Abstract

No abstract available.

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. T. Manassah, “The Amplitude and Phase of a Pulsed Second Harmonic Signal,” J. Opt. Soc. Am. B 4, 1235 (1987).
    [CrossRef]
  2. J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
    [CrossRef]
  3. See Eqs. (11) and (12) of Ref. 1.
  4. R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.
  5. S. A. Akhmanov, A. I. Kovrygin, H. P. Sukhorukov “Optical Harmonic Generation and Optical Frequency Multipliers,” in Quantum Electronics, Vol. 1, H. Rabin, C. L. Tang (Academic, New York, 1975), p. 475.

1987 (1)

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
[CrossRef]

Akhmanov, S. A.

S. A. Akhmanov, A. I. Kovrygin, H. P. Sukhorukov “Optical Harmonic Generation and Optical Frequency Multipliers,” in Quantum Electronics, Vol. 1, H. Rabin, C. L. Tang (Academic, New York, 1975), p. 475.

Alfano, R. R.

R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
[CrossRef]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
[CrossRef]

Ho, P. P.

R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.

Jimbo, T.

R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.

Kovrygin, A. I.

S. A. Akhmanov, A. I. Kovrygin, H. P. Sukhorukov “Optical Harmonic Generation and Optical Frequency Multipliers,” in Quantum Electronics, Vol. 1, H. Rabin, C. L. Tang (Academic, New York, 1975), p. 475.

Lam, W.

R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.

Manassah, J. T.

Persham, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
[CrossRef]

Sukhorukov, H. P.

S. A. Akhmanov, A. I. Kovrygin, H. P. Sukhorukov “Optical Harmonic Generation and Optical Frequency Multipliers,” in Quantum Electronics, Vol. 1, H. Rabin, C. L. Tang (Academic, New York, 1975), p. 475.

Wang, Q. Z.

R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.

J. Opt. Soc. Am. B (1)

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Persham, “Interactions Between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918 (1962).
[CrossRef]

Other (3)

See Eqs. (11) and (12) of Ref. 1.

R. R. Alfano, Q. Z. Wang, T. Jimbo, W. Lam, P. P. Ho, “Dispersionless Propagation of Modulated Two-Photonlike Excitonic Polaritons in ZnSe,” in Advance Program, Fifteenth International Quantum Electronics Conference (Optical Society of America, Washington, DC, 1987), paper withdrawn.

S. A. Akhmanov, A. I. Kovrygin, H. P. Sukhorukov “Optical Harmonic Generation and Optical Frequency Multipliers,” in Quantum Electronics, Vol. 1, H. Rabin, C. L. Tang (Academic, New York, 1975), p. 475.

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 (2)

Fig. 1
Fig. 1

Magnitude of the second harmonic envelope as function of the normalized time (in units of primary pulse width). No absorption present. (a) ηz = 2, ξ/η′ = 10. The pump center is at U = −2. (b) ηz = 6, ξ/η′ = 20. The pump center is at U = −6.

Fig. 2
Fig. 2

Magnitude of the second harmonic envelope as a function of the normalized time (in units of primary pulse width). Absorption present. ηz = 6, ξ/η′ = 20, α/η′ = 0.15.

Equations (21)

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

E = ½ { A exp [ i ( k 1 z - ω 1 t ) ] + B exp [ i ( k 2 z - ω 2 t ) ] + c . c }
A z + 1 v 1 g A t = i A * B exp [ i ( k 2 - 2 k 1 ) z ] ,
B z + 1 v 2 g B t = i A 2 exp [ i ( k 2 - 2 k 1 ) z ] ,
= μ 0 ω c d 2 ,
B z = i A 2 ( u , z ) exp [ i ( k 2 - 2 k 1 ) z ]
A = a 0 F [ ( t - z / v 1 g ) / τ ] ,
B = i a 0 2 0 z F 2 { [ ( t - z / v 2 g ) + z ( 1 v 2 g - 1 v 1 g ) ] / τ } × exp [ - i ( k 2 - 2 k 1 ) z ] d z ,
B = i a 0 2 0 z sech 2 ( U + η z ) exp ( i ξ z ) d z ,
U = ( t - z / v 2 g ) τ ,
η = n 2 g - n 1 g c τ ,
ξ = 2 ω c ( n 2 p - n 1 p ) .
B = i a 0 2 η exp ( i ξ U / η ) U U + η z sech 2 ( y ) exp ( - i ξ y / η ) d y .
ξ / n = 2 ω τ ( n 2 p - n 1 p ) ( n 2 g - n 1 g ) ,
B = i a 0 2 z sech 2 ( U ) .
B a = i a 0 2 η exp ( - α z ) exp [ U ( - α η + i ξ η ) ] × U U + η z sech 2 ( y ) exp ( α - i ξ η y ) d y .
B a ( U = - η z ) a 0 2 ( α 2 + ξ 2 ) 1 / 2 ,
B a ( U = 0 ) exp ( - α z ) B a ( U = - η z ) .
S ( ω ) α B ¯ ( ω ) 2 ,
B ¯ ( ω ) = - exp [ i ( ω - 2 ω ) t ] B ( t ) d t = - 2 ( a 0 2 τ ) η ( Δ π / 2 ) ( ξ η + Δ i α η ) × { exp [ - i η z ( ξ η + Δ ) ] - exp ( - α z ) } sinh ( Δ π / 2 ) ,
Δ = ( ω - 2 ω ) τ .
δ ~ π c ( n 2 g - n 1 g ) z ;

Metrics