Abstract

Resonant nonlinear-optical interference processes in four-level Doppler-broadened media are studied. Specific features of amplification and optical switching of short-wavelength radiation in a strongly-absorbing resonant gas under coherent quantum control with two longer wavelength radiations, are investigated. The major outcomes are illustrated with virtual experiments aimed at inversionless short-wavelength amplification, which also address deficiencies in this regard in recent experiments. With numerical simulations related to the proposed experiment in optically-dense sodium dimer vapor, we show optimal condition for optical switching and the expected gain of the probe radiation, which is above the oscillation threshold.

©2000 Optical Society of America

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  1. Ossipov Russian Folk Orchestra, condacted by Nikolai Kalinin, “Ochi Chornyje” © 1994 CD Ltd.
  2. Thomas F. George, piano, and Michael Kaupa, trumpet/flügelhorn, “Close Your Eyes” ©1995 Hester Park, http://www.uwsp.edu/admin/chancellor/tgeorge/CDreview.htm,
  3. M.O. Scully, “Resolving conumdrums in lasing without inversion via exact solutions to simple models” Quantum Optics 6, 203–215 (1994).
    [Crossref]
  4. O. Kocharovskaya and P. Mandel, “Basic models of lasing without inversion: General form of amplification condition and problem of self-consistency,” ibid., 217–230.
  5. B. G. Levi, “Some benefits of quantum interference become transparent,” Physics Today 45, 17–19 (May 1992).
    [Crossref]
  6. P. Mandel, “Lasing without inversion: a useful concept?” Contemp. Phys. 34, 235–246 (1993).
    [Crossref]
  7. M. O. Scully and M. Fleischhauer, “Laser without inversion,” Science 263, 337–338 (1994).
    [Crossref] [PubMed]
  8. A. K. Popov and S. G. Rautian, “Atomic coherence and interference phenomena in resonant nonlinear optical interactions” (invited paper), in Coherent Phenomena and Amplification without Inversion, A. V. Andreev, O. Kocharovskaya, and P. Mandel, eds., Proc. SPIE 2798, 49–61 (1996), http://xxx.lanl.gov/abs/quant-ph/0005114.
  9. A. K. Popov, “Inversionless amplification and laser-induced transparency at discrete transitions and the transitions to continuum” (review), Bull. Russ. Acad. Sci., Physics 60, 927–945 (1996), http://xxx.lanl.gov/abs/quant-ph/0005108.
  10. S. E. Harris, “Electromagnetically induced transparency,” Physics Today 50, 36–42 (July 1997).
    [Crossref]
  11. A. J. Merriam, S. J. Sharpe, H. Xia, D. Manuszak, G. Y. Yin, and S. E. Harris, “Efficient gas-phase generation of coherent vacuum ultraviolet radiation,” Opt. Lett. 24, 625–627 (1999).
    [Crossref]
  12. S. E. Harris and L. V. Hau, “Nonlinear optics in low light-levels,” Phys. Rev. Lett. 82, 4611–4614 (1999).
    [Crossref]
  13. S. E. Harris and Y. Yamamoto, “Photon switching by quantum interference,” Phys. Rev. Lett. 81, 3611–3614 (1999.
    [Crossref]
  14. M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
    [Crossref]
  15. U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
    [Crossref]
  16. A. K. Popov and S. A. Myslivets, “Resonant four-wave frequency mixing in Doppler-broadened transitions,” Quantum Electron. 271004–1008 (1997), http://turpion.ioc.ac.ru/.
    [Crossref]
  17. A. K. Popov, “Interference at quantum transitions: lasing without inversion and resonant four-wave mixing in strong fields at Doppler-broadened transitions,” in Nonlinear Optics, Sergei G. Rautian, Igor M. Beterov, and Natalia M. Rubtsova, eds., Proc. SPIE3485, 252–263 (1998), http://xxx.lanl.gov/abs/quant-ph/0005118.
  18. T. Ya. Popova, A. K. Popov, S. G. Rautian, and R. I. Sokolovskii, “Nonlinear interference effects in emission, absorption, and generation spectra,” JETP30, 466 (1970) [Translated from Zh. Eksp. Teor. Fiz.57850, (1969)], http://xxx.lanl.gov/abs/quant-ph/0005094.
  19. T. Ya. Popova and A. K. Popov, “Effect of resonance radiative processes on the amplification factor,” Zhurn.Prikl. Spektrosk., 12, No 6, 989, (1970) [Translated in Engl.: Journ. Appl. Spectr12, No 6, 734, (1970), http://xxx.lanl.gov/abs/quant-ph/0005047.
  20. T. Ya. Popova and A. K. Popov, “Shape of the amplification line corresponding to an adjacent transition in a strong field,” Izv.Vysh. Uchebn. Zaved., Fizika No 11, 38, (1970) [Translated in Engl.: Soviet Phys. Journ.13, No 11, 1435, (1970)], http://xxx.lanl.gov/abs/quant-ph/0005049.
  21. A. K. Popov, Introduction in Nonlinear Spectroscopy, Nauka, Novosibirsk, 1983, 274p. (in Russ).
  22. I. M. Beterov, “Investigation on nonlinear resonant interaction of optical fields in three-level gas laser,” Cand. Sci. Dissertation, Institute of Semiconductor Physics SD USSR AS, Novosibirsk, Dec. 1970.
  23. A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
    [Crossref]

1999 (6)

S. E. Harris and L. V. Hau, “Nonlinear optics in low light-levels,” Phys. Rev. Lett. 82, 4611–4614 (1999).
[Crossref]

S. E. Harris and Y. Yamamoto, “Photon switching by quantum interference,” Phys. Rev. Lett. 81, 3611–3614 (1999.
[Crossref]

M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
[Crossref]

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

A. J. Merriam, S. J. Sharpe, H. Xia, D. Manuszak, G. Y. Yin, and S. E. Harris, “Efficient gas-phase generation of coherent vacuum ultraviolet radiation,” Opt. Lett. 24, 625–627 (1999).
[Crossref]

1997 (2)

S. E. Harris, “Electromagnetically induced transparency,” Physics Today 50, 36–42 (July 1997).
[Crossref]

A. K. Popov and S. A. Myslivets, “Resonant four-wave frequency mixing in Doppler-broadened transitions,” Quantum Electron. 271004–1008 (1997), http://turpion.ioc.ac.ru/.
[Crossref]

1996 (2)

A. K. Popov and S. G. Rautian, “Atomic coherence and interference phenomena in resonant nonlinear optical interactions” (invited paper), in Coherent Phenomena and Amplification without Inversion, A. V. Andreev, O. Kocharovskaya, and P. Mandel, eds., Proc. SPIE 2798, 49–61 (1996), http://xxx.lanl.gov/abs/quant-ph/0005114.

A. K. Popov, “Inversionless amplification and laser-induced transparency at discrete transitions and the transitions to continuum” (review), Bull. Russ. Acad. Sci., Physics 60, 927–945 (1996), http://xxx.lanl.gov/abs/quant-ph/0005108.

1994 (2)

M.O. Scully, “Resolving conumdrums in lasing without inversion via exact solutions to simple models” Quantum Optics 6, 203–215 (1994).
[Crossref]

M. O. Scully and M. Fleischhauer, “Laser without inversion,” Science 263, 337–338 (1994).
[Crossref] [PubMed]

1993 (1)

P. Mandel, “Lasing without inversion: a useful concept?” Contemp. Phys. 34, 235–246 (1993).
[Crossref]

1992 (1)

B. G. Levi, “Some benefits of quantum interference become transparent,” Physics Today 45, 17–19 (May 1992).
[Crossref]

Beterov, I. M.

I. M. Beterov, “Investigation on nonlinear resonant interaction of optical fields in three-level gas laser,” Cand. Sci. Dissertation, Institute of Semiconductor Physics SD USSR AS, Novosibirsk, Dec. 1970.

Chichkov, B. N.

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

Fleischhauer, M.

M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
[Crossref]

M. O. Scully and M. Fleischhauer, “Laser without inversion,” Science 263, 337–338 (1994).
[Crossref] [PubMed]

George, Thomas F.

Thomas F. George, piano, and Michael Kaupa, trumpet/flügelhorn, “Close Your Eyes” ©1995 Hester Park, http://www.uwsp.edu/admin/chancellor/tgeorge/CDreview.htm,

Harris, S. E.

A. J. Merriam, S. J. Sharpe, H. Xia, D. Manuszak, G. Y. Yin, and S. E. Harris, “Efficient gas-phase generation of coherent vacuum ultraviolet radiation,” Opt. Lett. 24, 625–627 (1999).
[Crossref]

S. E. Harris and Y. Yamamoto, “Photon switching by quantum interference,” Phys. Rev. Lett. 81, 3611–3614 (1999.
[Crossref]

S. E. Harris and L. V. Hau, “Nonlinear optics in low light-levels,” Phys. Rev. Lett. 82, 4611–4614 (1999).
[Crossref]

S. E. Harris, “Electromagnetically induced transparency,” Physics Today 50, 36–42 (July 1997).
[Crossref]

Hau, L. V.

S. E. Harris and L. V. Hau, “Nonlinear optics in low light-levels,” Phys. Rev. Lett. 82, 4611–4614 (1999).
[Crossref]

Hinze, U.

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

Kaupa, Michael

Thomas F. George, piano, and Michael Kaupa, trumpet/flügelhorn, “Close Your Eyes” ©1995 Hester Park, http://www.uwsp.edu/admin/chancellor/tgeorge/CDreview.htm,

Kocharovskaya, O.

O. Kocharovskaya and P. Mandel, “Basic models of lasing without inversion: General form of amplification condition and problem of self-consistency,” ibid., 217–230.

Levi, B. G.

B. G. Levi, “Some benefits of quantum interference become transparent,” Physics Today 45, 17–19 (May 1992).
[Crossref]

Lukin, M. D.

M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
[Crossref]

Mandel, P.

P. Mandel, “Lasing without inversion: a useful concept?” Contemp. Phys. 34, 235–246 (1993).
[Crossref]

O. Kocharovskaya and P. Mandel, “Basic models of lasing without inversion: General form of amplification condition and problem of self-consistency,” ibid., 217–230.

Manuszak, D.

Matsko, A. V.

M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
[Crossref]

Merriam, A. J.

Meyer, L.

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

Myslivets, S. A.

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

A. K. Popov and S. A. Myslivets, “Resonant four-wave frequency mixing in Doppler-broadened transitions,” Quantum Electron. 271004–1008 (1997), http://turpion.ioc.ac.ru/.
[Crossref]

piano,

Thomas F. George, piano, and Michael Kaupa, trumpet/flügelhorn, “Close Your Eyes” ©1995 Hester Park, http://www.uwsp.edu/admin/chancellor/tgeorge/CDreview.htm,

Popov, A. K.

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

A. K. Popov and S. A. Myslivets, “Resonant four-wave frequency mixing in Doppler-broadened transitions,” Quantum Electron. 271004–1008 (1997), http://turpion.ioc.ac.ru/.
[Crossref]

A. K. Popov, “Inversionless amplification and laser-induced transparency at discrete transitions and the transitions to continuum” (review), Bull. Russ. Acad. Sci., Physics 60, 927–945 (1996), http://xxx.lanl.gov/abs/quant-ph/0005108.

A. K. Popov and S. G. Rautian, “Atomic coherence and interference phenomena in resonant nonlinear optical interactions” (invited paper), in Coherent Phenomena and Amplification without Inversion, A. V. Andreev, O. Kocharovskaya, and P. Mandel, eds., Proc. SPIE 2798, 49–61 (1996), http://xxx.lanl.gov/abs/quant-ph/0005114.

A. K. Popov, “Interference at quantum transitions: lasing without inversion and resonant four-wave mixing in strong fields at Doppler-broadened transitions,” in Nonlinear Optics, Sergei G. Rautian, Igor M. Beterov, and Natalia M. Rubtsova, eds., Proc. SPIE3485, 252–263 (1998), http://xxx.lanl.gov/abs/quant-ph/0005118.

A. K. Popov, Introduction in Nonlinear Spectroscopy, Nauka, Novosibirsk, 1983, 274p. (in Russ).

T. Ya. Popova, A. K. Popov, S. G. Rautian, and R. I. Sokolovskii, “Nonlinear interference effects in emission, absorption, and generation spectra,” JETP30, 466 (1970) [Translated from Zh. Eksp. Teor. Fiz.57850, (1969)], http://xxx.lanl.gov/abs/quant-ph/0005094.

T. Ya. Popova and A. K. Popov, “Shape of the amplification line corresponding to an adjacent transition in a strong field,” Izv.Vysh. Uchebn. Zaved., Fizika No 11, 38, (1970) [Translated in Engl.: Soviet Phys. Journ.13, No 11, 1435, (1970)], http://xxx.lanl.gov/abs/quant-ph/0005049.

T. Ya. Popova and A. K. Popov, “Effect of resonance radiative processes on the amplification factor,” Zhurn.Prikl. Spektrosk., 12, No 6, 989, (1970) [Translated in Engl.: Journ. Appl. Spectr12, No 6, 734, (1970), http://xxx.lanl.gov/abs/quant-ph/0005047.

Popova, T. Ya.

T. Ya. Popova and A. K. Popov, “Effect of resonance radiative processes on the amplification factor,” Zhurn.Prikl. Spektrosk., 12, No 6, 989, (1970) [Translated in Engl.: Journ. Appl. Spectr12, No 6, 734, (1970), http://xxx.lanl.gov/abs/quant-ph/0005047.

T. Ya. Popova and A. K. Popov, “Shape of the amplification line corresponding to an adjacent transition in a strong field,” Izv.Vysh. Uchebn. Zaved., Fizika No 11, 38, (1970) [Translated in Engl.: Soviet Phys. Journ.13, No 11, 1435, (1970)], http://xxx.lanl.gov/abs/quant-ph/0005049.

T. Ya. Popova, A. K. Popov, S. G. Rautian, and R. I. Sokolovskii, “Nonlinear interference effects in emission, absorption, and generation spectra,” JETP30, 466 (1970) [Translated from Zh. Eksp. Teor. Fiz.57850, (1969)], http://xxx.lanl.gov/abs/quant-ph/0005094.

Rautian, S. G.

A. K. Popov and S. G. Rautian, “Atomic coherence and interference phenomena in resonant nonlinear optical interactions” (invited paper), in Coherent Phenomena and Amplification without Inversion, A. V. Andreev, O. Kocharovskaya, and P. Mandel, eds., Proc. SPIE 2798, 49–61 (1996), http://xxx.lanl.gov/abs/quant-ph/0005114.

T. Ya. Popova, A. K. Popov, S. G. Rautian, and R. I. Sokolovskii, “Nonlinear interference effects in emission, absorption, and generation spectra,” JETP30, 466 (1970) [Translated from Zh. Eksp. Teor. Fiz.57850, (1969)], http://xxx.lanl.gov/abs/quant-ph/0005094.

Scully, M. O.

M. O. Scully and M. Fleischhauer, “Laser without inversion,” Science 263, 337–338 (1994).
[Crossref] [PubMed]

Scully, M.O.

M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
[Crossref]

M.O. Scully, “Resolving conumdrums in lasing without inversion via exact solutions to simple models” Quantum Optics 6, 203–215 (1994).
[Crossref]

Sharpe, S. J.

Sokolovskii, R. I.

T. Ya. Popova, A. K. Popov, S. G. Rautian, and R. I. Sokolovskii, “Nonlinear interference effects in emission, absorption, and generation spectra,” JETP30, 466 (1970) [Translated from Zh. Eksp. Teor. Fiz.57850, (1969)], http://xxx.lanl.gov/abs/quant-ph/0005094.

Tartakovsky, G.

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

Tiemann, E.

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

Wellegehausen, B.

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

Xia, H.

Yamamoto, Y.

S. E. Harris and Y. Yamamoto, “Photon switching by quantum interference,” Phys. Rev. Lett. 81, 3611–3614 (1999.
[Crossref]

Yin, G. Y.

Bull. Russ. Acad. Sci., Physics (1)

A. K. Popov, “Inversionless amplification and laser-induced transparency at discrete transitions and the transitions to continuum” (review), Bull. Russ. Acad. Sci., Physics 60, 927–945 (1996), http://xxx.lanl.gov/abs/quant-ph/0005108.

Contemp. Phys. (1)

P. Mandel, “Lasing without inversion: a useful concept?” Contemp. Phys. 34, 235–246 (1993).
[Crossref]

in Coherent Phenomena and Amplification without Inversion (1)

A. K. Popov and S. G. Rautian, “Atomic coherence and interference phenomena in resonant nonlinear optical interactions” (invited paper), in Coherent Phenomena and Amplification without Inversion, A. V. Andreev, O. Kocharovskaya, and P. Mandel, eds., Proc. SPIE 2798, 49–61 (1996), http://xxx.lanl.gov/abs/quant-ph/0005114.

JETP Lett. (1)

A. K. Popov, S. A. Myslivets, E. Tiemann, B. Wellegehausen, and G. Tartakovsky, “Quantum interference and Manley-Rowe relations at resonant four-wave mixing in optically-thick Doppler-broadened Media,” JETP Lett. 69, 912–16 (1999), http://ojps.aip.org/jetplo/.
[Crossref]

Opt. Commun. (1)

U. Hinze, L. Meyer, B. N. Chichkov, E. Tiemann, and B. Wellegehausen, “Continuous parametric amplification in a resonantly driven double-Λ system,” Opt. Commun. 166, 127–132 (1999).
[Crossref]

Opt. Lett. (1)

Phys. Rev. Lett. (3)

S. E. Harris and L. V. Hau, “Nonlinear optics in low light-levels,” Phys. Rev. Lett. 82, 4611–4614 (1999).
[Crossref]

S. E. Harris and Y. Yamamoto, “Photon switching by quantum interference,” Phys. Rev. Lett. 81, 3611–3614 (1999.
[Crossref]

M. D. Lukin, A. V. Matsko, M. Fleischhauer, and M.O. Scully, “Quantum noise and correlations in resonantly enhanced wave mixing based on atomic coherence,” Phys. Rev. Lett. 82, 1847–1850 (1999).
[Crossref]

Physics Today (2)

S. E. Harris, “Electromagnetically induced transparency,” Physics Today 50, 36–42 (July 1997).
[Crossref]

B. G. Levi, “Some benefits of quantum interference become transparent,” Physics Today 45, 17–19 (May 1992).
[Crossref]

Quantum Electron. (1)

A. K. Popov and S. A. Myslivets, “Resonant four-wave frequency mixing in Doppler-broadened transitions,” Quantum Electron. 271004–1008 (1997), http://turpion.ioc.ac.ru/.
[Crossref]

Quantum Optics (1)

M.O. Scully, “Resolving conumdrums in lasing without inversion via exact solutions to simple models” Quantum Optics 6, 203–215 (1994).
[Crossref]

Science (1)

M. O. Scully and M. Fleischhauer, “Laser without inversion,” Science 263, 337–338 (1994).
[Crossref] [PubMed]

Other (9)

O. Kocharovskaya and P. Mandel, “Basic models of lasing without inversion: General form of amplification condition and problem of self-consistency,” ibid., 217–230.

Ossipov Russian Folk Orchestra, condacted by Nikolai Kalinin, “Ochi Chornyje” © 1994 CD Ltd.

Thomas F. George, piano, and Michael Kaupa, trumpet/flügelhorn, “Close Your Eyes” ©1995 Hester Park, http://www.uwsp.edu/admin/chancellor/tgeorge/CDreview.htm,

A. K. Popov, “Interference at quantum transitions: lasing without inversion and resonant four-wave mixing in strong fields at Doppler-broadened transitions,” in Nonlinear Optics, Sergei G. Rautian, Igor M. Beterov, and Natalia M. Rubtsova, eds., Proc. SPIE3485, 252–263 (1998), http://xxx.lanl.gov/abs/quant-ph/0005118.

T. Ya. Popova, A. K. Popov, S. G. Rautian, and R. I. Sokolovskii, “Nonlinear interference effects in emission, absorption, and generation spectra,” JETP30, 466 (1970) [Translated from Zh. Eksp. Teor. Fiz.57850, (1969)], http://xxx.lanl.gov/abs/quant-ph/0005094.

T. Ya. Popova and A. K. Popov, “Effect of resonance radiative processes on the amplification factor,” Zhurn.Prikl. Spektrosk., 12, No 6, 989, (1970) [Translated in Engl.: Journ. Appl. Spectr12, No 6, 734, (1970), http://xxx.lanl.gov/abs/quant-ph/0005047.

T. Ya. Popova and A. K. Popov, “Shape of the amplification line corresponding to an adjacent transition in a strong field,” Izv.Vysh. Uchebn. Zaved., Fizika No 11, 38, (1970) [Translated in Engl.: Soviet Phys. Journ.13, No 11, 1435, (1970)], http://xxx.lanl.gov/abs/quant-ph/0005049.

A. K. Popov, Introduction in Nonlinear Spectroscopy, Nauka, Novosibirsk, 1983, 274p. (in Russ).

I. M. Beterov, “Investigation on nonlinear resonant interaction of optical fields in three-level gas laser,” Cand. Sci. Dissertation, Institute of Semiconductor Physics SD USSR AS, Novosibirsk, Dec. 1970.

Supplementary Material (4)

» Media 1: MOV (2021 KB)     
» Media 2: MOV (2032 KB)     
» Media 3: MOV (1542 KB)     
» Media 4: MOV (1500 KB)     

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Figures (5)

Fig. 1.
Fig. 1. Energy levels and coupled fields.

Download Full Size | PPT Slide | PDF

Fig. 2.
Fig. 2. Intensity-dependent absorption index for the signal radiation, Stokes amplification index for the idle radiation and real and imaginary parts of the FWM cross coupling parameters vs signal frequency resonance detuning. The driving fields are set to the resonance. (a) and (b) — mov1a.mov (2.02MB, audio†) (G 3=20MHz, G 1 varies); (c) — mov1b.mov (2.03MB, audio†) (G 1=60 MHz, G 3 varies). The current magnitude of the variable Rabi frequency runs at the top of the screen. [Media 1]

Download Full Size | PPT Slide | PDF

Fig. 3.
Fig. 3. Inversionless gain in optically thick Doppler-broadened medium. a and c — mov2b.mov (1.50MB, audio‡)(G 10=60MHz, G 30 varies); b — mov2a.mov (1.54MB, audio‡)(G 30=20 MHz, G 10 varies). The current magnitudes of the variable Rabi frequency are displayed at the top of the screen. [Media 4]

Download Full Size | PPT Slide | PDF

Fig. 4.
Fig. 4. Optical switch.

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Fig. 5.
Fig. 5. Numerical simulation of the experiment [13] — (a) and (b), and of the proposed experiment towards inversionless gain — (c) and (d).

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Equations (4)

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d E 4,2 ( z ) ⁄ d z = i σ 4,2 E 4,2 + i σ ˜ 4,2 E 1 E 3 E 2,4 * ,
d E 1,3 ( z ) ⁄ d z = i σ 1,3 E 1,3 + i σ ˜ 1,3 E 4 E 2 E 3,1 * .
I 4 ⁄ I 40 = ∣ exp ( − α 4 l ⁄ 2 ) + ( γ 2 ⁄ ( 2 β ) 2 ) [ exp ( g 2 L ⁄ 2 ) − exp ( − α 4 L ⁄ 2 ) ] ∣ 2 .
η 4 = I 4 ⁄ I 20 = ( ∣ γ 4 ∣ 2 ⁄ ∣ 2 β ∣ 2 ) ∣ exp ( g 2 L ⁄ 2 ) − exp ( − α 4 L ⁄ 2 ) ∣ 2 .

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