Multi-photon absorption and third-order nonlinearity in silicon at mid-infrared wavelengths

Optics Express

Volumn 21, Issue 26, 2013, Pages 32192-32198

  Wang, Ting ^a   Venkatram, Nalla ^c,d   Gosciniak, Jacek ^b   Cui, Yuanjing ^b   Qian, Guodong ^b   Ji, Wei ^c   Tan, Dawn T H ^a  

^a SINGAPORE UNIVERSITY OF TECHNOLOGY AND DESIGN   (Singapore)

^b ZHEJIANG UNIVERSITY   (China)

^c NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^d NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

PHOTONS; REFRACTIVE INDEX; SILICON; WAVELENGTH;

MID-INFRARED WAVELENGTHS; MULTI-PHOTON ABSORPTION; NONLINEAR FIGURE OF MERITS; NONLINEAR REFRACTIVE INDEX N2; THIRD-ORDER NON-LINEARITY; THIRD-ORDER NONLINEAR COEFFICIENT; THREE PHOTON ABSORPTION; WAVELENGTH DEPENDENCY;

MULTIPHOTON PROCESSES;

EID: 84891774242     PISSN: None     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.21.032192     Document Type: Article

References (21)

1. M. Dinu, F. Quochi, and H. Garcia, "Third-order nonlinearities in silicon at telecom wavelengths," Appl. Phys. Lett. 82(18), 2954-2956 (2003).
2. Q. Lin, J. Zhang, G. Piredda, R. W. Boyd, P. M. Fauchet, and G. P. Agrawal, "Dispersion of silicon nonlinearities in the near infrared region," Appl. Phys. Lett. 91(2), 021111 (2007).
3. V. Mizrahi, K. W. Delong, G. I. Stegeman, M. A. Saifi, and M. J. Andrejco, "Two-photon absorption as a limitation to all-optical switching," Opt. Lett. 14(20), 1140-1142 (1989).
4. S. Pearl, N. Rotenberg, and H. M. van Driel, "Three photon absorption in silicon for 2300-3300 nm," Appl. Phys. Lett. 93(13), 131102 (2008).
5. F. Gholami, S. Zlatanovic, A. Simic, L. Liu, D. Borlaug, N. Alic, M. Nezhad, Y. Fainman, and S. Radic, "Thirdorder nonlinearity in silicon beyond 2350 nm," Appl. Phys. Lett. 99(8), 081102 (2011).
6. N. Hon, R. Soref, and B. Jalali, "The third-order nonlinear optical coefficients of Si, Ge, and Si1-xGex in the midwave and longwave infrared," Appl. Phys. Lett. 110, 011301 (2011).
7. A. D. Bristow, N. Rotenberg, and H. M. van Driel, "Two-photon absorption and Kerr coefficients of silicon for 850-2200 nm," Appl. Phys. Lett. 90(19), 191104 (2007).
8. N. Venkatram, R. Sathyavathi, and D. N. Rao, "Size dependent multiphoton absorption and refraction of CdSe nanoparticles," Opt. Express 15(19), 12258-12263 (2007).
9. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, "Special 30th anniversary feature: Sensitive measurement of optical nonlinearities using a single beam," IEEE LEOS Newsletter 21, 17-35 (2007).
10. R. L. Sutherland, D. G. Mclean, and S. Kirkpatrick, Handbook of Nonlinear Optics, 2nd ed. (Marcel Dekker, 2003) p. 528.
11. W. C. Hurlbut, Y. S. Lee, K. L. Vodopyanov, P. S. Kuo, and M. M. Fejer, "Multiphoton absorption and nonlinear refraction of GaAs in the mid-infrared," Opt. Lett. 32(6), 668-670 (2007).
12. B. S. Wherrett, "Scaling rules for multiphoton interband absorption in semiconductors," J. Opt. Soc. Am. B 1(1), 67-72 (1984).
13. Q. Zheng, H. Zhu, S. Chen, C. Tang, E. Ma, and X. Chen, "Frequency-upconverted stimulated emission by simultaneous five-photon absorption," Nat. Photonics 7(3), 234-239 (2013).
14. D. K. Schroder, R. N. Thomas, and J. C. Swartz, "Free carrier absorption in silicon," IEEE Trans. Electron. Dev. 25(2), 254-261 (1978).
15. J. Wang, M. Sheik-Bahae, A. A. Said, D. J. Hagan, and E. W. Van Stryland, "Time-resolved Z-scan measurements of optical nonlinearities," J. Opt. Soc. Am. B. 11(6), 1009-1017 (1994).
16. A. Boskovic, S. V. Chernikov, J. R. Taylor, L. Gruner-Nielsen, and O. A. Levring, "Direct continuous-wave measurement of n2 in various types of telecommunication fiber at 1.55 μm," Opt. Lett. 21(24), 1966-1968 (1996).
17. T. Kato, Y. Suetsugu, M. Takagi, E. Sasaoka, and M. Nishimura, "Measurement of the nonlinear refractive index in optical fiber by the cross-phase-modulation method with depolarized pump light," Opt. Lett. 20(9), 988-990 (1995).
18. M. Sheik-Bahae, A. A. Said, T. H. Wei, D. J. Hagan, and E. W. Van Stryland, "Sensitive measurement of optical nonlinearities using a single beam," IEEE J. Quantum Electron. 26(4), 760-769 (1990).
19. M. Sheik-Bahae, D. J. Hagan, and E. W. Van Stryland, "Dispersion and band-gap scaling of the electronic Kerr effect in solids associated with two-photon absorption," Phys. Rev. Lett. 65(1), 96-99 (1990).
20. C. Bree, A. Demircan, and G. Steinmeyer, "Kramers-Kronig relations and high-order nonlinear susceptibilities," Phys. Rev. A 85(3), 033806 (2012).
21. T. F. Boggess, K. Bohnert, K. Mansour, S. C. Moss, I. W. Boyd, and A. L. Smirl, "Simultaneous measurement of the two-photon coefficient and free-carrier cross section above the bandgap of crystalline silicon," IEEE J. Quantum Electron. 22(2), 360-368 (1986).