Abstract
The linear and nonlinear characteristics of optical slow-wave structures made of direct coupled Fabry–Pérot and Ring Resonators are discussed. The main properties of an infinitely long slow-wave structure are derived analytically with an approach based on the Bloch theory. The spectral behaviour is periodical and closed form expressions for the bandwidth, the group velocity, the dispersion and the linear and nonlinear induced phase shift are derived. For structures of finite length the results still hold providing that proper input/output matching sections are added. In slow-wave structures most of the propagation parameters are enhanced by a factor S called the slowing ratio. In particular nonlinearities result strongly enhanced by the resonant propagation, so that slow-wave structures are likely to become a key point for all-optical processing devices. A numerical simulator has been implemented and several numerical examples of propagation are discussed. It is also shown as soliton propagation is supported by slow-wave structures, demonstrating the flexibility and potentiality of these structures in the field of the all-optical processing.
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Absil, P.P., J.V. Hrynicwicz, B.E. Little, P.S. Cho, R.A. Wilson, L.G. Joneckis and P.-T. Ho. Opt. Lett. 25 554, 2000.
Agrawal, G.P. Nonlinear Fiber Optics, Academic Press, New York, 1999.
Brillouin, L. Wave Propagation and Group Velocity, Academic Press, New York, 1960.
Christodoulides, D.N. and N.K. Efremidis. Opt. Lett. 27 568, 2002.
Collin, R.E. Foundations for Microwave Enginnering, McGraw-Hill, Singapore, 1992.
de Sterke, C.M. and J.E. Sipe. 'Gap solitons' Progress in Optics, ed. E. Wolf, Vol. 33, Elsevier, Amsterdam, 1994, 203.
Hau, L.V., S.E. Harris, Z. Dutton and C.H. Behroozi, Nature (London) 397 594, 1999.
Heebner, J.E. and R.W. Boyd. Opt. Lett. 24, 847, 1999.
Heebner, J.E. and R.W. Boyd. JOSA B 4 722, 2002.
Jiang S. and M. Dagenais. Appl. Phys. Lett. 62 2757, 1993.
Lenz, G., B.J. Eggleton, C.K. Madsen and R.E. Slusher. IEEE J. of Quantum Electron. 37, 525, 2001.
Madsen, C.K. and G. Lenz. IEEE Photon. Technol. Lett. 10, 994, 1998.
Martijn de Sterke, C. and J.E. Sipe. Phys. Rev. A 42 550, 1990.
Melloni, A., M. Chinello and M. Martinelli. IEEE Photon. Technol. Lett. 12 42, 2000.
Melloni, A., F. Morichetti and M. Martinelli. In: Proceeding of the 10th International Workshop on Optical Waveguide Theory and Numerical Modelling, Nottingham, UK, 2002, p. 33.
Melloni, A. and M. Martinelli. J. Lightwave Technol. 20 296, 2002.
Mookherjea, S., D.S. Cohen and A. Yariv. Opt. Lett. 27 933, 2002.
Pierce, J.R. Travelling-Wave Tubes, D. van Nostrand Company, Inc., Princeton, NJ, 1950.
Radic, S., N. George and G.P. Agrawal. J. Opt. Soc. Am. B 12 671, 1995.
Shaw, N., W.J. Stewart, J. Heaton and D.R. Wight. Electron. Lett. 35 1557, 1999.
Soljacic, M., S.G. Johnson, S. Fan, M. Ibanescu, E. Ippen and J.D. Joannopoulos. J. Opt. Soc. Am. B 19 2052, 2002.
Taylor, H.F. J. Lightwave Technol. 17, 1875, 1999.
Taylor, H.F. J. Lightwave Technol. 19 866, 2001.
Troup, G. Masers: Microwave Amplification by Stimulated Emission of Radiation, Hethuen Co, London, 1950.
Yeh, P., A. Yariv and C-S. Hong. J. Opt. Soc. Am. 67 423, 1977.
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Melloni, A., Morichetti, F. & Martinelli, M. Linear and nonlinear pulse propagation in coupled resonator slow-wave optical structures. Optical and Quantum Electronics 35, 365–379 (2003). https://doi.org/10.1023/A:1022957319379
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DOI: https://doi.org/10.1023/A:1022957319379