Abstract

We show both theoretically and experimentally by degenerate four-wave mixing that the combined processes of optical rectification and the linear electro-optic effect contribute to the large effective third-order susceptibilities 14χ3CS2 of the organic salt 4N,N^dimethylamino4N-methylstilbazolium toluenepsulfonate (DAST). Furthermore, the knowledge of the cascaded contributions was used to determine absolute values of the third-order susceptibilities as well as their sign.

© 1999 Optical Society of America

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  1. L. A. Ostrovskii, JETP Lett. 5, 272 (1967).
  2. R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, Opt. Lett. 17, 28 (1992).
    [CrossRef] [PubMed]
  3. C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
    [CrossRef] [PubMed]
  4. M. Zgonik and P. Günter, J. Opt. Soc. Am. B 13, 570 (1995).
    [CrossRef]
  5. D. Y. Kim, W. E. Torruellas, J. Kang, C. Bosshard, G. I. Stegeman, P. Vidakovic, J. Zyss, W. E. Moerner, R. Twieg, and G. Bjorklund, Opt. Lett. 19, 868 (1994).
    [CrossRef] [PubMed]
  6. S. R. Marder, J. W. Perry, and W. P. Schaeffer, Science 245, 626 (1989).
    [CrossRef] [PubMed]
  7. F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
    [CrossRef]
  8. U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
    [CrossRef]
  9. I. Biaggio, Phys. Rev. Lett. 82, 193 (1998).
    [CrossRef]
  10. C. Flytzanis and N. Bloembergen, Prog. Quantum Electron. 4, 271 (1976).
    [CrossRef]
  11. M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
    [CrossRef]

1998 (2)

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

I. Biaggio, Phys. Rev. Lett. 82, 193 (1998).
[CrossRef]

1996 (1)

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

1995 (2)

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

M. Zgonik and P. Günter, J. Opt. Soc. Am. B 13, 570 (1995).
[CrossRef]

1994 (1)

1992 (1)

1990 (1)

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

1989 (1)

S. R. Marder, J. W. Perry, and W. P. Schaeffer, Science 245, 626 (1989).
[CrossRef] [PubMed]

1976 (1)

C. Flytzanis and N. Bloembergen, Prog. Quantum Electron. 4, 271 (1976).
[CrossRef]

1967 (1)

L. A. Ostrovskii, JETP Lett. 5, 272 (1967).

Biaggio, I.

I. Biaggio, Phys. Rev. Lett. 82, 193 (1998).
[CrossRef]

Bjorklund, G.

Bloembergen, N.

C. Flytzanis and N. Bloembergen, Prog. Quantum Electron. 4, 271 (1976).
[CrossRef]

Bösch, M.

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

Bosshard, C.

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

D. Y. Kim, W. E. Torruellas, J. Kang, C. Bosshard, G. I. Stegeman, P. Vidakovic, J. Zyss, W. E. Moerner, R. Twieg, and G. Bjorklund, Opt. Lett. 19, 868 (1994).
[CrossRef] [PubMed]

DeSalvo, R.

Flytzanis, C.

C. Flytzanis and N. Bloembergen, Prog. Quantum Electron. 4, 271 (1976).
[CrossRef]

Follonier, S.

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

Günter, P.

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

M. Zgonik and P. Günter, J. Opt. Soc. Am. B 13, 570 (1995).
[CrossRef]

Hagan, D. J.

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

Kang, J.

Kim, D. Y.

Knöpfle, G.

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

Marder, S. R.

S. R. Marder, J. W. Perry, and W. P. Schaeffer, Science 245, 626 (1989).
[CrossRef] [PubMed]

Meier, U.

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

Moerner, W. E.

Ostrovskii, L. A.

L. A. Ostrovskii, JETP Lett. 5, 272 (1967).

Pan, F.

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

Perry, J. W.

S. R. Marder, J. W. Perry, and W. P. Schaeffer, Science 245, 626 (1989).
[CrossRef] [PubMed]

Said, A. A.

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

Schaeffer, W. P.

S. R. Marder, J. W. Perry, and W. P. Schaeffer, Science 245, 626 (1989).
[CrossRef] [PubMed]

Sheik-Bahae, M.

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

Spreiter, R.

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

Stegeman, G.

Stegeman, G. I.

Tai-Huei, W.

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

Torruellas, W. E.

Twieg, R.

Van Stryland, E. W.

R. DeSalvo, D. J. Hagan, M. Sheik-Bahae, G. Stegeman, E. W. Van Stryland, and H. Vanherzeele, Opt. Lett. 17, 28 (1992).
[CrossRef] [PubMed]

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

Vanherzeele, H.

Vidakovic, P.

Wong, M. S.

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

Zgonik, M.

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

M. Zgonik and P. Günter, J. Opt. Soc. Am. B 13, 570 (1995).
[CrossRef]

Zyss, J.

Appl. Phys. Lett. (1)

F. Pan, G. Knöpfle, C. Bosshard, S. Follonier, R. Spreiter, M. S. Wong, and P. Günter, Appl. Phys. Lett. 69, 13 (1996).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Sheik-Bahae, A. A. Said, W. Tai-Huei, D. J. Hagan, and E. W. Van Stryland, IEEE J. Quantum Electron. 26, 760 (1990) the value of ?3CS2 is based on a weighted average of n2 measured at 532 and 1064??nm and a refractive index of 1.62 (all for CS2).
[CrossRef]

J. Appl. Phys. (1)

U. Meier, M. Bösch, C. Bosshard, F. Pan, and P. Günter, J. Appl. Phys. 83, 3486 (1998).
[CrossRef]

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

JETP Lett. (1)

L. A. Ostrovskii, JETP Lett. 5, 272 (1967).

Opt. Lett. (2)

Phys. Rev. Lett. (2)

C. Bosshard, R. Spreiter, M. Zgonik, and P. Günter, Phys. Rev. Lett. 74, 2816 (1995).
[CrossRef] [PubMed]

I. Biaggio, Phys. Rev. Lett. 82, 193 (1998).
[CrossRef]

Prog. Quantum Electron. (1)

C. Flytzanis and N. Bloembergen, Prog. Quantum Electron. 4, 271 (1976).
[CrossRef]

Science (1)

S. R. Marder, J. W. Perry, and W. P. Schaeffer, Science 245, 626 (1989).
[CrossRef] [PubMed]

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Figures (2)

Fig. 1
Fig. 1

Schematic of degenerate four-wave mixing for the case of χ11113. (a) Configuration  1: the a axis is in the plane of incidence. (b) Configuration  2: the a axis is perpendicular to the plane of incidence. The arrows indicate the beam directions and, in (a), their polarizations.

Fig. 2
Fig. 2

Cascaded optical rectification and the linear electro-optic effect in degenerate four-wave mixing for the case of χ21213 of DAST. In the longitudinal case, beams  1 and 3 generate a spatially modulated static polariza-tion with the grating vector along the crystallographic a axis by the second-order susceptibility χ11120,-ω,ω. Beam  2 can interact with this grating through χ2212-ω,ω,0 to generate beam  4. Analogously, for the transverse grating, beams  2 and 3 produce a polarization grating that interacts with beam  1 to generate beam  4. kG is the grating vector. In both cases the two writing beams are indicated in boldface.

Tables (1)

Tables Icon

Table 1 Measured [χeff(3)] and Calculated [χcasc(3) and χdir(3)] Third-Order Nonlinear Optical Susceptibilities (Suscept.)  for c Plates of DAST at λ=1064 nm (in Units of 10-22 m2V-2) a

Equations (4)

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

Piω,k4=3/2ε0χijkl3-ω,-ω,ω,ω;-k4,-k3,k2,k1×Ej*-ω,-k3Ekω,k2Elω,k1,
Er,t=12nEnω,knexpiknr-ωt+c.c..
χijkl,eff3=χijkl,dir3+χijkl,casc3,
χijkl,casc=16ni2nk2nj2nl2rikm-ω,ω,0rmjl0,-ω,ωεmm+2Cm+16ni2nl2nk2nj2riln-ω,ω,0rnkj0,-ω,ωεnn+2Cn,Cp=1,transverse case-2/εpp,longitudinal case,

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