Resonant state expansion applied to two-dimensional open optical systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 87, Issue 4, 2013, Pages

  Doost, M B ^a   Langbein, W ^a   Muljarov, E A ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX FREQUENCY; CONVERGENCY; EIGEN FREQUENCIES; HOMOGENEOUS DIELECTRICS; ORBITAL MOMENTUM; PERTURBATIVE METHOD; RESONANT STATE; UNPERTURBED SYSTEMS;

CYLINDERS (SHAPES); DIELECTRIC DEVICES; WIRE;

TWO DIMENSIONAL;

EID: 84877744833     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.87.043827     Document Type: Article

References (49)

1. K. Vahala, Nature (London) NATUAS 0028-0836 10.1038/nature01939 424, 839 (2003). (Pubitemid 37021719)
2. Optical Processes in Microcavities, edited by R. K. Chang and A. J. Campillo (World Scientific, Singapore, 1996).
3. P. Russell, Science SCIEAS 0036-8075 10.1126/science.1079280 299, 358 (2003). (Pubitemid 36120031)
4. L. Collot, V. Lefèvre-Seguin, B. Brune, J. M. Raimond, and S. Haroche, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/23/5/005 23, 327 (1993).
5. S. L. McCall, A. F. J. Levi, R. E. Slusher, S. J. Pearton, and R. A. Logan, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.106688 60, 289 (1992).
6. B. Gayral, J. M. Gerard, A. Lemaitre, C. Dupuis, L. Manin, and J. L. Pelouard, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.124894 75, 1908 (1999).
7. L. Chantada, N. I. Nikolaev, A. L. Ivanov, P. Borri, and W. Langbein, J. Opt. Soc. Am. B JOBPDE 0740-3224 10.1364/JOSAB.25.001312 25, 1312 (2008).
8. R. Dubertrand, E. Bogomolny, N. Djellali, M. Lebental, and C. Schmit, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.013804 77, 013804 (2008).
9. C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/87/34003 87, 34003 (2009).
10. F. Vollmer and S. Arnold, Nature Methods 1548-7091 10.1038/nmeth.1221 5, 591 (2008). (Pubitemid 351911861)
11. J. Lutti, W. Langbein, and P. Borri, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2998652 93, 151103 (2008).
12. J. Zhu, S. K. Ozdemir, Y. F. Xiao, L. Li, L. N. He, D. R. Chen, and L. Yang, Nature Photon. 1749-4885 10.1038/nphoton.2009.237 4, 46 (2010).
13. T. J. Kippenberg, Nature Photon. 1749-4885 10.1038/nphoton.2009.246 4, 9 (2010).
14. N. Noto, F. Vollmer, D. Keng, I. Teraoka, and S. Arnold, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.000510 30, 510 (2005). (Pubitemid 40339496)
15. F. Vollmer, S. Arnold, D. Braun, I. Teraoka, and A. Libshaber, Biophys. J. BIOJAU 0006-3495 10.1016/S0006-3495(03)74625-6 85, 1974 (2003).
16. F. Vollmer, D. Braun, A. Libchaber, M. Khoshsima, I. Teraoka, and S. Arnold, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1482797 80, 4057 (2002). (Pubitemid 34638139)
17. M. Rosenblit, P. Horak, S. Helsby, and R. Folman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.053808 70, 053808 (2004). (Pubitemid 40073014)
18. S. I. Shopova, R. Rajmangal, S. Holler, and S. Arnold, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.3599584 98, 243104 (2011).
19. L. He, S. K. Özdemir, J. Zhu, W. Kim, and L. Yang, Nature Nanotech. 1748-3387 10.1038/nnano.2011.99 6, 428 (2011).
20. N. C. Frateschi and A. F. J. Levi, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.114233 66, 2932 (1995);
21. N. C. Frateschi and A. F. J. Levi, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.362873 80, 644 (1996).
22. V. Sandoghdar, F. Treussart, J. Hare, V. Lefèvre-Seguin, J.-M. Raimond, and S. Haroche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.R1777 54, R1777 (1996).
23. V. S. Ilchenko and A. B. Matsko, IEEE J. Sel. Top. Quantum Electron. IJSQEN 1077-260X 10.1109/JSTQE.2005.862943 12, 15 (2006). (Pubitemid 43261946)
24. Q. J. Wang, C. Yan, N. Yu, J. Unterhinninghofen, J. Wiersig, C. Pflügl, L. Diehl, T. Edamura, M. Yamanishi, H. Kan, and F. Capasso, Proc. Natl. Acad. Sci. USA PNASA6 0027-8424 10.1073/pnas.1015386107 107, 22407 (2010).
25. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-difference Time-domain Method, 2nd ed. (Artech House, Norwood, MA, 2000).
26. S. C. Hagness, D. Rafizadeh, S. T. Ho, and A. Taflove, J. Lightwave Technol. JLTEDG 0733-8724 10.1109/50.641537 15, 2154 (1997).
27. J. Wiersig, J. Opt. A: Pure Appl. Opt. JOAOF8 1464-4258 10.1088/1464-4258/5/1/308 5, 53 (2003).
28. O. C. Zienkiewicz and R. L. Taylor, The Finite Element Method, 5th ed. (Butterworth Heinemann, London, 2000).
29. B. M. A. Rahman, F. A. Fernandez, and J. B. Davies, Proc. IEEE IEEPAD 0018-9219 10.1109/5.104219 79, 1442 (1991).
30. B. N. Jiang, J. Wu, and L. Povinelli, J. Comp. Phys. JCTPAH 0021-9991 10.1006/jcph.1996.0082 125, 104 (1996). (Pubitemid 126170588)
31. A. V. Boriskin, S. V. Boriskina, A. Rolland, R. Sauleau, and A. I. Nosich, J. Opt. Soc. Am. A 1084-7529 10.1364/JOSAA.25.001169 25, 1169 (2008).
32. E. A. Muljarov, W. Langbein, and R. Zimmermann, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/92/50010 92, 50010 (2010).
33. M. B. Doost, W. Langbein, and E. A. Muljarov, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.023835 85, 023835 (2012).
34. C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/82/34002 82, 34002 (2008).
35. C. P. Dettmann, G. V. Morozov, M. Sieber, and H. Waalkens, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.063813 80, 063813 (2009).
36. M. Neviere, in Electromagnetic Theory of Gratings, edited by, R. Petit, (Springer-Verlag, Berlin, 1980).
37. R. W. Wood, Philos. Mag. 1941-5982 10.1080/14786440209462857 4, 396 (1902).
38. J. W. S. Rayleigh, Philos. Mag. 1941-5982 10.1080/14786440709463661 14, 60 (1907).
39. U. Fano, J. Opt. Soc. Am. JOSAAH 0030-3941 10.1364/JOSA.31.000213 31, 213 (1941).
40. A. Hessel and A. A. Oliner, Appl. Opt. APOPAI 0003-6935 10.1364/AO.4.001275 4, 1275 (1965).
41. A. B. Akimov, N. A. Gippius, and S. G. Tikhodeev, Pis'ma Zh. Eksp. Teor. Fiz. JTPLA2 0021-3640 10.1134/S0021364011080029 93, 473 (2011)
42. A. B. Akimov, N. A. Gippius, and S. G. Tikhodeev, [JETP Lett. 0021-3640 10.1134/S0021364011080029 93, 427 (2011)].
43. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, UK, 1999), p. 423.
44. R. M. More, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.4.1782 4, 1782 (1971).
45. J. Bang and F. A. Gareev, Lett. Nuovo Cimento LNUCAE 0375-930X 10.1007/BF02745237 32, 420 (1981).
46. G. García-Calderón, Lett. Nuovo Cimento LNUCAE 0375-930X 10.1007/BF02725445 33, 253 (1982).
47. P. Lind, Phys. Rev. C PRVCAN 0556-2813 10.1103/PhysRevC.47.1903 47, 1903 (1993).
48. I. S. Gradshtein and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1965).
49. H. Bateman, Higher Transcendental Functions (McGraw-Hill, New York, 1953), Vol. II.