Nonlinear Mixing In Optical Signal Processing

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Presentation transcript:

Nonlinear Mixing In Optical Signal Processing Nourin Ahmed and Refat Kibria Department of Computer Science and Engineering Shahjalal University of Science & Technology, Sylhet,Bangladesh. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Overview Why we need Photonic Signal Processing? Nonlinear Mixing Types of Nonlinear Mixing Comparison Future Work December, 2015 WIECON-ECE,Dhaka, Bangladesh.

Need of Photonic Signal Processing[1] Interaction between microwave and optical signals Low-loss, wide bandwidth capability Microwave techniques in optical transmitters and receivers December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Nonlinear Mixing[2] Intensity-dependent phenomena Change in refractive index of the medium Inelastic-scattering phenomenon December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Types of Nonlinear Mixing[2][3] Kerr effect Self-Phase Modulation Cross-Phase Modulation Four Wave Mixing Inelastic Scattering Stimulated Raman scattering Stimulated Brillouin scattering December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Self Phase Modulation[4] Light beam with high optical intensity changes its own phase by changing refractive index of the medium. Figure 1: Instantaneous frequency of an initially unchanged pulse which has experienced SPM. The central part of the pulse exhibits an up-chirp.[5] Up-chirp : instantaneous frequency rises with time. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

Self Phase Modulation Equation[6] Phase change of an optical field is given by, Φ = ͂nk0L = (n+n2|E|2)k0L k0 = 2π/λ, L is the fiber length, n = refractive index, n2 = nonlinear refractive index, |E|2 = Optical intensity inside the fiber, The intensity-dependent nonlinear phase shift ΦNL = n2k0L|E|2 is due to self-phase modulation. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Application of SPM Amplitude Modulation[2] All optical data regeneration technique utilizing spectral broadening characteristic[7] Wavelength conversion[8] December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Cross Phase Modulation[9] Change in the optical phase of a light beam is caused by the interaction with another beam Refractive index dependency on the intensity of all propagating light beams Effect is twice as more effective than that of SPM December, 2015 WIECON-ECE,Dhaka, Bangladesh.

Cross Phase Modulation Equation[2] Nonlinear phase shift due to XPM effect, Φ2NL = ω2zn2 / c (|E2|2 + 2|E1|2) The factor 2 indicates that XPM effect is double in effectiveness compared to SPM. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Application of XPM Amplitude Modulation[10] Ultra-fast optical switching[11] Wavelength conversion[12] Pulse compression[13] Pulse retiming[14] December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Four Wave Mixing[3] Three electromagnetic fields interacting to produce a fourth field. At least two different frequency components propagate together in a nonlinear medium. Figure 2 : FWM in Highly Nonlinear Fiber[15] December, 2015 WIECON-ECE,Dhaka, Bangladesh.

Four Wave Mixing Equation[16] Three waves with the frequencies ωp , ωq, and ωr generate a fourth wave at a frequency ωp ± ωq ± ωr

WIECON-ECE,Dhaka, Bangladesh. Application of FWM High speed wavelength conversion[17] Convolution based photonic pattern recognition[18] Remote transmitter correlation[19] Optical subtraction[20] Wavelength conversion in W-type soft glass fiber Wavelength conversion in highly nonlinear crystal fiber Wavelength conversion in HNLF December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Comparison[21] Single WDM channel – SPM Multiple WDM channel – XPM & FWM FWM more suitable Table 1 : Performance Comparison of SPM,XPM and FWM December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. Future Work Thorough comparison of the Kerr-Nonlinear effects Graphical Representation Signal Processing Application December, 2015 WIECON-ECE,Dhaka, Bangladesh.

Thank You !

WIECON-ECE,Dhaka, Bangladesh. References [1] A. J. Seeds, "Microwave photonics," Microwave Theory and Techniques, IEEE Transactions vol. 50, pp. 877 - 887 2002. [2] R. Ramaswami and K. N. Sivarajan, "2 Chapter - Propagation of Signals in Optical Fiber," in Optical Networks (Second Edition), R. Ramaswami and K. N. Sivarajan, Eds., ed San Francisco: Morgan Kaufmann, 2002, pp. 49-106. [3] K. Thyagarajan and A. Ghatak, "Nonlinear Effects in Optical Fibers," in Fiber Optic Essentials, ed: Wiley-IEEE Press, 2007, pp. 205-220. [4] G. P. Agrawal, "Chapter 4 - Self-Phase Modulation," in Nonlinear Fiber Optics (Fourth Edition), G. P. Agrawal, Ed., ed San Diego: Academic Press, 2006, pp. 79-119. [5] R. Paschotta, article on 'self-phase modulation' in the Encyclopedia of Laser Physics and Technology, accessed on 2015-11-25. [6] S. P. Singh, "Nonlinear effects in optical fibers: origin, management and applications," Progress In Electromagnetics Research, vol. 23, pp. 249-275, 2007. [7] M. Matsumoto, "Analysis of optical regeneration utilizing self-phase modulation in a highly nonlinear fiber," Photonics Technology Letters, IEEE, vol. 14, pp. 319-321, 2002. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. References(Cont.) [8] M. Chen, Tan Yan-lan, and Li Tian-song, "Wavelength conversion technique based on self phase modulation in highly nonlinear microstructure fiber," Optoelectronics Letters, vol. 6, pp. 278-280, 2010/07/01 2010. [9] G. P. Agrawal, "Chapter 2 - Pulse Propagation in Fibers," in Nonlinear Fiber Optics (Fourth Edition), G. P. Agrawal, Ed., ed San Diego: Academic Press, 2006, pp. 25-50. [10] S. Betti and M. Giaconi, "Analysis of the cross-phase modulation effect in WDM optical systems," Photonics Technology Letters, IEEE, vol. 13, pp. 43-45, 2001. [11] G. P. Agrawal, "Chapter 7 - Cross-Phase Modulation," in Nonlinear Fiber Optics (Fourth Edition), G. P. Agrawal, Ed., ed San Diego: Academic Press, 2006, pp. 226-273. [12] M. Galili, L. K. Oxenlowe, H. C. Hansen Mulvad, A. T. Clausen, and P. Jeppesen, "Optical Wavelength Conversion by Cross-Phase Modulation of Data Signals up to 640 Gb/s," Selected Topics in Quantum Electronics, IEEE Journal of, vol. 14, pp. 573-579, 2008. [13] K.-t. Chan and W.-h. Cao, "Enhanced soliton-effect pulse compression by cross-phase modulation in optical fibers," Optics Communications, vol. 178, pp. 79-88, 5/1/ 2000. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. References(Cont.) [14] K. S. Abedin, "Ultrafast pulse retiming by cross-phase modulation in an anomalous-dispersion polarization-maintaining fiber," Optics Letters, vol. 30, pp. 2979-2981, 2005/11/15 2005. [15] R. Kibria and M. Austin, "All Optical Signal-Processing Techniques Utilizing Four Wave Mixing," Photonics, vol. 2, p.200, 2015. [16] Thiel, C.W. Four-Wave Mixing and Its Applications. Available online: http://staff.mbi-berlin.de/breusing/fwmixing.pdf (accessed on 25 October 2015). [17] P. A. Andersen, T. Tokle, G. Yan, C. Peucheret, and P. Jeppesen,"Wavelength conversion of a 40-Gb/s RZ-DPSK signal using fourwave mixing in a dispersion-flattened highly nonlinear photonic crystal fiber," Photonics Technology Letters, IEEE, vol. 17, pp. 1908-1910, 2005. [18] R. Kibria, B. Lam Anh, and M. W. Austin, "Nonlinear mixing based photonic correlator," in Microwave Photonics (MWP), 2012 International Topical Meeting on, 2012, pp. 30-33. [19] R. Kibria, B. Lam, A. Mitchell, and M. W. Austin, "HNLF-Based Photonic Pattern Recognition Using Remote Transmitter,"Photonics Technology Letters, IEEE, vol. 26, pp. 457-460, 2014. December, 2015 WIECON-ECE,Dhaka, Bangladesh.

WIECON-ECE,Dhaka, Bangladesh. References(Cont.) [20] R. Kibria, L. A. Bui, A. Mitchell, and M. W. Austin, "(IPC) A Photonic Correlation Scheme Using FWM With Phase Management to Achieve Optical Subtraction," Photonics Journal,IEEE, vol. 5, pp. 5502209-5502209, 2013. [21] L. J. B.K.Mishra, Karishma Mhatre, "Performance analysis of third order nonlinearities in optical communication system,"International Journal of Scientific & Engineering Research - IJSER, vol. 4, Mar 2013 2013. December, 2015 WIECON-ECE,Dhaka, Bangladesh.