Abstract

We report direct experimental evidence of the absence of exponential gain at the Stokes wavelength for Stokes/anti-Stokes phase-matched stimulated Raman scattering. The amplification of a Stokes seed pulse was measured at various propagation angles relative to the pump direction. Nonexponential growth was observed at the Stokes/anti-Stokes phase-matching angle with an amplification that was smaller than at non-phase-matching angles by a factor of more than 107.

© 1986 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. N. Bloembergen, Nonlinear Optics (Benjamin, New York, 1965).
  2. N. Bloembergen, Y. R. Shen, Phys. Rev. Lett. 12, 504 (1964).
    [Crossref]
  3. Y. R. Shen, N. Bloembergen, Phys. Rev. 137, A1787 (1965).
    [Crossref]
  4. A. P. Hickman, J. A. Paisner, W. K. Bischel, Phys. Rev. A 33, 1788 (1986).
    [Crossref] [PubMed]
  5. R. Chiao, B. P. Stoicheff, Phys. Rev. Lett. 12, 290 (1964).
    [Crossref]
  6. B. N. Perry, P. Rabinowitz, O. S. Bomse, Opt. Lett. 10, 146 (1985).
    [Crossref] [PubMed]
  7. G. V. Venkin, G. M. Mikheev, O. A. Novodvorskii, Sov. J. Quantum Electron. 15, 1472 (1985).
    [Crossref]
  8. R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).
  9. N. Bloembergen, Am. J. Phys. 35, 989 (1967).
    [Crossref]
  10. M. D. Duncan, R. Mahon, J. Reintjes, L. L. Tankersley, in Digest of International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1986), paper ThEE1.
  11. E. W. Washburn, ed., International Critical Tables of Numerical Data (McGraw-Hill, New York, 1930), Vol. 7, p. 11.
  12. P. D. Maker, R. W. Terhune, Phys. Rev. 137, A801 (1965).
    [Crossref]
  13. For a review see A. N. Arbatskaya, Proc. P.N. Lebedev Phys. Inst. (Acad. Sci. USSR) 99, 1 (1982).

1986 (1)

A. P. Hickman, J. A. Paisner, W. K. Bischel, Phys. Rev. A 33, 1788 (1986).
[Crossref] [PubMed]

1985 (2)

G. V. Venkin, G. M. Mikheev, O. A. Novodvorskii, Sov. J. Quantum Electron. 15, 1472 (1985).
[Crossref]

B. N. Perry, P. Rabinowitz, O. S. Bomse, Opt. Lett. 10, 146 (1985).
[Crossref] [PubMed]

1982 (1)

For a review see A. N. Arbatskaya, Proc. P.N. Lebedev Phys. Inst. (Acad. Sci. USSR) 99, 1 (1982).

1967 (1)

N. Bloembergen, Am. J. Phys. 35, 989 (1967).
[Crossref]

1965 (2)

P. D. Maker, R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

Y. R. Shen, N. Bloembergen, Phys. Rev. 137, A1787 (1965).
[Crossref]

1964 (3)

N. Bloembergen, Y. R. Shen, Phys. Rev. Lett. 12, 504 (1964).
[Crossref]

R. Chiao, B. P. Stoicheff, Phys. Rev. Lett. 12, 290 (1964).
[Crossref]

R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).

Arbatskaya, A. N.

For a review see A. N. Arbatskaya, Proc. P.N. Lebedev Phys. Inst. (Acad. Sci. USSR) 99, 1 (1982).

Bischel, W. K.

A. P. Hickman, J. A. Paisner, W. K. Bischel, Phys. Rev. A 33, 1788 (1986).
[Crossref] [PubMed]

Bloembergen, N.

N. Bloembergen, Am. J. Phys. 35, 989 (1967).
[Crossref]

Y. R. Shen, N. Bloembergen, Phys. Rev. 137, A1787 (1965).
[Crossref]

N. Bloembergen, Y. R. Shen, Phys. Rev. Lett. 12, 504 (1964).
[Crossref]

N. Bloembergen, Nonlinear Optics (Benjamin, New York, 1965).

Bomse, O. S.

Chiao, R.

R. Chiao, B. P. Stoicheff, Phys. Rev. Lett. 12, 290 (1964).
[Crossref]

Duncan, M. D.

M. D. Duncan, R. Mahon, J. Reintjes, L. L. Tankersley, in Digest of International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1986), paper ThEE1.

Hellwarth, R. W.

R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).

Hickman, A. P.

A. P. Hickman, J. A. Paisner, W. K. Bischel, Phys. Rev. A 33, 1788 (1986).
[Crossref] [PubMed]

Mahon, R.

M. D. Duncan, R. Mahon, J. Reintjes, L. L. Tankersley, in Digest of International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1986), paper ThEE1.

Maker, P. D.

P. D. Maker, R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

McClung, F. J.

R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).

Mikheev, G. M.

G. V. Venkin, G. M. Mikheev, O. A. Novodvorskii, Sov. J. Quantum Electron. 15, 1472 (1985).
[Crossref]

Novodvorskii, O. A.

G. V. Venkin, G. M. Mikheev, O. A. Novodvorskii, Sov. J. Quantum Electron. 15, 1472 (1985).
[Crossref]

Paisner, J. A.

A. P. Hickman, J. A. Paisner, W. K. Bischel, Phys. Rev. A 33, 1788 (1986).
[Crossref] [PubMed]

Perry, B. N.

Rabinowitz, P.

Reintjes, J.

M. D. Duncan, R. Mahon, J. Reintjes, L. L. Tankersley, in Digest of International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1986), paper ThEE1.

Shen, Y. R.

Y. R. Shen, N. Bloembergen, Phys. Rev. 137, A1787 (1965).
[Crossref]

N. Bloembergen, Y. R. Shen, Phys. Rev. Lett. 12, 504 (1964).
[Crossref]

Stoicheff, B. P.

R. Chiao, B. P. Stoicheff, Phys. Rev. Lett. 12, 290 (1964).
[Crossref]

Tankersley, L. L.

M. D. Duncan, R. Mahon, J. Reintjes, L. L. Tankersley, in Digest of International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1986), paper ThEE1.

Terhune, R. W.

P. D. Maker, R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

Venkin, G. V.

G. V. Venkin, G. M. Mikheev, O. A. Novodvorskii, Sov. J. Quantum Electron. 15, 1472 (1985).
[Crossref]

Wagner, W. G.

R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).

Weiner, D.

R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).

Am. J. Phys. (1)

N. Bloembergen, Am. J. Phys. 35, 989 (1967).
[Crossref]

Bull. Am. Phys. Soc. (1)

R. W. Hellwarth, F. J. McClung, W. G. Wagner, D. Weiner, Bull. Am. Phys. Soc. 9, 490 (1964).

Opt. Lett. (1)

Phys. Rev. (2)

Y. R. Shen, N. Bloembergen, Phys. Rev. 137, A1787 (1965).
[Crossref]

P. D. Maker, R. W. Terhune, Phys. Rev. 137, A801 (1965).
[Crossref]

Phys. Rev. A (1)

A. P. Hickman, J. A. Paisner, W. K. Bischel, Phys. Rev. A 33, 1788 (1986).
[Crossref] [PubMed]

Phys. Rev. Lett. (2)

R. Chiao, B. P. Stoicheff, Phys. Rev. Lett. 12, 290 (1964).
[Crossref]

N. Bloembergen, Y. R. Shen, Phys. Rev. Lett. 12, 504 (1964).
[Crossref]

Proc. P.N. Lebedev Phys. Inst. (Acad. Sci. USSR) (1)

For a review see A. N. Arbatskaya, Proc. P.N. Lebedev Phys. Inst. (Acad. Sci. USSR) 99, 1 (1982).

Sov. J. Quantum Electron. (1)

G. V. Venkin, G. M. Mikheev, O. A. Novodvorskii, Sov. J. Quantum Electron. 15, 1472 (1985).
[Crossref]

Other (3)

M. D. Duncan, R. Mahon, J. Reintjes, L. L. Tankersley, in Digest of International Quantum Electronics Conference (Optical Society of America, Washington, D.C., 1986), paper ThEE1.

E. W. Washburn, ed., International Critical Tables of Numerical Data (McGraw-Hill, New York, 1930), Vol. 7, p. 11.

N. Bloembergen, Nonlinear Optics (Benjamin, New York, 1965).

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Photograph of the far field of a typical self-generated anti-Stokes emission pattern for H2 at a pressure of about 14 atm. The dark band separating the two bright rings occurs at exact phase matching.

Fig. 2
Fig. 2

Photograph of the far field of a typical self-generated Stokes emission pattern for D2 at a pressure of about 20 atm. The central cone and part of the outer band are clearly seen. The bright spot within the dark band is the seed Stokes beam.

Fig. 3
Fig. 3

Amplification of a Stokes seed pulse in D2 at 41 atm as a function of pump energy at three different crossing angles. (a) Crossing angle of 5 mrad, corresponding to the outer edge of the central emission pattern in Fig. 2; (b) exact phase matching at 7 mrad; (c) crossing angle of 9 mrad, corresponding to the center of the outer arc in Fig. 2. The vertical line in each picture indicates the position of equivalent gain–length product.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

d A AS / d z = - K 1 A L 2 A AS - K 2 A L 2 A S * exp ( - i Δ k z ) ,
d A S * / d z = K 3 A L 2 A S * + K 2 ( ω S n AS / ω AS n S ) A L * 2 A AS exp ( i Δ k z ) ,
g = Re { ( 1 / 2 ) ( K 3 - K 1 ) A L 2 - ( i / 2 ) [ Δ k 2 + 2 i Δ k ( K 3 + K 1 ) A L 2 - ( K 1 - K 3 ) 2 A L 4 ] 1 / 2 } .
A S ( z ) = A S ( 0 ) { K 1 / ( K 1 - K 3 ) - [ K 3 / ( K 1 - K 3 ) ] exp [ - ( K 1 - K 3 ) A L 2 z ] } + ( ω S n AS / ω AS n S ) [ K 2 / ( K 1 - K 3 ) ] × A AS ( 0 ) { 1 - exp [ - ( K 1 - K 3 ) A L 2 z ] } ,
A AS ( z ) = A AS ( 0 ) { [ K 1 / ( K 1 - K 3 ) ] × exp [ - ( K 1 - K 3 ) A L 2 z ] - [ K 3 / ( K 1 - K 3 ) ] } - [ K 2 / ( K 1 - K 3 ) ] × A S ( 0 ) { 1 - exp [ 1 - ( K 1 - K 3 ) A L 2 z ] } .

Metrics