Abstract

An incomplete period of the last quasi-phase-matching (QPM) segment in a periodically poled nonlinear crystal represents a key problem in implementing a nonlinear wavelength-conversion device with round-trip or oscillating waves of interaction. Such a segment at the crystal end implies broken QPM periodicity for the reflected waves of interaction. We demonstrate numerically that with a grating structure at the crystal end for the reflecting signal the wavelength-dependent phase shift at Bragg reflection can compensate for the phase mismatch of the reflected signal, idler, and pump of an optical parametric process. Therefore, by slightly shifting the signal wavelength we can maintain the phase-matching condition with any length of the last QPM segment. It is shown that with a grating structure the conversion efficiency of the round-trip optical parametric process can always be optimized.

© 1999 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. G. D. Miller, R. G. Batchko, W. M. Tulloch, D. R. Weise, M. M. Fejer, and R. L. Byer, Opt. Lett. 22, 1834 (1997).
    [CrossRef]
  2. L. E. Myers and W. R. Bosenberg, IEEE J. Quantum Electron. 33, 1663 (1997).
    [CrossRef]
  3. T. J. Edwards, G. A. Turnbull, M. H. Dunn, M. Ebrahimzadeh, H. Karlsson, G. Arvidsson, and F. Laurell, Opt. Lett. 23, 837 (1998).
    [CrossRef]
  4. M. E. Klein, D.-H. Lee, J.-P. Meyn, B. Beier, K.-J. Boller, and R. Wallenstein, Opt. Lett. 23, 831 (1998).
    [CrossRef]
  5. K. C. Burr, C. L. Tang, M. A. Arbore, and M. M. Fejer, Appl. Phys. Lett. 70, 3341 (1997).
    [CrossRef]
  6. C. McGowan, D. T. Reid, Z. E. Penman, M. Ebrahimzadeh, and W. Sibbett, J. Opt. Soc. Am. B 15, 694 (1998).
    [CrossRef]
  7. G. Imeshev, M. Proctor, and M. M. Fejer, Opt. Lett. 23, 165 (1998).
    [CrossRef]
  8. C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
    [CrossRef]
  9. G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
    [CrossRef]

1998

1997

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

K. C. Burr, C. L. Tang, M. A. Arbore, and M. M. Fejer, Appl. Phys. Lett. 70, 3341 (1997).
[CrossRef]

G. D. Miller, R. G. Batchko, W. M. Tulloch, D. R. Weise, M. M. Fejer, and R. L. Byer, Opt. Lett. 22, 1834 (1997).
[CrossRef]

L. E. Myers and W. R. Bosenberg, IEEE J. Quantum Electron. 33, 1663 (1997).
[CrossRef]

1996

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Arbore, M. A.

K. C. Burr, C. L. Tang, M. A. Arbore, and M. M. Fejer, Appl. Phys. Lett. 70, 3341 (1997).
[CrossRef]

Arvidsson, G.

Batchko, R. G.

Beier, B.

Boller, K.-J.

Bosenberg, W. R.

L. E. Myers and W. R. Bosenberg, IEEE J. Quantum Electron. 33, 1663 (1997).
[CrossRef]

Burr, K. C.

K. C. Burr, C. L. Tang, M. A. Arbore, and M. M. Fejer, Appl. Phys. Lett. 70, 3341 (1997).
[CrossRef]

Byer, R. L.

Chang, Y.

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

Chao, C. Y.

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

Chen, C. Y.

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

Ding, D. S.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Dunn, M. H.

Ebrahimzadeh, M.

Edwards, T. J.

Fejer, M. M.

Ge, C. Z.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Guo, X. L.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Imeshev, G.

Karlsson, H.

Klein, M. E.

Laurell, F.

Lee, D.-H.

Liu, C. W.

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

Liu, Z. G.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Lu, Y. L.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Lu, Y. Q.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Lu, Z. H.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Luo, G. P.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

McGowan, C.

Meyn, J.-P.

Miller, G. D.

Ming, N. B.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Myers, L. E.

L. E. Myers and W. R. Bosenberg, IEEE J. Quantum Electron. 33, 1663 (1997).
[CrossRef]

Penman, Z. E.

Proctor, M.

Reid, D. T.

Sibbett, W.

Tang, C. L.

K. C. Burr, C. L. Tang, M. A. Arbore, and M. M. Fejer, Appl. Phys. Lett. 70, 3341 (1997).
[CrossRef]

Tulloch, W. M.

Turnbull, G. A.

Wallenstein, R.

Weise, D. R.

Wu, J. W.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Xiong, S. B.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Yang, C. C.

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

Zhu, Y. Y.

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

Appl. Phys. Lett.

K. C. Burr, C. L. Tang, M. A. Arbore, and M. M. Fejer, Appl. Phys. Lett. 70, 3341 (1997).
[CrossRef]

C. Y. Chao, C. Y. Chen, C. W. Liu, Y. Chang, and C. C. Yang, Appl. Phys. Lett. 71, 2442 (1997).
[CrossRef]

G. P. Luo, Y. L. Lu, Y. Q. Lu, X. L. Guo, S. B. Xiong, C. Z. Ge, Y. Y. Zhu, Z. G. Liu, N. B. Ming, J. W. Wu, D. S. Ding, and Z. H. Lu, Appl. Phys. Lett. 69, 1352 (1996).
[CrossRef]

IEEE J. Quantum Electron.

L. E. Myers and W. R. Bosenberg, IEEE J. Quantum Electron. 33, 1663 (1997).
[CrossRef]

J. Opt. Soc. Am. B

Opt. Lett.

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 (4)

Fig. 1
Fig. 1

Layouts of the two devices for comparison: (a) de-vice with the coating, (b) device with a grating structure.

Fig. 2
Fig. 2

Reflectance and phase shift of the reflected wave from the chirped grating without (curves without symbols) and with (curves with symbols) the nonlinear effect.

Fig. 3
Fig. 3

Output signal intensity as a function of wavelength for four different Li values. The curves without symbols and with symbols represent the results for the coating and the grating devices, respectively.

Fig. 4
Fig. 4

Output signal intensity as a function of Li for three different pump-wave reflectance levels Rp at the right-hand facet. The solid and open symbols represent the results for the grating and the coating devices, respectively.

Equations (6)

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

As+z=-jκnlAi+*Ap+exp-jΔkz-jκAs-exp2jδz,
Ai+z=-jκnlAs+*Ap+exp-jΔkz,
Ap+z=-jκnlAs+Ai+expjΔkz,
As-z=jκnlAi-*Ap-expjΔkz+jκAs-exp-2jδz,
Ai-z=jκnlAs-*Ap-expjΔkz,
Ap-z=jκnlAs-Ai-exp-jΔkz.

Metrics