An improved approximation to the microstrip line capacitance

A new empirical formula is presented for the normalised capacitance of microstrip lines. The formula uses a single equation to represent the microstrip line capacitance over the useful range of the aspect ratio. The maximum error of the new formula is contained within 0.8 percent and the relative root-mean-square error is contained within 0.55 percent. The new formula can be easily implemented in computeraided design and analysis as well as in hand calculations using pocket calculators.     

Analytic model of parasitic capacitance attenuation in CMOS deviceswith hyperthin oxides

The parasitic accumulation capacitance attenuation in MOS structures with hyper-thin oxides has been modelled using a distributed RC network. The simple analytic model is in excellent agreement with a two-dimensional numerical simulation and experimental data     

Free space mode approximation of radiation modes for weakly guidingplanar optical waveguides

The radiation modes of weakly guiding planar optical waveguides have been approximated and simplified as free space modes. The power spectrum of radiation modes has been numerically compared with that of free space modes. Except a very small angle (the angle between radiation direction and the waveguide walls), the approximation is accurate. Applying this approximation for radiation modes to the radiation loss calculation caused by random wall imperfections of a slab waveguide and a grating-assisted directional coupler, we have obtained very simple formulas and hence saved computation time. Our calculated results are close to those using exact radiation modes. Accuracy and limits by using this method have been discussed, Comparisons with other methods have also been made     

A modified finite-element method for dielectric waveguides using anasymptotically correct approximation on infinite elements

A modified finite-element method for the propagation analysis of such dielectric waveguides as optical fibers and integrated optical waveguides is presented. Possible applications include nondissipative structures of arbitrary anisotropic media with, in some cases, inhomogeneous exterior regions. The method is based on the full vectorial finite-element formulation, which is known to be without spurious solutions. With this formulation all appropriate boundary and interelement conditions on both tangential and normal components are a priori satisfied. For the unbounded, exterior region a novel type of asymptotically correct approximation on infinite elements is proposed that simultaneously, for each mode and frequency, locally adapts the rate of radial decay to the transversal wavenumbers. The linearity of the original finite-element method has been retained by using β/k₀ as a parameter, which results in a sparse generalized eigenvalue problem. Numerical examples including both optical fibers and integrated optical waveguides, isotropic as well as anisotropic, have been analyzed to confirm the validity of the method. The observed correspondence with analytical solutions has been excellent. For some examples a special near-field wavenumber has been added to preserve a high accuracy close to cutoff     

An approximation algorithm to improve capacitance matching in the design of SC filters

A critical issue in the design of switched-capacitor (SC) filters is the capacitance matching, because the filter coefficients depend on capacitance ratios. The most successful design method to achieve an accurate capacitance matching employs a parallel arrangement of identical unit capacitors to implement each filter capacitor. However, this procedure can be directly applied only if the filter coefficients can be written as rational numbers, since each capacitor is implemented as an integer number of unit capacitors in parallel. This paper presents a systematic procedure, with low computational effort, to approximate the filter coefficients by integer ratios causing acceptable errors in the filter frequency response, whereas keeping the total number of unit capacitors small, in order to save die area. This procedure was applied in the design of a sixth-order SC band-pass filter, which has been fabricated in a 0.35 μm CMOS technology. The fabricated filter occupies an area of 0.913 mm², exhibits low sensitivity to fabrication process deviations and has an output dynamic range of 79.2 dB.     

Beam propagation analysis for tapered waveguides: taking account ofthe curved phase-front effect in paraxial approximation

A novel equivalent waveguide theory based on the conformal mapping method is employed to investigate the tapered waveguide with curved phase fronts. By using the theory, the curved phase fronts of a tapered waveguide would be transformed into the planar ones of its equivalent straight-liked structure. Therefore, the paraxial beam propagation method can be used to analyze the equivalent structures of tapered waveguides (even for wide-angle tapers). Two kinds of popular tapered waveguides, including the cross-sectional dimension tapering and the constant V-number tapering, are used to analyze by our combination of conformal mapping method and beam propagation method (BPM)     

Analytic approximation of the jitter incurred by CBR traffics in IP networks

In this paper, an analytic approximation is derived for the end-to-end delay-jitter incurred by a periodic traffic with constant packet size. The single node case is considered first. It is assumed that the periodic traffic is multiplexed with a background packet stream under the FCFS service discipline. The processes governing the packet arrivals and the packet sizes of the background traffic are assumed to be general renewal processes. A very simple analytical approximation is derived and its accuracy is assessed by means of event-driven simulations. This approximation is then extended to the multiple node case yielding a simple analytical approximation of the end-to-end jitter. This approximation is shown to be fairly accurate in the light to moderate traffic conditions typically encountered in IP core networks.     

Analytic determination of the capacitance matrix of planar orcylindrical multiconductor lines on multilayered substrates

An exact analytical expression for the Maxwell capacitance matrix of a multilayer, multistrip planar or cylindrical line is derived by solving the dual series equation system of the problem by means of a Volterra boundary-value problem. The solution is expressed in terms of some infinite matrices with very good convergence properties. Numerical examples show that the method yields accurate results and is also computationally effective for lines having a large number of conductors     

Microstrip open-end and gap discontinuities in asubstrate-superstrate structure

The analysis and modeling of microstrip open-end and gap discontinuities in a substrate-superstrate structure using the numerical solution of integral equations is presented. Good accuracy is achieved by adopting semi-infinite subdomain mode expansion functions, with a transverse coordinate dependence obtained from a two-dimensional finite-line analysis. A parametric study of the material layer effects of radiation and surface wave losses and the fringing fields at the discontinuities is performed     

Spinor formalism for waveguides

The authors first prove that there exists a close relationship between the spinor fields and the electromagnetic transverse fields TE, TM.Then the spinor formalism is applied to the waveguide theory and explicit formulae are given for waveguides with rectangular or circular cross section. An interesting feature of the spinor formalism is to require only two components.     

Inductor winding capacitance cancellation using mutual capacitance concept for noise reduction application

In this paper, the properties of mutual capacitance between two capacitors are first discussed. It is found that the effects of mutual capacitance can be represented by two positive or negative capacitors across the two capacitors. These two equivalent capacitors can be used to cancel the parasitic capacitance of inductors. Because the mutual capacitance can be emulated using two small capacitors, the proposed method can easily be implemented in practical components. The prototypes are then built and the cancellation is verified using a network analyzer. Further EMI measurements in a practical power circuit prove that there is a significant improvement in the inductor's filtering performance.     

Matrix analysis of discontinuities in nonreciprocal waveguides: analytical description for magnetooptical slab waveguides

A new analytical formalism to study the effect of discontinuities in a nonreciprocal waveguide has been developed. The analysis is based on 1) the general orthogonality relation obtained from the reciprocity theorem, 2) the modal expansion of the transverse electromagnetic fields within the waveguide, and 3) the continuity of the tangential components of such electromagnetic fields at both sides of the discontinuity. The formalism is presented in a matrix form, which allows the treatment of several discontinuities as a simple summation and product of coupling and propagation matrices. The matrix formalism is developed for magnetooptic waveguides in the three different orientations of the magnetization, and, within this context, two practical applications of magnetooptic isolators are studied.     

A multilevel inverter system for an induction motor with open-end windings

In this paper, a multilevel inverter system for an open-end winding induction motor drive is described. Multilevel inversion is achieved by feeding an open-end winding induction motor with two two-level inverters in cascade (equivalent to a three-level inverter) from one end and a single two-level inverter from the other end of the motor. The combined inverter system with open-end winding induction motor produces voltage space-vector locations identical to a six-level inverter. A total of 512 space-vector combinations are available in the proposed scheme, distributed over 91 space-vector locations. The proposed inverter drive scheme is capable of producing a multilevel pulsewidth-modulation (PWM) waveform for the phase voltage ranging from a two-level waveform to a six-level waveform depending on the modulation range. A space-vector PWM scheme for the proposed drive is implemented using a 1.5-kW induction motor with open-end winding structure.     

TEM waveguides for EMC measurements

An overview of TEM waveguide electromagnetic compatibility (EMC) test facilities applicable to radiated emission and immunity measurements is given. Measurements of the field homogeneity in two TEM waveguides of different style are discussed. A statistical weighting of the measured electrical field is used to compare the results with standards requirements     

Filter synthesis for coupled waveguides

The synthesis of realistic coupled waveguide filters is considered. The emphasis is on the synthesis of physical devices, rather than on the approximate coupled-mode representations. For this purpose, variational optimization is combined with the normal-mode analysis of interacting waveguides. Physical effects such as the change in coupling strength with waveguide or material dispersion are naturally taken into account. The beam propagation method (BPM) is used to verify the effectiveness of the designs and thus lends a measure of confidence of the applicability of the method to realistic devices     

Si-micromachined coplanar waveguides for use in high-frequencycircuits

This paper describes the development and characterization of a new class of Si-micromachined lines and circuit components for operation between 2-110 GHz. In these lines, which are a finite-ground coplanar-waveguide (FGC) type, Si micromachining is used to remove the dielectric material from the aperture regions in an effort to reduce dispersion and minimize propagation loss. Measured results have shown a considerable loss reduction to levels that compare favorably with those of membrane lines and rectangular waveguides. Micromachined FGC lines have been used to develop V- and W-band bandpass filters. The W-band micromachined FGC filter has shown a 0.8-dB improvement in insertion loss at 94 GHz over a conventional FGC line. This approach offers an excellent alternative to the membrane technology, exhibiting very low loss, no dispersion, and mode-free operation without using membranes to support the interconnect structure     

Loss calculations for antiresonant waveguides

The authors present a theoretical study of antiresonant waveguides, in cylindrical and planar geometry, using leaky mode solutions of the vector wave equation. General analytical expressions are derived to describe the attenuation coefficients of TE, TM, HE, and EH modes of multilayered leaky waveguides, taking into account material absorption. Results obtained with these expressions are compared to numerical solutions and found to be accurate when the leakage loss is low.<>     

Dielectric waveguides for millimetre-wavelength transmission

The letter describes the salient features of a parametric study of dielectric waveguides intended for millimetre-wavelength microwave transmission. The waveguide is an analogue of the monomode optical waveguide, and, if core and cladding are made from foam materials, with loss tangents of order 10?5, the HE11 mode attenuation is about 40 dB/km, and the group delay change is 0.35 ns/km over 1 GHz bandwidth centred at 40 GHz.