Abstract

It is shown that in the paraxial approximation the conditions for noncollinear phase matching for three-wave parametric interaction in a nonlinear crystal coincide with the conditions for generation of focus wave modes. As a result, the creation of broadband localized optical fields (pulsed beams without diffraction and dispersion spreading) inside the crystals of parametric generators is feasible.

© 2002 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. N. Brittingham, J. Appl. Phys. 54, 1179 (1983).
    [CrossRef]
  2. J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
    [CrossRef]
  3. R. W. Ziolkowski, Phys. Rev. A 44, 651 (1987).
  4. J. Lu and J. G. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
    [CrossRef]
  5. J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
    [CrossRef]
  6. J. Durnin, J. J. Miceli, and J. M. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
    [CrossRef] [PubMed]
  7. P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
    [CrossRef]
  8. K. Reivelt and P. Saari, J. Opt. Soc. Am. A 17, 1785 (2000).
    [CrossRef]
  9. C. J. R. Sheppard, J. Opt. Soc. Am. A 18, 2594 (2001).
    [CrossRef]
  10. K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002).
    [CrossRef]
  11. H. Sonajalg and P. Saari, Opt. Lett. 21, 1162 (1996).
    [CrossRef]
  12. H. Sonajalg, M. Rätsep, and P. Saari, Opt. Lett. 22, 310 (1997).
    [CrossRef]
  13. M. A. Porras, Opt. Lett. 26, 1364 (2001).
    [CrossRef]
  14. M. A. Porras, R. Borghi, and M. Santarsiero, Opt. Commun. 206, 235 (2002).
    [CrossRef]
  15. S. Trillo, C. Conti, P. Di Trapani, O. Jedrkiewicz, J. Trull, G. Valiulis, and G. Bellanca, Opt. Lett. 27, 1451 (2002).
    [CrossRef]
  16. D. Magde, R. Scarlet, and H. Mahr, Appl. Phys. Lett. 11, 381 (1967).
    [CrossRef]
  17. A. P. Sukhorukov and A. K. Shchednova, Sov. Phys. JETP 60, 1251 (1971).
  18. A. Baltuška, A. Beržanskis, R. Gadonas, A. Pugžlys, V. Smilgevičius, and A. Stabinis, Opt. Lett. 20, 2174 (1995).
    [CrossRef]
  19. R. Danielius, A. Piskarskas, A. Stabinis, G. P. Banfi, P. Di Trapani, and R. Righini, J. Opt. Soc. Am. B 10, 2222 (1993).
    [CrossRef]

2002 (3)

K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002).
[CrossRef]

M. A. Porras, R. Borghi, and M. Santarsiero, Opt. Commun. 206, 235 (2002).
[CrossRef]

S. Trillo, C. Conti, P. Di Trapani, O. Jedrkiewicz, J. Trull, G. Valiulis, and G. Bellanca, Opt. Lett. 27, 1451 (2002).
[CrossRef]

2001 (2)

2000 (1)

1997 (2)

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

H. Sonajalg, M. Rätsep, and P. Saari, Opt. Lett. 22, 310 (1997).
[CrossRef]

1996 (2)

H. Sonajalg and P. Saari, Opt. Lett. 21, 1162 (1996).
[CrossRef]

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

1995 (1)

1993 (1)

1992 (1)

J. Lu and J. G. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

1987 (3)

J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

R. W. Ziolkowski, Phys. Rev. A 44, 651 (1987).

J. Durnin, J. J. Miceli, and J. M. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

1983 (1)

J. N. Brittingham, J. Appl. Phys. 54, 1179 (1983).
[CrossRef]

1971 (1)

A. P. Sukhorukov and A. K. Shchednova, Sov. Phys. JETP 60, 1251 (1971).

1967 (1)

D. Magde, R. Scarlet, and H. Mahr, Appl. Phys. Lett. 11, 381 (1967).
[CrossRef]

Baltuška, A.

Banfi, G. P.

Bellanca, G.

Beržanskis, A.

Borghi, R.

M. A. Porras, R. Borghi, and M. Santarsiero, Opt. Commun. 206, 235 (2002).
[CrossRef]

Brittingham, J. N.

J. N. Brittingham, J. Appl. Phys. 54, 1179 (1983).
[CrossRef]

Conti, C.

Danielius, R.

Di Trapani, P.

Durnin, J.

J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

J. Durnin, J. J. Miceli, and J. M. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Eberly, J. M.

J. Durnin, J. J. Miceli, and J. M. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Fagerholm, J.

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

Friberg, A. T.

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

Gadonas, R.

Greenleaf, J. G.

J. Lu and J. G. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

Huttunen, J.

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

Jedrkiewicz, O.

Lu, J.

J. Lu and J. G. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

Magde, D.

D. Magde, R. Scarlet, and H. Mahr, Appl. Phys. Lett. 11, 381 (1967).
[CrossRef]

Mahr, H.

D. Magde, R. Scarlet, and H. Mahr, Appl. Phys. Lett. 11, 381 (1967).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. M. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Morgan, D. P.

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

Piskarskas, A.

Porras, M. A.

M. A. Porras, R. Borghi, and M. Santarsiero, Opt. Commun. 206, 235 (2002).
[CrossRef]

M. A. Porras, Opt. Lett. 26, 1364 (2001).
[CrossRef]

Pugžlys, A.

Rätsep, M.

Reivelt, K.

K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002).
[CrossRef]

K. Reivelt and P. Saari, J. Opt. Soc. Am. A 17, 1785 (2000).
[CrossRef]

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

Righini, R.

Saari, P.

Salomaa, M. M.

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

Santarsiero, M.

M. A. Porras, R. Borghi, and M. Santarsiero, Opt. Commun. 206, 235 (2002).
[CrossRef]

Scarlet, R.

D. Magde, R. Scarlet, and H. Mahr, Appl. Phys. Lett. 11, 381 (1967).
[CrossRef]

Shchednova, A. K.

A. P. Sukhorukov and A. K. Shchednova, Sov. Phys. JETP 60, 1251 (1971).

Sheppard, C. J. R.

Smilgevicius, V.

Sonajalg, H.

Stabinis, A.

Sukhorukov, A. P.

A. P. Sukhorukov and A. K. Shchednova, Sov. Phys. JETP 60, 1251 (1971).

Trillo, S.

Trull, J.

Valiulis, G.

Ziolkowski, R. W.

R. W. Ziolkowski, Phys. Rev. A 44, 651 (1987).

Appl. Phys. Lett. (1)

D. Magde, R. Scarlet, and H. Mahr, Appl. Phys. Lett. 11, 381 (1967).
[CrossRef]

IEEE Trans. Ultrason. Ferroelectr. Freq. Control (1)

J. Lu and J. G. Greenleaf, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 19 (1992).
[CrossRef]

J. Appl. Phys. (1)

J. N. Brittingham, J. Appl. Phys. 54, 1179 (1983).
[CrossRef]

J. Opt. Soc. Am. A (3)

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

Opt. Commun. (1)

M. A. Porras, R. Borghi, and M. Santarsiero, Opt. Commun. 206, 235 (2002).
[CrossRef]

Opt. Lett. (5)

Phys. Rev. A (1)

R. W. Ziolkowski, Phys. Rev. A 44, 651 (1987).

Phys. Rev. E (2)

K. Reivelt and P. Saari, Phys. Rev. E 65, 046622 (2002).
[CrossRef]

J. Fagerholm, A. T. Friberg, J. Huttunen, D. P. Morgan, and M. M. Salomaa, Phys. Rev. E 54, 4347 (1996).
[CrossRef]

Phys. Rev. Lett. (2)

J. Durnin, J. J. Miceli, and J. M. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

P. Saari and K. Reivelt, Phys. Rev. Lett. 79, 4135 (1997).
[CrossRef]

Sov. Phys. JETP (1)

A. P. Sukhorukov and A. K. Shchednova, Sov. Phys. JETP 60, 1251 (1971).

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

Disposition of the wave vectors of signal ω1,k1, idler ω2,k2, and pump ω3,k3 waves in the xz plane.

Fig. 2
Fig. 2

Intensity distribution Iρ,η of OPG radiation in the longitudinal plane in a β-barium borate crystal for two values of Δp: (a) 0.1 and (b) 0.3. Type I phase matching; pump wavelength, 0.35 µm.

Equations (20)

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

Er,z,t=0SωJ0krexpikzz-ωtdω,
kωcos θ=ω/V+γ
Er,z/V-t=expiγz0SωJ0kr×expiωz/V-tdω,
ω1+ω2=ω3,k1+k2=k3
k1 sin θ1+k2 sin θ2=0, k1 cos θ1+k2 cos θ2=k3.
k1ω0+Δωθ1+k2ω0-Δωθ2=0, k1ω0+Δω+k2ω0-Δω-k3=k1ω0+Δωθ12+k2ω0-Δωθ22/2.
k1ω0+Δωk10+Δω/u1+g1Δω2/2, k2k20-Δω/u2+g2Δω2/2,
θ1=-θ2=θ, Δω2=k0/g0θ2.
ω1=ω0+θk0/g0, ω2=ω0-θk0/g0,
k0+Δω/u0+g0Δω2/2×1-θ2/2ω0+Δω/V+γ.
V=u0, γ=k0-ω0/u0, Δω2=k0/g0θ2.
k10θ1+k20θ2=0, Δω=k10θ12+k20θ22/2µ,
ω1=ω0+k10k32µk20θ2, ω2=ω0-k20k32µk10θ2,
k10+Δω/u11-θ12/2=ω0+Δω/V1+γ1.
γ1=k10-ω0/V1=ω01v1-1V1, 1u1-1V1Δω=k10θ12/2,
V1=k3u1u2k20u1+k10u2.
Ir,ξ-ω0FΩJ0rΩk0g0+rΩ2u0g0k0×exp-iξΩdΩ2,
Iρ,η-1FpJ0ρp+v0ρp2u0×exp-iηpdp2.
Iρ,η-J0ρp+v0ρp2u0×exp-p2/Δp2-iηpdp2.
Iρ,η-J0ρq+v0ρΔpq2u0×exp-q2-iηqdq2,

Metrics