Effective boundary conditions for planar quantum dot structures

Physical Review B - Condensed Matter and Materials Physics

Volumn 64, Issue 12, 2001, Pages

  Bimberg, D ^a   Slepyan, G Ya ^a   Kalosha, V P ^a   Maksimenko, S A ^a   Hoffmann, A ^b  

^a INSTITUTE FOR NUCLEAR PROBLEMS   (Belarus)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85038894447     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.64.125326     Document Type: Article

References (46)

1. R. Dingle and C H. Henry, U.S. Patent No. 3982207 (21 September 1976).
2. Y. Arakawa, H. Sakaki, Appl. Phys. Lett.40, 939 (1982).
3. M. Asada, Y. Miyamoto, and Y. Suematsu, IEEE J. Quantum Electron.22, 1915 (1986).
4. N N. Ledentsov, J. Bohrer, D. Bimberg, I V. Kochnev, M V. Maximov, P S. Kop’ev, Zh.I. Alferov, A O. Kosogov, S S. Ruvimov, and P. Werner, Appl. Phys. Lett.69, 1095 (1996).
5. D. Bimberg, M. Grundmann, N N. Ledentsov, Quantum Dot Heterostructures (Wiley, Chichester, 1999).
6. Selected Papers on Linear Optical Composite Materials, edited by A. Lakhtakia (SPIE Optical Engineering Press, Bellingham, WA, 1996).
7. G.Ya. Slepyan, S A. Maksimenko, V P. Kalosha, N N. Ledentsov, D. Bimberg, and Zh.I. Alferov, Phys. Rev. B59, 1275 (1999).
8. S A. Maksimenko, G.Ya. Slepyan, V P. Kalosha, S V. Maly, N N. Ledentsov, J. Herrmann, A. Hoffmann, D. Bimberg, and Zh.I. Alferov, J. Electron. Mater.29, 494 (2000).
9. L A. Weinstein, The Theory of Diffraction and the Factorization Method (Golem, New York, 1969).
10. A. S. Ilyinsky, G. Ya. Slepyan, and A. Ya. Slepyan, Propagation, Scattering and Dissipation of Electromagnetic waves (Peter Peregrinus, London, 1993).
11. D J. Hoppe and Y. Rahmat-Samii, Impedance Boundary Conditions in Electromagnetics (Taylor & Francis, Washington, 1995).
12. R. Atanasov, F. Bassani, and V M. Agranovich, Phys. Rev. B49, 2658 (1994).
13. M. Zaluzny and C. Nalewajko, Phys. Rev. B59, 13 043 (1999).
14. G.Ya. Slepyan, S A. Maksimenko, A. Lakhtakia, O M. Yevtushenko, and A V. Gusakov, Phys. Rev. B57, 9485 (1998).
15. G.Ya. SlepyanS A. Maksimenko, A. Lakhtakia, O M. Yevtushenko, and A V. Gusakov, Phys. Rev. B60, 17 136 (1999).
16. S. A. Maksimenko and G. Ya. Slepyan, in Electromagnetic Fields in Unconventional Structures and Materials, edited by O.N. Singh and A. Lakhtakia, (Wiley, Inc., New York, 2000), p. 217.
17. V A. Shubin, A K. Sarychev, J P. Clerc, and V M. Shalaev, Phys. Rev. B62, 11 230 (2000).
18. G. Ya. Slepyan and S. A. Maksimenko, in Proceedings of the 8th International Conference on Electromagnetics of Complex Media, Bianisotropic’2000, edited by A. M. Barbosa and A. L. Topa (Instituto Superior Téchnico, Lisbon, 2000), p. 175.
19. C R. Simovski, M. Popov, and S. He, Phys. Rev. B62, 13 718 (2000).
20. Standard representation of the single-layer potential is as follows: (formula presented), where (formula presented) is an arbitrary function and (formula presented). The function (formula presented) and its derivatives tangential to S are continuous on the surface while its normal derivative has discontinuety: (formula presented). For details see, e.g., G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers (McGraw-Hill New York, 1968), Chap. 15.6.
21. (a) S A. MaksimenkoG.Ya. Slepyan, N N. Ledentsov, V P. Kalosha, A. Hoffmann, and D. Bimberg, Semicond. Sci. Technol.15, 491 (2000);
22. (b) S A. Maksimenko, G.Ya. Slepyan, V P. Kalosha, N N. Ledentsov, A. Hoffmann, and D. Bimberg, Mater. Sci. Eng., BB82, 215 (2001).
23. S. Schmitt-Rink, D A B. Miller, and D S. Chemla, Phys. Rev. B35, 8113 (1987).
24. B. Hanewinkel, A. Knorr, P. Thomas, and S W. Koch, Phys. Rev. B55, 13 715 (1997).
25. N. A. Khiznjak, Integral Equations of Macroscopic Electrodynamics (Naukova Dumka, Kiev, 1986) (in Russian).
26. V. Savona, Z. Hradil, A. Quatropani, and P. Schwendimann, Phys. Rev. B49, 8774 (1994).
27. S. Pau, G. Bjork, J. Jacobson, H. Cao, and Y. Yamomoto, Phys. Rev. B51, 14 437 (1995).
28. M S. Skolnik, T A. Fisher, and D M. Whittaker, Semicond. Sci. Technol.13, 645 (1998).
29. G. Pansarini, L C. Andreani, A. Armitage, D. Baxter, M S. Skolnik, V N. Astratov, J S. Roberts, A V. Kavokin, M R. Vladimirova, and M A. Kalitievskii, Phys. Rev. B59, 5082 (1999).
30. E L. Ivchenko, Y. Fu, and M. Villander, Fiz. Tverd. Tela 34, 1815 (2000) [Phys. Solid State42, 168 (2000)];
31. Y. Fu, M. Villander, and E L. Ivchenko, Superlattices Microstruct.27, 255 (2000).
32. R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience, New York, 1966), Vol. 1.
33. This relation was presented for the first time in Ref. 21(a), however, with incorrect degree of (formula presented); it is corrected in Ref. 21(b).
34. E L. Ivchenko, A V. Kavokin, Sov. Phys. Solid State34, 968 (1992).
35. E. Hanamura, Phys. Rev. B38, 1228 (1988).
36. R C. Iotti and L C. Andreani, Phys. Rev. B56, 3922 (1997).
37. E I. Rashba and G E. Gurgenishvili, Fiz. Tverd. Tela 4, 1029 (1962) [Sov. Phys. Solid State4, 759 (1962);
38. C H. Henry and K. Nassau, Phys. Rev. B1, 1628 (1970).
39. J C. Light, I P. Hamilton, and J V. Lill, J. Chem. Phys.82, 1400 (1985).
40. D T. Colbert and W H. Miller, J. Chem. Phys.96, 1982 (1992).
41. O. Stier, M. Grundmann, and D Bimberg, Phys. Rev. B59, 5688 (2000).
42. G. Bryant, Phys. Rev. B37, 8763 (1988).
43. W. Que, Phys. Rev. B45, 11 036 (1992).
44. Al.L. Éfros and A L. Éfros, Fiz. Tech. Poluprovodn. 16, 1209 (1982) [Sov. Phys. Semicond.16, 772 (1982)].
45. P C. Chaumet and M. Nieto-Vesperinas, Phys. Rev. B62, 11 185 (2000).
46. M J. Adams, An Introduction to Optical Waveguides (New York, New York, 1981).