Abstract

Coupling of optical parametric processes in an optical superlattice through quadratic nonlinearity was analyzed theoretically. Solving the coupled equations, we found that efficient quasi-phase-matched third-harmonic (TH) generation depends not only on the magnitude of the coupling coefficients but also on their ratio. Theoretically, all the fundamental energy can be transferred to the TH at a particular ratio. In other cases, there exists an optimum condition that corresponds to a maximum TH conversion efficiency. The result is of practical importance for the design of TH devices.

© 2000 Optical Society of America

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Errata

Chao Zhang, Yong-yuan Zhu, Su-xia Yang, Yi-qiang Qin, Shi-ning Zhu, Yan-bin Chen, Hui Liu, and Nai-ben Ming, "Crucial effects of coupling coefficients on quasi-phase-matched harmonic generation in an optical superlattice: errata," Opt. Lett. 25, 988-988 (2000)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-25-13-988

References

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J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
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Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
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1962

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Arbore, M. A.

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J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Aytur, O.

Batchko, R. G.

Betterworth, S. D.

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Bosenberg, W. R.

Burr, K. C.

Byer, R. L.

Chou, M. H.

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Eckardt, R. C.

Eger, D.

Fejer, M. M.

Feng, J.

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
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Fu, J. S.

Y. Y. Zhu, R. F. Xiao, J. S. Fu, and G. K. L. Wong, Appl. Phys. Lett. 73, 432 (1998).
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Fujimura, M.

K. Kintaka, M. Fujimura, T. Suhara, and H. Nishihara, Electron. Lett. 33, 1459 (1997).
[CrossRef]

Galvanauskas, A.

Ge, C. Z.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Hanna, D. C.

Harter, D.

Hollberg, L.

Kartaloglu, T.

Katz, M.

King, T. A.

D. L. Williams, D. P. West, and T. A. King, Opt. Commun. 148, 208 (1998).
[CrossRef]

Kintaka, K.

K. Kintaka, M. Fujimura, T. Suhara, and H. Nishihara, Electron. Lett. 33, 1459 (1997).
[CrossRef]

Koprulu, K. G.

Korenfeld, A.

Kumar, P.

Landry, G. D.

Levenson, M. D.

Maldonado, T. A.

Miller, G. D.

Ming, N. B.

Y. Y. Zhu and N. B. Ming, Opt. Quantum Electron. 31, 1093 (1999).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

Myers, L. E.

Nishihara, H.

K. Kintaka, M. Fujimura, T. Suhara, and H. Nishihara, Electron. Lett. 33, 1459 (1997).
[CrossRef]

Oron, M.

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Pfister, O.

Pruneri, V.

Qin, Y. Q.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Risk, W. P.

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K. Kintaka, M. Fujimura, T. Suhara, and H. Nishihara, Electron. Lett. 33, 1459 (1997).
[CrossRef]

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Tang, C. L.

Tulloch, W. M.

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S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Weise, D. R.

Wells, J. S.

West, D. P.

D. L. Williams, D. P. West, and T. A. King, Opt. Commun. 148, 208 (1998).
[CrossRef]

Williams, D. L.

D. L. Williams, D. P. West, and T. A. King, Opt. Commun. 148, 208 (1998).
[CrossRef]

Wong, G. K. L.

Y. Y. Zhu, R. F. Xiao, J. S. Fu, and G. K. L. Wong, Appl. Phys. Lett. 73, 432 (1998).
[CrossRef]

Xiao, R. F.

Y. Y. Zhu, R. F. Xiao, J. S. Fu, and G. K. L. Wong, Appl. Phys. Lett. 73, 432 (1998).
[CrossRef]

Zhu, S. N.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Zhu, Y. Y.

Y. Y. Zhu and N. B. Ming, Opt. Quantum Electron. 31, 1093 (1999).
[CrossRef]

Y. Y. Zhu, R. F. Xiao, J. S. Fu, and G. K. L. Wong, Appl. Phys. Lett. 73, 432 (1998).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Zink, L.

Appl. Phys. Lett.

Y. Y. Zhu, R. F. Xiao, J. S. Fu, and G. K. L. Wong, Appl. Phys. Lett. 73, 432 (1998).
[CrossRef]

Electron. Lett.

K. Kintaka, M. Fujimura, T. Suhara, and H. Nishihara, Electron. Lett. 33, 1459 (1997).
[CrossRef]

Opt. Commun.

D. L. Williams, D. P. West, and T. A. King, Opt. Commun. 148, 208 (1998).
[CrossRef]

Opt. Lett.

Opt. Quantum Electron.

Y. Y. Zhu and N. B. Ming, Opt. Quantum Electron. 31, 1093 (1999).
[CrossRef]

Phys. Rev.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. B

J. Feng, Y. Y. Zhu, and N. B. Ming, Phys. Rev. B 41, 5578 (1990).
[CrossRef]

Y. Y. Zhu and N. B. Ming, Phys. Rev. B 42, 3676 (1990).
[CrossRef]

Phys. Rev. Lett.

S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, Phys. Rev. Lett. 78, 2752 (1997).
[CrossRef]

Science

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

Dependence of the optical intensities of the parameter κ2A10L on the ratio of the two coupling coefficients: (a) 0.5, (b) 1.5, (c) 0.8858.

Fig. 2
Fig. 2

Dependence of the conversion efficiency ηmax on the ratio of the coupling coefficients.

Equations (6)

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

dA1dx=-iκ1A1*A2 exp-iΔk1x-iκ2A2*A3 exp-iΔk2x,dA2dx=-1/2iκ1A12 expiΔk1x-iκ2A1*A3 exp-iΔk2x,dA3dx=-iκ2A1A2 expiΔk2x,
Ai=ni/ωiEi, i=1,2,3,Δk1=k2ω-2kω-Ga, Δk2=k3ω-k2ω-kω-Ga, κ1=fadeffcω12ω2n12n2, κ2=fadeffcω1ω2ω3n1n2n3.
y12+2y22+3y32=A102=1.
lny1=-12ln1+tu+u2+t/21-t221/2-arctanu+t/21-t221/2+-arctant/21-t221/2t<2-12ln1+tu+u2+t/2u+t/2-1,t=2.-12ln1+tu+u2+12t/2t22-11/2ln|u+t2+t22-11/2u+t2-t22-11/2|-2 lnt2+t22-11/2t>2
τ2=cos1-τ221/2τln 3.
ηmaxt=3 exp-t1-t221/2arccost/2τt<23 exp-2t=23t2+t22-11/2-tt22-11/2t>2.

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