J. Dintinger, J. Wenger, N. Bonod, E. Popov, T. W. Ebbesen, and P.-F. Lenne, Phys. Rev. Lett. 95, 117401 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.95.117401 (Pubitemid 41505692)
9. J. Wenger, D. Gérard, J. Dintinger, O. Mahboub, N. Bonod, E. Popov, T. W. Ebbesen, and H. Rigneault, Opt. Express 16, 3008 (2008). OPEXFF 1094-4087 10.1364/OE.16.003008 (Pubitemid 351342521)
10. P. Mühlschlegel, H.-J. Eisler, O. J. F. Martin, B. Hecht, and D. W. Pohl, Science 308, 1607 (2005). SCIEAS 0036-8075 10.1126/science.1111886 (Pubitemid 40807505)
11. B. Rolly, B. Stout, and N. Bonod, Opt. Express 20, 20376 (2012). OPEXFF 1094-4087 10.1364/OE.20.020376
12. T. Yoshie, J. Vuckovic, A. Scherer, H. Chen, and D. Deppe, Appl. Phys. Lett. 79, 4289 (2001). APPLAB 0003-6951 10.1063/1.1427748 (Pubitemid 34047783)
13. Y. Akahane, T. Asano, B.-S. Song, and S. Noda, Nature (London) 425, 944 (2003). NATUAS 0028-0836 10.1038/nature02063 (Pubitemid 37376922)
14. A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, Waves Random Complex Media 17, 559 (2007). 1745-5030 10.1080/17455030701481849 (Pubitemid 350018216)
15. S. Peng and G. M. Morris, J. Opt. Soc. Am. A 13, 993 (1996). 1084-7529 10.1364/JOSAA.13.000993
16. T. Tamir and S. Zhang, J. Opt. Soc. Am. A 14, 1607 (1997). 1084-7529 10.1364/JOSAA.14.001607
17. N. Bonod, G. Tayeb, D. Maystre, S. Enoch, and E. Popov, Opt. Express 16, 15431 (2008). OPEXFF 1094-4087 10.1364/OE.16.015431
18. F. Garcia-Vidal, L. Martin-Moreno, T. Ebbesen, and L. Kuipers, Rev. Mod. Phys. 82, 729 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.729
19. C. Genet and T. W. Ebbesen, Nature (London) 445, 39 (2007). NATUAS 0028-0836 10.1038/nature05350 (Pubitemid 46074988)
20. A.-L. Fehrembach and A. Sentenac, J. Opt. Soc. Am. A 20, 481 (2003). 1084-7529 10.1364/JOSAA.20.000481
21. A. L. Fehrembach and A. Sentenac, Appl. Phys. Lett. 86, 121105 (2005). APPLAB 0003-6951 10.1063/1.1886895 (Pubitemid 40596875)
22. Y. Ding and R. Magnusson, Opt. Express 12, 1885 (2004). OPEXFF 1094-4087 10.1364/OPEX.12.001885
23. B. Vial, Ph.D. thesis, Centrale Marseille, 2013.
24. S. Gleyzes, S. Kuhr, C. Guerlin, J. Bernu, S. Deleglise, U. Busk Hoff, M. Brune, J.-M. Raimond, and S. Haroche, Nature (London) 446, 297 (2007). NATUAS 0028-0836 10.1038/nature05589 (Pubitemid 46426150)
25. S. Kuhr, S. Gleyzes, C. Guerlin, J. Bernu, U. B. Hoff, S. Deleglise, S. Osnaghi, M. Brune, J.-M. Raimond, S. Haroche, E. Jacques, P. Bosland, and B. Visentin, Appl. Phys. Lett. 90, 164101 (2007). APPLAB 0003-6951 10.1063/1.2724816 (Pubitemid 46644896)
26. S. Haroche and D. Kleppner, Phys. Today 42, 24 (1989). PHTOAD 0031-9228 10.1063/1.881201
27. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, Phys. Rev. E 65, 016608 (2001). 1063-651X 10.1103/PhysRevE.65.016608
28. M. Neviére, Electromagnetic Theory of Gratings (Springer-Verlag, Berlin, 1980), Chap. 5.
29. M. G. Moharam and T. K. Gaylord, J. Opt. Soc. Am. A 71, 811 (1981). JOSAAH 0030-3941 10.1364/JOSA.71.000811
30. K. Rokushima and J. Yamanaka, J. Opt. Soc. Am. A 73, 901 (1983). JOSAAH 0030-3941 10.1364/JOSA.73.000901
31. L. Li, J. Opt. Soc. Am. A 14, 2758 (1997). 1084-7529 10.1364/JOSAA.14. 002758
32. B. Guizal, H. Yala, and D. Felbacq, Opt. Lett. 34, 2790 (2009). OPLEDP 0146-9592 10.1364/OL.34.002790
33. K. Watanabe, J. Opt. Soc. Am. A 19, 2245 (2002). 1084-7529 10.1364/JOSAA.19.002245
34. D. Maystre, J. Opt. Soc. Am. A 68, 490 (1978). JOSAAH 0030-3941 10.1364/JOSA.68.000490
35. K. Yee, IEEE Trans. Ant. Prop. AP-14, 302 (1966). 10.1109/TAP.1966. 1138693
36. W. M. Saj, Opt. Express 13, 4818 (2005). OPEXFF 1094-4087 10.1364/OPEX.13.004818 (Pubitemid 41029316)
37. T. Delort and D. Maystre, J. Opt. Soc. Am. A 2592-2601, 10 (1993).
38. Y. T. Y. Ohkawa and M. Koshiba, J. Opt. Soc. Am. A 13, 1006 (1996). 1084-7529 10.1364/JOSAA.13.001006
39. Z. C. G. Bao and H. Wu, J. Opt. Soc. Am. A 22, 1106 (2005). 1084-7529 10.1364/JOSAA.22.001106 (Pubitemid 40858071)
40. G. Demésy, F. Zolla, A. Nicolet, and M. Commandré, Opt. Lett. 34, 2216 (2009). OPLEDP 0146-9592 10.1364/OL.34.002216
41. F. Zolla and R. Petit, J. Opt. Soc. Am. A 13, 796 (1996). 1084-7529 10.1364/JOSAA.13.000796
42. E. Centeno and D. Felbacq, Phys. Rev. B 62, R7683 (2000). PRBMDO 0163-1829 10.1103/PhysRevB.62.R7683 (Pubitemid 32336135)
43. D. Felbacq, Phys. Rev. E 64, 047702 (2001). 1063-651X 10.1103/PhysRevE.64.047702
44. N. A. Gippius, T. Weiss, S. G. Tikhodeev, and H. Giessen, Opt. Express 18, 7569 (2010). OPEXFF 1094-4087 10.1364/OE.18.007569
45. D. A. Bykov and L. L. Doskolovich, J. Lightwave Technol. 31, 793 (2013). JLTEDG 0733-8724 10.1109/JLT.2012.2234723
46. F. Zolla, G. Renversez, A. Nicolet, B. Kuhlmey, S. Guenneau, D. Felbacq, A. Argyros, and S. Leon-Saval, Foundations of Photonic Crystal Fibres, 2nd ed. (Imperial College Press, London, 2012).
47. M. V. Eliseev, A. G. Rozhnev, and A. B. Manenkov, J. Lightwave Technol. 23, 2586 (2005). JLTEDG 0733-8724 10.1109/JLT.2005.852027 (Pubitemid 41294714)
48. Z. Zhang, Y. Shi, B. Bian, and J. Lu, Opt. Express 16, 1915 (2008). OPEXFF 1094-4087 10.1364/OE.16.001915 (Pubitemid 351240032)
49. J.-P. Berenger, J. Comput. Phys. 114, 185 (1994). JCTPAH 0021-9991 10.1006/jcph.1994.1159 (Pubitemid 124012822)
50. Y. Ould Agha, F. Zolla, A. Nicolet, and S. Guenneau, COMPEL 27, 95 (2008). CODUDU 0332-1649 10.1108/03321640810836672
51. M. Popovic, in Integrated Photonics Research, OSA Technical Digest (Optical Society of America, Washington, DC, 2003), pp. 143-145.
52. A.-S. Bonnet-BenDhia, B. Goursaud, C. Hazard, and A. Prieto, Ultrasonic Wave Propagation in Non Homogeneous Media (Springer, Berlin, 2009).
53. V. V. Shevchenko, Radiophys. Quantum Electron. 14, 972 (1971). RPQEAC 0033-8443 10.1007/BF01029499
54. H. M. Lai, P. T. Leung, K. Young, P. W. Barber, and S. C. Hill, Phys. Rev. A 41, 5187 (1990). PLRAAN 1050-2947 10.1103/PhysRevA.41.5187
55. E. S. C. Ching, P. T. Leung, A. Maassen van den Brink, W. M. Suen, S. S. Tong, and K. Young, Rev. Mod. Phys. 70, 1545 (1998). RMPHAT 0034-6861 10.1103/RevModPhys.70.1545 (Pubitemid 128159254)
56. H. Derudder, F. Olyslager, and D. De Zutter, Microwave Guided Wave Lett., IEEE 9, 505 (1999). IMGLE3 1051-8207 10.1109/75.819413 (Pubitemid 30558822)
57. H. Derudder, D. De Zutter, and F. Olyslager, in Antennas and Propagation Society International Symposium, 2000, IEEE, Vol. 2 (IEEE, New York, 2000), pp. 618-621.
58. Q. Dai, W. C. Chew, Y. H. Lo, Y. Liu, and L. J. Jiang, IEEE Antenn. Wirel. Pr. 17, 1052 (2012). 1536-1225 10.1109/LAWP.2012.2215571
59. E. A. Muljarov, W. Langbein, and R. Zimmermann, Europhys. Lett. 92, 50010 (2010). EULEEJ 0295-5075 10.1209/0295-5075/92/50010
60. M. B. Doost, W. Langbein, and E. A. Muljarov, Phys. Rev. A 85, 023835 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.023835
61. M. B. Doost, W. Langbein, and E. A. Muljarov, Phys. Rev. A 87, 043827 (2013). PLRAAN 1050-2947 10.1103/PhysRevA.87.043827
62. C. Sauvan, J. P. Hugonin, I. S. Maksymov, and P. Lalanne, Phys. Rev. Lett. 110, 237401 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.237401
63. G. Demésy, F. Zolla, A. Nicolet, M. Commandré, and C. Fossati, Opt. Express 15, 18089 (2007). OPEXFF 1094-4087 10.1364/OE.15.018089
64. G. Demésy, F. Zolla, A. Nicolet, and M. Commandré, J. Opt. Soc. Am. A 27, 878 (2010). 1084-7529 10.1364/JOSAA.27.000878
65. A. Nicolet, F. Zolla, Y. O. Agha, and S. Guenneau, COMPEL 27, 806 (2008). CODUDU 0332-1649 10.1108/03321640810878216
66. M. Lassas, J. Liukkonen, and E. Somersalo, J. Math. Pure. Appl. 80, 739 (2001). JMPAAM 0021-7824 10.1016/S0021-7824(01)01214-4
67. M. Lassas and E. Somersalo, Proc. R. Soc. Edinburgh: Sect. A Math. 131, 1183 (2001). PEAMDU 0308-2105 10.1017/S0308210500001335
68. O. Schenk and K. Gärtner, Future Gen. Comput. Syst. 20, 475 (2004). 0167-739X 10.1016/j.future.2003.07.011
69. G. Hanson and A. Yakovlev, Operator Theory for Electromagnetics: An Introduction (Springer, Berlin, 2002).
70. S. Hein, T. Hohage, and W. Koch, J. Fluid Mech. 506, 255 (2004). JFLSA7 0022-1120 10.1017/S0022112004008584 (Pubitemid 38673025)
71. B. Goursaud, Ph.D. thesis, Ecole Polytechnique, ENSTA ParisTech, 2010.
72. F. Olyslager, SIAM J. Appl. Math. 64, 1408 (2004). SMJMAP 0036-1399 10.1137/S0036139903430197
73. R. G. Grimes, J. G. Lewis, and H. D. Simon, SIAM J. Matrix Anal. Appl. 15, 228 (1994). SJMAEL 0895-4798 10.1137/S0895479888151111
74. R. B. Lehoucq, D. C. Sorensen, and C. Yang, ARPACK Users' Guide (Society for Industrial and Applied Mathematics, Philadelphia, PA, USA, 1998).
75. P. T. Leung, S. Y. Liu, and K. Young, Phys. Rev. A 49, 3057 (1994). PLRAAN 1050-2947 10.1103/PhysRevA.49.3057
76. S. Kim and J. E. Pasciak, Math. Comput. 78, 1375 (2009). MCMPAF 0025-5718 10.1090/S0025-5718-09-02227-3
77. H. Macleod, Thin-film Optical Filters, 3rd ed. (Institute of Physics, University of Reading, Berkshire, 2001).