volume | PIER Journals

Abstract

Frequency shift of the spectrum of an incident optical pulse by an intense THz pulse inducing cross-phase modulation (XPM) in a nonlinear dielectric slab is analyzed. The effect is predicted with a high degree of accuracy using the well-known transmission line matrix (TLM) technique. In this research, to model the THzinduced temporal and spatial variation of the dielectric permittivity of the nonlinear dielectric slab, the transmission lines of the TLM method are loaded with open shunt stubs. The parameters of the stubs are modified in accordance with the refractive index variation of the dielectric slab, here ZnTe, induced by the strong THz pulse. The obtained numerical results are verified with a recently reported experimental work.

1. Gersten, J. I., R. R. Alfano, and M. Belic, "Combined stimulated Raman scattering and continuum self-phase modulation," Phys. Rev. A, Vol. 21, 1222-1224, 1980.
doi:10.1103/PhysRevA.21.1222 Google Scholar

2. Alfano, R. R., Q. X. Li, T. Jimbo, J. T. Manassah, and P. P. Ho, "Induced spectral broadening of a weak picosecond pulse in glass produced by an intense picosecond pulse," Opt. Lett., Vol. 11, 626-628, 1986.
doi:10.1364/OL.11.000626 Google Scholar

3. Schadt, D. and B. Jaskorzynska, "Generation of short pulses from CW light by influence of crossphase modulation (CPM) in optical fibers," Electron. Lett., Vol. 23, 1090-1091, 1987.
doi:10.1049/el:19870761 Google Scholar

4. Agrawal, G. P., "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett., Vol. 59, 880-883, 1987.
doi:10.1103/PhysRevLett.59.880 Google Scholar

5. Monerie, M. and Y. Durteste, "Direct interferometric measurement of nonlinear refractive index of optical fiber by cross-phase modulation," Electron. Lett., Vol. 23, 961-963, 1987.
doi:10.1049/el:19870676 Google Scholar

6. Alfano, R. R. and P. P. Ho, "Self-, cross-, and induced-phase modulations of ultrashort laser pulse propagation," IEEE J. Quantum Electron., Vol. 24, 351-364, 1988.
doi:10.1109/3.132 Google Scholar

7. Shtaif, M., "An analytical description of cross-phase modulation in dispersive optical fibers," Opt. Lett., Vol. 23, 1191-1193, 1998.
doi:10.1364/OL.23.001191 Google Scholar

8. Lee, J. H. and I. Jacobs, "Cross-phase modulation analysis using sinusoidally modulated signal," Proc. SPIE, Vol. 4087, 298-307, 2000.
doi:10.1117/12.406414 Google Scholar

9. Henesian, M. A., S. N. Dixit, C. J. Chen, P. K. A. Wai, and C. R. Menyuk, "Simulations of spectral broadening by crossphase modulation (XPM) with chaotic light pulses," Proc. SPIE, Vol. 1870, 2-13, 1993.
doi:10.1117/12.154481 Google Scholar

10. Islam, M. N., L. F. Mollenauer, and R. H. Stolen, "Cross-phase modulation in optical fibers," Opt. Lett., Vol. 12, 625-627, 1987.
doi:10.1364/OL.12.000625 Google Scholar

11. Baldeck, P. L. and R. R. Alfano, "Induced-frequency shift of copropagating ultrafast optical pulses," Appl. Phys. Lett., Vol. 52, 1939-1941, 1988.
doi:10.1063/1.99604 Google Scholar

12. Wilhelmi, B., M. Kaschke, and W. Rudolph, "Ultrafast wavelength shift of light induced by light," Proc. SPIE, Vol. 1319, 81-82, 1990.

13. Shen, Y., T. Watanabe, D. A. Arena, C. C. Kao, J. B. Murphy, T. Y. Tsang, X. J. Wang, and G. L. Carr, "Nonlinear cross-phase modulation with intense single-cycle terahertz pulses," Phys. Rev. Lett., Vol. 99, 043901-043904, 2007.
doi:10.1103/PhysRevLett.99.043901 Google Scholar

14. Yariv, A. and P. Yeh, Photonics: Optical Electronics in Modern Ommunications, Oxford University Press, USA, 2006.

15. Cai, Y., I. Brener, J. Lopata, J. Wynn, L. Pfeiffer, J. B. Stark, Q. Wu, X. C. Zhang, and J. F. Federici, "Coherent terahertz radiation detection: Direct comparison between free-space electro-optic sampling and antenna detection," Appl. Phys. Lett., Vol. 73, 444-446, 1998.
doi:10.1063/1.121894 Google Scholar

16. Hoefer, W. J. R., "The transmission-line matrix method theory and applications," IEEE Trans. Microw. Theory Tech., Vol. 33, 882-893, 1985.
doi:10.1109/TMTT.1985.1133146 Google Scholar

17. Johns, P. B. and R. L. Beurle, "Numerical solution of 2-dimensional scattering problems using a transmission-line matrix," Proc. Inst. Elec. Eng., Vol. 118, 1203-1208, 1971.
doi:10.1049/piee.1971.0217 Google Scholar

Dr. Zahra Ghattan

Dr. Seyed Amin Izadi

Dr. Mahmoud Shahabadi