Low order modes in microcavities based on silicon colloids

[EN] Silicon colloids based microcavities, with sphere size between 1 and 3 micrometers, have been synthesized and optically characterized. Due to both the small cavity volume and the high refractive index of silicon we are able to tune resonances with extremely low mode index, whose electric field distribution resembles those of electronic orbitals. The value of some parameters such as quality factor Q, effective mode volume, and evanescent field have been calculated for several modes. This calculation indicates silicon colloids can be a serious strategy for developing optical microcavities where may coexist both optical modes with large evanescent fields useful for sensing applications, as well as modes with high Q/V ratio values, of the order of 10(9)(lambda/n)(-3). (C) 2011 Optical Society of AmericaThe authors acknowledge financial support from projects Apoyo a la investigacion 2009 from Universidad Politecnica de Valencia, no reg. 4325, FIS2009-07812, Consolider 2007-0046 Nanolight, PROMETEO/2010/043. E. Xifre-Perez acknowledges the financial support from the program Juan de la Cierva (Spanish Ministerio de Educacion y Ciencia). Finally, we thank Prof. J. Garcia de Abajo for providing us with the MESME theoretical program we have used in the calculation of electric field distribution of the Mie modes.Xifre Perez, E.; Fenollosa Esteve, R.; Meseguer Rico, FJ. (2011). Low order modes in microcavities based on silicon colloids. Optics Express. 19(4):3455-3463. https://doi.org/10.1364/OE.19.003455S34553463194Muller, D. A. (2005). A sound barrier for silicon? Nature Materials, 4(9), 645-647. doi:10.1038/nmat1466Song, B.-S., Noda, S., Asano, T., & Akahane, Y. (2005). Ultra-high-Q photonic double-heterostructure nanocavity. Nature Materials, 4(3), 207-210. doi:10.1038/nmat1320Blanco, A., Chomski, E., Grabtchak, S., Ibisate, M., John, S., Leonard, S. W., … van Driel, H. M. (2000). Large-scale synthesis of a silicon photonic crystal with a complete three-dimensional bandgap near 1.5 micrometres. Nature, 405(6785), 437-440. doi:10.1038/35013024Song, B.-S. (2003). Photonic Devices Based on In-Plane Hetero Photonic Crystals. Science, 300(5625), 1537-1537. doi:10.1126/science.1083066Ashkin, A., & Dziedzic, J. M. (1977). Observation of Resonances in the Radiation Pressure on Dielectric Spheres. Physical Review Letters, 38(23), 1351-1354. doi:10.1103/physrevlett.38.1351Ashkin, A., & Dziedzic, J. M. (1981). Observation of optical resonances of dielectric spheres by light scattering. Applied Optics, 20(10), 1803. doi:10.1364/ao.20.001803Painter, O. (1999). Two-Dimensional Photonic Band-Gap Defect Mode Laser. Science, 284(5421), 1819-1821. doi:10.1126/science.284.5421.1819Armani, D. K., Kippenberg, T. J., Spillane, S. M., & Vahala, K. J. (2003). Ultra-high-Q toroid microcavity on a chip. Nature, 421(6926), 925-928. doi:10.1038/nature01371Inoue, K., Sasaki, H., Ishida, K., Sugimoto, Y., Ikeda, N., Tanaka, Y., … Asakawa, K. (2004). InAs quantum-dot laser utilizing GaAs photonic-crystal line-defect waveguide. Optics Express, 12(22), 5502. doi:10.1364/opex.12.005502Fenollosa, R., Meseguer, F., & Tymczenko, M. (2008). Silicon Colloids: From Microcavities to Photonic Sponges. Advanced Materials, 20(1), 95-98. doi:10.1002/adma.200701589Stöber, W., Fink, A., & Bohn, E. (1968). Controlled growth of monodisperse silica spheres in the micron size range. Journal of Colloid and Interface Science, 26(1), 62-69. doi:10.1016/0021-9797(68)90272-5Conwell, P. R., Barber, P. W., & Rushforth, C. K. (1984). Resonant spectra of dielectric spheres. Journal of the Optical Society of America A, 1(1), 62. doi:10.1364/josaa.1.000062Ng, J., Chan, C. T., Sheng, P., & Lin, Z. (2005). Strong optical force induced by morphology-dependent resonances. Optics Letters, 30(15), 1956. doi:10.1364/ol.30.001956Vahala, K. J. (2003). Optical microcavities. Nature, 424(6950), 839-846. doi:10.1038/nature01939García de Abajo, F. J. (1999). Interaction of Radiation and Fast Electrons with Clusters of Dielectrics: A Multiple Scattering Approach. Physical Review Letters, 82(13), 2776-2779. doi:10.1103/physrevlett.82.2776Xifré-Pérez, E., García de Abajo, F. J., Fenollosa, R., & Meseguer, F. (2009). Photonic Binding in Silicon-Colloid Microcavities. Physical Review Letters, 103(10). doi:10.1103/physrevlett.103.103902Tanaka, Y., Asano, T., & Noda, S. (2008). Design of Photonic Crystal Nanocavity With $Q$-Factor of ${{\sim}10^{9}}$. Journal of Lightwave Technology, 26(11), 1532-1539. doi:10.1109/jlt.2008.923648Takahashi, Y., Tanaka, Y., Hagino, H., Sugiya, T., Sato, Y., Asano, T., & Noda, S. (2009). Design and demonstration of high-Q photonic heterostructure nanocavities suitable for integration. Optics Express, 17(20), 18093. doi:10.1364/oe.17.018093Kippenberg, T. J., Spillane, S. M., & Vahala, K. J. (2004). Demonstration of ultra-high-Q small mode volume toroid microcavities on a chip. Applied Physics Letters, 85(25), 6113-6115. doi:10.1063/1.1833556Braginsky, V. B., Gorodetsky, M. L., & Ilchenko, V. S. (1989). Quality-factor and nonlinear properties of optical whispering-gallery modes. Physics Letters A, 137(7-8), 393-397. doi:10.1016/0375-9601(89)90912-

Recent advances on recursive filtering and sliding mode design for networked nonlinear stochastic systems: A survey

Copyright © 2013 Jun Hu et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Some recent advances on the recursive filtering and sliding mode design problems for nonlinear stochastic systems with network-induced phenomena are surveyed. The network-induced phenomena under consideration mainly include missing measurements, fading measurements, signal quantization, probabilistic sensor delays, sensor saturations, randomly occurring nonlinearities, and randomly occurring uncertainties. With respect to these network-induced phenomena, the developments on filtering and sliding mode design problems are systematically reviewed. In particular, concerning the network-induced phenomena, some recent results on the recursive filtering for time-varying nonlinear stochastic systems and sliding mode design for time-invariant nonlinear stochastic systems are given, respectively. Finally, conclusions are proposed and some potential future research works are pointed out.This work was supported in part by the National Natural Science Foundation of China under Grant nos. 61134009, 61329301, 61333012, 61374127 and 11301118, the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant no. GR/S27658/01, the Royal Society of the UK, and the Alexander von Humboldt Foundation of Germany

Variance-constrained multiobjective control and filtering for nonlinear stochastic systems: A survey

The multiobjective control and filtering problems for nonlinear stochastic systems with variance constraints are surveyed. First, the concepts of nonlinear stochastic systems are recalled along with the introduction of some recent advances. Then, the covariance control theory, which serves as a practical method for multi-objective control design as well as a foundation for linear system theory, is reviewed comprehensively. The multiple design requirements frequently applied in engineering practice for the use of evaluating system performances are introduced, including robustness, reliability, and dissipativity. Several design techniques suitable for the multi-objective variance-constrained control and filtering problems for nonlinear stochastic systems are discussed. In particular, as a special case for the multi-objective design problems, the mixed H 2 / H ∞ control and filtering problems are reviewed in great detail. Subsequently, some latest results on the variance-constrained multi-objective control and filtering problems for the nonlinear stochastic systems are summarized. Finally, conclusions are drawn, and several possible future research directions are pointed out

A survey on gain-scheduled control and filtering for parameter-varying systems

Copyright © 2014 Guoliang Wei et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.This paper presents an overview of the recent developments in the gain-scheduled control and filtering problems for the parameter-varying systems. First of all, we recall several important algorithms suitable for gain-scheduling method including gain-scheduled proportional-integral derivative (PID) control, H 2, H ∞ and mixed H 2 / H ∞ gain-scheduling methods as well as fuzzy gain-scheduling techniques. Secondly, various important parameter-varying system models are reviewed, for which gain-scheduled control and filtering issues are usually dealt with. In particular, in view of the randomly occurring phenomena with time-varying probability distributions, some results of our recent work based on the probability-dependent gain-scheduling methods are reviewed. Furthermore, some latest progress in this area is discussed. Finally, conclusions are drawn and several potential future research directions are outlined.The National Natural Science Foundation of China under Grants 61074016, 61374039, 61304010, and 61329301; the Natural Science Foundation of Jiangsu Province of China under Grant BK20130766; the Program for Professor of Special Appointment (Eastern Scholar) at Shanghai Institutions of Higher Learning; the Program for New Century Excellent Talents in University under Grant NCET-11-1051, the Leverhulme Trust of the U.K., the Alexander von Humboldt Foundation of Germany

Fuzzy-logic-based control, filtering, and fault detection for networked systems: A Survey

This paper is concerned with the overview of the recent progress in fuzzy-logic-based filtering, control, and fault detection problems. First, the network technologies are introduced, the networked control systems are categorized from the aspects of fieldbuses and industrial Ethernets, the necessity of utilizing the fuzzy logic is justified, and the network-induced phenomena are discussed. Then, the fuzzy logic control strategies are reviewed in great detail. Special attention is given to the thorough examination on the latest results for fuzzy PID control, fuzzy adaptive control, and fuzzy tracking control problems. Furthermore, recent advances on the fuzzy-logic-based filtering and fault detection problems are reviewed. Finally, conclusions are given and some possible future research directions are pointed out, for example, topics on two-dimensional networked systems, wireless networked control systems, Quality-of-Service (QoS) of networked systems, and fuzzy access control in open networked systems.This work was supported in part by the National Natural Science Foundation of China under Grants 61329301, 61374039, 61473163, and 61374127, the Hujiang Foundation of China under Grants C14002 andD15009, the Engineering and Physical Sciences Research Council (EPSRC) of the UK, the Royal Society of the UK, and the Alexander von Humboldt Foundation of Germany

Introduction: Localized Structures in Dissipative Media: From Optics to Plant Ecology

Localised structures in dissipative appears in various fields of natural science such as biology, chemistry, plant ecology, optics and laser physics. The proposed theme issue is to gather specialists from various fields of non-linear science toward a cross-fertilisation among active areas of research. This is a cross-disciplinary area of research dominated by the nonlinear optics due to potential applications for all-optical control of light, optical storage, and information processing. This theme issue contains contributions from 18 active groups involved in localized structures field and have all made significant contributions in recent years.Comment: 14 pages, 0 figure, submitted to Phi. Trasaction Royal Societ