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Microring resonator theory

The growing prevalence of silicon photonics in that field has motivated the rapid growth of the microring resonators, based on the silicon-on-insulator material. This book provides a concise treatment of the theory, principle and techniques of microring resonator devices, and their applications in optical filters, sensors, laser, nonlinear. The field of microring resonator research has seen tremendous growth over the past decade, with microring resonators now becoming a ubiquitous element in integrated photonics technology. This book fills the need for a cohesive and comprehensive treatment of the subject, given its importance and the proliferation of new research in the field A method for the design of waveguide-coupled microring resonators is described based on an improved coupled mode theory (CMT) approach. Characteristic parameters including coupling efficiency and Q factor are theoretically analyzed

(PDF) High-sensitivity polymer microring resonators for

Optical Microring Resonators: Theory, Techniques, and Applications (Series in Optics and Optoelectronics) [Van, Vien] on Amazon.com. *FREE* shipping on qualifying offers. Optical Microring Resonators: Theory, Techniques, and Applications (Series in Optics and Optoelectronics adshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86

Optical Microring Resonators: Theory, Techniques, and

Optical Microring Resonators book. Read reviews from world's largest community for readers. a detailed, cognizant account of numerous crucial aspects of.. coupling between the CW and CCW modes in the microring resonator, a modified coupled mode theory is used [7, 8]. The coupled mode equations are written as follows. ccw cw ccw cw ccw in cw a T R i a i dt T T da A T a i T R i a i dt T T da 2 2 1 2 2 1 = + ∆ + + = + + ∆ + + ω γ κ κ ω γ κ, where acw an Micro-resonator combs are generated in ultra-high-Q optical resonators that enable the confinement of extremely high optical power levels in very small mode-volumes

Coupled mode theory for modeling microring resonator

  1. vertical coupled microring resonator is presented. Based on a combination of a three dimen-sional, full vectorial fllm mode matching method (FMM) with a three dimensional full vectorial coupled mode theory (CMT), the device performance of vertically coupled microring resonator is rigorously investigated
  2. Abstract: A systematic engineering of waveguide-resonator coupling for optimum phase matching and field-overlap is proposed to achieve critical coupling and strong over-critical coupling for microring, micro racetrack and microdisk resonators on silicon-on-insulator (SOI) platform
  3. TSAY AND VAN: ANALYTIC THEORY OF STRONGLY-COUPLED MICRORING RESONATORS 999 can be described by the four transfer matrices M1, M2, M3 and M4.TheseN × N matrices are symmetric with the property that if there is coupling between waveguides i and j at junction k with coupling coefficient κi,j,thenMk(i, i) = Mk(j, j) = τi,j and Mk(i, j) = Mk(j, i) =−jκi,j, where τ2 i,j +κ
  4. Abstract: Microring resonators side coupled to signal waveguides provide compact, narrow band, and large free spectral range optical channel dropping filters. Higher order filters with improved passband characteristics and larger out-of-band signal rejection are realized through the coupling of multiple rings
  5. In addition, a lot of microring resonator implementations require neither advanced fabrication technologies nor exotic materials. Therefore, the study of devices based on microring resonators is one of most exciting research areas to emerge during the past few years. In fact, the advantages of microring resonators over conventional integrate
  6. Simulation and fabrication of silicon nitride microring resonator by DUV lithography. G. Cirino, Luis A. M. Barea, +5 authors T. M-Brahim. Materials Science. 2016 31st Symposium on Microelectronics Technology and Devices (SBMicro) 2016. View 1 excerpt, cites background. Research Feed
  7. Basic theory of ring resonators is discussed, and applied to the peculiarities of submicron silicon photonic wire waveguides: the small dimensions and tight bend radii, sensitivity to perturbations and the boundary conditions of the fabrication processes. Theory is compared to quantitative measurements. Finally, several of the more promising.

Optical microring resonators: theory, techniques, and

  1. counting and sizing using a microring resonator-waveguide system that contains a flow-through nanopore. Theoretical analysis is carried out based on the coupled-mode theory, showing that when the nanoparticle passes the nanopore a temporal pulse signal can be detected and that the peak amplitude depends linearly on the nanoparticle volume
  2. An excellent review of micro ring resonator theory can be found here: and Heinrich Kurz, Ultrahigh-quality-factor silicon-on-insulator microring resonator, Opt. Lett. 29, 2861-2863.
  3. photons. Classically, the field enhancement effect by a microring resonator has been studied in Ref. [18] with GaAs microring resonators, and in Ref. [19] with SOI microring resonators. Quantum mechanically, there are several experimental demonstrations of photon pair genera
  4. Optical Microring Resonators: Theory, Techniques, and Applications: Van, Vien: 9781466551244: Books - Amazon.c
  5. Optical Microring Resonators: Theory, Techniques, and Applications [Van, Vien] on Amazon.com.au. *FREE* shipping on eligible orders. Optical Microring Resonators.

Coupled mode theory for modeling microring resonators

  1. In this research, microring resonators are fabricated in benzocyclobutene (BCB), a popular polymer in photonics and electronics applications. First, the single-mode BCB undercut-cladding waveguides were designed to reduce bending loss. BCB microring resonators were fabricated based on those principles. BCB single
  2. In particular, the microring resonators (MRRs) with compact sizes and ultrahigh-Q factors show great potential in lasers [10-14,20], sensors [21-24], and filters [25-28]. Compared with basic MRRs, the racetrack MRRs using lateral coupling, increase the coupling gap size and the fabrication tolerance. Here, in this paper, ultrahigh-Q facto
  3. entropy Article Entropy Generation and Thermoelastic Damping in the In-plane Vibration of Microring Resonators Yongpeng Tai 1,*, Pu Li 2, Yan Zheng 1 and Jie Tian 1 1 College of Automobile and Tra c Engineering, Nanjing Forestry University, Nanjing 210037, China 2 School of Mechanical Engineering, Southeast University, Nanjing 211189, China * Correspondence: tai@njfu.edu.cn; Tel.: +86-025-8542859
  4. nal double microring resonator [9]. We have demonstrated series-coupled SOI strip waveguide racetrack resonators with an extended FSR of 36.2 nm and an improvement in the interstitial peak suppression of greater than 11 dB [10]. In this paper, we present an explanation of the theory and experimental results of the Vernie
  5. The project will run in a close collaboration between Strathclyde and MPISL. The CNQO group at Strathclyde is in a unique and strategic position worldwide being the inventor of the theory and first developer of the simulations associated with cavity-solitons, the key elements of the optimal frequency-comb generation using resonators. Dr

We proposed a 1×N-channel cross-grid microring resonator array (MRRA) model according to the coupled mode theory (CMT), electro-optic (EO) modulation theory, and microring resonance theory.This model integrates wavelength division multiplexing and switching functions. When this model is subjected to an operating voltage, the horizontal channel outputs a new resonance wave Microring Resonator Biosensors. Microring resonators provide high sensitive label-free optical biosensor platforms. The light coupled into the resonator via a waveguide is confined within the microring cavity due to total internal reflections and high-Q resonant modes (Q~12000) are formed. The positions of these modes depend on the effective. In order to overcome these difficulties and endow systems with robustness, we propose a reverse design method of microring resonator channel dropping filters based on the layout connecting multiple cells consisting of two straight waveguides and one microring in series. The reverse solving design is a design process from effects to causes.

or loss splitting phenomena are observed in the microring resonator. We first employ coupled mode theory to describe the nonconservative coupling effect in a ring resonator con-figured as an add-drop filter. The coupled mode equations can be given by d dt a ¼ iωa − 1 τia − 2 τea a −iμbab; ð1Þ d dt b¼ iωb − 1 τib 2 τeb μaba. We investigate entangled photon pair generation in a lossy microring resonator using an input-output formalism based on the work of Raymer and McKinstrie (Phys. Rev. A 88, 043819 (2013)) and Alsing, et al. (Phys. Rev. A 95, 053828 (2017)) that incorporates circulation factors that account for the multiple round trips of the fields within the cavity. We consider the nonlinear processes of. The authors investigate the process of virtual photon absorption in integrated photonic setups made of microring resonators. They show that by tailoring the temporal waveform of the input signal, it is possible to trap most of the incident energy inside the resonator with minimal leakage. This energy is then released once the input signal is switched off As we know, the optical waveguide theory can solve coupled-mode equations of a single microring resonator [].In 2006, Xu et al first observed experimentally that the apparent splitting occurs in the absorption spectrum of integrated dual-microring resonators [].The concept of electromagnetic induction transparency (EIT) was first proposed by Harris et al [] in the three-level atomic system.

Silicon microring resonators — Eindhoven University of

An Overview of Recent Developments in Microring Resonator Based Photonic Circuits. Otto Schwelb. Related Papers. Microring Resonator Based Photonic Circuits: Analysis and Design. By Otto Schwelb. A decade of progress in microring and microdisk based photonic circuits: a personal selection The Fabry-Pérot resonator can be replaced by a microring resonator that is EO-modulated at a frequency matching the FSR of the ring. Similarly to the Fabry-Pérot resonator, a continuous-wave. Tunability is a desirable property of microring resonators to facilitate superior performance. Using light to control light, we present an alternative simple approach to tuning the extinction. We investigate entangled photon-pair generation in a lossy microring resonator using an input-output formalism based on the work of M. G. Raymer and C. J. McKinstrie [Phys. Rev. A 88, 043819 (2013)] and P. M. Alsing et al. [Phys. Rev. A 95, 053828 (2017)] that incorporates circulation factors that account for the multiple round-trips of the fields within the cavity

Synopsis. a detailed, cognizant account of numerous crucial aspects of optical microring resonators - Amr S. Helmy, Professor of Electrical & Computer Engineering, University of Toronto an excellent choice for gaining an insight into the vast potential of microring resonators - Jalil Ali, Professor, Laser Center ISI-SIR, University of. Polymeric Mach-Zehnder interferometer using serially coupled microring resonators George T. Paloczi, Yanyi Huang, and Amnon Yariv Department of Applied Physics, California Institute of Technology,Pasadena, CA 91125 USA paloczi@caltech.edu, ayariv@caltech.edu Shayan Mookherjea Department of Computer and Electrical Engineering, University of California, San Diego, La Jolla, CA 92093 USA Abstract. We present a detailed study on the behavior of coupling-induced resonance frequency shift (CIFS) in dielectric microring resonators. CIFS is related to the phase responses of the coupling region of the resonator coupling structure, which are examined for various geometries through rigorous numerical simulations

Optical ring resonators - Wikipedi

  1. Forward stimulated Brillouin scattering in silicon microring resonators Yaojing Zhang,1 Liang Wang, 1,a) Zhenzhou Cheng,2 and Hon Ki Tsang1,a) 1Department of Electronic Engineering, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong 2Department of Chemistry, The University of Tokyo, Tokyo 113-0033, Japan Stimulated Brillouin scattering (SBS) has been demonstrated in.
  2. ed by microring's resonance lineshapes. We propose a compact structure to reliably realize Lorentzian, Fano, and electromagnetically induced transparency (EIT) resonance lineshapes in a microring. By simply.
  3. The authors report on nonconservative coupling in a passive silicon microring between its clockwise and counterclockwise resonance modes. The coupling coefficient is adjustable using a thermo-optic phase shifter. The resulting resonance of the supermodes due to nonconservative coupling is predicted in theory and demonstrated in experiments. This Letter paves the way for fundamental studies of.
  4. 2. Microring resonator-based optical corrosion sensing 2.1. Microring resonator theory A microring resonator is an optical component to con ne light bytotal internal re ection(TIR), whichcan be createdby micro/ nano fabrication techniques. A ring resonator consists of a bus WG and ring WG. The dimensions of the ring WG and bus W
  5. microring optics, offers great potential from both scientific and practical perspectives. However, the mechanisms of comb formation appear to differ from traditional frequency combs formed by pulsed femtosecond lasers, and thus require detailed elucidation through theory and simulation. Her

Microring resonators are a fundamental building block for integrated optical filters, and have both modulation and waveform generation applications. A hybrid chalcogenide (As2S3) on titanium diffused (Ti:LiNbO3) waveguide platform has been developed to realize tunable microring resonators on a lithium niobate (LiNbO3) substrate The intensity buildup of light inside a lossy microring resonator can be used to enhance the generation of squeezed states via spontaneous parametric downconversion (SPDC). In this work, we model the generation of squeezed light in a microring resonator that is pumped with a Gaussian pulse via a side-coupled channel waveguide. We theoretically determine the optimum pump pulse duration and ring.

Silicon microring resonators - IOPscienc

  1. ii. Thesis Approval . The Graduate College The University of Nevada, Las Vegas May 1, 2015 This thesis prepared by Yunjia Man entitled Reducing Insertion Loss of Wavelength-Routed Optical Network Based on Microring
  2. Single - and double-waveguide coupled resonators are designed and analyzed according to Silicon On Insulator (SOI) technology. In the last few decades much study has been done on the Microring Resonators (MRRs). In order to enhance group delay, many different structures have been proposed and constructed. In this theoretical study, by variation of coupling coefficient in terms of altering.
  3. theory applies, however, to arbitrary resonator type (microring, photonic crystal cavity, etc.), in 2D (e.g. toy models) or 3D (real devices), and for arbitrary choices of excitation mode (e.g. polarization) and loss mechanism. In our example, we consider bending loss as the source of loss, but the approach Fig. 1 shows the geometry of the device
  4. The direct heating by phonon absorption leads to thermal optical bistable switching in PECVD silicon nitride based microring resonators. We calibrate the linear absorption rate in the microring resonator by measuring its transmission lineshape at different laser power levels, consistent with coupled mode theory calculations
  5. Analytic theory for strongly-coupled microring resonators of general 2-D coupling topologies is developed based on the field coupling formalism. The theory allows simple characteristic equation for coupled microring resonators (CMR) of general coupling topology to be formulated, from which closed form analytical expressions of the transmission responses of the device can be derived
  6. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract: Circuits of dielectric integrated optical microring resonators are addressed through a 2-D hybrid analytical / numerical coupled mode theory (HCMT) model. Analytical modes of all straight and curved cores form templates for the optical fields of the entire circuits

Silicon photonic microring resonators have emerged as a sensitive and highly multiplexed platform for real-time biomolecule detection. Herein, we profile the evanescent decay of device sensitivity towards molecular binding as a function of distance from the microring surface. By growing multilayers. Microring-resonator-based add-drop filters in SiN: fabrication and analysis Tymon Barwicz, Miloš A. Popovi , Peter T. Rakich, Michael R. Watts, (Chebyshev) drop-port response. A simplified coupled-mode theory (CMT), based on that in the appendix of [1] but in 3D, was used to convert desired power couplings to bus-ring and ring-ring coupler.

Thermoelastic damping is a critical issue for designing very high quality factor microresonators. This paper derives the entropy generation, associated with the irreversibility in heat conduction, that is used for ring resonators in in-plane vibration and presents an analytical model of thermoelastic damping according to heat increments calculated by entropy theory The diameter of the microring is 9 micrometers. The introduced rotational symmetry in our microring resonator is continuous, mimicking an infinite system, says Feng. The counterintuitive. chao and guo: design and optimization of microring resonators in biochemical sensing applications 1397 table i overall sensitivity s of amicroringsensor is definedbased on two sensing mechanisms (homogeneous andsurface sensing) and two sensing schemes (resonant-wavelength-shift scheme andintensity-variationscheme).sensitivity ineach of thefour cases isexpressed as amultiplication of th 2. THEORY A. Transmission Characteristics of a Microring Resonator The spectral dependence of the transmission of aring resonator with an input port and no add or through port has been thor-oughly characterized and can be derived analytically using the scattering matrix approach [26-28], T 0 t −αeiϕ 1− αteiϕ 2; (1

transmission function of a singly coupled microring resonator can be expressed by the following equation according to the coupled mode theory [29]: T = 4 ω−ω0 ω0 2 + 1 Q c − 1 Q i 2 4 ω−ω0 ω0 2 + 1 Q c + 1 Q i 2 (1) where ω is the frequency of the input light, ω 0 is the resonant frequency of the optical mode in th We theoretically investigate and optimize the performance of four-wave mixing (FWM) in microring resonators (MRRs) integrated with two-dimensional (2D) layered graphene oxide (GO) films. Owing to the interaction between the MRRs and the highly nonlinear GO films as well as to the resonant enhancement effect, the FWM efficiency in GO-coated MRRs can be significantly improved increased. According to effective medium theory, it can also be considered as a continuous waveguide made of a uniform material [19]. Several experimental results demonstrated that the bulk sensitivity of SWG microring resonator could be more than 400 nm/RIU [18], [44], [45], [56]. By decreasing th 2. Nonlinear microring resonator with VO2 The excitable microring is based on the cooperative effects of free-carrier dispersion (FCD) and the thermo-optic (TO) effect which induce a blueshift and redshift of the resonance wavelength, respectively. The coupled mode theory (CMT) model of a microring can correctly describe a wide range of. Fig. 1. A schematic of the waveguide-coupled microcavity resonator, show-ing a microring resonator coupled to straight waveguides. bending loss. Therefore, compared with the weakly guiding waveguide, the strongly guiding microcavity can be up to 1000 times smaller. Because of the small size, the propagation loss in the cavity is also negligible

Basic impression of a post-wall waveguide

Available in: Hardback. a detailed, cognizant account of numerous crucial aspects of optical microring resonators - Amr S. Helmy, Professor of Electrical & Computer Engineering, University of Toronto an excellent choice for gaining an insight into.. Numerical Analysis of Perforated Microring Resonator Based Refractive Index Sensor M. Gabalis*1, D. Urbonas1, and R. Petruškevičius1 1Institute of Physics of Center for Physical Sciences and Technology, Vilnius, Lithuania *gysliukas@micro.lt Abstract: In this work perforated microring resonator based refractive index sensor i The coupling coefficient of resonators is a dimensionless value that characterizes interaction of two resonators. Coupling coefficients are used in resonator filter theory. Resonators may be both electromagnetic and acoustic. Coupling coefficients together with resonant frequencies and external quality factors of resonators are the generalized parameters of filters 2. Microring resonator based optical switch The basic configuration of the silicon MRR [29-32] consisting of two straight bus waveguides coupled to a microring in between is shown in Fig. 1. A ring resonator acts as an optical reservoir to accumulate the power. When th

(PDF) HCMT models of optical microring-resonator circuits

Optical Microring Resonators Taylor & Francis Grou

The ability to control the modes oscillating within a laser resonator is of fundamental importance. In general, the presence of competing modes can be detrimental to beam quality and spectral purity, thus leading to spatial as well as temporal fluctuations in the emitted radiation. We show that by harnessing notions from parity-time (PT) symmetry, stable single-longitudinal mode operation. 52 Tyurnev when lc is equal to the resonator strip length lr, the electrical length µ of the resonator is a multiple of at resonant frequencies!e and!o: Therefore, (9) yields k(lc)jl c= lr = (e ¡o)/(e +o): (18)where e and o are the efiective dielectric constants for even and odd modes in coupled microstrip lines. The theory of non-uniform coupled transmission lines make c, Integrated microring EO comb generator. The Fabry-Pérot resonator can be replaced by a microring resonator that is EO-modulated at a frequency matching the FSR of the ring. Similarly to the Fabry-Pérot resonator, a continuous-wave laser coupled into the ring resonator is converted to a frequency comb in the output optical waveguide Self-coupled microring resonator with multiple split resonances has been proposed, fabricated and experimentally demonstrated. Experimental results show that variable numbers of split resonance notches in the transmission spectrum are achieved at different wavelengths. This device with more closely spaced resonances in th

Optical Microring Resonators for Photoacoustic Imaging and

10.1.1.719.9056.pdf. Size: 1.931M Optical bistability (BI) and self-pulsation (SP) in high-Q silicon microring resonators (MRRs) induced by thermo-optical (TO) effect and other nonlinear effects are theoretically studied with coupled mode theory and linear stability analysis method.It is found that the boundaries for both BI and SP are mainly restricted by two counteracting effects: free carrier dispersion effect and TO effect The basic structure of the silicon microring resonator used in the experiment is a ring evanescently coupled to a single straight waveguide as shown in Fig. 1. According to the coupled mode theory, the transfer function of the microring resonator can be expressed as [10]: 0 0 ie i 0 ie 11 j( ) s T( ) s 11 j( ) ω−ω + − ττ ω= = ω−ω. oneered a novel method of locking and stabilizing microring resonators. The underlying principle of our method is to use dithering signals to break the symmetry of the microring resonator [12]. For most applications, the minimum transmission point of the microring resonance is aligned with the laser wavelength it is routing and detecting

Theory and simulations of frequency combs in micro-ring

1 are defined as ∆α= d3r[ε(r)−ε0(r)]EΩ(r)·EΩ(r) (3a) κ1 = d3r[ε0(r−Λˆz)−ε(r−Λzˆ)]×EΩ(r)·EΩ(r−Λˆz). (3b) ε(r) is the dielectric coefficient of the CROW and ε0(r) is the dielectric coefficient of an indi- vidual resonator. Therefore, the coupling parameter κ1 represents the overlap of the modes of two neighboring resonators and ∆α/2 gives the fractional. Optomechanically induced non-reciprocity in microring resonators Mohammad Hafezi1,∗ and Peter Rabl2 1Joint Quantum Institute, NIST/University of Maryland, College Park 20742, USA 2Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria ∗ hafezi@umd.edu Abstract: Wedescribeanew approach foron-chip opticalnon-reciprocit

Systematic Engineering of Waveguide-Resonator Coupling for

coupled microring resonators, IEEE Phot. Tech. Lett. 12, 320-322 (2000). between the measured results and the predictions of the matrix theory. 2. Fabrication and measurement The devices were prepared by first spinning a 1.6 µm thick optical core layer of a negative novalac epoxy SU-8 (n=1.565, available from Micro-Chem Corp.) onto a. Microring resonators are a type of whispering gallery mode sensor capable of detecting bulk changes in refractive index. Here, we demonstrate the use of silicon photonic microring resonator arrays as a postcolumn detector for capillary electrophoresis. In this approach, we establish the universal detection capabilities of microrings through. Optical Microring Resonators : Theory, Techniques, and Applications. The field of microring resonator research has seen tremendous growth over the past decade, with microring resonators now becoming a ubiquitous element in integrated photonics technology. This book fills the need for a cohesive and comprehensive treatment of the subject, given.

Entropy | Free Full-Text | Entropy Generation and

Microring resonator channel dropping filters IEEE

S. Shekhar, Wavelength tuning and stabilization of microring-based filters using silicon in-resonator photocon-ductive heaters, Opt. Express 23(19), 25084-25097 (2015). 26. A. Tait, T. Ferreira de Lima, M. Nahmias, B. Shastri, and P. Prucnal, Continuous calibration of microring weight Optical Microring Resonators : Theory, Techniques, and Applications. a detailed, cognizant account of numerous crucial aspects of optical microring resonators - Amr S. Helmy, Professor of Electrical & Computer Engineering, University of Toronto an excellent choice for gaining an insight into the vast potential of microring resonators †Jalil Ali, Professor, Laser Center ISI-SIR.

Design,simulationandexperimentalrealizationofwaveguide

We present a new approach for designing a compact microring resonator structure based on only one multimode waveguide, which can provide a very high free spectral range (FSR) and capability of controlling the critical coupling. The silicon on insulator (SOI) waveguide and graphene-silicon waveguide (GSW) are used for the proposed structure. By changing the applied voltage on the graphene sheet. We propose using a slotted photonic crystal nanobeam to construct a microring resonator. The transmission characteristics of the slotted photonic crystal nanobeam and the microring resonator are demonstrated by two-dimensional finite-difference time-domain simulation, and the mechanism of these characteristics is analyzed considering the introduction of the slot Power profile maps of the dual-microring resonator at resonant wavelengths: (a) λ1 = 1581.54 nm and (b) λ2 = 1582.14 nm. Based on the FDTD simulation of the power profiles of the dual-microring resonator, a single-mode optical fibre is used with wavelength 1.55μm. The colour bar shows that the intensity of power field has a graduall

(PDF) Theoretical and Simulation Analysis of The Add/DropAkihiro Takezawa - Dielectric Whispering-Gallery ringFour rings system

The aim of this thesis is to present and analyse optical interconnection architectures based on microring resonators. The trend of meeting large bandwidth and strict latency requirements in both global on-chip and off-chip communication face critical challenges in maintaining a sustainable performance-per-watt The figure describes the geometry and features of a topological insulator laser based on the Haldane model while adding saturable gain, loss, and an output port. The cavity is a planar honeycomb lattice of coupled microring resonators, pumped at the perimeter with a lossy interior A semi-analytical method for fast simulation of microring resonators with distributed Bragg reflectors (DBR-MRR) is presented. Under the low loss condition, the structure exhibits a spectral response similar to that of a sampled-grating distributed Bragg reflector (SGDBR) strate a microring resonator-based two-beam interferometer (MRR-TBI) on silicon-on-insulator (SOI) to produce tunable Fano resonances. Two microheaters are addressed to tune the line shapes and resonant wavelengths, respectively, by utilizing the thermo-optic (TO) effect of silicon. The relationship between the spectral slope and phase differenc