Abstract

Low spatial frequency (small angle) components induced on an initially nearly plane wave optical field can be amplified by stimulated light by light scattering arising from molecular orientation. For sea level air and a laser intensity of 2 MW/cm2 at 1 μm, a maximum steady state gain of 7 × 10−3 km−1 is found for amplification at an angle of 10−6 rad. The possible influence of this effect on the stimulated Raman scattering experiments of Henesian et al. is considered.

© 1988 Optical Society of America

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References

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  1. N. Bloembergen et al., “Science and Technology of Directed Energy Weapons,” Rev. Mod. Phys. 59, No. 3, Part 2 (1987).
  2. Yu. S. Balin et al., “Signals and Noise in Laser Ranging,” V. E. Zuev, Ed. (Soviet Radio, Moscow, 1985) [J. Sov. Laser Res. 8, 283 (1987)].
  3. M. A. Henesian, C. D. Swift, J. R. Murray, “Stimulated Rotational Raman Scattering in Nitrogen in Long Air Paths,” Opt. Lett. 10, 565 (1985).
    [CrossRef] [PubMed]
  4. T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
    [CrossRef]
  5. F. DeMartini, P. L. Kelley, “Nonlinear Optical Propagation Effects in Kerr-Active Media,” in Quantum Optics, R. J. Glauber, Ed. (Academic, New York, 1969).
  6. C. H. Lin, J. P. Heritage, T. K. Gustafson, “Susceptibility Echoes in Linear Molecular Gases,” Appl. Phys. Lett. 19, 397 (1971).
    [CrossRef]
  7. V. I. Bespalov, V. I. Talanov, “Filamentary Structure of Light Beams in Nonlinear Liquids,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].
  8. R. Y. Chiao, P. L. Kelley, E. M. Garmire, “Stimulated Four-Photon Interaction and Its Influence on Stimulated Rayleigh-Wing Scattering,” Phys. Rev. Lett. 17, 1158 (1966).
    [CrossRef]
  9. B. R. Suydam, “Self-Focusing of Very Powerful Laser Beams, Part I,” in Laser Induced Damage in Optical Materials: 1973, NBS Spec. Publ. 387, A. J. Glass, A. H. Guenther, Eds. (U.S. GPO, Washington, DC, 1973); B. R. Suydam, “Self-Focusing of Very Powerful Laser Beams II,” IEEE J. Quantum Electron. QE-10, 837 (1974); B. R. Suydam, “Effect of Refractive-Index Nonlinearity on the Optical Quality of High-Power Laser Beams,” IEEE J. Quantum Electron. QE-11, 225 (1975).
    [CrossRef]
  10. D. L. Fried, “Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures,” J. Opt. Soc. Am. 56, 1372 (1966).
    [CrossRef]
  11. F. Roddier, “The Effects of Atmospheric Turbulence in Optical Astronomy,” Prog. Opt. 19, 283 (1981).
  12. R. I. Miller, T. G. Roberts, “Laser Self-Focusing in the Atmosphere,” Appl. Opt. 26, 4570 (1987).
    [CrossRef] [PubMed]
  13. M. Rokni, A. Flusberg, “Stimulated Rotational Raman Scattering in the Atmosphere,” IEEE J. Quantum Electron. QE-22, 1102 (1986).
    [CrossRef]
  14. D.C. Smith, “High-Power Laser Propagation: Thermal Blooming,” Proc. IEEE 65, 1679 (1977).
    [CrossRef]

1987 (2)

N. Bloembergen et al., “Science and Technology of Directed Energy Weapons,” Rev. Mod. Phys. 59, No. 3, Part 2 (1987).

R. I. Miller, T. G. Roberts, “Laser Self-Focusing in the Atmosphere,” Appl. Opt. 26, 4570 (1987).
[CrossRef] [PubMed]

1986 (1)

M. Rokni, A. Flusberg, “Stimulated Rotational Raman Scattering in the Atmosphere,” IEEE J. Quantum Electron. QE-22, 1102 (1986).
[CrossRef]

1985 (1)

1981 (1)

F. Roddier, “The Effects of Atmospheric Turbulence in Optical Astronomy,” Prog. Opt. 19, 283 (1981).

1977 (1)

D.C. Smith, “High-Power Laser Propagation: Thermal Blooming,” Proc. IEEE 65, 1679 (1977).
[CrossRef]

1971 (1)

C. H. Lin, J. P. Heritage, T. K. Gustafson, “Susceptibility Echoes in Linear Molecular Gases,” Appl. Phys. Lett. 19, 397 (1971).
[CrossRef]

1968 (1)

T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
[CrossRef]

1966 (3)

V. I. Bespalov, V. I. Talanov, “Filamentary Structure of Light Beams in Nonlinear Liquids,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

R. Y. Chiao, P. L. Kelley, E. M. Garmire, “Stimulated Four-Photon Interaction and Its Influence on Stimulated Rayleigh-Wing Scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

D. L. Fried, “Optical Resolution Through a Randomly Inhomogeneous Medium for Very Long and Very Short Exposures,” J. Opt. Soc. Am. 56, 1372 (1966).
[CrossRef]

Balin, Yu. S.

Yu. S. Balin et al., “Signals and Noise in Laser Ranging,” V. E. Zuev, Ed. (Soviet Radio, Moscow, 1985) [J. Sov. Laser Res. 8, 283 (1987)].

Bespalov, V. I.

V. I. Bespalov, V. I. Talanov, “Filamentary Structure of Light Beams in Nonlinear Liquids,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Bloembergen, N.

N. Bloembergen et al., “Science and Technology of Directed Energy Weapons,” Rev. Mod. Phys. 59, No. 3, Part 2 (1987).

Brewer, R. G.

T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
[CrossRef]

Chiao, R. Y.

T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
[CrossRef]

R. Y. Chiao, P. L. Kelley, E. M. Garmire, “Stimulated Four-Photon Interaction and Its Influence on Stimulated Rayleigh-Wing Scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

DeMartini, F.

F. DeMartini, P. L. Kelley, “Nonlinear Optical Propagation Effects in Kerr-Active Media,” in Quantum Optics, R. J. Glauber, Ed. (Academic, New York, 1969).

Flusberg, A.

M. Rokni, A. Flusberg, “Stimulated Rotational Raman Scattering in the Atmosphere,” IEEE J. Quantum Electron. QE-22, 1102 (1986).
[CrossRef]

Fried, D. L.

Garmire, E. M.

R. Y. Chiao, P. L. Kelley, E. M. Garmire, “Stimulated Four-Photon Interaction and Its Influence on Stimulated Rayleigh-Wing Scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Gustafson, T. K.

C. H. Lin, J. P. Heritage, T. K. Gustafson, “Susceptibility Echoes in Linear Molecular Gases,” Appl. Phys. Lett. 19, 397 (1971).
[CrossRef]

T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
[CrossRef]

Henesian, M. A.

Heritage, J. P.

C. H. Lin, J. P. Heritage, T. K. Gustafson, “Susceptibility Echoes in Linear Molecular Gases,” Appl. Phys. Lett. 19, 397 (1971).
[CrossRef]

Kelley, P. L.

T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
[CrossRef]

R. Y. Chiao, P. L. Kelley, E. M. Garmire, “Stimulated Four-Photon Interaction and Its Influence on Stimulated Rayleigh-Wing Scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

F. DeMartini, P. L. Kelley, “Nonlinear Optical Propagation Effects in Kerr-Active Media,” in Quantum Optics, R. J. Glauber, Ed. (Academic, New York, 1969).

Lin, C. H.

C. H. Lin, J. P. Heritage, T. K. Gustafson, “Susceptibility Echoes in Linear Molecular Gases,” Appl. Phys. Lett. 19, 397 (1971).
[CrossRef]

Miller, R. I.

Murray, J. R.

Roberts, T. G.

Roddier, F.

F. Roddier, “The Effects of Atmospheric Turbulence in Optical Astronomy,” Prog. Opt. 19, 283 (1981).

Rokni, M.

M. Rokni, A. Flusberg, “Stimulated Rotational Raman Scattering in the Atmosphere,” IEEE J. Quantum Electron. QE-22, 1102 (1986).
[CrossRef]

Smith, D.C.

D.C. Smith, “High-Power Laser Propagation: Thermal Blooming,” Proc. IEEE 65, 1679 (1977).
[CrossRef]

Suydam, B. R.

B. R. Suydam, “Self-Focusing of Very Powerful Laser Beams, Part I,” in Laser Induced Damage in Optical Materials: 1973, NBS Spec. Publ. 387, A. J. Glass, A. H. Guenther, Eds. (U.S. GPO, Washington, DC, 1973); B. R. Suydam, “Self-Focusing of Very Powerful Laser Beams II,” IEEE J. Quantum Electron. QE-10, 837 (1974); B. R. Suydam, “Effect of Refractive-Index Nonlinearity on the Optical Quality of High-Power Laser Beams,” IEEE J. Quantum Electron. QE-11, 225 (1975).
[CrossRef]

Swift, C. D.

Talanov, V. I.

V. I. Bespalov, V. I. Talanov, “Filamentary Structure of Light Beams in Nonlinear Liquids,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Appl. Opt. (1)

Appl. Phys. Lett. (2)

T. K. Gustafson, P. L. Kelley, R. Y. Chiao, R. G. Brewer, “Self-Trapping in Media with Saturation of the Nonlinear Index,” Appl. Phys. Lett. 12, 165 (1968).
[CrossRef]

C. H. Lin, J. P. Heritage, T. K. Gustafson, “Susceptibility Echoes in Linear Molecular Gases,” Appl. Phys. Lett. 19, 397 (1971).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Rokni, A. Flusberg, “Stimulated Rotational Raman Scattering in the Atmosphere,” IEEE J. Quantum Electron. QE-22, 1102 (1986).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Lett. (1)

Phys. Rev. Lett. (1)

R. Y. Chiao, P. L. Kelley, E. M. Garmire, “Stimulated Four-Photon Interaction and Its Influence on Stimulated Rayleigh-Wing Scattering,” Phys. Rev. Lett. 17, 1158 (1966).
[CrossRef]

Proc. IEEE (1)

D.C. Smith, “High-Power Laser Propagation: Thermal Blooming,” Proc. IEEE 65, 1679 (1977).
[CrossRef]

Prog. Opt. (1)

F. Roddier, “The Effects of Atmospheric Turbulence in Optical Astronomy,” Prog. Opt. 19, 283 (1981).

Rev. Mod. Phys. (1)

N. Bloembergen et al., “Science and Technology of Directed Energy Weapons,” Rev. Mod. Phys. 59, No. 3, Part 2 (1987).

Zh. Eksp. Teor. Fiz. Pis’ma Red. (1)

V. I. Bespalov, V. I. Talanov, “Filamentary Structure of Light Beams in Nonlinear Liquids,” Zh. Eksp. Teor. Fiz. Pis’ma Red. 3, 471 (1966) [JETP Lett. 3, 307 (1966)].

Other (3)

B. R. Suydam, “Self-Focusing of Very Powerful Laser Beams, Part I,” in Laser Induced Damage in Optical Materials: 1973, NBS Spec. Publ. 387, A. J. Glass, A. H. Guenther, Eds. (U.S. GPO, Washington, DC, 1973); B. R. Suydam, “Self-Focusing of Very Powerful Laser Beams II,” IEEE J. Quantum Electron. QE-10, 837 (1974); B. R. Suydam, “Effect of Refractive-Index Nonlinearity on the Optical Quality of High-Power Laser Beams,” IEEE J. Quantum Electron. QE-11, 225 (1975).
[CrossRef]

Yu. S. Balin et al., “Signals and Noise in Laser Ranging,” V. E. Zuev, Ed. (Soviet Radio, Moscow, 1985) [J. Sov. Laser Res. 8, 283 (1987)].

F. DeMartini, P. L. Kelley, “Nonlinear Optical Propagation Effects in Kerr-Active Media,” in Quantum Optics, R. J. Glauber, Ed. (Academic, New York, 1969).

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Figures (1)

Fig. 1
Fig. 1

Wave vector diagram for the light by light scattering process ks, is the wave vector of the strong input field, and kw, k w are the wave vectors of the weak scattered fields.

Equations (18)

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

γ = ± k 0 2 θ [ θ 2 - 2 δ 0 1 1 + i Ω τ ] 1 / 2 ,
g = k 0 θ [ 2 δ 0 - θ 2 ] 1 / 2 θ 2 δ / 0 , = 0 θ 2 δ / 0 .
g max = k 0 δ 0
θ opt = δ 0 .
g = k 0 θ δ 0 .
z f π g ( θ diff ) = d 2 0 2 δ .
z i / z f = [ ln ( 3 / δ ) ] / 2 N 1 / 2 ,
δ = 2 E 2 ¯ 2 ,
2 = ρ 4 π 45 ( α - α ) 2 k T .
δ = 4 π n 0 c 2 I ,
P c = ( π 4 ) 2 c k 0 2 2 .
2 = 1.4 × 10 - 16 esu
δ = 5.7 × 10 - 13 I ,
z f = d 2 0 4 h δ ,
r 0 = 0.18 λ 6 / 5 [ C n 2 ( h ) d h ] - 3 / 5 .
θ s = λ r 0 ,
θ s = 1 0.18 λ - 1 / 5 [ C n 2 ( h ) d h ] 3 / 5 .
d eff = d ( 3.4 P c / P ) 1 / 2 .

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