564
V. N. Pustovit and T. V. Shahbazyan
and combining this expression with Eq. (15.103), we obtain the far field Green dyadic
(i.e., kr ≈ 1 and kr √ ∝ 1)
G
s
μν (r, r
√
) = −
˜
α 1
3
1
m=−1
e
ikr
∞ μ Y 1m (ˆ r)
ψ
ν∗
1m (r
√
),
(15.108)
where we set l = 1.
References
1. R.H. Dicke, Phys. Rev. 93, 99 (1954)
2. M. Gross, S. Haroche, Phys. Rep. 93, 301 (1982)
3. A.V. Andreev, V.I. Emel’yanov, Y.A. Il’inskii, Cooperative Effects in Optics (IOP Publishing,
London, 1993)
4. T. Brandes, Phys. Rep. 408, 315 (2005)
5. R.G. DeVoe, R.G. Brewer, Phys. Rev. Lett. 76, 2049 (1996)
6. M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, D. Hommel, Nat.
Phys. 3, 106 (2007)
7. F.C. Spano, S. Mukamel, J. Chem. Phys. 91, 683 (1989)
8. T.V. Shahbazyan, M.E. Raikh, Z.V. Vardeny, Phys. Rev. B 61, 13266 (2000)
9. T.V. Shahbazyan, M.E. Raikh, Phys. Rev. B 49, 17123 (1994)
10. T.V. Shahbazyan, S.E. Ulloa, Phys. Rev. B 57, 6642 (1998)
11. T. Brandes, B. Kramer, Phys. Rev. Lett. 83, 3021 (1999)
12. V.N. Pustovit, T.V. Shahbazyan, Phys. Rev. Lett. 102, 077401 (2009)
13. V.N. Pustovit, T.V. Shahbazyan, Phys. Rev. B 82, 075429 (2010)
14. R.R. Chance, A. Prock, R. Silbey, Adv. Chem. Phys. 37, 1 (1978)
15. B.N.J. Persson, N.D. Lang, Phys. Rev. B 26, 5409 (1982)
16. I.A. Larkin, M.I. Stockman, M. Achermann, V.I. Klimov, Phys. Rev. B 69, 121403(R) (2004)
17. V.N. Pustovit, T.V. Shahbazyan, J. Chem. Phys. 136, 204701 (2012)
18. M. Moskovits, Rev. Mod. Phys. 57, 783 (1985)
19. E. Dulkeith, A.C. Morteani, T. Niedereichholz, T.A. Klar, J. Feldmann, S.A. Levi, F.C.J.M.
van Veggel, D.N. Reinhoudt, M. Moller, D.I. Gittins, Phys. Rev. Lett. 89, 203002 (2002)
20. E. Dulkeith, M. Ringler, T.A. Klar, J. Feldmann, A.M. Javier, W.J. Parak, Nano Lett. 5, 585
(2005)
21. P. Anger, P. Bharadwaj, L. Novotny, Phys. Rev. Lett. 96, 113002 (2006)
22. S. Kühn, U. Hakanson, L. Rogobete, V. Sandoghdar, Phys. Rev. Lett. 97, 017402 (2006)
23. F. Tam, G.P. Goodrich, B.R. Johnson, N.J. Halas, Nano Lett. 7, 496 (2007)
24. J. Gersten, A. Nitzan, J. Chem. Phys. 75, 1139 (1981)
25. R. Ruppin, J. Chem. Phys. 76, 1681 (1982)
26. A. Pineda, D.J. Ronis, J. Chem. Phys. 83, 5330 (1985)
27. H. Chew, J. Chem. Phys. 87, 1355 (1987)
28. J. Seelig, K. Leslie, A. Renn, S. Kluhn, V. Jacobsen, M. van de Corput, C. Wyman, V. Sandoghdar, Nano Lett. 7, 685 (2007)
29. M. Durach, A. Rusina, V.I. Klimov, M.I. Stockman, New J. Phys. 10, 105011 (2008)
30. L.N. Tripathi, M. Praveena, J.K. Basu, Plasmonics 8, 657 (2013)
31. D. Martin-Cano, L. Martin-Moreno, F.J. Garcia-Vidal, E. Moreno, Nano Lett. 10, 3129 (2010)
32. S.A. Guebrou, C. Symonds, E. Homeyer, J.C. Plenet, YuN Gartstein, V.M. Agranovich, J.
Bellessa, Phys. Rev. Lett. 108, 066401 (2012)
V. N. Pustovit and T. V. Shahbazyan
and combining this expression with Eq. (15.103), we obtain the far field Green dyadic
(i.e., kr ≈ 1 and kr √ ∝ 1)
G
s
μν (r, r
√
) = −
˜
α 1
3
1
m=−1
e
ikr
∞ μ Y 1m (ˆ r)
ψ
ν∗
1m (r
√
),
(15.108)
where we set l = 1.
References
1. R.H. Dicke, Phys. Rev. 93, 99 (1954)
2. M. Gross, S. Haroche, Phys. Rep. 93, 301 (1982)
3. A.V. Andreev, V.I. Emel’yanov, Y.A. Il’inskii, Cooperative Effects in Optics (IOP Publishing,
London, 1993)
4. T. Brandes, Phys. Rep. 408, 315 (2005)
5. R.G. DeVoe, R.G. Brewer, Phys. Rev. Lett. 76, 2049 (1996)
6. M. Scheibner, T. Schmidt, L. Worschech, A. Forchel, G. Bacher, T. Passow, D. Hommel, Nat.
Phys. 3, 106 (2007)
7. F.C. Spano, S. Mukamel, J. Chem. Phys. 91, 683 (1989)
8. T.V. Shahbazyan, M.E. Raikh, Z.V. Vardeny, Phys. Rev. B 61, 13266 (2000)
9. T.V. Shahbazyan, M.E. Raikh, Phys. Rev. B 49, 17123 (1994)
10. T.V. Shahbazyan, S.E. Ulloa, Phys. Rev. B 57, 6642 (1998)
11. T. Brandes, B. Kramer, Phys. Rev. Lett. 83, 3021 (1999)
12. V.N. Pustovit, T.V. Shahbazyan, Phys. Rev. Lett. 102, 077401 (2009)
13. V.N. Pustovit, T.V. Shahbazyan, Phys. Rev. B 82, 075429 (2010)
14. R.R. Chance, A. Prock, R. Silbey, Adv. Chem. Phys. 37, 1 (1978)
15. B.N.J. Persson, N.D. Lang, Phys. Rev. B 26, 5409 (1982)
16. I.A. Larkin, M.I. Stockman, M. Achermann, V.I. Klimov, Phys. Rev. B 69, 121403(R) (2004)
17. V.N. Pustovit, T.V. Shahbazyan, J. Chem. Phys. 136, 204701 (2012)
18. M. Moskovits, Rev. Mod. Phys. 57, 783 (1985)
19. E. Dulkeith, A.C. Morteani, T. Niedereichholz, T.A. Klar, J. Feldmann, S.A. Levi, F.C.J.M.
van Veggel, D.N. Reinhoudt, M. Moller, D.I. Gittins, Phys. Rev. Lett. 89, 203002 (2002)
20. E. Dulkeith, M. Ringler, T.A. Klar, J. Feldmann, A.M. Javier, W.J. Parak, Nano Lett. 5, 585
(2005)
21. P. Anger, P. Bharadwaj, L. Novotny, Phys. Rev. Lett. 96, 113002 (2006)
22. S. Kühn, U. Hakanson, L. Rogobete, V. Sandoghdar, Phys. Rev. Lett. 97, 017402 (2006)
23. F. Tam, G.P. Goodrich, B.R. Johnson, N.J. Halas, Nano Lett. 7, 496 (2007)
24. J. Gersten, A. Nitzan, J. Chem. Phys. 75, 1139 (1981)
25. R. Ruppin, J. Chem. Phys. 76, 1681 (1982)
26. A. Pineda, D.J. Ronis, J. Chem. Phys. 83, 5330 (1985)
27. H. Chew, J. Chem. Phys. 87, 1355 (1987)
28. J. Seelig, K. Leslie, A. Renn, S. Kluhn, V. Jacobsen, M. van de Corput, C. Wyman, V. Sandoghdar, Nano Lett. 7, 685 (2007)
29. M. Durach, A. Rusina, V.I. Klimov, M.I. Stockman, New J. Phys. 10, 105011 (2008)
30. L.N. Tripathi, M. Praveena, J.K. Basu, Plasmonics 8, 657 (2013)
31. D. Martin-Cano, L. Martin-Moreno, F.J. Garcia-Vidal, E. Moreno, Nano Lett. 10, 3129 (2010)
32. S.A. Guebrou, C. Symonds, E. Homeyer, J.C. Plenet, YuN Gartstein, V.M. Agranovich, J.
Bellessa, Phys. Rev. Lett. 108, 066401 (2012)