content_image/429110.jpg content_image/429111.jpg content_image/429109.jpg
This expression can be further simplified by substituting ˜ α$_{l}$ = ¯ α$_{l}$ + is$_{l}$k 2 l $^{+1}$| ˜ α$_{l}$ | $^{2}$, where ¯ α$_{l}$ = α$_{l}$ | 1 − is$_{l}$k 2 l $^{+1}$α$_{l}$ | − $^{2}$, and keeping the first two powers of k 

<img src='content_image/429110.jpg'>

which, after adding the free-space part of the Green dyadic and neglecting plasmon radiative decay, leads to Eq. (12). 

1 R. H. Dicke, Phys. Rev. 93 , 99 (1954). 2 

M. Gross and S. Haroche, Phys. Rep. 93 , 301 (1982). 3 

A. V. Andreev, V. I. Emel’yanov, and Yu. A. Il’inskii, Co- operative Effects in Optics (IOP Publishing, 1993). 4 

T. Brandes, Phys. Rep. 408 , 315 (2005). 5 

R.G. DeVoe and R.G. Brewer, Phys. Rev. Lett. 76 , 2049 (1996). 6 

M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, and D. Hommel, Nature Phys. 3 , 106 (2007). 7 

T.V. Shahbazyan, M.E. Raikh, Phys. Rev. B 49, 17123 (1994). 8 

T. V. Shahbazyan and S. E. Ulloa, Phys. Rev. B 57 , 6642 (1998). 9 

T. Brandes and B. Kramer, Phys. Rev. Lett. 83 , 3021 (1999). 10 

V. N. Pustovit and T. V. Shahbazyan, Phys. Rev. Lett. 102 , 077401 (2009). 11 

R. R. Chance, A. Prock, and R. Silbey, Adv. Chem. Phys. 37 , 1 (1978). 12 

B. N. J. Persson and N. D. Lang, Phys. Rev. B 26 , 5409 (1982). 13 

I. A. Larkin, M. I. Stockman, M. Achermann, and V. I. Klimov, Phys. Rev. B 69 , 121403(R) (2004). 14 

M. Moskovits, Rev. Mod. Phys. 57 , 783 (1985). 15 

E. Dulkeith, A. C. Morteani, T. Niedereichholz, T. A. Klar, J. Feldmann, S. A. Levi, F. C. J. M.. van Veggel, D. N. 

For kr ≫ 1, with help of Eqs. (51), (59), and (60), we easily obtain 

and combining this expression with Eq. (62), we obtain the far field Green dyadic (i.e., kr ≫ 1 and kr ′ ≪ 1) 

<img src='content_image/429111.jpg'>

where we set l = 1. 

Reinhoudt, M. Moller, and D. I. Gittins, Phys. Rev. Lett. 89 , 203002 (2002). 

16 E. Dulkeith, M. Ringler, T. A. Klar, J. Feldmann, A. M. Javier, and W. J. Parak, Nano Lett. 5 , 585 (2005). 17 

P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96 , 113002 (2006). 18 

S. K¨ uhn, U. Hakanson, L. Rogobete, and V. Sandoghdar, Phys. Rev. Lett. 97 , 017402 (2006). 19 

F. Tam, G. P. Goodrich, B. R. Johnson, and N. J. Halas, Nano Lett. 7 , 496 (2007). 20 

J. Gersten and A. Nitzan, J. Chem. Phys. 75 , 1139 (1981). 21 

R. Ruppin, J. Chem. Phys. 76 , 1681 (1982). 22 

A. Pineda and D. J. Ronis, J. Chem. Phys. 83 , 5330 (1985) 23 

H. Chew, J. Chem. Phys. 87 , 1355 (1987). 24 

F. C. Spano and S. Mukamel, J. Chem. Phys. 91 , 683 (1989) 25 

T. V. Shahbazyan, M. E. Raikh, and Z. V. Vardeny, Phys. Rev. B 61 , 13266 (2000). 26 

M. I. Stockman, Phys. Rev. Lett. 79 , 4562 (1997). 27 

J. Seelig, K. Leslie, A. Renn, S. K1uhn, V. Jacobsen, M. van de Corput, C. Wyman, and V. Sandoghdar, Nano Lett. 7 , 685 (2007). 28 

M. Durach, A. Rusina, V. I. Klimov, and M. I. Stockman, New J. Phys. 10 , 105011 (2008). 29 

L. Novotny, Principles of Nano-Optics , (Cambridge Uni- versity Press, 2006). 

<img src='content_image/429109.jpg'>

