- Physical Review Journals
All JournalsPhysics Magazine
All JournalsPhysics Magazine
Access Provided by Xinjiang University

Physical Review Journals Archive

Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Influence of Resonant and Foreign Gas Collisions on Line Shapes

P. R. Berman* and Willis E. Lamb, Jr.

  • Physics Department, Yale University, New Haven, Connecticut 06520

  • *Sterling Fellow.
PDF

Phys. Rev. 187, 221 – Published 5 November, 1969

DOI: https://doi.org/10.1103/PhysRev.187.221

Abstract

In the limit of a dipole-dipole interaction between neutral atoms and the binary-collision approximation, we present a theory of pressure broadening in which the multiplet structure of the atomic levels is considered. The appropriate Schrödinger equations for the collision problem are numerically integrated to obtain solutions for both resonant and foreign gas broadening. The presence of radiation fields is neglected in the first half of the paper, where the collisional time rate of change of the density matrix is found. The pertinent collisional decay parameters are extracted from these equations. The ratios of the parameters of the average magnetic dipole to electric quadrupole moment obtained were 1.21±0.02 for the relaxation of the entire ensemble in resonant broadening, 0.966±0.012 for the relaxation of the initially excited atoms in resonant broadening, and 1.12±0.02 for the relaxation of the initially excited atoms in foreign gas broadening. In the second half of the paper, the collisional broadening results are incorporated in a systematic evaluation of (i) spectral profiels (effects arising from the velocity and recoil of the emitting atom are neglected), (ii) Hanle-effect line shapes, and (iii) laser phenomena. For the case of resonant broadening, the radiation trapping process is reviewed and its influence on line shapes discussed. Finally, a detailed comparison of the theory with experimental findings as well as with previous theoretical results is made. We conclude that the dipole-dipole interaction is sufficient to explain most cases of resonant and some cases of foreign gas broadening.

View figure in article

References (86)

  1. E. Lindholm, Arkiv Mat. Astron. Fysik 32A, 17 (1945)
  2. H. M. Foley, Phys. Rev. 69, 616 (1946)
  3. P. W. Anderson, Phys. Rev. 76, 647 (1949)
  4. S. Chen and M. Takeo, Rev. Mod. Phys. 29, 20 (1957) R. Breene, ibid. 29, 94 (1957) H. Margeneau and M. Lewis, ibid. 31, 569 (1959)
  5. M. Baranger, in Atomic and Molecular Processes, edited by D. R. Bates (Academic Press Inc., New York, 1962), Chap. 13 Phys. Rev. 111, 481 (1958) ibid.111, 494 (1958)
  6. H. R. Griem, Plasma Spectroscopy (McGraw-Hill Book Co., Inc., New York, 1964)
  7. U. Fano, Phys. Rev. 131, 259 (1963)
  8. F. W. Byron, Jr., and H. M. Foley, Phys. Rev. 134, A625 (1964)
  9. M. I. Dyakonov and V. I. Perel, Zh. Eksperim. i Teor. Fiz. 48, 345 (1965) [English transl.: Soviet Phys.-JETP 21, 227 (1965)]
  10. A. Omont, J. Phys. (Paris) 26, 26 (1965)
  11. G. P. Reck, H. Takebe, and C. A. Mead, Phys. Rev. 137, A683 (1965)
  12. T. Watanabe, Phys. Rev. 138, A1573 (1965) ibid.140, AB5 (1965)
  13. A. W. Ali and H. R. Griem, Phys. Rev. 140, A1044 (1965) ibid.144, A366 (1966)
  14. A. Ben-Reuven, Phys. Rev. 141, 34 (1966) ibid.145, 7 (1966)
  15. A. P. Kazantsev, Zh. Eksperim. i Teor. Fiz. 51, 1751 (1966) [English transl.: Soviet Phys. - JETP 24, 1183 (1967)]
  16. S. G. Rautian and I. I. Sobleman, Usp. Fiz. Nauk 90, 209 (1966) [English transl.: Soviet Phys. - Usp. 9, 701 (1967)]
  17. S. G. Rautian, Zh. Eksperim. i Teor. Fiz. 51, 1176 (1966) [English transl.: Soviet Phys. - JETP 24, 788 (1967)]
  18. D. W. Ross, Ann. Phys. (N. Y.) 36, 458 (1966)
  19. V. V. Yakimets, Zh. Eksperim. i Teor. Fiz. 51, 1469 (1966) [English transl.: Soviet Phys. - JETP 24, 990 (1967)]
  20. B. Bezzerides, J. Quant. Spectry. Radiation Transfer 7, 353 (1967)
  21. J. Cooper, Rev. Mod. Phys. 39, 167 (1967)
  22. E. I. Duman, B. M. Smirnov, and M. I. Chibisov, Zh. Eksperim. i Teor. Fiz. 53, 314 (1967) [English transl.: Soviet Phys. - JETP 26, 210 (1968)]
  23. W. R. Hindmarsh, A. D. Petford, and G. Smith, Proc. Roy. Soc. (London) A297, 296 (1967)
  24. E. L. Lewis, Proc. Phys. Soc. (London) 92, 817 (1967)
  25. M. Mizushima, J. Quant. Spectry. Radiative Transfer 7, 505 (1967)
  26. A. Omont, Ph. D. thesis, Paris, 1967 (unpublished)
  27. C. J. Tsao and B. Curnette, J. Quant. Spectry. Radiative Transfer 2, 41 (1962)
  28. Y. A. Vdovin and V. M. Galitskii, Zh. Eksperim. i Teor. Fiz. 52, 1345 (1967) [English transl.: Soviet Phys. - JETP 25, 894 (1967)]
  29. J. I. Gersten and H. M. Foley, J. Opt. Soc. Am. 58, 933 (1968)
  30. B. L. Gyorffy, M. Borenstein, and W. E. Lamb, Jr., Phys. Rev. 169, 340 (1968)
  31. A. Omont and J. Meunier, Phys. Rev. 169, 92 (1968)
  32. H. R. Zaidi, Phys. Rev. 173, 123 (1968)
  33. W. Furssow and A. Wlassow [Physik Z. Sowjetunion 10, 378 (1936)]
  34. T. Holstein, Phys. Rev. 72, 1212 (1947)
  35. J. P. Barrat, J. Phys. Radium 20, 541 (1959) ibid.20, 633 (1959) ibid.20, 657 (1959)
  36. M. I. Dyakonov and V. I. Perel, Zh. Eksperim. i Teor. Fiz. 47, 1483 (1964) [English transl.: Soviet Phys. - JETP 20, 997 (1965)]
  37. A. Omont, J. Phys. (Paris) 26, 576 (1965)
  38. F. W. Byron, Jr., M. N. McDermott, and R. Novick, Phys. Rev. 134, A615 (1964)
  39. H. G. Kuhn and J. M. Vaughan, Proc. Roy. Soc. (London) A277, 297 (1963)
  40. C. A. Piketty-Rives, F. Grossetete, and J. Brossel, Compt. Rend. 258, 1189 (1964)
  41. A. Szöke and A. Javan, Phys. Rev. Letters 10, 521 (1963)
  42. D. N. Stacey and J. M. Vaughan, Phys. Letters 11, 105 (1964)
  43. G. Attal and F. Schuller, Compt. Rend. 262, 807 (1966)
  44. J. P. Barrat, D. Casalta, J. L. Cojan, and J. Hamal, J. Phys. (Paris) 27, 608 (1966)
  45. J. M. Vaughan, Proc. Roy. Soc. (London) A295, 164 (1966)
  46. R. L. Barger, Phys. Rev. 154, 94 (1967)
  47. J. P. Faroux and J. Brossel, Compt. Rend. 265, 1412 (1967)
  48. W. Happer and E. B. Saloman, Phys. Rev. 160, 23 (1967)
  49. H. G. Kuhn and E. L. Lewis, Proc. Roy. Soc. (London) A299, 423 (1967)
  50. B. Laniepce and J. P. Barrat, Compt. Rend. 264, 146 (1967)
  51. Y. Lecluse, J. Phys. (Paris) 28, 785 (1967)
  52. W. J. Tomlinson and R. L. Fork, Phys. Rev. Letters 20, 647 (1968)
  53. J. M. Vaughan, Phys. Rev. 166, 13 (1968)
  54. J. M. Vaughan and G. Smith, Phys. Rev. 166, 17 (1968)

  55. Omitted endnote

  56. D. M. Brink and G. R. Satchler, Angular Momentum (Clarendon Press, Oxford, 1962)

  57. Omitted endnote

  58. Omitted endnote

  59. Omitted endnote

  60. Omitted endnote

  61. Omitted endnote

  62. U. Fano and G. Racah, Irreducible Tensorial Sets (Academic Press Inc., New York, 1962)
  63. W. Heitier, Quantum Theory of Radiation (Oxford University Press, England, 1954), 3rd ed., p. 69]

  64. Omitted endnote

  65. F. London, Z. Physik Chem. B11, 222 (1930) H. Margeneau, Rev. Mod. Phys. 11, 1 (1939)
  66. H. B. G. Casimir and D. Polder, Phys. Rev. 73, 360 (1948)

  67. Omitted endnote

  68. Omitted endnote

  69. Omitted endnote

  70. [25,26,32]
  71. G. Breit, Rev. Mod. Phys. 5, 91, (1933)
  72. W. E. Lamb, Jr., Phys. Rev. 134, A1429 (1964)
  73. M. Sargent, III, W. E. Lamb, Jr., and R. L. Fork, Phys. Rev. 164, 436 (1967)
  74. [36], Omont

  75. Omitted endnote

  76. [7,14]

  77. Omitted endnote

  78. Vdovin and Galitskii, [28]
  79. ([32])
  80. H. G. Kuhn, E. L. Lewis, and J. M. Vaughan, Phys. Rev. Letters 15, 687 (1965)
  81. R. L. DeZafra and A. Marshall, Phys. Rev. 170, 28 (1968)

  82. Omitted endnote

  83. Omont in [10,25]
  84. L. Spitzer, Jr., Phys. Rev. 58, 348 (1940)
  85. V. N. Rebane and T. K. Rebane, Opt. i Spectroskopiya 20, 185 (1966) [English transl.: Opt. Spectry. - USSR 20, 101 (1966)]

  86. Omitted endnote

Outline

Information

Phys. Rev. 187, 221– Published 5 November, 1969
  • Received 21 April 1969

© 1969 American Physical Society

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation