Convergence criteria for the Hartree iterative solution of the general self-consistent field equations

The traditional Hartree method of solving the Hartree-Fock equations, by repeated diagonalization and recalculation of the single-particle Hamiltonian, is expressed in terms of repeated unitary transformations and shown to be applicable to the general SCF (self-consistent field) equations. The necessary and sufficient conditions for convergence to a unique local SCF solution are derived and it is shown that only a small class of solutions are obtainable by this method.     

New explicit group iterative methods in the solution of two dimensional hyperbolic equations

In this paper, we present the development of new explicit group relaxation methods which solve the two dimensional second order hyperbolic telegraph equation subject to specific initial and Dirichlet boundary conditions. The explicit group methods use small fixed group formulations derived from a combination of the rotated five-point finite difference approximation together with the centered five-point centered difference approximation on different grid spacings. The resulting schemes involve three levels finite difference approximations with second order accuracies. Analyses are presented to confirm the unconditional stability of the difference schemes. Numerical experimentations are also conducted to compare the new methods with some existing schemes.     

Ka波段波导滤波器的设计

采用高精度三维电磁场分析软件对电感膜片建模,并与等效电路相结合设计波导带通滤波器。实验结果表明,样品测试结果与仿真结果基本吻合,该方法不仅适合波导滤波器设计,也适合其它谐振器耦合结构滤波器的设计。     

Convergence of the iterative solution of loop equations in planar QCD2

A numerical algorithm recently introduced to solve the loop equations in lattice gauge theory is tested on a simple model with a phase transition: the planar limit of QCD in two dimensions.We show that the algorithm reproduces the correct known results in both strong and weak coupling phases, provided that a relaxation parameteràla Gauss-Seidel is introduced in the iteration process. We also give some analytical explanation of the applicability of the method.     

Submicrometer fiber-optic Fabry-Perot interferometer formed by use of the Langmuir-Blodgett technique

The fabrication of an optical cavity at the distal end of an optical fiber has been achieved by Langmuir-Blodgett (LB) deposition of tricosanoic acid. This technique allows nanometer-scale control over the cavity length to a total thickness of ~0.5 microm . The cavity has been shown to act interferometrically and, thus, has potential sensing applications.     

Simulation and design of a bandpass filter on metasubstrates

This work presents an analysis of the microstrip bandpass filter on metamaterial substrates. The filter is composed of two ring resonators with quarter-wavelength side-coupled sections. The filter input is provided, as well as the output port, using a quarter-wavelength side-coupled microstrip line section. Simulations by finite element method have been carried out to verify the effect of the metamaterial substrate properties on the filter performance, and to compare these results to those obtained considering isotropic substrate.     

Approximate bandpass and frequency response models of the difference of Gaussian filter

The Difference of Gaussian (DOG) filter is widely used in optics and image processing as, among other things, an edge detection and correlation filter. It has important biological applications and appears to be part of the mammalian vision system. In this paper we analyse the filter and provide details of the full width half maximum, bandwidth and frequency response in order to aid the full characterisation of its performance.     

Synthesis of bandpass grid filter for linear polarized millimeter wave

A method based on equivalent circuit and transmission line model is proposed to design narrow bandpass grid filters in short millimeter wave. Several bandpass filters with 2, 3 or 4 element inductive wire grids in the 70GHz region have been designed with Butterworth or Chebyshev characteristic for linear polarized wave. The agreement between measurement and design theory is good and this proves the rationality and practicality of our design theory.     

An iterative multiscale finite volume algorithm converging to the exact solution

The multiscale finite volume (MsFV) method has been developed to efficiently solve large heterogeneous problems (elliptic or parabolic); it is usually employed for pressure equations and delivers conservative flux fields to be used in transport problems. The method essentially relies on the hypothesis that the (fine-scale) problem can be reasonably described by a set of local solutions coupled by a conservative global (coarse-scale) problem. In most cases, the boundary conditions assigned for the local problems are satisfactory and the approximate conservative fluxes provided by the method are accurate. In numerically challenging cases, however, a more accurate localization is required to obtain a good approximation of the fine-scale solution. In this paper we develop a procedure to iteratively improve the boundary conditions of the local problems. The algorithm relies on the data structure of the MsFV method and employs a Krylov-subspace projection method to obtain an unconditionally stable scheme and accelerate convergence. Two variants are considered: in the first, only the MsFV operator is used; in the second, the MsFV operator is combined in a two-step method with an operator derived from the problem solved to construct the conservative flux field. The resulting iterative MsFV algorithms allow arbitrary reduction of the solution error without compromising the construction of a conservative flux field, which is guaranteed at any iteration. Since it converges to the exact solution, the method can be regarded as a linear solver. In this context, the schemes proposed here can be viewed as preconditioned versions of the Generalized Minimal Residual method (GMRES), with a very peculiar characteristic that the residual on the coarse grid is zero at any iteration (thus conservative fluxes can be obtained).     

Parasitic effect compensation of defected ground structure and its application to design of bandpass filter

Abstract

This study demonstrates the parasitic effect observed in the passband of a bandpass filter (BPF) using a defected ground structure (DGS). This parasitic effect has been compensated by employing step discontinuity in the microstrip feed line. By implementing this technique, the performance of a pseudocombline BPF of 5 GHz operating frequency and a fractional bandwidth of around 15% together with a DGS cell is improved. The filter provides less than ?1 dB insertion loss in the operating frequency and a stop band attenuation of about ?20 dB on average. When the final BPF structure is simulated, fabricated, and measured, good agreement is observed between the simulated and measured results. The BPF proposed is applicable in the wireless LAN and RADAR systems.     

An iterative solution of the rough-surface scattering problem

Abstract

An iterative solution to the problem of scattering from a one-dimensional rough surface is obtained for the Dirichlet boundary condition. The advantages of this method are that bounds for convergence of the solution can be established and that the solution may readily be iterated to sufficiently high order in the interaction to examine the rate at which it converges. Absolute convergence of the iterative solution is also a sufficient condition for the convergence of the operator expansion method for surfaces on which the slope is everywhere less than unity. A numerical example of scattering from an echelette grating is considered, and bounds for convergence established. It is found that for scattering from such surfaces the rate at which the iterative solution converges decreases as the surface slope is increased. Corresponding results are found for the operator expansion method.     

A new approach to solution of the maxwell equations

The decomposition method [1–5] is applied to the Maxwell equations to obtain analytic approximations.     

宽阻带抑制的高温超导带通滤波器设计

提出了一种新型加载插指电容的U型阶跃阻抗谐振器,该谐振器可用于实现高温超导带通滤波器的宽阻带抑制。利用所提出的新型谐振器结构,设计并制作了一个4节切比雪夫型高温超导带通滤波器。滤波器中心频率为1026 MHz,带宽12.6 MHz,第一谐频频率5121 MHz,第一谐频与基频的比值为4.92,阻带抑制度优于60 dB。     

红外中带滤光片的结构、带宽估算及调整

中波红外波段在航天、气象、遥感等领域有着重要的应用，为了提高信噪比，系统中经常使用高质量的红外中带滤光片。相对带宽是红外中带滤光片重要的指标，主要取决于光学薄膜的膜系结构和具体设计。首先给出双截止组合型、F-P型、多半波型等几种膜系结构，归纳了相对带宽估算公式。同时从实用性出发，对一些具体膜系结构进行了相对带宽估算和综合分析，结果表明多半波结构最为可行。针对多半波结构，提出了间隔层膜料和光学厚度的选择、采用等效膜、调整膜层折射率等相对带宽调整的方法。最后，利用上述相对带宽调整方法对红外中带滤光片进行了设计，给出了实际镀制结果，滤光片相对带宽指标满足设计要求。     

纳米线减反层的解析设计法

本文通过分析比较给出了常用二维等效介质理论解析解的适用条件并 且将有效介质理论的适用范围推广至零级衍射边界处, 并通过FDTD模拟验证了该解析方法的准确性. 这不仅解决了长期以来没有精确二维有效介质理论(2D-EMT)解析解的困境, 而且使得直接用解析公式设计和定量解释减反微结构的减反效果变得可能, 有着广泛的应用前景. 关键词： 零级衍射光栅 有效介质理论 太阳能电池减反 纳米线阵列     

Technique for referencing of fiber-optic intensity-modulated sensors by use of counterpropagating signals

We present a new all-optical fiber-referencing scheme for intensity-modulated sensors. It consists of a closed loop traversed by sensing and reference optical signals in opposite directions. With the proposed scheme the noise induced by power fluctuations of the optical source and mechanical perturbations can be greatly reduced. We experimentally demonstrate the efficiency of the scheme and discuss its use in a sensor array.     

Investigation on parameters affecting the performance of two dimensional photonic crystal based bandpass filter

A two dimensional Photonic Crystal based Bandpass Filter is designed by exploiting coupling between the quasi waveguides and the circular Photonic Crystal Ring Resonator (PCRR). The output efficiency, resonant wavelength and bandwidth of PCBPF are investigated by varying the dielectric constant of the structure. The normalized transmission spectra of circular PCRR are taken using 2D Finite Difference Time Domain method. The Photonic Band Gap is calculated by Plane Wave Expansion method. Close to 100% (Band II) output efficiency is observed over the wavelength range from 1,504 to 1,521?nm and 85% (Band I) is obtained at 1,420?nm through simulation. The full width half maximum bandwidth of these bands is 35 and 20?nm, respectively. Further, the parameters that affect the resonant wavelength, output efficiency and bandwidth of the filter such as size of the reflector, radius of the coupling rods, lattice constant, rod radius and number of rods in the structure are analyzed. The overall size of the proposed filter is 11.4?μm ×?10.2?μm, which is smaller than the filters already reported in the literature and highly desirable for Photonic Integrated Circuits.     

Wavelength dependent damage thresholds of a bandpass filter under femtosecond laser irradiation

Laser induced damage thresholds of a bandpass filter with TiO₂/SiO₂ coatings are measured, with the laser delivering wavelength tunable, high-repetition rate, and ultrashort pulses. The multiple wavelengths are selected within the transitional region between the filter passband and stopband. A method that scans the sample along the focused laser beam is employed to vary the spot size on the coating and, consequently, change the fluence. The damage is detected by both a CCD camera and by monitoring the transmitted power simultaneously. During the experiment, an increase in the filter transmission was observed prior to damage occurrence. We demonstrate that damage induced on the coating by the high repetition rate, femtosecond pulses is governed by macroscopic thermal behavior rather than by critical free electron density in the conduction band. In addition, the process of energy deposition is determined by intrinsic nature of the coating materials. Further analysis indicates that the thresholds as a function of wavelength are determined by the combination of the properties of TiO₂, interference field in the coating stack, and thermal effects. Moreover, we attribute the observed increase in the coating transmission to these thermal effects rather than ionization processes.