Characterisation of bifurcation and chaos in silicon microring resonator

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This study investigates the non-linear behaviours of light known as bifurcation and chaos during the propagation of light inside a non-linear silicon microring resonator (SMRR). The aim of the research is to use the non-linear behaviour of light to control the bifurcation and chaos of SMRR, which are used in engineering, biological and security systems. Bifurcation and chaos control deals with the modification of bifurcation characteristics of a parameterised non-linear system by a designed control input. The parameters of the SMRR cause bifurcation to happen in smaller round-trips among the total round-trip of 20 000 or input power. Effective parameters such as the refractive indices of a silicon waveguide, coupling coefficients (k) and the radius of the ring (R) can be selected properly to control the non-linear behaviour. Simulated results show that rising non-linear refractive indices, coupling coefficients and radii of the SMRR lead to descending input power and round-trips when bifurcation occurs. Therefore bifurcation behaviour can be seen at a lower input power of 44 W, where the non-linear refractive index is n2¼3.2×10 220m2/W. The smallest round-trips of 4770 and 5720 can be seen for theR¼40mmandk¼0.1, respectively.

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Characterisation of bifurcation and chaos in silicon microring resonator

  1. 1. 2/18/2014 IET Digital Library: Characterisation of bifurcation and chaos in silicon microring resonator lg Digital Library Home > Journals& magazines > IET Communications > Volume 6, issue 16 > Article Characterisation of bifurcation and chaos in silicon microring resonator MyBook is a Author(s): I. s. Amiri 1 ; R. Ahsan 2 ; A. Shahidinejad 3 ; J. Ali 1 ; P.P. Yupapin cheap paperback 4 edition of the View affiliations original book and Source: IET Communications, Volume 6, Issue 16, 6 November 2012, Wt" be Sold at p_ 2671 _ 2575 uniform, low price. DOI: 10.1049/iet-com.2011.0773 , Print ISSN 1751-8628; Buy article PDF Online ISSN 1751-8636 $23'94 Buy Knowledge Pack 10 articles for $144.00 0 « Previous Article - Table of contents - Next Article » © The Institution of Engineering and Technology Published 09/12/2012 Article ABSTRACT This study investigates the non-linear behaioL. rs of light known as biiurcat n and chaos during the propagation of light inside a non~linear silicon microring rosona1oriSii R). The aim of the research is to use the non—linear behaviour oi light to control the btlL. ‘f(; ’rltlL>. ’ nd chaos of SMRR, which are used in engineering biological and SEf‘tll'l'. y sysfems Bi ' control deals with the m ~ ‘ ' system bya designed control input. The parameters of the SMRR cause bifurcation to happen in smaller round-trips among the total round-trip of 20 000 or input power. Effective parameters such as the refractive indices of a silicon waveguide, coupling coefficients (K) and the radius of the ring (R) can be selected properly to control the non-Ii near behaviour. Simulated results show that rising non-linear refractive indices, coupling coefficients and radii of the SMRR lead to descending input power and round-trips when bifurcation occurs. Therefore bifurcation behaviour can be seen at a lower input power of 44 W, where the nori-linear refractive index is n2=3.2><10‘2° m2/W. The smallest round-trips of 4770 and 5720 can be seen for the R=40 pm and K= O.1, respectively. lnspec keywords: microcavities; chaos; bifurcation; refractive index; elemental semiconductors; silicon; micromechanical resonators Other keywords: Si; parameterised nonlinear system; light propagation; bifurcation characterisation; round-trips; SMRR; nonlinear refractive index; engineering systems; power 44 W; biological systems; input power; nonlinear behaviour; silicon microring resonator; coupling coefficients; security systems; silicon waveguide; chaos control http: //dig ital-I ibrary. theiet. org/ content/ j ournals/10.1049/let-com.201 1.0773
  2. 2. 2/18/2014 IET Digital Library: Characterisation of bifurcation and chaos in silicon microring resonator Subjects: MEMS and NEMS device technology; Microsensors and nanosensors References Analysis of performance degradation due to non-linearity and phase noise in orthogonal 1) frequency division multiplexing systems I 1 onward link is available for this reference. I CrossRef 2) Potential of the Fokker-Planck equation at degenerate Hopf bifurcation points I 1 onward link is available for this reference. I CrossRef 3) A study on bifurcation control using pattern recognition of thermal convection I 1 onward link is available for this reference. I CrossRef Oscillation modes, transient chaos and its control in a modulation-doped semiconductor 4) double-heterostructure I 1 omivard link is available for this reference. I CrossRef Effect of control loop configuration on the bifurcation behavior and gasoline yield of industrial fluid catalytic cracking (FCC) units I 1 onward link is available for this reference. I CrossRef 6) Unfolding a point of degenerate Hopf bifurcation in an enzyme-catalyzed reaction model I 1 onward link is available for this reference. I CrossRef 7) Multiple bistability in an optical-fiber double-ring resonator utilizing the Kerr effect I 1 onward link is available for this reference. I CrossRef 8) Optical bistability and differential amplification in nonlinear fiber resonators I 1 onward link is available for this reference. I CrossRef 9) Nonlinear fiber Fabry-Perot resonator using therrno-optic effect I 1 onward link is available for this reference. I CrossRef 10 Optical bistability, instabilities and power limiting behaviour from a dual nonlinear optical fibre ) loop mirror resonator I 1 omivard link is available forthis reference. I CrossRef 11 Analysis of optical instabilities and bistability in a nonlinear optical fibre loop mirror with ) feedback I 1 onward link is available for this reference. http: //digital-Iibrary. theiet. org/ contentflournals/10.1049/let-com.2011.0773
  3. 3. 2/18/2014 IET Digital Library: Characterisation of bifurcation and chaos in silicon microring resonator I CrossRef 12) Observation of bifurcation to chaos in an all-optical bistable system I 1 onward link is available for this reference. I CrossRef 13) Nonlinearity penalties and benefits oflight traveling in a fiber optic ring resonator I 1 onward link is available for this reference. I CrossRef Chaotic signal generation and cancellation using a micro ring resonator incorporating an 14) optical add/ drop multiplexer I 1 omivard link is available forthis reference. I CrossRef 15) Nonlinear effects in optical fibers: limitations and benefits I 1 onward link is available for this reference. I CrossRef Pitchfork bifurcation and all-optical digital signal processing with a coupled-element bistable system 16) I 1 onward link is available for this reference. I CrossRef 17) Orthogonal chaotic vector shift keying in digital communications I 1 onward link is available for this reference. I CrossRef 18) Period doubling and deterministic chaos in continuously pumped regenerative amplifiers I 1 onward link is available for this reference. I CrossRef Pitchfork bifurcation using a two-beam nonlinear Fabry—Perot interferometer: an analytical 1 9) study I 1 onward link is available for this reference. I CrossRef 20) Bifurcation to polarization self-modulation in vertical-cavity surface-emitting lasers I 1 onward link is available forthis reference. I CrossRef Observation of period-doubling bifurcations in a femtosecond fiber soliton laser with dispersion 21) management cavity I 1 onward link is available for this reference. I CrossRef 22) Simplified chaotic diffusionless Lorenz attractor and its application to secure communication I 1 onward link is available for this reference. I CrossRef 23) Controlling chaos and bifurcation of subsynchronous resonance in power system Robust chaotic communications exploiting waveform diversity. Part 1 : correlation detection and http: //dig ital-I ibrary. theiet. org/ content/ j ournals/10.1049/let-com.201 1.0773 3/4
  4. 4. 2/18/2014 IET Digital Library: Characterisation of bifurcation and chaos in silicon microring resonator 24) implicit coding I 1 onward link is available for this reference. I CrossRef 25) Micrometre-scale silicon electro-optic modulator I 1 onward link is available for this reference. I CrossRef 26) Mode conversion losses in silicon-on-insulator photonic wire based racetrack resonators I 1 onward link is available for this reference. I CrossRef Experimental demonstration of guiding and confining light in nanometer-size | ow-refractive- 27) index material I 1 onward link is available forthis reference. I CrossRef 28) Emission directionality of semiconductor ring lasers: a traveling-wave description I 1 onward link is available for this reference. I CrossRef 29) Fundamentals of optical waveguides Related content No related content was found for this content http: //digital-Iibrary. theiet. org/ contentflournals/10.1049/iet-com.2011.0773 4/4

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