Manipulation of quadratic cascading processes in a locally quasi-periodic χ^{(2)} medium |
Optics Express, Vol. 22, Issue 6, pp. 6976-6983 (2014)
http://dx.doi.org/10.1364/OE.22.006976
Acrobat PDF (1115 KB)
Abstract
We theoretically and numerically investigate the quadratic cascading effect of third-harmonic (TH) generation in a locally quasi-periodic nonlinear photonic structure. We study the effect of structure parameters on the acceptance bandwidth and conversion efficiency of the cascading process. We demonstrate that the conversion efficiency of the cascading process can be enhanced by using a longer locally quasi-periodic nonlinear photonic crystal, without adversely affecting the acceptance bandwidth of the emitted radiation.
© 2014 Optical Society of America
1. Introduction
1. J.B. Khurgin, A. Obeidat, S. J. Lee, and Y. J. Ding, “Cascaded optical nonlinearities: microscopic understanding as a collective effect,” J. Opt. Soc. Am. 14, 1977–1983 (1997). [CrossRef]
2. S. Zhu, Y. Zhu, and B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278, 843–846 (1997). [CrossRef]
10. G. I. Petrov, M. Zhi, and V. V. Yakovlev, “Coherent anti-Stokes Raman spectroscopy utilizing phase mismatched cascaded quadratic optical interactions in nonlinear crystals,” Opt. Express 21, 31960–31965 (2013). [CrossRef]
2. S. Zhu, Y. Zhu, and B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278, 843–846 (1997). [CrossRef]
11. V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998). [CrossRef]
13. Y. Sheng, K. Koynov, J. Dou, B. Ma, J. Li, and D. Zhang, “Collinear second harmonic generations in a nonlinear photonic quasicrystal,” Appl. Phys. Lett. 92, 201113 (2008). [CrossRef]
14. K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, “Broadening of the phase-matching bandwidth in quasi-phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 30, 1596–604 (1994). [CrossRef]
20. I. Varon, G. Porat, and A. Arie, “Controlling the disorder properties of quadratic nonlinear photonic crystals,” Opt. Lett. 36, 3978–3980 (2011). [CrossRef] [PubMed]
15. A. Tehranchi and R. Kashyap, “Design of novel unapodized and apodized step-chirped quasi-phase matched gratings for broadband frequency converters based on second harmonic generation,” IEEE J. Lightwave Technology, IEEE J. Lightwave Technol. 26, 343–349, (2008). [CrossRef]
16. A. Tehranchi, R. Morandotti, and R. Kashyap, “Efficient flattop ultra-wideband wavelength converters based on double-pass cascaded sum and difference frequency generation using engineered chirped gratings,” Opt. Express 19, 22528–22534 (2011). [CrossRef] [PubMed]
17. J. Yang, X. P. Hu, P. Xu, X. J. Lv, C. Zhang, G. Zhao, H. J. Zhou, and S. N. Zhu, “Chirped-quasi-periodic structure for quasi-phase-matching,” Opt. Express 18, 14717–14723 (2010). [CrossRef] [PubMed]
18. Y. Sheng and W. Krolikowski, “Broadband frequency tripling in locally ordered nonlinear photonic crystal,” Opt. Express 21, 4475–4480 (2013). [CrossRef] [PubMed]
19. W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Yu. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Opt. Express 17, 20117–20123 (2009). [CrossRef] [PubMed]
15. A. Tehranchi and R. Kashyap, “Design of novel unapodized and apodized step-chirped quasi-phase matched gratings for broadband frequency converters based on second harmonic generation,” IEEE J. Lightwave Technology, IEEE J. Lightwave Technol. 26, 343–349, (2008). [CrossRef]
20. I. Varon, G. Porat, and A. Arie, “Controlling the disorder properties of quadratic nonlinear photonic crystals,” Opt. Lett. 36, 3978–3980 (2011). [CrossRef] [PubMed]
2. Theoretical analysis
3. K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, “Multiple nonlinear optical interactions with arbitrary wave vector differences,” Phys. Rev. Lett. 88, 023903 (2002). [CrossRef] [PubMed]
21. K. Fradkin-Kashi and A. Arie, “Multiple-wavelength quasi-phase-matched nonlinear interactions,” IEEE J. Quantum. Elect. 35, 1649–1656 (1999). [CrossRef]
3. Numerical simulation
22. G. J. Edwards and M. Lawrence, “A temperature-dependent dispersion equation for congruently grown lithium niobate,” Opt. Quant. Electron. 16, 373–375 (1984). [CrossRef]
23. M. Fejer, G.A. Magel, D.H. Jundt, and R.L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum. Elect. 28, 2631–2654 (1992). [CrossRef]
4. Conclusion
Acknowledgments
References and links
1. | J.B. Khurgin, A. Obeidat, S. J. Lee, and Y. J. Ding, “Cascaded optical nonlinearities: microscopic understanding as a collective effect,” J. Opt. Soc. Am. 14, 1977–1983 (1997). [CrossRef] |
2. | S. Zhu, Y. Zhu, and B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278, 843–846 (1997). [CrossRef] |
3. | K. Fradkin-Kashi, A. Arie, P. Urenski, and G. Rosenman, “Multiple nonlinear optical interactions with arbitrary wave vector differences,” Phys. Rev. Lett. 88, 023903 (2002). [CrossRef] [PubMed] |
4. | 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). [CrossRef] |
5. | N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, “Group-velocity-mismatch compensation in cascaded third-harmonic generation with two dimensional quasi-phase-matching gratings,” Opt. Lett. 31, 2780–2782 (2006). [CrossRef] [PubMed] |
6. | N. Fujioka, S. Ashihara, H. Ono, T. Shimura, and K. Kuroda, “Cascaded third-harmonic generation of ultrashort optical pulses in two-dimensional quasi-phase-matching gratings,” J. Opt. Soc. Am. B 24, 2394–2405 (2007). [CrossRef] |
7. | S. Ashihara, T. Shimura, K. Kuroda, N. E. Yu, S. Kurimura, K. Kitamura, M. Cha, and T. Taira, “Optical pulse compression using cascaded quadratic nonlinearities in periodically poled lithium niobate,” Appl. Phys. Lett. 84, 1055–1057 (2004). [CrossRef] |
8. | M. Asobe, I. Yokohama, H. Itoh, and T. Kaino, “All-optical switching by use of cascading of phase-matched sum-frequency-generation and difference-frequency-generation processes in periodically poled LiNbO_{3},” Opt. Lett. 22, 274–276 (1997). [CrossRef] [PubMed] |
9. | M. A. Krumbugel, J. N. Sweetser, D. N. Fittinghoff, K. W. DeLong, and R. Trebino, “Ultrafast optical switching by use of fully phase-matched cascaded second-order nonlinearities in a polarization-gate geometry,” Opt. Lett. 22, 245–247 (1997). [CrossRef] [PubMed] |
10. | G. I. Petrov, M. Zhi, and V. V. Yakovlev, “Coherent anti-Stokes Raman spectroscopy utilizing phase mismatched cascaded quadratic optical interactions in nonlinear crystals,” Opt. Express 21, 31960–31965 (2013). [CrossRef] |
11. | V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998). [CrossRef] |
12. | Y. Du, S. N. Zhu, Y. Y. Zhu, P. Xu, C. Zhang, Y. B. Chen, Z. W. Liu, and N. B. Ming, “Parametric and cascaded parametric interactions in a quasiperiodic optical superlattice,” Appl. Phys. Lett. 81, 1573–1575 (2002). [CrossRef] |
13. | Y. Sheng, K. Koynov, J. Dou, B. Ma, J. Li, and D. Zhang, “Collinear second harmonic generations in a nonlinear photonic quasicrystal,” Appl. Phys. Lett. 92, 201113 (2008). [CrossRef] |
14. | K. Mizuuchi, K. Yamamoto, M. Kato, and H. Sato, “Broadening of the phase-matching bandwidth in quasi-phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 30, 1596–604 (1994). [CrossRef] |
15. | A. Tehranchi and R. Kashyap, “Design of novel unapodized and apodized step-chirped quasi-phase matched gratings for broadband frequency converters based on second harmonic generation,” IEEE J. Lightwave Technology, IEEE J. Lightwave Technol. 26, 343–349, (2008). [CrossRef] |
16. | A. Tehranchi, R. Morandotti, and R. Kashyap, “Efficient flattop ultra-wideband wavelength converters based on double-pass cascaded sum and difference frequency generation using engineered chirped gratings,” Opt. Express 19, 22528–22534 (2011). [CrossRef] [PubMed] |
17. | J. Yang, X. P. Hu, P. Xu, X. J. Lv, C. Zhang, G. Zhao, H. J. Zhou, and S. N. Zhu, “Chirped-quasi-periodic structure for quasi-phase-matching,” Opt. Express 18, 14717–14723 (2010). [CrossRef] [PubMed] |
18. | Y. Sheng and W. Krolikowski, “Broadband frequency tripling in locally ordered nonlinear photonic crystal,” Opt. Express 21, 4475–4480 (2013). [CrossRef] [PubMed] |
19. | W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, and Yu. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Opt. Express 17, 20117–20123 (2009). [CrossRef] [PubMed] |
20. | I. Varon, G. Porat, and A. Arie, “Controlling the disorder properties of quadratic nonlinear photonic crystals,” Opt. Lett. 36, 3978–3980 (2011). [CrossRef] [PubMed] |
21. | K. Fradkin-Kashi and A. Arie, “Multiple-wavelength quasi-phase-matched nonlinear interactions,” IEEE J. Quantum. Elect. 35, 1649–1656 (1999). [CrossRef] |
22. | G. J. Edwards and M. Lawrence, “A temperature-dependent dispersion equation for congruently grown lithium niobate,” Opt. Quant. Electron. 16, 373–375 (1984). [CrossRef] |
23. | M. Fejer, G.A. Magel, D.H. Jundt, and R.L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum. Elect. 28, 2631–2654 (1992). [CrossRef] |
OCIS Codes
(190.2620) Nonlinear optics : Harmonic generation and mixing
(190.7220) Nonlinear optics : Upconversion
(190.4223) Nonlinear optics : Nonlinear wave mixing
ToC Category:
Nonlinear Optics
History
Original Manuscript: December 20, 2013
Revised Manuscript: February 24, 2014
Manuscript Accepted: February 26, 2014
Published: March 18, 2014
Citation
Wenjie Wang, Yan Sheng, Shaoding Liu, Xiaoying Niu, and Wieslaw Krolikowski, "Manipulation of quadratic cascading processes in a locally quasi-periodic χ^{(2)} medium," Opt. Express 22, 6976-6983 (2014)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-22-6-6976
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References
- J.B. Khurgin, A. Obeidat, S. J. Lee, Y. J. Ding, “Cascaded optical nonlinearities: microscopic understanding as a collective effect,” J. Opt. Soc. Am. 14, 1977–1983 (1997). [CrossRef]
- S. Zhu, Y. Zhu, B. Ming, “Quasi-phase-matched third-harmonic generation in a quasi-periodic optical superlattice,” Science 278, 843–846 (1997). [CrossRef]
- K. Fradkin-Kashi, A. Arie, P. Urenski, G. Rosenman, “Multiple nonlinear optical interactions with arbitrary wave vector differences,” Phys. Rev. Lett. 88, 023903 (2002). [CrossRef] [PubMed]
- C. Zhang, H. Wei, Y. Y. Zhu, H. T. Wang, S. N. Zhu, N. B. Ming, “Third-harmonic generation in a general two-component quasi-periodic optical superlattice,” Opt. Lett. 26, 899–901 (2001). [CrossRef]
- N. Fujioka, S. Ashihara, H. Ono, T. Shimura, K. Kuroda, “Group-velocity-mismatch compensation in cascaded third-harmonic generation with two dimensional quasi-phase-matching gratings,” Opt. Lett. 31, 2780–2782 (2006). [CrossRef] [PubMed]
- N. Fujioka, S. Ashihara, H. Ono, T. Shimura, K. Kuroda, “Cascaded third-harmonic generation of ultrashort optical pulses in two-dimensional quasi-phase-matching gratings,” J. Opt. Soc. Am. B 24, 2394–2405 (2007). [CrossRef]
- S. Ashihara, T. Shimura, K. Kuroda, N. E. Yu, S. Kurimura, K. Kitamura, M. Cha, T. Taira, “Optical pulse compression using cascaded quadratic nonlinearities in periodically poled lithium niobate,” Appl. Phys. Lett. 84, 1055–1057 (2004). [CrossRef]
- M. Asobe, I. Yokohama, H. Itoh, T. Kaino, “All-optical switching by use of cascading of phase-matched sum-frequency-generation and difference-frequency-generation processes in periodically poled LiNbO3,” Opt. Lett. 22, 274–276 (1997). [CrossRef] [PubMed]
- M. A. Krumbugel, J. N. Sweetser, D. N. Fittinghoff, K. W. DeLong, R. Trebino, “Ultrafast optical switching by use of fully phase-matched cascaded second-order nonlinearities in a polarization-gate geometry,” Opt. Lett. 22, 245–247 (1997). [CrossRef] [PubMed]
- G. I. Petrov, M. Zhi, V. V. Yakovlev, “Coherent anti-Stokes Raman spectroscopy utilizing phase mismatched cascaded quadratic optical interactions in nonlinear crystals,” Opt. Express 21, 31960–31965 (2013). [CrossRef]
- V. Berger, “Nonlinear photonic crystals,” Phys. Rev. Lett. 81, 4136–4139 (1998). [CrossRef]
- Y. Du, S. N. Zhu, Y. Y. Zhu, P. Xu, C. Zhang, Y. B. Chen, Z. W. Liu, N. B. Ming, “Parametric and cascaded parametric interactions in a quasiperiodic optical superlattice,” Appl. Phys. Lett. 81, 1573–1575 (2002). [CrossRef]
- Y. Sheng, K. Koynov, J. Dou, B. Ma, J. Li, D. Zhang, “Collinear second harmonic generations in a nonlinear photonic quasicrystal,” Appl. Phys. Lett. 92, 201113 (2008). [CrossRef]
- K. Mizuuchi, K. Yamamoto, M. Kato, H. Sato, “Broadening of the phase-matching bandwidth in quasi-phase-matched second-harmonic generation,” IEEE J. Quantum Electron. 30, 1596–604 (1994). [CrossRef]
- A. Tehranchi, R. Kashyap, “Design of novel unapodized and apodized step-chirped quasi-phase matched gratings for broadband frequency converters based on second harmonic generation,” IEEE J. Lightwave Technology, IEEE J. Lightwave Technol. 26, 343–349, (2008). [CrossRef]
- A. Tehranchi, R. Morandotti, R. Kashyap, “Efficient flattop ultra-wideband wavelength converters based on double-pass cascaded sum and difference frequency generation using engineered chirped gratings,” Opt. Express 19, 22528–22534 (2011). [CrossRef] [PubMed]
- J. Yang, X. P. Hu, P. Xu, X. J. Lv, C. Zhang, G. Zhao, H. J. Zhou, S. N. Zhu, “Chirped-quasi-periodic structure for quasi-phase-matching,” Opt. Express 18, 14717–14723 (2010). [CrossRef] [PubMed]
- Y. Sheng, W. Krolikowski, “Broadband frequency tripling in locally ordered nonlinear photonic crystal,” Opt. Express 21, 4475–4480 (2013). [CrossRef] [PubMed]
- W. Wang, V. Roppo, K. Kalinowski, Y. Kong, D. N. Neshev, C. Cojocaru, J. Trull, R. Vilaseca, K. Staliunas, W. Krolikowski, S. M. Saltiel, Yu. Kivshar, “Third-harmonic generation via broadband cascading in disordered quadratic nonlinear media,” Opt. Express 17, 20117–20123 (2009). [CrossRef] [PubMed]
- I. Varon, G. Porat, A. Arie, “Controlling the disorder properties of quadratic nonlinear photonic crystals,” Opt. Lett. 36, 3978–3980 (2011). [CrossRef] [PubMed]
- K. Fradkin-Kashi, A. Arie, “Multiple-wavelength quasi-phase-matched nonlinear interactions,” IEEE J. Quantum. Elect. 35, 1649–1656 (1999). [CrossRef]
- G. J. Edwards, M. Lawrence, “A temperature-dependent dispersion equation for congruently grown lithium niobate,” Opt. Quant. Electron. 16, 373–375 (1984). [CrossRef]
- M. Fejer, G.A. Magel, D.H. Jundt, R.L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum. Elect. 28, 2631–2654 (1992). [CrossRef]
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