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## Effect of electro-optic modulation on coupled quasi-phase-matched frequency conversion

Cheng-Ping Huang, Yue-Hua Wang, and Yong-Yuan Zhu »View Author Affiliations

Cheng-Ping Huang, Yue-Hua Wang, Yong-Yuan Zhu

*Nanjing University*

Applied Optics, Vol. 44, Issue 23, pp. 4980-4984 (2005)

http://dx.doi.org/10.1364/AO.44.004980

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### Abstract

The electro-optic effect can be employed to modulate the refractive index of an optical superlattice. In coupled quasi-phase matched processes, this modulation will introduce quasi-phase mismatches and result in energy redistribution among the optical waves. Numerical results indicate that an efficient third harmonic in a periodic or quasi-periodic superlattice can be achieved by varying the external dc electric field. This method provides a simple and convenient way to control the efficiencies of frequency conversion.

© 2005 Optical Society of America

**OCIS Codes**

(190.2620) Nonlinear optics : Harmonic generation and mixing

(190.4410) Nonlinear optics : Nonlinear optics, parametric processes

**Citation**

Cheng-Ping Huang, Yue-Hua Wang, and Yong-Yuan Zhu, "Effect of electro-optic modulation on coupled quasi-phase-matched frequency conversion," Appl. Opt. **44**, 4980-4984 (2005)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-23-4980

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### References

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- G. Z. Luo, S. N. Zhu, J. L. He, Y. Y. Zhu, H. T. Wang, Z. W. Liu, C. Zhang, and N. B. Ming, "Simultaneously efficient blue and red light generations in a periodically poled LiTaO3," Appl. Phys. Lett. 78, 3006-3008 (2001). [CrossRef]
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- D. A. Scrymgeour, A. Sharan, V. Gopalan, K. T. Gahagan, and J. L. Casson, "Cascaded electro-optic scanning of laser light over large angles using domain microengineered ferroelectrics," Appl. Phys. Lett. 81, 3140-3142 (2002). [CrossRef]
- Y. Q. Lu, J. J. Zheng, Y. L. Lu, and N. B. Ming, "Frequency tuning of optical parametric generator in periodically poled optical superlattice LiNbO3 by electro-optic effect," Appl. Phys. Lett. 74, 123-125 (1999). [CrossRef]
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- R. K. P. Zia and W. J. Dallas, "A simple derivation of quasi-crystalline spectra," J. Phys. A 18, L341-L345 (1985).
- C. Zhang, H. Wei, Y. Y. Zhu, H. T. Wang, S. N. Zhu, and N. B. Ming, "Third-harmonic generation in a general two-component quasi-periodic optical superlattice," Opt. Lett. 26, 899-901 (2001).
- J. P. Meyn and M. M. Fejer, "Tunable ultraviolet radiation by second-harmonic generation in periodically poled lithium tantalate," Opt. Lett. 22, 1214-1216 (1997).

**Arie, A.**

- K. K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).

**Byer, R. L.**

- R. L. Byer, "Quasi-phase-matched nonlinear interactions and devices," J. Nonlinear Opt. Phys. Mater. 6, 549-592 (1997). [CrossRef]
- M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation: tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992). [CrossRef]

**Casson, J. L.**

- D. A. Scrymgeour, A. Sharan, V. Gopalan, K. T. Gahagan, and J. L. Casson, "Cascaded electro-optic scanning of laser light over large angles using domain microengineered ferroelectrics," Appl. Phys. Lett. 81, 3140-3142 (2002). [CrossRef]
- K. T. Gahagan, D. A. Scrymgeour, J. L. Casson, V. Gopalan, and J. M. Robinson, "Integrated high-power electro-optic lens and large-angle deflector," Appl. Opt. 40, 5638-5642 (2001).

**Chen, Y. B.**

**Chen, Y. F.**

- Y. H. Chen, F. C. Fan, Y. Y. Lin, Y. C. Huang, J. T. Shy, Y. P. Lan, Y. F. Chen, "Simultaneous amplitude modulation and wavelength conversion in an asymmetric-duty-cycle periodically poled lithium niobate," Opt. Commun. 223, 417-423 (2003). [CrossRef]

**Chen, Y. H.**

- Y. H. Chen, F. C. Fan, Y. Y. Lin, Y. C. Huang, J. T. Shy, Y. P. Lan, Y. F. Chen, "Simultaneous amplitude modulation and wavelength conversion in an asymmetric-duty-cycle periodically poled lithium niobate," Opt. Commun. 223, 417-423 (2003). [CrossRef]

**Dallas, W. J.**

- R. K. P. Zia and W. J. Dallas, "A simple derivation of quasi-crystalline spectra," J. Phys. A 18, L341-L345 (1985).

**Dominic, V.**

**Fan, F. C.**

**Fejer, M. M.**

- J. P. Meyn and M. M. Fejer, "Tunable ultraviolet radiation by second-harmonic generation in periodically poled lithium tantalate," Opt. Lett. 22, 1214-1216 (1997).
- M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, "Quasi-phase-matched second harmonic generation: tuning and tolerances," IEEE J. Quantum Electron. 28, 2631-2654 (1992). [CrossRef]

**Feng, D.**

- D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, "Enhancement of second-harmonic generation in LiNbO3 crystals with periodic laminar ferroelectric domains," Appl. Phys. Lett. 37, 607-609 (1980). [CrossRef]

**Feng, J.**

- J. Feng, Y. Y. Zhu, and N. B. Ming, "Harmonic generations in an optical Fibonacci superlattice," Phys. Rev. B 41, 5578-5582 (1990). [CrossRef]

**Fradkin, K. K.**

- K. K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, "Multiple nonlinear optical interactions with arbitrary wave vector differences," Phys. Rev. Lett. 88, 023903 (2002).

**Gahagan, K. T.**

- D. A. Scrymgeour, A. Sharan, V. Gopalan, K. T. Gahagan, and J. L. Casson, "Cascaded electro-optic scanning of laser light over large angles using domain microengineered ferroelectrics," Appl. Phys. Lett. 81, 3140-3142 (2002). [CrossRef]
- K. T. Gahagan, D. A. Scrymgeour, J. L. Casson, V. Gopalan, and J. M. Robinson, "Integrated high-power electro-optic lens and large-angle deflector," Appl. Opt. 40, 5638-5642 (2001).

**Ge, C. Z.**

- S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, "Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3," Phys. Rev. Lett. 78, 2752-2755 (1997). [CrossRef]

**Gopalan, V.**

**He, J. L.**

- P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional chi(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).
- Z. W. Liu, S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, J. L. He, C. Zhang, H. T. Wang, N. B. Ming, X. Y. Liang, and Z. Y. Xu, "Quasi-cw ultraviolet generation in a dual-periodic LiTaO3 superlattice by frequency tripling," Jpn. J. Appl. Phys. 40, 6841-6844 (2001). [CrossRef]
- G. Z. Luo, S. N. Zhu, J. L. He, Y. Y. Zhu, H. T. Wang, Z. W. Liu, C. Zhang, and N. B. Ming, "Simultaneously efficient blue and red light generations in a periodically poled LiTaO3," Appl. Phys. Lett. 78, 3006-3008 (2001). [CrossRef]

**Hong, J. F.**

- D. Feng, N. B. Ming, J. F. Hong, Y. S. Yang, J. S. Zhu, Z. Yang, and Y. N. Wang, "Enhancement of second-harmonic generation in LiNbO3 crystals with periodic laminar ferroelectric domains," Appl. Phys. Lett. 37, 607-609 (1980). [CrossRef]

**Huang, Y. C.**

**Ji, S. H.**

- P. Xu, S. H. Ji, S. N. Zhu, X. Q. Yu, J. Sun, H. T. Wang, J. L. He, Y. Y. Zhu, and N. B. Ming, "Conical second harmonic generation in a two-dimensional chi(2) photonic crystal: a hexagonally poled LiTaO3 crystal," Phys. Rev. Lett. 93, 133904 (2004).

**Jundt, D. H.**

**Lan, Y. P.**

**Liang, X. Y.**

- Z. W. Liu, S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, J. L. He, C. Zhang, H. T. Wang, N. B. Ming, X. Y. Liang, and Z. Y. Xu, "Quasi-cw ultraviolet generation in a dual-periodic LiTaO3 superlattice by frequency tripling," Jpn. J. Appl. Phys. 40, 6841-6844 (2001). [CrossRef]

**Lin, Y. Y.**

**Liu, H.**

**Liu, Z. W.**

- G. Z. Luo, S. N. Zhu, J. L. He, Y. Y. Zhu, H. T. Wang, Z. W. Liu, C. Zhang, and N. B. Ming, "Simultaneously efficient blue and red light generations in a periodically poled LiTaO3," Appl. Phys. Lett. 78, 3006-3008 (2001). [CrossRef]

**Lu, Y. L.**

- Y. Q. Lu, J. J. Zheng, Y. L. Lu, and N. B. Ming, "Frequency tuning of optical parametric generator in periodically poled optical superlattice LiNbO3 by electro-optic effect," Appl. Phys. Lett. 74, 123-125 (1999). [CrossRef]

**Lu, Y. Q.**

- Y. Q. Lu, M. Xiao, and G. J. Salamo, "Wide-bandwidth high-frequency electro-optic modulator based on periodically poled LiNbO3," Appl. Phys. Lett. 78, 1035-1037 (2001). [CrossRef]
- Y. Q. Lu, Z. L. Wang, Q. Wang, Y. X. Xi, and N. B. Ming, "Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications," Appl. Phys. Lett. 77, 3719-3721 (2000). [CrossRef]
- Y. Q. Lu, J. J. Zheng, Y. L. Lu, and N. B. Ming, "Frequency tuning of optical parametric generator in periodically poled optical superlattice LiNbO3 by electro-optic effect," Appl. Phys. Lett. 74, 123-125 (1999). [CrossRef]

**Luo, G. Z.**

**Magel, G. A.**

**Meyn, J. P.**

**Ming, N. B.**

- C. Zhang, H. Wei, Y. Y. Zhu, H. T. Wang, S. N. Zhu, and N. B. Ming, "Third-harmonic generation in a general two-component quasi-periodic optical superlattice," Opt. Lett. 26, 899-901 (2001).
- C. Zhang, Y. Y. Zhu, S. X. Yang, Y. Q. Qin, S. N. Zhu, Y. B. Chen, H. Liu, and N. B. Ming, "Crucial effects of coupling coefficients on quasi-phase-matched harmonic generation in an optical superlattice," Opt. Lett. 25, 436-438 (2000).
- Y. Q. Lu, Z. L. Wang, Q. Wang, Y. X. Xi, and N. B. Ming, "Electro-optic effect of periodically poled optical superlattice LiNbO3 and its applications," Appl. Phys. Lett. 77, 3719-3721 (2000). [CrossRef]
- Y. Y. Zhu and N. B. Ming, "Dielectric superlattices for nonlinear optical effects," Opt. Quantum Electron. 31, 1093-1128 (1999). [CrossRef]
- S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997). [CrossRef]
- S. N. Zhu, Y. Y. Zhu, Y. Q. Qin, H. F. Wang, C. Z. Ge, and N. B. Ming, "Experimental realization of second harmonic generation in a Fibonacci optical superlattice of LiTaO3," Phys. Rev. Lett. 78, 2752-2755 (1997). [CrossRef]
- J. Feng, Y. Y. Zhu, and N. B. Ming, "Harmonic generations in an optical Fibonacci superlattice," Phys. Rev. B 41, 5578-5582 (1990). [CrossRef]

**Missey, M.**

**O'Brien, N.**

**Powers, P.**

**Qin, Y. Q.**

- C. Zhang, Y. Y. Zhu, S. X. Yang, Y. Q. Qin, S. N. Zhu, Y. B. Chen, H. Liu, and N. B. Ming, "Crucial effects of coupling coefficients on quasi-phase-matched harmonic generation in an optical superlattice," Opt. Lett. 25, 436-438 (2000).

**Robinson, J. M.**

**Rosenman, G.**

**Salamo, G. J.**

- Y. Q. Lu, M. Xiao, and G. J. Salamo, "Wide-bandwidth high-frequency electro-optic modulator based on periodically poled LiNbO3," Appl. Phys. Lett. 78, 1035-1037 (2001). [CrossRef]

**Schepler, K. L.**

**Scrymgeour, D. A.**

**Sharan, A.**

**Shy, J. T.**

**Sun, J.**

**Urenski, P.**

**Wang, H. F.**

**Wang, H. T.**

- C. Zhang, H. Wei, Y. Y. Zhu, H. T. Wang, S. N. Zhu, and N. B. Ming, "Third-harmonic generation in a general two-component quasi-periodic optical superlattice," Opt. Lett. 26, 899-901 (2001).

**Wang, Q.**

**Wang, Y. N.**

**Wang, Z. L.**

**Wei, H.**

**Xi, Y. X.**

**Xiao, M.**

**Xu, P.**

**Xu, Z. Y.**

**Yang, S. X.**

**Yang, Y. S.**

**Yang, Z.**

**Yu, X. Q.**

**Zhang, C.**

**Zheng, J. J.**

**Zhu, J. S.**

**Zhu, S. N.**

- S. N. Zhu, Y. Y. Zhu, and N. B. Ming, "Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice," Science 278, 843-846 (1997). [CrossRef]

**Zhu, Y. Y.**

- Y. Y. Zhu and N. B. Ming, "Dielectric superlattices for nonlinear optical effects," Opt. Quantum Electron. 31, 1093-1128 (1999). [CrossRef]

**Zia, R. K. P.**

- R. K. P. Zia and W. J. Dallas, "A simple derivation of quasi-crystalline spectra," J. Phys. A 18, L341-L345 (1985).

### Appl. Opt.

### Appl. Phys. Lett.

### IEEE J. Quantum Electron.

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### Jpn. J. Appl. Phys.

### Opt. Commun.

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### Opt. Quantum Electron.

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### Phys. Rev. Lett.

### Science

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**2002, Scrymgeour, Appl. Phys. Lett.**

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**1997, Zhu, Science**

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**1992, Fejer, IEEE J. Quantum Electron.**

**1990, Feng, Phys. Rev. B**

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