Modal representation of spatial coherence in dissipative and resonant photonic systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 89, Issue 4, 2014, Pages

  Sauvan, C ^a   Hugonin, J P ^a   Carminati, R ^b   Lalanne, P ^c  

^a UNIV PARIS SUD   (France)

^b CNRS   (France)

^c UNIVERSITÉ DE BORDEAUX   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; NANORODS; QUANTUM OPTICS;

COMPLEX FREQUENCY; ELECTROMAGNETIC THEORIES; METALLIC NANORODS; MODAL REPRESENTATION; OPTICAL RESONANCE; QUASINORMAL MODES; RADIATIVE LEAKAGE; SPATIAL COHERENCE;

PLASMONS;

EID: 84899122712     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.89.043825     Document Type: Article

References (64)

1. J. N. Anker, W. P. Hall, O. Lyandres, N. C. Shah, J. Zhao, and R. P. van Duyne, Nat. Mater. 7, 442 (2008). 1476-1122 10.1038/nmat2162
2. N. Liu, M. L. Tang, M. Hentschel, H. Giessen, and A. P. Alivisatos, Nat. Mater. 10, 631 (2011). 1476-1122 10.1038/nmat3029
3. X. Li and M. I. Stockman, Phys. Rev. B 77, 195109 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.195109
4. A. Sentenac and P. C. Chaumet, Phys. Rev. Lett. 101, 013901 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.013901
5. R. F. Oulton, V. J. Sorger, T. Zentgraf, R. M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature (London) 461, 629 (2009); NATUAS 0028-0836 10.1038/nature08364
6. M. A. Noginov, G. Zhu, A. M. Belgrave, R. Bakker, V. M. Shalaev, E. E. Narimanev, S. Stout, E. Herz, T. Suteewong, and U. Wiesner, Nature (London) 460, 1110 (2009). NATUAS 0028-0836 10.1038/nature08318
7. M. Khajavikhan, A. Simic, M. Katz, J. H. Lee, B. Slutsky, A. Mizrahi, V. Lomakin, and Y. Fainman, Nature (London) 482, 204 (2012). NATUAS 0028-0836 10.1038/nature10840
8. A. J. Shields, Nature Photon. 1, 215 (2007). 1749-4885 10.1038/nphoton.2007.46
9. J. Claudon, J. Bleuse, N. S. Malik, M. Bazin, P. Jaffrennou, N. Gregersen, C. Sauvan, P. Lalanne, and J.-M. Gérard, Nature Photon. 4, 174 (2010). 1749-4885 10.1038/nphoton.2009.287
10. H. A. Atwater and A. Polman, Nat. Mater. 9, 205 (2010). 1476-1122 10.1038/nmat2629
11. M. Durach, A. Rusina, and M. I. Stockman, Nano Lett. 7, 3145 (2007). NALEFD 1530-6984 10.1021/nl071718g
12. R. H. Dicke, Phys. Rev. 93, 99 (1954). PHRVAO 0031-899X 10.1103/PhysRev.93.99
13. V. N. Pustovit and T. V. Shahbazyan, Phys. Rev. Lett. 102, 077401 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.102.077401
14. D. Martín-Cano, L. Martín-Moreno, F. J. García-Vidal, and E. Moreno, Nano Lett. 10, 3129 (2010). NALEFD 1530-6984 10.1021/nl101876f
15. J. de Rosny and M. Fink, Phys. Rev. Lett. 89, 124301 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.124301
16. S. A. Ponomarenko and E. Wolf, Phys. Rev. E 65, 016602 (2001). 1063-651X 10.1103/PhysRevE.65.016602
17. R. L. Weaver and O. I. Lobkis, Phys. Rev. Lett. 87, 134301 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.134301
18. T. Setälä, K. Blomstedt, M. Kaivola, and A. T. Friberg, Phys. Rev. E 67, 026613 (2003). 1063-651X 10.1103/PhysRevE.67.026613
19. K. Joulain, J.-P. Mulet, F. Marquier, R. Carminati, and J.-J. Greffet, Surf. Sci. Rep. 57, 59 (2005). SSREDI 0167-5729 10.1016/j.surfrep.2004.12.002
20. R. Carminati, R. Pierrat, J. de Rosny, and M. Fink, Opt. Lett. 32, 3107 (2007). OPLEDP 0146-9592 10.1364/OL.32.003107
21. A. Cazé, R. Pierrat, and R. Carminati, Phys. Rev. Lett. 110, 063903 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.110.063903
22. P. M. Morse and H. Feshbach, Methods of Theoretical Physics (McGraw-Hill, New York, 1953).
23. M. M. Dignam, D. P. Fussell, M. J. Steel, C. M. de Sterke, and R. C. McPhedran, Phys. Rev. Lett. 96, 103902 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.103902
24. D. P. Fussell, M. M. Dignam, M. J. Steel, C. M. de Sterke, and R. C. McPhedran, Phys. Rev. A 74, 043806 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74. 043806
25. A. F. Koenderink, Opt. Lett. 35, 4208 (2010). OPLEDP 0146-9592 10.1364/OL.35.004208
26. A. J. F. Siegert, Phys. Rev. 56, 750 (1939). PHRVAO 0031-899X 10.1103/PhysRev.56.750
27. R. M. More, Phys. Rev. A 4, 1782 (1971). 0556-2791 10.1103/PhysRevA.4. 1782
28. R. M. More and E. Gerjuoy, Phys. Rev. A 7, 1288 (1973). 0556-2791 10.1103/PhysRevA.7.1288
29. B. J. Hoenders, J. Math. Phys. 20, 329 (1979). JMAPAQ 0022-2488 10.1063/1.524065
30. P. T. Leung, S. Y. Liu, and K. Young, Phys. Rev. A 49, 3057 (1994). PLRAAN 1050-2947 10.1103/PhysRevA.49.3057
31. P. T. Leung, S. Y. Liu, S. S. Tong, and K. Young, Phys. Rev. A 49, 3068 (1994). PLRAAN 1050-2947 10.1103/PhysRevA.49.3068
32. R. K. Chang and A. J. Campillo, Optical Processes in Microcavities (World Scientific, London, 1996), Chap. 1.
33. K. M. Lee, P. T. Leung, and K. M. Pang, J. Opt. Soc. Am. B 16, 1409 (1999). JOBPDE 0740-3224 10.1364/JOSAB.16.001409
34. P. T. Leung, K. M. Pang, and K. Young, J. Phys. A: Math. Gen. 39, 247 (2006). JPHAC5 0305-4470 10.1088/0305-4470/39/1/018
35. 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
36. M. B. Doost, W. Langbein, and E. A. Muljarov, Phys. Rev. A 85, 023835 (2012). PLRAAN 1050-2947 10.1103/PhysRevA.85.023835
37. P. T. Kristensen, C. van Vlack, and S. Hughes, Opt. Lett. 37, 1649 (2012). OPLEDP 0146-9592 10.1364/OL.37.001649
38. S. Derom, R. Vincent, A. Bouhelier, and G. Colas des Francs, Europhys. Lett. 98, 47008 (2012). EULEEJ 0295-5075 10.1209/0295-5075/98/47008
39. S. Hein, T. Hohage, and W. Koch, J. Fluid. Mech. 506, 255 (2004). JFLSA7 0022-1120 10.1017/S0022112004008584
40. A. W. Snyder and J. D. Love, Optical Waveguide Theory (Chapman & Hall, London, 1983).
41. M. I. Stockman, S. V. Faleev, and D. J. Bergman, Phys. Rev. Lett. 87, 167401 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.87.167401
42. G. Boudarham and M. Kociak, Phys. Rev. B 85, 245447 (2012). PRBMDO 1098-0121 10.1103/PhysRevB.85.245447
43. H. E. Türeci, A. D. Stone, and B. Collier, Phys. Rev. A 74, 043822 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.043822
44. P. T. Leung, S. Y. Liu, and K. Young, Phys. Rev. A 49, 3982 (1994). PLRAAN 1050-2947 10.1103/PhysRevA.49.3982
45. Q. I. Dai, W. C. Chew, Y. H. Lo, Y. G. Liu, and L. J. Jiang, IEEE Antenn. Wireless Propag. Lett. 11, 1052 (2012). 1536-1225 10.1109/LAWP.2012.2215571
46. B. Vial, F. Zolla, A. Nicolet, and M. Commandré, Phys. Rev. A 89, 023829 (2014). PLRAAN 1050-2947 10.1103/PhysRevA.89.023829
47. 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
48. Q. Bai, M. Perrin, C. Sauvan, J.-P. Hugonin, and P. Lalanne, Opt. Express 21, 27371 (2013). OPEXFF 1094-4087 10.1364/OE.21.027371
49. N. V. Budko and A. B. Samokhin, Phys. Rev. Lett. 96, 023904 (2006). PRLTAO 0031-9007 10.1103/PhysRevLett.96.023904
50. Stretched-coordinate perfectly matched layers map real-space coordinates to complex numbers, resulting in exponentially decaying waves in the perfectly matched layer region while preserving ougoing wave boundary conditions; see, for instance, W. C. Chew and W. H. Weedon, Microwave Opt. Technol. Letters 7, 599 (1994). MOTLEO 0895-2477 10.1002/mop.4650071304
51. The Lorentz reciprocity theorem is a general theorem that can be directly deduced from Maxwell's equations. It is valid for any system, with radiative leakage, absorption, or dispersion. The only restriction is that the materials must be reciprocal (i.e., the permittivity and permeability tensors must be symmetrical).
52. M. Agio and D. Martin-Cano, Nature Photon. 7, 674 (2013). 1749-4885 10.1038/nphoton.2013.219
53. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals (Princeton University Press, Princeton, NJ, 2008), Chap. 2.
54. P. Lalanne, C. Sauvan, and J.-P. Hugonin, Laser Photon. Rev. 2, 514 (2008). 1863-8880 10.1002/lpor.200810018
55. E. Silberstein, P. Lalanne, J.-P. Hugonin, and Q. Cao, J. Opt. Soc. Am. A 18, 2865 (2001). 1084-7529 10.1364/JOSAA.18.002865
56. N. Bonod, E. Popov, and M. Nevière, J. Opt. Soc. Am. A 22, 481 (2005). 1084-7529 10.1364/JOSAA.22.000481
57. M. G. Moharam, E. B. Grann, D. A. Pommet, and T. K. Gaylord, J. Opt. Soc. Am. A 7, 599 (1995).
58. L. Li, J. Opt. Soc. Am. A 14, 2758 (1997). 1084-7529 10.1364/JOSAA.14. 002758
59. G. Lecamp, J. P. Hugonin, and P. Lalanne, Opt. Express 15, 11042 (2007). OPEXFF 1094-4087 10.1364/OE.15.011042
60. 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
61. L. Novotny and N. F. van Hulst, Nature Photon. 5, 83 (2011). 1749-4885 10.1038/nphoton.2010.237
62. M. Agio, Nanoscale 4, 692 (2012). 2040-3364 10.1039/c1nr11116g
63. L. Novotny, Phys. Rev. Lett. 98, 266802 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.266802
64. E. D. Palik, Handbook of Optical Constants of Solids (Academic Press, New York, 1985)