Analysis of a special model for a grating coupler

Physical Review B - Condensed Matter and Materials Physics

Volumn 62, Issue 4, 2000, Pages 2721-2730

  Schaich, W ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 7544229238     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.62.2721     Document Type: Article

References (47)

1. J. P. Kotthaus, in Interfaces, Quantum Wells, and Superlattices, edited by C. R. Leavens and R. Taylor (Plenum, New York, 1988), p. 95.
2. For a sketch of the geometry see L. Zheng, W. L. Schaich, and A. H. MacDonald, Phys. Rev. B 41, 8493 (1990).
3. V. B. Shikin, T. Demel, and D. Heitmann, Zh. Éksp. Teor. Fiz. 96, 1406 (1989) [Sov. Phys. JETP 69, 797 (1989)].
4. W. L. Schaich, M. R. Geller, and G. Vignale, Phys. Rev. B 53, 13 016 (1996).
5. T. Larson, IRE Trans. Microwave Theory Tech. MTT-10, 191 (1962).
6. Electromagnetic Theory of Gratings, edited by R. Petit (Springer, New York, 1980).
7. P. Sheng, R. S. Stepleman, and P. N. Sanda, Phys. Rev. B 26, 2907 (1982).
8. R. C. Hall and R. Mittra, IEEE Trans. Antennas Propag. AP-33, 1009 (1985).
9. L. Zheng and W. L. Schaich, Phys. Rev. B 43, 4515 (1991).
10. C. D. Ager and H. P. Hughes, Phys. Rev. B 44, 13 452 (1991).
11. C. D. Ager, R. J. Wilkinson, and H. P. Hughes, J. Appl. Phys. 71, 1322 (1992).
12. E. G. Loewen and E. Popov, Diffraction Gratings and Applications (Dekker, New York, 1997).
13. G. Wendler and T. Kraft, Physica B 271, 33 (1999).
14. S. A. Mikhailov, Phys. Rev. B 54, 10 335 (1996).
15. S. A. Mikhailov, Phys. Rev. B 54, 14 293 (1996).
16. S. A. Mikhailov and N. A. Savostianova, Appl. Phys. Lett. 71, 1308 (1997).
17. S. A. Mikhailov, Phys. Rev. B 58, 1517 (1998).
18. S. A. Mikhailov, Recent Res. Devel. Applied Phys. 2, 65 (1999).
19. J. Korringa, I. H. Lin, and R. L. Mills, Am. J. Phys. 46, 517 (1978).
20. A. Erdelyi, Tables of Integral Transforms (McGraw-Hill, New York, 1954), Vol. 2.
21. A. Erdelyi, Tables of Integral Transforms (McGraw-Hill, New York, 1954), Vol. 1.
22. S. Mikhailov (private communication).
23. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, San Diego, 1981).
24. J. Dempsey and B. I. Halperin, Phys. Rev. B 45, 1719 (1992).
25. Phys. Rev. BJ. DempseyB. I. Halperin45, 3902 (1992).
26. Phys. Rev. BJ. DempseyB. I. Halperin47, 4662 (1993).
27. Phys. Rev. BJ. DempseyB. I. Halperin47, 4674 (1993).
28. E. Zaremba and H. C. Tso, Phys. Rev. B 49, 8147 (1994).
29. Phys. Rev. BZ. L. Ye and E. Zaremba, 50, 17 217 (1994).
30. V. Shikin, Zh. Éksp. Teor. Fiz. 95, 1513 (1989) [Sov. Phys. JETP 68, 873 (1989)];
31. S. S. Nazin and V. Shikin, Fiz. Nizk. Temp. 15, 227 (1989) [Sov. J. Low Temp. Phys. 15, 127 (1989)];
32. V. Shikin, S. Nazin, D. Heitmann, and T. Demel, Phys. Rev. B 43, 11 903 (1991).
33. S. Nazin, K. Tevosyan, and V. Shikin, Surf. Sci. 263, 351 (1992).
34. V. Shikin, T. Demel, and D. Heitmann, Phys. Rev. B 46, 3971 (1992).
35. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. A. Stegun (U.S. GPO, Washington, DC, 1965).
36. G. N. Watson, A Treatise on the Theory of Bessel Functions (The University Press, Cambridge, 1958), p. 404.
37. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes: The Art of Scientific Computing (Cambridge University Press, New York, 1989).
38. H. Lamb, Proc. London Math. Soc. 29, 523 (1898).
39. W. Schaich (unpublished).
40. M. G. Moharan, E. B. Grann, D. A. Pommet, and T. K. Gaylord, J. Opt. Soc. Am. A 12, 1068 (1995).
41. L. Li and C. W. Haggens, J. Opt. Soc. Am. A 10, 1184 (1993).
42. P. Lalanne and G. M. Morris, J. Opt. Soc. Am. A 13, 779 (1996).
43. G. Granet and B. Guizal, J. Opt. Soc. Am. A 13, 1019 (1996).
44. P. Lalanne, J. Opt. Soc. Am. A 14, 1583 (1997).
45. L. Li, J. Opt. Soc. Am. A 13, 1870 (1996).
46. G. Granet, J. Opt. Soc. Am. A 16, 2510 (1999).
47. For an analysis of the complications caused by inhomogeneity see, W. L. Schaich, P. W. Park, and A. H. MacDonald, Phys. Rev. B 46, 12 643 (1992).