Coupled-mode theory of a fiber laser-amplifier

The behavior of a fiber laser-amplifier is considered, including the effects of mode coupling, radiation losses, and noise. In the linear regime, a competitive effect between mode coupling and losses is present, in the sense that mode coupling tends to equalize the gains of different modes, while radiation losses favor low-order modes. Thus, single-mode amplification and collective amplification are predominant, respectively, in the weak and strong coupling case. In the saturated regime a mode coupling effect is found that is independent of fiber imperfections and relies on the nonlinear nature of the process.     

Coupled-mode analysis for single-helix chiral fiber gratings with small core-offset

Using conventional coupled-mode theory, a set of coupled-mode equations are formulated for single-helix chiral fiber long-period gratings. A helical-core fiber is analyzed as an example. The analysis is simple in mathematical form and intuitive in physical concept. Based on the analysis, the polarization independence of mode coupling in special fiber gratings is revealed. The transmission characteristics of helical-core fibers are also simulated and discussed.     

Coupled-mode theory of the Raman effect in silicon-on-insulator waveguides

Coupled-mode theory is used to calculate Raman gain and spontaneous efficiency in silicon waveguides with cross-sectional areas ranging from 0.16 to 16 microm2. We find a monotonic increase in the Raman gain as the waveguide cross section decreases for the range of dimensions considered. It is also found that mode coupling between the Stokes modes is insignificant, and thus polarization multiplexing is possible. The results also demonstrate that for submicrometer waveguide dimensions the Einstein relation between spontaneous efficiency and stimulated gain no longer holds.     

Coupled-mode analysis for linear fiber Bragg grating made of metamaterial

We derive the coupled-mode equations for a metamaterial fiber Bragg gratings (FBGs). The coupled-mode theory describing wave propagation in periodic structures such as FBG is generalized for studying the transmission and reflection of electromagnetic waves through a FBG containing metamaterial layers. This approach shows that the band gap becomes broader in comparison with a conventional FBG. It is observed that the central frequency of the band gap has a shift in regard of changing metamaterial thickness. We verify this investigation through attaining the transmission and reflection spectra of a conventional FBG while we are setting related parameters. Furthermore, this proposed structure can be applied as a tunable filter.     

Coupled-mode theory of Bragg diffraction in the presence of multiple internal reflections

In acoustooptic and some crystalline holographic recording materials, the Bragg diffraction efficiency can be strongly affected by multiple internal optical reflections. The coupled-wave theory of this effect is given in this paper.     

Coupled-mode analysis of periodic dielectric waveguides

The coupled-mode formalism is used to describe the behavior of a corrugated dielectric waveguide. Explicit expressions for the dispersion near the Bragg regime are given. These are compared with the results of an “exact” analysis.     

Soft apertures for reducing damage in high-power laser-amplifier systems

Soft apertures have been constructed for tailoring the spatial profile of a light beam to minimize harmful diffraction effects that lead to self-focusing and consequent damage while still enabling substantial energy extraction from amplifiers.     

Coupled-mode solutions in generalized ocean environments

This paper presents the application of the differential equation approach to solving the second-order coupled-mode equations in inhomogeneous ocean environments. The model incorporates sound velocity profile points to construct depth-dependent, piecewise linear, ocean and bottom environments along a range grid. Modal solutions are evaluated in terms of Airy functions. The formalism to evaluate analytically the mode-coupling coefficients is presented. Comparisons to conventional expressions of the coefficients are made. The integro-differential form of the coupled equations is solved using an approach developed in nuclear theory that incorporates the Lanczos method [Knobles, J. Acoust. Soc. Am. 96, 1741-1747 (1994)]. Demonstration of the practicality of this approach is made by applying the results in actual calculations with realistic ocean environments. The formalism to evaluate analytically the mode-coupling coefficients is presented. Several benchmark examples were examined in order to validate the model and are discussed, including propagation over a hill, benchmark wedge problems, and a range-varying sound speed profile benchmark. The importance of this model is also demonstrated by the physical insight gained in having a coupled-mode approach to solving range-dependent problems.     

太赫兹金属线波导耦合模理论研究(英文)

基于耦合模假设,研究了描述两太赫兹金属线波导之间耦合特性的耦合模理论.通过采用与光波导耦合模理论等价的近似,研究得到了耦合方程和耦合系数表达式.进而,研究得到了两个相同金属线波导的耦合方程解及耦合特性.所提出的理论对于描述两金属线波导之间的能量传递具有重要的意义.     

The Coupled-mode Theory of Grating-assisted Parallel Optical Fiber Cores

A new coupled-mode formulation is developed for grating-assisted parallel optical fiber cores. The theory is derived from the scalar wave equation by perturbation method. The diffraction caused by grating and coupler in the grating region are both considered. Based on the theory, various experimental phenomena in grating-assisted parallel optical fiber cores can be simulated accurately.     

The Coupled-mode Theory of Grating-assisted Parallel Optical Fiber Cores

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Localization theory of distributed fiber vibration sensor

Based on Sagnac interferometer, a simple distributed optical fiber sensing system with sub-loop is presented to monitor the vibration applied on the sensing fiber. By introducing a sub-loop, three output beams of interference with different delay time are gotten. Location of the vibration is analyzed through mathematical-physical equations. The vibration frequency, amplitude, and location are theoretically simulated. The results agree well with the previous experiments.     

Nonlinear theory of polarization-mode dispersion for fiber solitons

We consider the evolution of optical solitons inside a nonlinear dispersive fiber with random birefringence, causing polarization-mode dispersion. We convert the pair of coupled nonlinear Schr?dinger equations satisfied by the orthogonally polarized components into a Fokker-Planck equation using the collective-variable approach. We solve this equation and derive expressions for the probability density functions associated with the differential group delay and the pulse width in the limit of large propagation distances.     

长周期光纤光栅耦合模理论分析

长周期光纤光栅作为透射型光无源器件,以其在通信和传感领域具有广阔应用前景而引起人们的关注。要得到满足性能要求的光纤光栅,对其透射谱的分析是基础。通过耦合模方程确定了基模和一阶各次包层模之间的耦合常数。在设定的光纤光栅参数条件下,通过Matlab进行模拟得到了最终需要的长周期光纤光栅透射谱,并由此得出：长周期光纤光栅谐振波长出现的位置主要由光栅的周期决定,损耗大小可以通过调节光栅长度和折射率来实现。     

Coupled-mode approach to surface plasmon polaritons in nonlinear periodic structures

We present a coupled-mode theory describing light propagation in an array of nonlinear plasmonic waveguides. Our model predicts a two-band dependence of the propagation constant versus transverse quasi-momentum and existence of discrete and gap plasmon solitons.     

Coupled-mode analysis of fiber-optic add drop filters for dense wavelength-division multiplexing

We present a coupled-mode theory of fiber-optic add-drop filters, which involve directional coupling between two fibers combined with fiber Bragg gratings defined inside the coupling region. The analysis self-consistently accounts for both the directional and the reflection coupling, and the propagation constants and structure of the supermodes of the combined structure are derived. We present a detailed analysis of a filter design based on identical fibers. The calculated device parameters satisfy the requirements for dense wavelength-division multiplexing applications.     

用光学信息理论分析微弯光纤传感器的性能

通过把光学信息理论应用于微弯光纤传感器,用信息量评估测量性能,提出了一种优化系统性能和参数设计的光学信息理论。通过理论推导、直观评价和实验设计,证明了这一思想的正确性和可行性。     

光子晶体理论应用于取样光纤光栅的研究

将取样光纤光栅近似为引入多个有规律的大尺寸缺陷的一维二元光子晶体,运用光子晶体传输矩阵理论分析了其长度L、周期LA、折射率调制量δneff和采样率p等参量对其反射谱的影响规律,并将所得结果与用取样光纤光栅传输矩阵法计算所得结果进行了比较,得出了用光子晶体理论分析与用传统的模耦合理论分析相吻合的特性。在分析取样光纤光栅的其它性质以及将其应用于实际时都可借鉴此理论,以达到工程实际应用的最佳效果。     

长周期光纤光栅:原理、制备与应用

较全面介绍了长周期光纤光栅。对比Bragg光纤光栅说明了长周期光纤光栅的特点。对其耦合机理进行了分析 ,阐明了波长选择损耗特性。介绍了长周期光纤光栅的制备方法 ,大致分之为基于非形变的制备方法和基于形变的制备方法。详细阐述其在通信、传感领域的应用 ,尤其是新型应用 :带通滤波、光上下路复用、光纤光源、偏振器件、新型传感等。并针对长周期光纤光栅对温度、应力、外部折射率敏感的特性 ,探讨了调谐性以及温度稳定性的方案