Simultaneous perfect phase matching for second and third harmonic generations in ZnS/YF_{3} photonic crystal for visible emissions
Optics Express, Vol. 14, Issue 25, pp. 12353-12358 (2006)
http://dx.doi.org/10.1364/OE.14.012353
Acrobat PDF (170 KB)
Abstract
Theoretically designed and experimentally realized simultaneous perfect phase matching of second and third harmonic generations were demonstrated in a one-dimensional ZnS/YF_{3} photonic crystal (PC) structure. Dramatic enhancement of second harmonic generation (SHG) and third harmonic generation (THG) in forward and backward directions near the photonic band edge were observed. This enhancement came from a combination of large ZnS nonlinear susceptibility coefficients, high density of optical modes and perfect phase matching of the fundamental and the harmonic waves near the photonic band edge due to modification of the dispersion curve by the PC structure. Total SHG and THG conversion efficiency over 4% is measured in only six micrometers length of photonic crystal. Theoretical calculations show good agreement with experimental measurements.
© 2006 Optical Society of America
1. Introduction
1. E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987). [CrossRef] [PubMed]
5. H. Cheng and P. B. Miller, “Nonlinear Optical Theory in Solids,” Phys. Rev. 134, A683–A687 (1964). [CrossRef]
8. M. Centini, M. Scalora, C. Sibilia, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Dispersive properties of one-dimensional photonic band gap structures for second harmonic generation,” J. Opt. A: Pure Appl. Opt. 2, 121–126 (2000). [CrossRef]
11. Y. Dumeige, P. Vidakovic, S. Sauvage, I. Sagnes, J. A. Levenson, C. Sibilia, M. Centini, G. D. Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001). [CrossRef]
11. Y. Dumeige, P. Vidakovic, S. Sauvage, I. Sagnes, J. A. Levenson, C. Sibilia, M. Centini, G. D. Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001). [CrossRef]
14. A. V. Balakin, V. A. ushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “Enhancement of second-harmonicgeneration with femtosecond laser pulses near the photonicband edge for different polarizations of incident light,” Opt. Lett. 24, 793–795 (1999). [CrossRef]
16. H. Yang, P. Xie, S. K. Chan, Z. Q. Zhang, I. K. Sou, G. K. L. Wong, and K. S. Wong, “Efficienct second harmonic generation form large band gap II–VI semiconductor photonic crstal”, Appl. Phys. Lett. 97, 131106 (2005). [CrossRef]
18. P. P. Markowicz, H. Tiryaki, H. Pudavar, P. N. Prasad, Nick N. Lepeshkin, and Robert W. Boyd, “Dramatic Enhancement of Third-Harmonic Generation in Three-Dimensional Photonic Crystals,” Phys. Rev. Lett. 92, 083903 (2004). [CrossRef] [PubMed]
12. M. Centini, G. D’Aguanno, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Simultaneously phase-matched enhanced second and third harmonic generation,” Phys. Rev. E 64, 046606 (2001). [CrossRef]
13. V. V. Konotop and V. Kuzmiak, “Simultaneous second- and third-harmonic generation in one-dimensional photonic crystals,” J. Opt. Soc. Am. B 16, 1370–1376 (1999). [CrossRef]
19. Hui Yang, Ping Xie, S. K. Chan, Weixin Lu, Zhao-Qing Zhang, I. K. Sou, George K. L. Wong, and K. S. Wong, “Simultaneous enhancement of the second- and third-harmonic generations in one-dimensional semicounductor photonic crystals”, IEEE Quantum Electronic , 42, 447–451 (2006) [CrossRef]
20. D. S. Bethune, “Optical harmonic generation and mixing in multilayer media: analysis using optical transfer matrix techniques,” J. Opt. Soc. Am. B 6, 910–916 (1989). [CrossRef]
2. The method of simulation
3. The experiment results compared with the simulation
22. M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature , 432, 374–376, (2004). [CrossRef] [PubMed]
11. Y. Dumeige, P. Vidakovic, S. Sauvage, I. Sagnes, J. A. Levenson, C. Sibilia, M. Centini, G. D. Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001). [CrossRef]
16. H. Yang, P. Xie, S. K. Chan, Z. Q. Zhang, I. K. Sou, G. K. L. Wong, and K. S. Wong, “Efficienct second harmonic generation form large band gap II–VI semiconductor photonic crstal”, Appl. Phys. Lett. 97, 131106 (2005). [CrossRef]
23. Refractive index (n) for YF_{3} is the proprietary information of the manufacturer. However, according to the manufacturer, the n of SiO_{2} is almost the same as the YF_{3} in the wavelength region of our interest, and indeed, experimental measured transmission curve is in excellent agreement with our simulation (Fig. 1a).
4. Conclusion
Acknowledgments
References and links
1. | E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett. 58, 2059–2062 (1987). [CrossRef] [PubMed] |
2. | S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett. 58, 2486–2489 (1987). [CrossRef] [PubMed] |
3. | Photonic crystals: physics, fabrication and applications, edited by K. Inoue and K. Ohtaka (Springer Verlag, Berlin, 2004) |
4. | Nonlinear Photonic Crystals, edited by R. E. Slusher and B. J. Eggleton (Springer, Berlin2003) |
5. | H. Cheng and P. B. Miller, “Nonlinear Optical Theory in Solids,” Phys. Rev. 134, A683–A687 (1964). [CrossRef] |
6. | J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between Light Waves in a Nonlinear Dielectric,” Phys. Rev. 127, 1918–1939 (1962) [CrossRef] |
7. | P. A. Franken and J. F. Ward, “Optical Harmonics and Nonlinear Phenomena,” Rev. Mod. Phys. 35, 23–39 (1963). [CrossRef] |
8. | M. Centini, M. Scalora, C. Sibilia, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Dispersive properties of one-dimensional photonic band gap structures for second harmonic generation,” J. Opt. A: Pure Appl. Opt. 2, 121–126 (2000). [CrossRef] |
9. | N. Bloembergen and A. J. Sievers, “Nonlinear optical properties of periodic laminar structures,” Appl. Phys. Lett. 17, 483–486 (1970). [CrossRef] |
10. | J. P. Van der Ziel and M. Ilegem, “Optical second harmonic generation in periodic multilayer GaAs-Al_{0.3}Ga_{0.7}As structures,” Appl. Phys. Lett. 28, 437–439 (1976). [CrossRef] |
11. | Y. Dumeige, P. Vidakovic, S. Sauvage, I. Sagnes, J. A. Levenson, C. Sibilia, M. Centini, G. D. Aguanno, and M. Scalora, “Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap,” Appl. Phys. Lett. 78, 3021–3023 (2001). [CrossRef] |
12. | M. Centini, G. D’Aguanno, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, “Simultaneously phase-matched enhanced second and third harmonic generation,” Phys. Rev. E 64, 046606 (2001). [CrossRef] |
13. | V. V. Konotop and V. Kuzmiak, “Simultaneous second- and third-harmonic generation in one-dimensional photonic crystals,” J. Opt. Soc. Am. B 16, 1370–1376 (1999). [CrossRef] |
14. | A. V. Balakin, V. A. ushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher, and P. Masselin, “Enhancement of second-harmonicgeneration with femtosecond laser pulses near the photonicband edge for different polarizations of incident light,” Opt. Lett. 24, 793–795 (1999). [CrossRef] |
15. | M. G. Martemyanov, T. V. Dolgova, and A. A. Fedyanin, “Optical third-harmonic generation in one-dimensional photonic crystals and microcavities,” J. of Exp. And Theor. Phys. 98, 463–477 (2004). [CrossRef] |
16. | H. Yang, P. Xie, S. K. Chan, Z. Q. Zhang, I. K. Sou, G. K. L. Wong, and K. S. Wong, “Efficienct second harmonic generation form large band gap II–VI semiconductor photonic crstal”, Appl. Phys. Lett. 97, 131106 (2005). [CrossRef] |
17. | Y. R. Shen, The Principles of Nonlinear Optics (John Wiley & Sons, New York1984) |
18. | P. P. Markowicz, H. Tiryaki, H. Pudavar, P. N. Prasad, Nick N. Lepeshkin, and Robert W. Boyd, “Dramatic Enhancement of Third-Harmonic Generation in Three-Dimensional Photonic Crystals,” Phys. Rev. Lett. 92, 083903 (2004). [CrossRef] [PubMed] |
19. | Hui Yang, Ping Xie, S. K. Chan, Weixin Lu, Zhao-Qing Zhang, I. K. Sou, George K. L. Wong, and K. S. Wong, “Simultaneous enhancement of the second- and third-harmonic generations in one-dimensional semicounductor photonic crystals”, IEEE Quantum Electronic , 42, 447–451 (2006) [CrossRef] |
20. | D. S. Bethune, “Optical harmonic generation and mixing in multilayer media: analysis using optical transfer matrix techniques,” J. Opt. Soc. Am. B 6, 910–916 (1989). [CrossRef] |
21. | P. Xie and Z.Q. Zhang, “Optical phase conjugation in third-order nonlinear photonic crystals,” Phys. Rev. A 69, 053806 (2004). [CrossRef] |
22. | M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, “Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials,” Nature , 432, 374–376, (2004). [CrossRef] [PubMed] |
23. | Refractive index (n) for YF_{3} is the proprietary information of the manufacturer. However, according to the manufacturer, the n of SiO_{2} is almost the same as the YF_{3} in the wavelength region of our interest, and indeed, experimental measured transmission curve is in excellent agreement with our simulation (Fig. 1a). |
24. | Marvin J. Weber, CRC Handbook of Laser Science and Technology, Volume III Optical Materials: Part 1 (CRC Press, 1986). |
25. | Marvin J. Weber, CRC Handbook of Laser Science and Technology, Supplement 2: Optical Materials (CRC Press, 1995). |
OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.4160) Nonlinear optics : Multiharmonic generation
(190.4360) Nonlinear optics : Nonlinear optics, devices
ToC Category:
Nonlinear Optics
History
Original Manuscript: September 26, 2006
Revised Manuscript: November 22, 2006
Manuscript Accepted: November 22, 2006
Published: December 11, 2006
Citation
Weixin Lu, Ping Xie, Zhao-Qing Zhang, George K. L. Wong, and Kam S. Wong, "Simultaneous perfect phase matching for second and third harmonic generations in ZnS/YF_{3} photonic crystal for visible emissions," Opt. Express 14, 12353-12358 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-25-12353
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References
- E. Yablonovitch, "Inhibited Spontaneous Emission in Solid-State Physics and Electronics," Phys. Rev. Lett. 58, 2059-2062 (1987). [CrossRef] [PubMed]
- S. John, "Strong localization of photons in certain disordered dielectric superlattices," Phys. Rev. Lett. 58, 2486-2489 (1987). [CrossRef] [PubMed]
- Photonic crystals: physics, fabrication and applications, edited by K. Inoue and K. Ohtaka (Springer Verlag, Berlin, 2004)
- Nonlinear Photonic Crystals, edited by R. E. Slusher and B. J. Eggleton (Springer, Berlin 2003)
- H. Cheng, P. B. Miller, "Nonlinear Optical Theory in Solids," Phys. Rev. 134, A683-A687 (1964). [CrossRef]
- J. A. Armstrong, N. Bloembergen, J. Ducuing, P. S. Pershan, "Interactions between Light Waves in a Nonlinear Dielectric," Phys. Rev. 127, 1918-1939 (1962). [CrossRef]
- P. A. Franken and J. F. Ward, "Optical Harmonics and Nonlinear Phenomena," Rev. Mod. Phys. 35, 23-39 (1963). [CrossRef]
- M. Centini, M. Scalora, C. Sibilia, G. D’Aguanno, M. Bertolotti, M. J. Bloemer, and C. M. Bowden, "Dispersive properties of one-dimensional photonic band gap structures for second harmonic generation," J. Opt. A: Pure Appl. Opt. 2, 121-126 (2000). [CrossRef]
- N. Bloembergen and A. J. Sievers, "Nonlinear optical properties of periodic laminar structures," Appl. Phys. Lett. 17, 483-486 (1970). [CrossRef]
- J. P. Van der Ziel and M. Ilegem, "Optical second harmonic generation in periodic multilayer GaAs-Al0.3Ga0.7As structures," Appl. Phys. Lett. 28, 437-439 (1976). [CrossRef]
- Y. Dumeige, P. Vidakovic, S. Sauvage, I. Sagnes, J. A. Levenson, C. Sibilia, M. Centini, G. D. Aguanno, and M. Scalora, "Enhancement of second-harmonic generation in a one-dimensional semiconductor photonic band gap," Appl. Phys. Lett. 78, 3021-3023 (2001). [CrossRef]
- M. Centini, G. D’Aguanno, M. Scalora, C. Sibilia, M. Bertolotti, M. J. Bloemer, C. M. Bowden, "Simultaneously phase-matched enhanced second and third harmonic generation," Phys. Rev. E 64, 046606 (2001). [CrossRef]
- V. V. Konotop and V. Kuzmiak, "Simultaneous second- and third-harmonic generation in one-dimensional photonic crystals," J. Opt. Soc. Am. B 16, 1370-1376 (1999). [CrossRef]
- A. V. Balakin, V. A. ushuev, N. I. Koroteev, B. I. Mantsyzov, I. A. Ozheredov, A. P. Shkurinov, D. Boucher and P. Masselin, "Enhancement of second-harmonicgeneration with femtosecond laser pulses near the photonicband edge for different polarizations of incident light," Opt. Lett. 24, 793-795 (1999). [CrossRef]
- M. G. Martemyanov, T. V. Dolgova and A. A. Fedyanin, "Optical third-harmonic generation in one-dimensional photonic crystals and microcavities," J. Exp. Theor. Phys. 98, 463-477 (2004). [CrossRef]
- H. Yang, P. Xie, S. K. Chan, Z. Q. Zhang, I. K. Sou, G. K. L. Wong and K. S. Wong, "Efficient second harmonic generation form large band gap II-VI semiconductor photonic crystal," Appl. Phys. Lett. 97, 131106 (2005). [CrossRef]
- Y. R. Shen, The Principles of Nonlinear Optics (John Wiley & Sons, New York 1984).
- P. P. Markowicz, H. Tiryaki, H. Pudavar, P. N. Prasad, NickN. Lepeshkin and Robert W. Boyd, "Dramatic enhancement of Third-Harmonic Generation in Three-Dimensional Photonic Crystals," Phys. Rev. Lett. 92, 083903 (2004). [CrossRef] [PubMed]
- Hui Yang, Ping Xie, S. K. Chan, Weixin Lu, Zhao-Qing Zhang, I. K. Sou, George K. L. Wong and K. S. Wong, "Simultaneous enhancement of the second- and third-harmonic generations in one-dimensional semicounductor photonic crystals," IEEE Quantum Electron. 42, 447-451 (2006) [CrossRef]
- D. S. Bethune, "Optical harmonic generation and mixing in multilayer media: analysis using optical transfer matrix techniques," J. Opt. Soc. Am. B 6, 910-916 (1989). [CrossRef]
- P. Xie and Z. Q. Zhang, "Optical phase conjugation in third-order nonlinear photonic crystals," Phys. Rev. A 69, 053806 (2004). [CrossRef]
- M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, "Random quasi-phase-matching in bulk polycrystalline isotropic nonlinear materials," Nature, 432, 374-376, (2004). [CrossRef] [PubMed]
- Refractive index (n) for YF3 is the proprietary information of the manufacturer. However, according to the manufacturer, the n of SiO2 is almost the same as the YF3 in the wavelength region of our interest, and indeed, experimental measured transmission curve is in excellent agreement with our simulation [Fig. 1(a)].
- MarvinJ. Weber, CRC Handbook of Laser Science and Technology, Volume III Optical Materials: Part 1 (CRC Press, 1986).
- MarvinJ. Weber, CRC Handbook of Laser Science and Technology, Supplement 2: Optical Materials (CRC Press, 1995).
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