Ultrafast all-optical switching using signal flow graph for PANDA resonator

et al. 2015

Optoelectron. Lett.

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In this paper, a microring resonator (MRR) system using double-series ring resonators is proposed to generate and investigate the Rabi oscillations. The system is made up of silicon-on-insulator and attached to bus waveguide which is used as propagation and oscillation medium. The scattering matrix method is employed to determine the output signal intensity which acts as the input source between two-level Rabi oscillation states, where the increase of Rabi oscillation frequency with time is obtained at the resonant state. The population probability of the excited state is higher and unstable at the optical resonant state due to the nonlinear spontaneous emission process. The enhanced spontaneous emission can be managed by the atom (photon) excitation, which can be useful for atomic related sensors and single-photon source applications.Optical microring resonator (MRR) has emerged as a potential photonic structure in integrated technology with low power consumption [1] . MRR contributes in various technological applications, such as optical sensors [2] , optical amplification [3] , polarization conversion [4] , optofluidic devices [5] , optical spin generators [6] , frequency shifters [7] and on-chip spectrometry bio-analysis [8] . In quantum, the interaction between atoms and electromagnetic field is described precisely by the energy state transition as interaction phenomenon occurs in small distance with short time.The probability of atom transition between two energy levels is used to explain the interaction between electromagnetic field and atoms. Based on the perturbation theory, the atomic state population remains constant, as the probability amplitude of an atom transiting to other energy states is small. However, in presence of strong light field, the atomic population increases in higher energy level [9] . The probability of atom transition is found in form of oscillation against time which shows that the atom could be in ground or higher energy level, and such oscillations are known as Rabi oscillation [10] . The energy states for a system can be analyzed using the Hamiltonian of time-dependent Schrodinger equation for the light-atom interaction.In this paper, a theoretical formulation for the optical bright soliton pulse propagation within the nonlinear silicon-on-insulator (SOI) double-series microring resonator (DSMRR) system is presented based on optical transfer function [11] and scattering matrix method [12] . The SOI shows the nonlinear optical properties at various wavelengths, which provides strong light confinement [13] and is suitable for high-speed passive-waveguide applications. The Rabi oscillation at the through port of DSMRR system is described by the Hamiltonian, which represents the atoms with ambient surrounding as an unperturbed condition and the atoms interacting with optical bright soliton beam as a perturbed condition. The Rabi frequency equations for the interaction between atom and light within the DSMRR system are obtained by the analytical derivation of two-level atom approxima...

Section: Fig3 the Planar Soi Dsmrr Configuration And The Cross-sectimentioning

confidence: 93%

Rabi oscillation generation in the microring resonator system with double-series ring resonators

Noorden

Chaudhary

et al. 2015

Optoelectron. Lett.

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“…The Z-transform has been employed for analyzing the discrete time systems and manipulating the discrete data sequences extensively in the fields of digital filtering and signal processing [24,25], applied mathematics [26], economics [27] and control theory [28]. The signal flow graph (SFG) method takes advantage of Mason's rule [29,30] and the Z-transform [31,32] to calculate optical transfer function of photonic devices. The SFG method can be interpreted as a transformation of either the method of successive substitution of simultaneous equations or the transfer matrix method to a topological approach.…”

Section: Theoretical Backgroundmentioning

confidence: 99%

Double critical coupled ring resonator-based add–drop filters

Amiri

2019

J Theor Appl Phys

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In this paper, we introduced double-critical coupling condition (DCCC) for lossy mode couplers of the add-drop resonator to achieve the desirable and tunable signals required for optical communication and photonics sensors applications. The performance of add-drop resonator under double-critical condition is simulated and analyzed. Some equations were derived for optical parameters including full width at half maximum (FWHM), the out-of-band rejection ratio (OBRR), quality factor and the crosstalk of the add-drop resonator, and the output signals were examined as a function of DCCC. Based on double-critical condition, the OBRR values larger than 40 dB, the crosstalk larger than 50 dB, highest quality factor of 9000 and the FWHM as small as 0.17 nm were realized in silicon add-drop resonator, which are quite compatible with the reported experimental data. Double-critical condition shows that the lossless coupling is not enough condition to acquire high-quality filtered signal with a large crosstalk and in presence of coupling losses, the DCCC can determine the optimum relation between the strength of coupling coefficients and the coupling losses.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

“…(2) is the determinant delta for ith path. Details of the process for determining the OTF of PANDA Vernier filter are same as [6] but the circumference of the 1041-1135/$31.00 © 2013 IEEE rings needs to be converted to L = 2π R. The OTF for drop port of PANDA ring resonator can be obtained as…”

Section: Theoretical Backgroundmentioning

confidence: 99%

“…One of the obstacles to access the nonlinear operation in photonic materials for optical switching is the requirement for high-power excitation. To solve this problem, modified add-drop ring resonator called PANDA resonator is used as it requires short length of waveguide and low optical power to arise the nonlinearity [6]. In this letter the Mason rule [7], [8] with signal flow graph (SFG) method is used for symmetric InGaAsP-InP PANDA Vernier resonator to achieve the through and drop port optical transfer function (OTF).…”

Section: Introductionmentioning

confidence: 99%

Graphical Approach for Nonlinear Optical Switching by PANDA Vernier Filter

IEEE Photon. Technol. Lett.

Ali

Yupapin³

2013

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Nonlinear response of light such as bistability, the Ikeda instability and the dynamics of light within InGaAsPInP-modified add-drop resonator (PANDA Vernier resonator) is studied. The signal flow graph method is used to obtain the optical transfer function. Invariant and symmetric coupling coefficients k R = k L = 0.25 for indirect couplers are applied and the effect of changing symmetric direct couplers ( K 1 = K 2 ) for two different resonant mode numbers is studied. The minimum drop port switching time of 2.83 ps and 2.87 ps for resonant mode numbers of 7;5;5 and 4;3;3 are achieved, respectively. The simulated results introduce the PANDA Vernier system as a proper optical device for future optical communication and signal processing systems.Index Terms-Optical switching, bistable switching, PANDA vernier filter, optical bistability.