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Cited by 295

The DOI matches its Crossref record; 34 of the 34 references it cites were found in a registry or an index.

Calculation of second-order optical response in semiconductors

Hughes, James L. P., Sipe, J. E.·1996·Physical Review B
DOI 10.1103/physrevb.53.10751
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Abstract

We present a first-principles calculation of two second-order optical response functions as well as the dielectric function for GaAs and GaP. Specifically, we evaluate the dielectric function \ensuremath{\epsilon}(\ensuremath{\omega}) and the second-harmonic generation response coefficient ${\mathrm{\ensuremath{\chi}}}^{(2)}$(-2\ensuremath{\omega};\ensuremath{\omega},\ensuremath{\omega}) over a large frequency range. The electronic linear electro-optic susceptibility ${\mathrm{\ensuremath{\chi}}}^{(2)}$(-\ensuremath{\omega};\ensuremath{\omega},0) is also evaluated below the band gap. These results are based on a series of self-consistent LDA calculations using the full-potential linearized augmented plane wave method. Self-energy corrections are included at the level of the ``scissors'' approximation, which corrects for the underestimation of the local density approximation band gap and produces a change in the velocity matrix elements. The analytic expressions for the second-order response functions are free of the unphysically divergent terms at zero frequency that have previously plagued such calculations. Results for ${\mathrm{\ensuremath{\chi}}}^{(2)}$(-\ensuremath{\omega};\ensuremath{\omega},0) are in good agreement with experiment below the band gap and those for ${\mathrm{\ensuremath{\chi}}}^{(2)}$(-2\ensuremath{\omega};\ensuremath{\omega},\ensuremath{\omega}) are compared with experimental data where available. We note that despite the equivalence of both of these second-order response functions at zero frequency, there seems to be some discrepancy between the experimental results for these functions in this regime. \textcopyright{} 1996 The American Physical Society.

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Citations

Cites

Research works printed but not linked: 41

  1. C. S. Wang, 1981, Phys. Rev. B, 24, 3417, 10.1103/PhysRevB.24.3417 · doi:10.1103/physrevb.24.3417
  2. D. J. Moss, 1986, Phys. Rev. B, 34, 8758, 10.1103/PhysRevB.34.8758 · doi:10.1103/physrevb.34.8758
  3. S. Adachi, 1987, Phys. Rev. B, 35, 7454, 10.1103/PhysRevB.35.7454 · doi:10.1103/physrevb.35.7454
  4. M. Alouani, 1988, Phys. Rev. B, 37, 1167, 10.1103/PhysRevB.37.1167 · doi:10.1103/physrevb.37.1167
  5. G. E. Engel, 1992, Phys. Rev. B, 46, 15t812, 10.1103/PhysRevB.46.15812 · doi:10.1103/physrevb.46.15812
  6. S. Adachi, 1992, J. Appl. Phys., 72, 3702, 10.1063/1.352365 · doi:10.1063/1.352365
  7. C. Y. Fong, 1975, Phys. Rev. B, 12, 2325, 10.1103/PhysRevB.12.2325 · doi:10.1103/physrevb.12.2325
  8. H.-R. Ma, 1991, Opt. Commun., 85, 437, 10.1016/0030-4018(91)90578-2 · doi:10.1016/0030-4018(91)90578-2
  9. M. M. Choy, 1975, IEEE J. Quantum Electron., 11, 40, 10.1109/JQE.1975.1068515 · doi:10.1109/jqe.1975.1068515
  10. Z. H. Levine, 1991, Phys. Rev. Lett., 66, 41, 10.1103/PhysRevLett.66.41 · DOI
  11. Z. H. Levine, 1991, Phys. Rev. B, 44, 12t781, 10.1103/PhysRevB.44.12781 · doi:10.1103/physrevb.44.12781
  12. M.-Z. Huang, 1992, Phys. Rev. B, 45, 8738, 10.1103/PhysRevB.45.8738 · doi:10.1103/physrevb.45.8738
  13. M.-Z. Huang, 1993, Phys. Rev. B, 47, 9464, 10.1103/PhysRevB.47.9464 · doi:10.1103/physrevb.47.9464
  14. W. Y. Ching, 1993, Phys. Rev. B, 47, 9479, 10.1103/PhysRevB.47.9479 · doi:10.1103/physrevb.47.9479
  15. D. J. Moss, 1987, Phys. Rev. B, 36, 9708, 10.1103/PhysRevB.36.9708 · doi:10.1103/physrevb.36.9708
  16. E. Ghahramani, 1991, Phys. Rev. B, 43, 9700, 10.1103/PhysRevB.43.9700 · doi:10.1103/physrevb.43.9700
  17. D. J. Moss, 1991, Phys. Status Solidi B, 164, 587, 10.1002/pssb.2221640228 · doi:10.1002/pssb.2221640228
  18. A. Dal Corso, 1994, Phys. Rev. B, 50, 5756, 10.1103/PhysRevB.50.5756 · doi:10.1103/physrevb.50.5756
  19. H. Krakauer, 1979, Phys. Rev. B, 19, 1706, 10.1103/PhysRevB.19.1706 · doi:10.1103/physrevb.19.1706
  20. R. W. Boyd, 1992, Nonlinear Optics
  21. S. J. Jenkins, 1993, Phys. Rev. B, 48, 4388, 10.1103/PhysRevB.48.4388 · doi:10.1103/physrevb.48.4388
  22. J. Chen, 1994, Phys. Rev. B, 50, 11t514, 10.1103/PhysRevB.50.11514 · doi:10.1103/physrevb.50.11514
  23. C. Flytzanis, 1975, Quantum Electronics
  24. J. Rath, 1975, Phys. Rev. B, 11, 2109, 10.1103/PhysRevB.11.2109 · doi:10.1103/physrevb.11.2109
  25. D. J. Moss, 1987, Phys. Rev. B, 36, 1153, 10.1103/PhysRevB.36.1153 · doi:10.1103/physrevb.36.1153
  26. A. Borghesi, 1985, Handbook of Optical Constants of Solids
  27. B. F. Levine, 1972, Appl. Phys. Lett., 20, 272, 10.1063/1.1654145 · doi:10.1063/1.1654145
  28. I. P. Kaminow, 1971, Handbook of Lasers
  29. F. G. Parsons, 1971, Opt. Commun., 3, 173, 10.1016/0030-4018(71)90173-8 · doi:10.1016/0030-4018(71)90173-8
  30. D. Bethune, 1975, Phys. Rev. B, 11, 3867, 10.1103/PhysRevB.11.3867 · doi:10.1103/physrevb.11.3867
  31. R. K. Chang, 1965, Phys. Rev. Lett., 15, 415, 10.1103/PhysRevLett.15.415 · doi:10.1103/physrevlett.15.415
  32. C. A. Berseth, 1992, J. Appl. Phys., 71, 2821, 10.1063/1.351011 · doi:10.1063/1.351011
  33. Y. V. Shaldin, 1976, Sov. J. Quantum Electron., 6, 897, 10.1070/QE1976v006n08ABEH011742 · doi:10.1070/qe1976v006n08abeh011742
  34. T. E. Walsh, 1966, RCA Rev., 27, 323
  35. N. Suzuki, 1984, Jpn. J. Appl. Phys., 23, 291, 10.1143/JJAP.23.291 · doi:10.1143/jjap.23.291
  36. N. Suzuki, 1984, Jpn. J. Appl. Phys., 23, 1011, 10.1143/JJAP.23.1011 · doi:10.1143/jjap.23.1011
  37. J. Faist, 1990, J. Appl. Phys., 67, 7006, 10.1063/1.345046 · doi:10.1063/1.345046
  38. M. Sugie, 1976, Jpn. J. Appl. Phys., 15, 421, 10.1143/JJAP.15.421 · doi:10.1143/jjap.15.421
  39. A. Yariv, 1966, IEEE J. Quantum Electron., 2, 243, 10.1109/JQE.1966.1074037 · doi:10.1109/jqe.1966.1074037
  40. I. P. Kaminow, 1968, IEEE J. Quantum Electron., 4, 23, 10.1109/JQE.1968.1074913 · doi:10.1109/jqe.1968.1074913
  41. G. L. Herrit, 1989, Optical Materials: Processing and Science

Cited by

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Metadata

Authors
Hughes, J. L. P., & Sipe, J. E.
Venue
Physical Review B
Publisher
American Physical Society (APS)
Published
1996-04-15
Volume
53
Issue
16
Pages
10751-10763
ISSN
  • 0163-1829 (ISSN-L)
  • 1095-3795
DOI
10.1103/physrevb.53.10751
OpenAlex
W2055222955
Cited by
295
References
34
FWCI
3.48
Type
journal article
Language
en
Open access
closed
Licence
link.aps.org/licenses/aps-default-license (vor)

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