# Nonlinear Effects In Coherently Coupled Laser Resonators

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### Manipulation of light in MIM plasmonic waveguide systems

using detuned resonators that are both coupled to a bus waveguide. The latter scheme is essential for the observa-tion of EIT-like and slow-light effects. Han et al. [59] demonstrated the realization of on-chip plasmonic analogue of EIT in integrated plasmonic devices using detuned Fab-ry-Perot resonators coupled to a MIM waveguide. The MIM

### Steady-state mechanical squeezing and ground-

Apr 05, 2020 effects, has resulted in some interesting physical phenomena. It has been shown [32] that a Kerr nonlinear medium inside an optomechanical cavity inhibits the normal-mode splitting due to the photon blockade mechanism, reduces the photon num-ber fluctuation, and provides a coherently controlled dynam-

### Experimental Measurements of Self-Phasing Due to Nonlinear

Abstract: Nonlinear effects are measured in passively coherently combined fiber lasers. We show that these effects can completely compensate for random fiber path length errors and promote robust lasing under many conditions. OCIS codes: (140.3298) Laser Beam Combining; (140.3410) Laser resonators 1. Introduction

### Nonlinear optics in spheres: from second harmonic scattering

mode resonators. Nonlinear optics in spheres: from second harmonic scattering to quasi-phase matched generation in whispering gallery modes Gregory Kozyreff1,*, Jorge Luis Dominguez-Juarez2, and Jordi Martorell2,3,* 1. Introduction In nonlinear optics, quadratic effects require the inversion symmetry to be broken. This can happen either in the bulk

### Development of a Dammann Grating to Study Kramers-Kronig Self

Kronig Self- Phasing in Coherently Combined Fiber Lasers. Optics Letters, 4104-4104 4) Goodman, J. (2007). Fresnel and Fraunhofer Diffraction. In Introduction to Fourier optics (3rd ed., 1st Indian ed.). New Delhi: Viva Books Private. 5) Leger, J., & Chiang, H. (2014). Nonlinear effects in coherently coupled laser resonators.

### A chip-integrated coherent photonic-phononic memory

nonlinear effects to coherently couple two optical waves and an acoustic wave. The optical data signal is transferred to the acoustic wave by a strong counter-propagating optical write signal. Using this nonlinear effect as a memory was ﬁrst proposed in highly nonlinear ﬁbre22, 28. The storage of only one amplitude level of

### Passive fiber ring flip-flop memory based on polarization

storage devices. These devices consist of simple nonlinear passive fiber ring resonators synchronously and coherently pumped by a cw mode-locked train of ultrashort pulses. It is well known that these systems exhibit rich nonlinear dynamics involving, in particular. optical bistability and

### PHYSICAL REVIEW A102, 023526 (2020)

The linear response of the coupled microcavities is ﬁrst characterized by shining a weak pump laser and recording the transmitted intensity as a function of the laser detuning = h¯ω p −h¯ω 0, where ω p indicates the laser frequency and ω 0 the frequency of the fundamental mode of each (identical) pillar. The result is shown in Fig. 1(c).

### All-optical slow-light on a photonic chip

represent significant advantages for producing large slow-light effects. On-chip delay schemes in silicon have recently been explored [18-22]. These schemes involve resonators [18], make use of the band-edge of silicon [19], or utilize photonic crystal structures [20],and thus typically operate within a relatively narrow range of wavelengths.

### Frequency comb generation in III-V-on-silicon photonic

dB/cm), including the mirror elements defining the laser cavity. We have explored several types of mode-locked laser geometries, including a colliding pulse Fabry-Perot type laser cavity, a colliding pulse ring-type laser cavity and a so-called anti-colliding pulse mode-locked laser. The geometry of the latter is shown in Figure 1. In this

### Frequency comb generation in III-V-on-silicon photonic

broadening. It is well known that when a short optical pulse travels through a nonlinear waveguide, several physical effects occur that lead to supercontinuum generation. The properties of such a supercontinuum mainly depends on the input pulse duration t 0, peak power P and the dispersion β 2 and nonlinear parameter γ of the waveguide (or the

### Direct observation of Kramers Kronig self-phasing in

and other nonlinear effects. Understanding the role of this and other nonlinear effects is considered key to understanding and optimizing passive beam combining systems. Our experimental laser test bed has been designed to remove wavelength tuning effects, facilitate accurate ad-justment of differential laser path lengths, and allow for

### Method for driven-dissipative problems: Keldysh-Heisenberg

context, how to understand the nonlinear effects in nonequi-librium phenomena has become an important topic. The Keldysh functional integral formalism in the coherent-state basis is a general approach to study nonequilibrium physics [21]. This technique provides a well-developed tool-box of perturbation techniques to study the nonlinear effects

### Low-Power All-Optical Switch Based on Time-Reversed Microring

Fig. 2. (a) Schematic illustration of microring laser emitting into two symmetrically coupled waveguides. (b) Time-reversed version of (a). Input waves are perfectly absorbed by absorbing microring. (c) If input in port 3 is removed, the input from port 2 is no longer perfectly absorbed. IEEE Photonics Journal All-Optical Switch Based on

### All-Optical Analog to Electromagnetically Induced

and nonlinear optical processes [4]. Similar to atomic systems, where the interference is driven by a coherent laser ﬁeld, EIT-like effects can be observed through classical means [5]. Particularly, coher-ent interference between resonant modes induces the ab-sence of absorption in coupled optical resonators. Several

### Fast Light Enhancement by Polarization Mode Coupling in a

Keywords : Optical Resonators, Laser Gyroscopes, Coherent Optical Effects, Anomalous Dispersion, Fast Light 1. INTRODUCTION Recent experiments using atomic Rb vapor as an intracavity anomalous dispersion, or fast light, medium have demonstrated that the scale factor and sensitivity of an optical cavity can be strongly enhanced as a result

### PROCEEDINGS OF SPIE

to be coherently amplified at the expense of the other. Figure 1 is a diagram of this two beam coupling situation. Let the electric field amplitude associated with beam j be + c.c. (1) The standard coupled wave equations, using the slowly varying field approximation are E.j(r,t) 106 / SPIE Vol. 613 Nonlinear Optics and Applications (1986)

### Electromagnetically induced transparency: Optics in coherent

by the coupling-laser strength i.e., very steep for low values of the drive laser coupling Thus despite the transparency the transmitted laser pulse can still experi-ence strong dispersive and nonlinear effects. It is most signiﬁcant that the refractive index passes through the vacuum value and the dispersion is steep and linear ex-

### Using backscattering and backcoupling in silicon ring

ring resonators. In this paper, we review and discuss our previous work presented in [16,31 35] and present some additional results on these two novel degrees of freedom in the design and manipulation of ring resonators, which originate from two unwanted and non-deterministic parasitic effects (i.e. backre-ﬂection and backcoupling).

### Repulsively induced photon superbunching in driven resonator

mode optical resonators under periodic boundary conditions. Each resonator of frequency ω c is coherently coupled to its two nearest neighbors. External lasers coherently drive each resonatorinphasewithamplitude Inaframerotatingatthe laser frequency ω L, the system Hamiltonian is Hˆ(M) = M j=1 [caˆ † j aˆ j +Uaˆ † j aˆ j aˆ jaˆ j

### Viewpoint - physics.aps.org

cal interferometry using a laser beam reﬂected from the resonators. The key feature of the ampliﬁer is that the distance between the resonators is small compared to the laser beam diameter. Therefore, the optical response is large if the resonators are vibrating in phase, as in this case the reﬂected signals coherently interfere; if the

### Nonlinear optical cavity dynamics : from microresonators to

VIII Contents 7.5 Conclusion 183 7.6 Acknowledgments 184 References 184 8 NonlinearEffects in Microfibers andMicrocoil Resonators 189 MuhammadI. M.AbdulKhudus,RandIsmaeel, Gilberto Brambilla,

### Tunable multimode plasmon-induced transparency with graphene

Apr 04, 2020 within an original wide absorption band in a coherently laser-driven atomic system.1,2) This eﬀect dramatically modiﬁes the dispersive properties of an otherwise opaque medium and can result in slow light phenomena and enhanced nonlinear eﬀects.3,4) Increasing attention has been paid to classical

### www.ideals.illinois.edu

NON-HERMITIAN ASPECTS OF COHERENTLY COUPLED VERTICAL CAVITY LASER ARRAYS BY ZIHE GAO DISSERTATION Submitted in partial fulfillment of the requirements for the degree of Doctor of

### Frequency and phase locking of laser cavity solitons

tons in coherently driven nonlinear optical systems, laser cavity solitons have the additional freedom of the optical phase. We explore the consequences of this addi-tional Goldstone mode and analyze experimentally and numerically frequency and phase locking of laser cavity solitons in a vertical-cavity surface-emitting laser with

### Random-Defect Laser: Manipulating Lossy Two-Level Systems to

[6 8]. Additionally, when resonators have been coupled to superconducting [9,10] or semiconducting [11] qubits, effects such as artificial atom lasing [12 14] and arbitrary photon state preparation [9,15] can be demonstrated. However, the development of superconducting qubits and detectors has been hindered by atomic tunneling systems (TSs

### LIST OF POSTER PRESENTATION ABSTRACTS

Dynamics of phonon coupled NEMS Jose MIALICHI Resonance Modes in InAs/InGaA1As/InP quantum dot microdisk resonators Sunita NEGI Molecular motor based on a double-walled carbon nanotube: A molecular dynamics study Hajime OKAMOTO Detuning dependence of the nonlinear resonance in coupled nanomechanical oscillators Hossein PAKDAST

### Observations of temporal group delays in slow-light multiple

coupled optical resonators in an originally nontransmitting background with transparency linewidths of gigahertz or more, signiﬁcantly broader than the narrow 100 kHz or less linewidths in atomic systems. These dispersive slow-light effects9,10 were recently examined experimentally in two coupled whispering-gallery mode resonators,11

### Antiresonances and Ultrafast Resonances in a Twin Photonic

The dynamics of an array of two indentical evanescently coupled semiconductor lasers is governed by the following coupled single-mode rate equations for the amplitude of the normalized electric ﬁelds X i, the phase difference θ between the ﬁelds and the normalized excess carrier density Z i of each semiconductor laser: X˙ 1 = X 1Z 1 − X

### Fast-light enhancement of an optical cavity by polarization

factor on temperature and increases signal-to-noise ratio by reducing absorption and nonlinear effects. The use of a single cavity results in common mode rejection of the noise and drift that would be present in a system of two coupled cavities. We show that the scale-factor-to-mode-width ratio is increased above unity for this

### Repulsively induced photon superbunching in driven resonator

Jul 28, 2017 mode optical resonators under periodic boundary conditions. Each resonator of frequency ω c is coherently coupled to its two nearest neighbors. External lasers coherently drive each resonatorinphasewithamplitude Inaframerotatingatthe laser frequency ω L,thesystemHamiltonianis Hˆ(M) =!M j=1 [# caˆ † j aˆ j +Uaˆ † j aˆ † j aˆ jaˆ

### Complex quantum state generation and coherent control based

Fig. 1. Quantum frequency comb generation. An excitation field is coupled to the integrated nonlinear micro-cavity and is made, through filtering, to excite only a single resonance. Spontaneous four-wave mixing mediates the annihilation of two excitation field photons and the generation of a daughter

### Nonlinear Dynamics of Nanosystems

resonators at Caltech and Cornell. Our studies to date have focused on the weakly nonlinear regime where we have looked at (1) The response of 1-dimensional arrays of coupled oscillators to parametric excitation; and (2) The synchronization of coupled mechanical resonators with a distribution of frequencies.

### Coherent addition of spatially incoherent light beams

19. A. E. Siegman, New developments in laser resonators, Optical Resonators: Proc. SPIE 1224, 2 14 (1990). 1. Introduction Intra-cavity coherent addition of laser beams was originally suggested during the 1960 s, with the introduction of the Michelson-Vernier type resonator [1]. Since then various techniques for

### Coupling between exciton‑polariton corner modes through edge

coupled exciton-polariton micropillars arranged in a square lattice. Exciton-polaritons are hybrid light matter quasi-particles that arise from the strong coupling of quantum well excitons and microcavity photons. They are well known for a variety of nonlinear effects, typically studied in planar microcavities [47,48]. Several experiments were

### Electro-optical frequency division and stable microwave synthesis

laser signals share the same fiber optical path, thereby suppressing path length variation effects. The laser signals are coupled to the optical divider section using a circulator. In order to increase the comb bandwidth and thereby also the division factor, two phase modulators with low V. π. ∼ 3.9V (at 12 GHz)

### Nonlinear Optics Boyd Solution Manual

nonlinear optics in quantum confined structures. Chapter 9 reviews the field of nonlinear laser spectroscopy, with emphasis on advances made during the 1980s. Finally, Chapter 10 reviews the field of nonlinear optical dynamics by considering nonlinear optical systems that exhibit temporal, spatial, or spatio-temporal instabilities.

### Tunable phonon-cavity coupling in graphene membranes

the substrate-coupled case nor in standard optomechanical systems. We have fabricated circular graphene drums with a diameter d ranging from 5 20μm; we report measurements of two such drums Device 1 (d=8μm) and Device 2 (d=20μm) although the effects reported have been observed across a wide number of samples.