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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Vol. 3, Iss. 4 — Apr. 1, 1986
  • pp: 514–522

On-axis photon-echo modulation in ruby

A. Szabo  »View Author Affiliations


JOSA B, Vol. 3, Issue 4, pp. 514-522 (1986)
http://dx.doi.org/10.1364/JOSAB.3.000514


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Abstract

Theoretical and experimental studies of photon-echo modulation for the four σ transitions of the R1 line in ruby with an on-axis magnetic field are described. Echoes originating from the Cr3+ ground-state 4A2 (−3/2) spin level (−3/2 echo) are studied for the first time. Unlike ±½ echoes, the −3/2-echo modulation is found to be dominated by Cr–Al interactions occurring outside the 13 inner-shell ions. The +½-echo modulation is observed to be in major disagreement with the theory using previously determined superhyperfine parameters. Regression-analysis studies indicate that this cannot be due solely to parameter errors. Finite nuclear linewidths and/or optical pumping effects are shown to be a plausible source of the disagreement.

© 1986 Optical Society of America

History
Original Manuscript: June 10, 1985
Manuscript Accepted: October 2, 1985
Published: April 1, 1986

Citation
A. Szabo, "On-axis photon-echo modulation in ruby," J. Opt. Soc. Am. B 3, 514-522 (1986)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-3-4-514


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References

  1. E. L. Hahn, “Spin echoes,” Phys. Rev. 80, 580–594 (1950). [CrossRef]
  2. W. B. Mims, in Electron Paramagnetic Resonance, S. Geschwind, ed. (Plenum, New York, 1972), p. 263.
  3. N. A. Kurnitt, I. D. Abella, S. R. Hartmann, “Observation of a photon echo,” Phys. Rev. Lett. 15, 567–568 (1964). [CrossRef]
  4. C. K. N. Patel, R. E. Slusher, “Photon echoes in gases,” Phys. Rev. Lett. 20, 1087–1089 (1968); B. Bolger, J. C. Diels, “Photon echoes in Cs vapor,” Phys. Lett. 28A, 401–402 (1968). [CrossRef]
  5. L. G. Rowan, E. L. Hahn, W. B. Mims, “Electron-spin-echo envelope modulation,” Phys. Rev. A 137, 61–71 (1965). For a recent review of electron-paramagnetic-resonance echo modulation, see L. Kevan, in Time Domain Electron Spin Resonance, L. Kevan, R. N. Schwartz, eds. (Wiley, New York, 1979), pp. 279–341.
  6. L. Q. Lambert, A. Compaan, I. D. Abella, “Modulation and fast decay of photon echoes in ruby,” Phys. Lett. 30A, 153–154 (1969); L. Q. Lambert, “Effects of superhyperfine interactions on photon-echo behavior in dilute ruby,” Phys. Rev. B 7, 1834–1846 (1973). [CrossRef]
  7. D. Grischkowsky, S. R. Hartmann, “Behavior of electron-spin-echoes and photon echoes in high fields,” Phys. Rev. B 2, 60–74 (1970). [CrossRef]
  8. S. Meth, S. R. Hartmann, “Photon echo modulation in ruby,” Opt. Commun. 24, 100–104 (1978). [CrossRef]
  9. Y. C. Chen, K. Chiang, S. R. Hartman, “Spectroscopic and relaxation character of the 3P0–3H4transition in LaF3:Pr3+ measured by photon echoes,” Phys. Rev. B 21, 40–47 (1980), and references therein. [CrossRef]
  10. J. B. W. Morsink, D. A. Wiersma, “Photon echoes in the 3P0–3H4transition in Pr3+:LaF3,” Chem. Phys. Lett. 65, 105–108 (1967). [CrossRef]
  11. P. F. Liao, S. R. Hartmann, “Determination of Cr–Al hyper-fine and electric quadrupole interaction parameters in ruby using spin-echo electron-nuclear double resonance,” Phys. Rev. B 8, 69–80 (1973). [CrossRef]
  12. N. Laurance, E. C. McIrvine, J. Lambe, “Aluminum hyperfine interactions in ruby,” J. Phys. Chem. Solids 23, 515–531 (1962). [CrossRef]
  13. E. A. Whittaker, S. R. Hartmann, “Hyperfine structure of the 1D2–3H4levels of Pr3+:LaF3with the use of photon echo modulation spectroscopy,” Phys. Rev. B 26, 3617–3621 (1982). [CrossRef]
  14. A. Compaan, “Concentration-dependent photon-echo decay in ruby,” Phys. Rev. B 5, 4450–4465 (1972). [CrossRef]
  15. P. F. Liao, P. Hu, R. Leigh, S. R. Hartmann, “Photon-echo nuclear double resonance and its application in ruby,” Phys. Rev. A 9, 332–340 (1974). The frequency scales in Fig. 6 of this paper are incorrectly drawn. 1 MHz should be subtracted from the values shown. [CrossRef]
  16. The ground-state point-dipole value for B and the derived value A, for the G A1 set, in Ref. 8 are incorrect. The correct values (Ref. 8) are B= 20.411 (10.411) kHz/nm3 and A= 0.693 (0.988) MHz. Also, the coordinates of one of the I atoms should be −0.2753, 0, −0.0564 (0.139, 0, −0.057) nm. These corrections have a negligible effect on the calculations of Ref. 8.
  17. P. E. Jessop, A. Szabo, “Single frequency cw dye laser operation in the 690–700 nm gap,” IEEE J. Quantum Electron. QE-16, 812–813 (1980). [CrossRef]
  18. A. Szabo, M. Kroll, “Electric field induced shifting of optical holes, fluorescence line narrowing and free induction decay in ruby,” Opt. Commun. 18, 224–225 (1976); “Stark-induced optical transients in ruby,” Opt. Lett. 2, 10–12 (1978); S. Nakanishi, O. Tamura, T. Muramoto, T. Hashi, “Observation of various photon echoes and FID in ruby by Stark switching technique,” J. Phys. Soc. Jpn. 45, 1437–1438 (1978). [CrossRef] [PubMed]
  19. D. W. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” J. Soc. Indust. Appl. Math. 11, 431–441 (1963). [CrossRef]
  20. In this paper, we use the term “dephasing” in the context of a stochastic process. In some earlier work [e.g., D. Grischkowsky, S. R. Hartmann, “Echo behavior in ruby,” Phys. Rev. Lett. 20, 41–43 (1968)] this term was also used in connection with modulation effects. Current usage implies stochastic processes. [CrossRef]
  21. S. Meth, “Photon echo modulation and photon echo relaxation in ruby,” Ph.D. dissertation (Columbia University, New York, 1977) (unpublished).
  22. S. Lee, C. M. Brodbeck, “Dynamic nuclear polarization method of investigating the correlated ESR and NMR c-axis variation effect in single crystals,” Phys. Rev. B 17, 3484–3491 (1978). [CrossRef]
  23. We have experimentally confirmed the results of Ref. 8. Also, our computer code gave identical echo-modulation curves.
  24. R. M. Shelby, R. M. Macfarlane, “Frequency-dependent optical dephasing in the stoichiometric material EuP5O14,” Phys. Rev. Lett. 45, 1098–1101 (1980). [CrossRef]
  25. R. G. DeVoe, A. Szabo, S. C. Rand, R. G. Brewer, “Ultraslow optical dephasing of LaF3:Pr3+,” Phys. Rev. Lett. 42, 1560–1563 (1979). [CrossRef]
  26. A. Szabo, “Spin dependence of optical dephasing in ruby: the frozen core,” Opt. Lett. 8, 486–487 (1983). [CrossRef] [PubMed]
  27. A. Szabo, J. Chrostowski, “Stimulated on-axis photon echo modulation in ruby,” in Coherence and Quantum Optics V, L. Mandel, E. Wolf, eds. (Plenum, New York, 1984), pp. 301–308.
  28. A. H. Silver, T. Kushida, J. Lambe, “Nuclear magnetic dipole coupling in Al2O3,” Phys. Rev. 125, 1147–1149 (1962). [CrossRef]
  29. W. B. Mims, “Amplitudes of superhyperfine frequencies displayed in the electron-spin-echo envelope,” Phys. Rev. B 6, 3543–3545 (1972). [CrossRef]

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