In this paper, the linear and nonlinear applications including optical filtering and switching of superimposed Bragg grating are presented. For realization of superimposed Bragg grating electrooptic effect is used. The introduced system acts as an optical chip. The induced superimposed index of refractions due to sampled electric potentials applied through metallic strips on electro-optically active core-cladding are investigated analytically and simulated numerically using the Transfer Matrix Method (TMM). It is shown that the applied electric field induces superimposed refractive index grating, which can be controlled using amplitudes and frequency contents of potential samples as well as optical waveguide parameters. Our proposed structure is analog programmable device for realization of many interesting optical signal conditioners such as optical filters, optical beam splitters, and many other special transfer functions in linear case. The proposed device is tunable and can be controlled using the applied potential parameters (samples) and easily satisfy dense wavelength division multiplexing (DWDM) system demand specifications. The electro-optic Pockels effect for generation of the superimposed gratings in this building block will be used. Then we propose an optical chip for performing the introduced functions. In practical cases, for realization of DWDM demands, we need very large number of potential samples approximately 3 to 4 orders of magnitudes. So, this type of block as optical controllable chip really from practical point of views is impossible and illegal. In this paper, we will present a simple approach for decreasing the number of efficient control samples from outside for managing the proposed tasks. Our calculations in this paper shows that with less than approximately 200 control pins, we can realize all of proposed practical ideas with acceptable precision. Also, with 3 samples per period, our design will cover 215 individual DWDM channels theoretically from 1.55um towards lower wavelengths and 325 channels for 4 samples per period case, which is infinity from practical point of views. All of transfer functions corresponding to these channels can be manipulated using applied potential samples.
Also, as nonlinear applications of the superimposed Bragg grating multi-wavelength optical switching is presented. For this purpose the switching operation is illustrated first and then switching thresholds in the case of three predefined wavelengths are shown. Thus we illustrate numerical results for demonstration of the ability of the proposed structure. At the same time, we investigate effects of the parameters of the proposed structure such as the nonlinear refractive index and the grating length (number of layers) on switching performance including threshold intensity and slope of transition function. The proposed structure can be used as multi-wavelength switching applicable to DWDM and multi wavelength communication systems.
2. Zhao, J., X. Shen, and Y. Xia, "Beam splitting, combining, and cross coupling through multiple superimposed volume-index gratings," Optics & Laser Technology, Vol. 33, 23-28, 2001. doi:10.1016/S0030-3992(00)00109-2
3. Hruschka, P. C., U. Barabas, and L. Gohler, "Optical narrowband filter without resonances," Ser.: ELEC. ENERG., Vol. 17, 209-217, 2004.
4. Kulishov, M., "Interdigitated electrode-induced phase grating with an electrically switchable and tunable period," Applied Optics, Vol. 38, No. 36, 1999.
5. Kulishov, M., "Tunable electro-optic microlense array, I. Planar geometry," Applied Optics, Vol. 39, No. 14, 2000.
6. Kulishov, M. and X. Daxhelet, "Electro-optically reconfigurable waveguide superimposed gratings," Optics Express, Vol. 9, No. 10, 2001.
7. Kulishov, M., P. Cheben, X. Daxhelet, and S. Delprat, "Electrooptically induced tilted phase gratings in waveguides," J. Opt. Soc. Am. B, Vol. 18, No. 4, 2001. doi:10.1364/JOSAB.18.000457
8. Kulishov, M., X. Daxhelet, M. Gaidi, and M. Chaker, "Electronically reconfigurable superimposed waveguide longperiod gratings," J. Opt. Soc. Am. A, Vol. 19, No. 8, 2002. doi:10.1364/JOSAA.19.001632
9. Kulishov, M., X. Daxhelet, M. Gaidi, and M. Chaker, "Transmission spectrum reconfiguration in long-period gratings electrically induced in pockels-type media with the help of a periodical electrode structure," J. Lightwave Technology, Vol. 22, No. 3, 2004. doi:10.1109/JLT.2004.825760
10. Glytsis, E. N., T. K. Gaylord, and M. G. Moharam, "Electric field, permittivity, and strain distributions induced by interdigitated electrodes on electrooptic waveguides," J. Lightwave Technology, Vol. LT-5, No. 5, 1987.
11. Ramaswami, R. and K. N. Sivarajan, Optical Networks, A Practical Perspective, Morgan Kaufmann, San Fransisco, CA, 1998.
12. Roberts, G. F., K. A. Williams, R. V. Penty, I. H. White, M. Glick, D. McAuley, D. J. Kang, and M. Blamire, "Monolithic 2 × 2 Amplifying Add/Drop Switch for Optical Local Area Networking," ECOC '03, Vol. 3, 736-737, 2003.
13. Dugan, A., L. Lightworks, and J. C. Chiao, "The optical switching spectrum: A primer on wavelength switching technologies," Telecommun. Mag., No. 5, 2001.
14. Dobbelaere, P. D., K. Falta, L. Fan, S. Gloeckner, and S. Patra, "Digital MEMS for optical switching," IEEE Commun. Mag., No. 3, 88-95, 2002. doi:10.1109/35.989763
15. Bregni, S., G. Guerra, and A. Pattavina, "State of the art of optical switching technology for all-optical networks," Communications World, 2001.
16. Mukherjee, B., Optical Communication Networks, Mc-Graw-Hill, New York, 1997.
17. Winful, H. G., J. H. Marburger, and E. Garmire, Appl. Phys. Lett., Vol. 35, 379, 1979. doi:10.1063/1.91131
18. Yariv, A., Quantum Electronics, John Wiley, 1989.
19. Nishihara, H., M. Haruna, and T. Suhara, Optical Integrated Circuits, McGraw-Hill, 1989.
20. Aberg, I., "High-frequency switching and kerr effect — Nonlinear problems solved with nonstationary time domain techniques," Progress In Electromagnetics Research, Vol. 17, 185-235, 1997. doi:10.2528/PIER97021200
21. Golmohammadi, S., M. K. Moravvej-Farshi, A. Rostami, and A. Zarifkar, "Spectral analysis of fibonacci-class one-dimensional quasi-periodic structures," Progress In Electromagnetics Research, Vol. 75, 69-84, 2007. doi:10.2528/PIER07051902
22. Watanabe, K. and K. Yasumoto, "Two-dimensional electromagnetic scattering of non-plane incident waves by periodic structures," Progress In Electromagnetics Research, Vol. 74, 241-271, 2007. doi:10.2528/PIER07050902
23. Khalaj-Amirhosseini, M., "Analysis of periodic and aperiodic coupled nonuniform transmission lines using the fourier series expansion," Progress In Electromagnetics Research, Vol. 65, 15-26, 2006. doi:10.2528/PIER06072701
24. Watanabe, K. and K. Kuto, "Numerical analysis of optical waveguides based on periodic fourier transform," Progress In Electromagnetics Research, Vol. 64, 1-21, 2006. doi:10.2528/PIER06060802
25. Khalaj-Amirhosseini, M., "Scattering of inhomogeneous twodimensional periodic dielectric gratings," Progress In Electromagnetics Research, Vol. 60, 165-177, 2006. doi:10.2528/PIER05112601
26. Aissaoui, M., J. Zaghdoudi, M. Kanzari, and B. Rezig, "Optical properties of the quasi-periodic one-dimensional generalized multilayer Fibonacci structures," Progress In Electromagnetics Research, Vol. 59, 69-83, 2006. doi:10.2528/PIER05091701
27. Zheng, G., A. A. Kishk, A. W. Glisson, and A. B. Yakovlev, "A novel implementation of modified Maxwell's equations in the periodic finite-difference time-domain method," Progress In Electromagnetics Research, Vol. 59, 85-100, 2006. doi:10.2528/PIER05092601
28. Zheng, G., A. A. Kishk, A. W. Glisson, and A. B. Yakovlev, "Implementation of Mur's absorbing boundaries with periodic structures to speed up the design process using finite-difference time-domain method," Progress In Electromagnetics Research, Vol. 58, 101-114, 2006. doi:10.2528/PIER05062103
29. Biswas, A., Shwetanshumala, and S. Konar, "Dynamically stable dispersion-managed optical solitons with parabolic law nonlinearity," J. Electromagnetic Waves and Applications, Vol. 20, No. 10, 1249-1258, 2006. doi:10.1163/156939306777443006
30. Maurya, S. N., V. Singh, B. Prasad, and S. P. Ojha, "Modal analysis and waveguide dispersion of an optical waveguide having a cross-section of the shape of a cardioid," J. Electromagnetic Waves and Applications, Vol. 20, No. 15, 1021-1035, 2006. doi:10.1163/156939306776930277
31. Wu, C. J., "Transmission and reflection in a periodic superconductor/ dielectric film multilayer structure," J. Electromagnetic Waves and Applications, Vol. 19, No. 6, 1991-1996, 2005. doi:10.1163/156939305775570468