Single‐mode microdisk laser with two ports for heptagonal coupled mode lasing

The correlation and power distribution of intercore crosstalk (ICXT) field components of weakly coupled multicore fibers (WC-MCFs) are important properties that determine the statistics of the ICXT and ultimately impact the performance of WC-MCF optical communication systems. Using intensive numerical simulation of the coupled mode equations describing ICXT of a single-mode WC-MCF with intracore birefringence and linear propagation, we assess the mean, correlation, and power distribution of the four ICXT field components of unmodulated polarization-coupled homogeneous and quasi-homogeneous WC-MCFs with a single interfering core in a wide range of birefringence conditions and power distribution among the field components at the interfering core input. It is shown that, for homogeneous and quasi-homogeneous WC-MCFs, zero mean uncorrelated ICXT field components with similar power levels are observed for birefringence correlation length and birefringence beat length in the ranges of 0.5m,10m and 0.1m,10m, respectively, regardless of the distribution of power between the four field components at the interfering core input.

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Coupled-mode equations for two weakly guiding single-mode fibers

Optics Letters ◽

10.1364/ol.11.000324 ◽

1986 ◽

Vol 11 (5) ◽

pp. 324 ◽

Cited By ~ 13

Author(s):

Amos Hardy ◽

Sami Shakir ◽

William Streifer

Keyword(s):

Single Mode ◽

Coupled Mode

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Nonlinear Multi-Modal Panel Flutter Oscillations at Low Supersonic Speeds

Volume 1B, Symposia: Fluid Machinery; Fluid-Structure Interaction and Flow-Induced Noise in Industrial Applications; Flow Applications in Aerospace; Flow Manipulation and Active Control: Theory, Experiments and Implementation; Multiscale Methods for Multiphase Flow; Noninvasive Measurements in Single and Multiphase Flows ◽

10.1115/fedsm2014-21659 ◽

2014 ◽

Author(s):

Vasily Vedeneev ◽

Anastasia Shishaeva ◽

Konstantin Kuznetsov ◽

Andrey Aksenov

Keyword(s):

Numerical Simulation ◽

Limit Cycle ◽

Time Domain ◽

Internal Resonance ◽

Gas Flow ◽

Single Mode ◽

Panel Flutter ◽

Limit Cycle Oscillations ◽

Plate Deformation ◽

Coupled Mode

In this paper aeroelastic instability of a plate in a gas flow is investigated by direct time-domain numerical simulation. Plate deformation and gas flow are simulated in solid and fluid codes, respectively, with direct coupling between these codes. A series of simulations under different parameters has been conducted. Three types of the plate response have been observed: stability, static divergence and flutter. Depending on Mach number, two types of flutter were detected: single mode flutter and coupled mode flutter. At M = 1.8, a good correlation between the present study and the piston theory for coupled mode flutter has been obtained. At lower M, from 1 to 1.6, single mode flutter in 1st, 2nd and higher modes has been observed. Amplitudes and frequencies of flutter limit cycle oscillations have been studied. It is shown that limit cycle oscillations can occur in form of pure one-mode oscillations, or include 1:2 internal resonance, when fluttering mode excites another mode. In the region of Mach numbers from 1.3 to 1.5, where several plate modes are simultaneously unstable, transition from periodic to quasi-chaotic flutter oscillations occurs.

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Coupled-mode theory of nonlinear propagation in multimode and single-mode fibers: envelope solitons and self-confinement

Journal of the Optical Society of America ◽

10.1364/josa.72.001136 ◽

1982 ◽

Vol 72 (9) ◽

pp. 1136 ◽

Cited By ~ 81

Author(s):

Bruno Crosignani ◽

Antonello Cutolo ◽

Paolo Di Porto

Keyword(s):

Single Mode ◽

Nonlinear Propagation ◽

Coupled Mode Theory ◽

Mode Theory ◽

Coupled Mode ◽

Envelope Solitons

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Performance Enhancement in Multicore Fiber Using Trench Assisted Technique

10.21203/rs.3.rs-366348/v1 ◽

2021 ◽

Author(s):

Salma Fatmia ◽

Manimegalai CT ◽

Sabitha Gauni ◽

K. Kalimuthu

Keyword(s):

Performance Enhancement ◽

Single Mode ◽

Design Parameters ◽

Coupled Mode Theory ◽

Coupled Mode ◽

Bending Radius ◽

Pitch Bending ◽

Multicore Fiber ◽

Core Pitch ◽

Trench Width

Abstract Analysis of crosstalk in multicore fiber using trench assisted technique. To reduce the crosstalk between the cores in the fiber the coupled mode theory and coupled power theory are adopted for crosstalk estimation and considering different design parameters such as core pitch, bending radius and wavelength to optimize the crosstalk performance. The homogeneous fiber which works under single mode operation has been considered. The study of performance by varying the trench width is also analysed. Crosstalk variation in outer cores and center core of the fiber is studied. And the study of variation of crosstalk with 5 different core radius has been done. The numerical simulation results of crosstalk behavior over bending radius, wavelength and trench width is obtained.

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Performance Enhancement of an Autoparametric Vibration Absorber Using Multiple Pendulums

10.1115/imece2000-1755 ◽

2000 ◽

Author(s):

Ashwin Vyas ◽

Anil K. Bajaj ◽

Arvind Raman

Keyword(s):

Performance Enhancement ◽

Excitation Frequency ◽

Single Mode ◽

Frequency Interval ◽

Vibration Absorbers ◽

Coupled Mode ◽

Averaged Equations ◽

Stability And Bifurcations ◽

The Stability ◽

Mode Response

Abstract This paper analyzes the dynamics of a resonantly excited single degree-of-freedom linear system coupled to an array of nonlinear autoparametric vibration absorbers (pendulums). The case of a 1:1:…:2 internal resonance between pendulums and the primary oscillator is studied. The method of averaging is used to obtain first-order approximations to the nonlinear response of the system. The stability and bifurcations of the equilibria of the averaged equations are computed. It is shown that the frequency interval of the unstable single-mode response, or the absorber bandwidth, can be enlarged substantially compared to that of a single pendulum absorber by adjusting individually the internal mistunings of the pendulums. Use of multiple pendulums is also shown to engender degenerate bifurcations as the coupled-mode response “switches” from one pendulum to the other with changing external excitation frequency. This results in a significant enhancement of the performance of autoparametric vibration absorbers.

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Non-Stationary Responses in Externally Excited Two-Degrees-of-Freedom Nonlinear Systems with 1: 2 Internal Resonance

Journal of Vibration and Control ◽

10.1177/1077546304042056 ◽

2004 ◽

Vol 10 (11) ◽

pp. 1663-1697 ◽

Cited By ~ 3

Author(s):

Anil K. Bajaj ◽

Patricia Davies ◽

Bappaditya Banerjee

Keyword(s):

Internal Resonance ◽

Degrees Of Freedom ◽

Numerical Study ◽

Excitation Frequency ◽

Primary Resonance ◽

Single Mode ◽

Two Degrees Of Freedom ◽

Analytical Technique ◽

Bifurcation Points ◽

Coupled Mode

The dynamics of two-degrees-of-freedom dynamical systems with weak quadratic nonlinearities is analyzed in the neighborhood of bifurcation points when the excitation frequency varies slowly through the region of primary resonance. The two modes of vibration are in 1: 2 subharmonic internal resonance. The slowly evolving averaged equations are numerically studied for motions initiated in the vicinity of stationary responses, and observations are made about the nature of responses of the system near the transition from single-mode to coupled-mode solutions (pitchfork points), and near jump and Hopf bifurcations in the coupled-mode solutions. An analytical technique based on the dynamic bifurcation theory is developed to explain the numerical observations for passage through the bifurcations. A numerical study is carried out to determine the effects of system parameters on the dynamics near the pitchfork bifurcation points and results are compared with analytical and numerical descriptions of dynamics.

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