半导体量子阱激光器计算机辅助分析

介绍了一种基于Visual C 的量子阱激光器计算机辅助分析工具，采用分层迭代逼近法，提供了单量子阱激光器的计算模型。可以对突变折射率波导进行模式分析，也可以对任意折射率分布的渐变折射率波导进行精确分析。     

多量子阱光波导传输特性分析

本文给出了普适于任意阱数的方波折射率分布的多量子阶光波导的模场分布函数和特征方程，并以ＧａＡｓ／ＡｌＧａＡｓ多量子阱光波导为例分析讨论了波导结构参量及折射率分布对其传输特性的影响．     

多量子阱波导场的等效折射率近似分析

当多量子阱周期与芯区厚度之比趋于零时,利用转移矩阵技术,证明了任意折射率分布多量子阱波导的场分布与其等效折射率波导的场分布近似相等,为利用等效折射率方法分析多量子阱波导特性充实了理论基础,文中的数值实例表明了理论的正确性。     

用有限元法分析任意截面槽波导

用有限元法分析了任意形状槽波导。在槽波导开放端口引进了吸收边界条件。对矩形槽波导、Ｖ形槽波导、圆形槽波导的分析表明，计算结果与实验值以及其它方法得到的结果有较好的吻合。     

分析Ti：LiNbO3沟道波导的变分—有限差分法

本文讨论了一种分析沟道波导的数值分析法──变分-有限差分法,它适合于任意折射率分布和宽度-深度比的r值。文中求解了折射率分布为高斯-余误差分布的沟道波导的模式色散特性及其场分布.     

折射率缓变波导层分别限制单量子阱半导体激光器的模式分析

本文提出一种能够精确分析波导层具有任意折射率分布而且收敛性好的分层逼近迭代法,研究了折射率缓变波导层分别限制单量子阱(GRIN-SCH-SQW)中波导层的折射率分布对近场分布,近场束宽,光限制因子,远场分布,远场角,激射阈值的作用,并与延伸抛物型近似解和折射率突变波导层分别限制单量子阱半导体激光器进行较全面的比较.结果表明:延伸抛物型近似不宜普遍采用;采用适当的缓变波导层可进一步降低阈值(例如采用抛物型或线性分布),或进一步减小远场角(例如采用倒抛物型分布).     

用变分—有限差分法分析Ti：LiNbO3沟道波导

本文提出一种较简单、精确分析沟道波导的变分－有限差分法。它是基于变分法和有限差分法的结合，适用于任意折射率分布和ｒ值。文中求解了折射率分布为高斯－余误差分布的Ｔｉ：ＬｉＮｂＯ３波导的模式色散特性及其场分布。     

非理想截面脊形介质光波导导波模式的研究

提出了一种求解任意截面形状脊形光波导的方法，先利用有效折射率的概念解出某种截面形状脊形光波导的等效折射率，再利用转移矩阵的理论求解出波导的模式色散方程。     

GeSi／Si多量子阱光波模特性分析的吸收层结构设计

根据普适于任意阱数的方波折射率分布的多量子阱光波导的模场分布函数和模特征方程，分析了在以ＧｅＳｉ／Ｓｉ多量子阱为波导芯、Ｓｉ为覆盖层的光波导结构中，Ｇｅ含量、周期数、占空度、厚度、折射率分布等参量对光波导传播常数的影响，并结合吸收特点对ＭＱＷ吸收层结构进行优化设计 。     

二次多项折射率光波导的近似本征模场

对任意折射率分布的非对称平面光波导,用W、K、B、方法推导了近似本征模场表示式和模方程。对二次多项式折射率平面光波导导出了模式场和模方程的显式表示。此近似解较作者以前给出的用抛物柱形函数表示的精确解简单,便于计算.数值计算表     

The Numerical Solution of Rectangular Waveguide Junctions and Discontinuities of Arbitrary Cross Section

A method is described of calculating automatically the performance of junctions of rectangular waveguides including conducting cylinders of arbitrary shape. The only restriction is that the overall problem should he effectively two-dimensional, i.e., the structure be uniform in some cross section. The one basic approximation made (which could be removed) is shown to give useful results for the devices tested, viz., for various shaped irises (inductive and capacitive) and the 4-port H-plane junction.     

Numerical Analysis of the Rectangular Dielectric Waveguide and its Modifications

Dielectric waveguides suitable for millimeter and submillimeter wave integrated circuits are analyzed by applying the generalized telegraphist's equations. The dielectric waveguides treated in this paper are the rectangular dielectric image line, the cladded rectangular dielectric image line, the insulated image guide, and the strip dielectric guide. Numerical results of the propagation constant, the power distribution, and the field configuration in these dielectric waveguides are presented. Values for the propagation constants obtained by our method are compared with other theoretical results. Although this work is based on a closed waveguide model, it may be applicable to wide classes of dielectric waveguides with arbitrary dielectric profiles and cross sections.     

Finite-element solution of anisotropic waveguides with arbitrary tensor permittivity

An improved vector finite-element method has been used for the solution of general anisotropic waveguide problems. This method is formulated in terms of all three components of the magnetic field and is valid for arbitrary tensor permittivity. In the improved finite-element analysis, the spurious nonphysical solutions do not appear when the effective refractive index is larger than 1. Therefore, this method is very useful for the analysis of the surface-wave modes of optical waveguides. To show the validity and usefulness of the improved finite-element method, computed results are illustrated for anisotropic rectangular waveguides with optic axis in any orientation and gyrotropic rectangular waveguides.     

Time-dependent dyadic Green's functions for rectangular andcircular waveguides

Closed-form expressions for the time-dependent dyadic Green's functions of electric and magnetic types for rectangular and circular waveguides are derived from the dyadic Maxwell equations in the time domain. These functions can be used to obtain the time-dependent electric and magnetic fields propagating in those guides due to any arbitrary time-dependent current distribution inside the guide. Stationary vector wave functions are introduced that separate the space-dependent parts from the time-dependent parts of the Green's functions. Comparison of the results for the rectangular and circular guides reveals that the time-dependent parts are identical. Thus the results can be easily extended to some other cylindrical pipes such as elliptical waveguides and also to coaxial cables     

Differential-Transfer-Matrix Based on Airy's Functions in Analysis of Planar Optical Structures With Arbitrary Index Profiles

A novel analytical method for solution of planar optical structure with arbitrary refractive index profile is proposed. This new method is founded on differential-transfer-matrices, whose field solutions are based on Airy's trial functions. In contrast to conventional Wentzel, Kramers, and Brillouin (WKB) solutions, which diverge around the turning points, this approach can be successfully used for exact calculation of various functions, including eigenvalues of optical waveguides with arbitrary index profiles, and complex reflection and transmission coefficients, even at the presence of turning points. The method is rigorous and can be applied for both major polarizations.     

A Method Extending the Boundary Condition for Analyzing Guided Modes of Dielectric Waveguides of Arbitrary Cross-Sectional Shape

A method based on the extended boundary condition method is presented for analyzing guided modes of dielectric waveguides of arbitrary cross-sectional shape. Numerical integration needed in this method is only over the boundary periphery line of the waveguide. Nevertheless, it is applicable to the waveguides with any refractive index difference between core and cladding ranging from negligibly small to considerably large difference, as well as to certain types of waveguide with inhomogeneous core. Approximate formulas for the case of weakly guiding are also derivable from the general basic set of equations presented. Numerical examples are given to verify the usefulness and accuracy of this method.     

Boundary elements and analytic expansions applied to H-planewaveguide junctions

We propose a method to calculate field distribution and S-parameters in a planar n-port junction with rectangular waveguides. We use boundary elements on metallic walls, combined with modal expansion in waveguides and analytic representations for the field in dielectric samples or ferrites. Our approach uses fewer nodal points than either the finite-element or the boundary-element method. It is applicable to an H-plane junction with quite arbitrary geometry. The junction may contain several homogeneous or piecewise homogeneous circular cylindrical dielectric samples or ferrites, or samples with more general shape if a simple analyticity condition is met     

Computer-aided design of E-plane waveguide passivecomponents

The newly developed numerical analysis method for the inductive discontinuities in rectangular waveguides is presented. It can be used to analyze the scattering properties of E-plane uniform conductor-dielectric inserts in rectangular waveguides. These inserts are of arbitrary cross section and number. The calculation accuracy and speed are improved by a combined analytical-numerical approach. Some practical applications are given demonstrating its engineering usefulness     

Arbitrary footprint patterns from planar arrays with complexexcitations

Elliott and Stern's (1990) method for synthesising shaped patterns using a circular or elliptical planar aperture or array with a complex excitation distribution is generalised to allow the synthesis of footprints of arbitrary shape. The use of complex excitations allows a given footprint to be synthesised using a smaller array than with real excitations. The procedure is illustrated by synthesising a square footprint using an array with a rectangular grid     

A Semianalytical Technique for Leaky-Mode Loss Calculation in Hollow Dielectric Waveguides With Arbitrary Cross Sections

We present an approximate semianalytical technique for the calculation of the loss coefficient of leaky modes in 3-D hollow dielectric waveguides having an arbitrary cross section. The hollow waveguides are assumed to have an axis of symmetry and to have a cladding with a higher refractive index than the core. An expression for the modal loss coefficient is derived using a ray-optics approach with paraxial approximation. For the special cases of specific cross sections with known solutions, our technique gives results that are identical to the available analytical solutions. The technique is then applied on practical waveguide geometries, allowing the calculation of polarization- and wavelength-dependent losses. Full numerical alternatives to the technique involve time-consuming simulations and, sometimes, difficulty in incorporating a suitable boundary condition to obtain leaky-mode solutions.