Probing the photonic local density of states with electron energy loss spectroscopy

Physical Review Letters

Volumn 100, Issue 10, 2008, Pages

  Garcia De Abajo F J ^a   Kociak, M ^b  

^a INSTITUTO DE ÓPTICA   (Spain)

^b UNIVERSITÉ PARIS SUD   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON ENERGY LOSS SPECTROSCOPY; OPTICAL PROPERTIES; TRANSMISSION ELECTRON MICROSCOPY;

NANOPHOTONICS; PHOTONIC STRUCTURES; QUASIPLANAR PLASMONIC STRUCTURES;

ELECTRONIC DENSITY OF STATES;

EID: 40849098617     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.106804     Document Type: Article

References (22)

1. C. Burda, X. Chen, R. Narayanan, and M.A. El-Sayed, Chem. Rev. 105, 1025 (2005). CHREAY 0009-2665 10.1021/cr030063a
2. W.L. Barnes, A. Dereux, and T.W. Ebbesen, Nature (London) NATUAS 0028-0836 424, 824 (2003). 10.1038/nature01937
3. J. Nelayah, Nature Phys. NPAHAX 1745-2481 3, 348 (2007). 10.1038/nphys575
4. P.E. Batson, N. Dellby, and O.L. Krivanek, Nature (London) NATUAS 0028-0836 418, 617 (2002). 10.1038/nature00972
5. A. Howie and R.H. Milne, Ultramicroscopy 18, 427 (1985). ULTRD6 0304-3991 10.1016/0304-3991(85)90161-5
6. D. Ugarte, C. Colliex, and P. Trebbia, Phys. Rev. B PRBMDO 0163-1829 45, 4332 (1992). 10.1103/PhysRevB.45.4332
7. C.H. Chen and J. Silcox, Phys. Rev. Lett. 35, 390 (1975). PRLTAO 0031-9007 10.1103/PhysRevLett.35.390
8. D.W. McComb and A. Howie, Nucl. Instrum. Methods Phys. Res., Sect. B NIMBEU 0168-583X 96, 569 (1995). 10.1016/0168-583X(95)00237-5
9. O. Stéphan, Phys. Rev. B PRBMDO 0163-1829 66, 155422 (2002). 10.1103/PhysRevB.66.155422
10. A. Rivacoba, N. Zabala, and J. Aizpurua, Prog. Surf. Sci. 65, 1 (2000). PSSFBP 0079-6816 10.1016/S0079-6816(00)00005-8
11. F.J. García de Abajo, Phys. Rev. Lett. 91, 143902 (2003). PRLTAO 0031-9007 10.1103/PhysRevLett.91.143902
12. There is a univocal correspondence between the spatially dependent local dielectric function and the Green tensor that works frequency by frequency, as can be clearly deduced upon inspection of Eq. 2. Furthermore, the photonic LDOS is directly obtained from the Green tensor following Eq. 3. The inverse relation is less direct, although one can extend the equivalent of Hohenberg-Konh theorem [see P. Hohenberg and W. Kohn, Phys. Rev. 136, B864 (1964)] to light, thus asserting that there is a univocal correspondence between dielectric functions and LDOS, with both quantities defined within a finite frequency range above ω=0 (i.e., the correspondence is not local in frequency). PHRVAO 0031-899X 10.1103/PhysRev.136.B864
13. D.P. Fussell, R.C. McPhedran, and C. Martijn de Sterke, Phys. Rev. A 71, 013815 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.013815
14. G. Colas des Francs, Phys. Rev. Lett. 86, 4950 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.4950
15. G. D'Aguanno, Phys. Rev. E 69, 057601 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.69.057601
16. S.M. Barnett and R. Loudon, Phys. Rev. Lett. 77, 2444 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.2444
17. D.P. Fussell, R.C. McPhedran, and C. Martijn de Sterke, Phys. Rev. E 70, 066608 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.066608
18. K. Joulain, R. Carminati, J.P. Mulet, and J.J. Greffet, Phys. Rev. B PRBMDO 0163-1829 68, 245405 (2003). 10.1103/PhysRevB.68.245405
19. R.H. Ritchie, Phys. Rev. 106, 874 (1957). PHRVAO 0031-899X 10.1103/PhysRev.106.874
20. F.J. García de Abajo and A. Howie, Phys. Rev. B PRBMDO 0163-1829 65, 115418 (2002); 10.1103/PhysRevB.65.115418
21. F.J. García de Abajo A. Howie Phys. Rev. Lett. PRLTAO 0031-9007 80, 5180 (1998). 10.1103/PhysRevLett.80.5180
22. L. Van Hove, Phys. Rev. 89, 1189 (1953). PHRVAO 0031-899X 10.1103/PhysRev.89.1189