用latex軟件撰寫科技議論文模板

1、Latex 實(shí)用例子通過實(shí)驗(yàn)本例子可以基本掌握科技排版的方法：documentclasstwocolumnarticleusepackageamsmathrenewcommandrmdefaultptmbegindocumenttitlePhysical Model Order ReductionauthorQiang Wang and Guo-Hua Li Department of Electronic Engineering, the East University of China dateDecember 17, 2009maketitlebeginabstractThis pape

2、r presents a novelapproach for model order reduction for multilayer lossy RF embedded passives.endabstractsectionIntroductionAs the Radiofrequency modules having been designed more compact than ever before, the parasitic effects due to the tightly coupled inter-connections on the circuit layout are

3、inevitable. Therefore, an efficient method that can derive a circuit model of such circuit layout is highly desirable. A few techniques such as PEEC were developed to extract equivalent circuits from an electromagnetic model.Classic PEEC solver converts the layout into lumped RLC interconnection net

4、works, including mutual couplings. Once a circuit model is generated, any circuit solver, such as SPICE, can manage the rest of the job. Unfortunately, the numbers of nodes and elements in the circuits are excessive. Therefore, researchers have been searching for an effective measure that can reduce

5、 the model order for accelerating the analysis of the circuit model. Although exploited Krylov subspace methods and provided ways to speed up the simulation; they all lack the physical insight. In fact, they are mathematics-based MOR. Several realizable model order reduction approaches are also prop

6、osed. However, can only handle RC networks. Besides, they both concern with matching the first two or three moments of the system via Taylor's expansion. Thus, these methods can not provide a clear physical explanation to the reduced circuit either. It is worth mentioning that has showed some in

7、sight for dealing with coupled inductances, even though the complexity of the scheme itself might have already limited its practical use. The work presented in this paper is an extension to, in which a derived physically realizable lossless expressive circuit model reduction method is introduced. In

8、 this paper, a lossy model is the major concern. The passivity of the resultant circuit model by the new reduction scheme is guaranteed.sectionTheoryThe circuit model generated by traditional quasi-static PEEC model for a multi-layer circuit layout with very thin conducting strips can easily incorpo

9、rate the conducting loss, which is a major origin of the circuit loss.Since the meshes used in solving MPIE (Mixed Potential Integrated Equations of the PEEC algorithm are all in regular shapes, thus we could first evaluate their losses piecewisely and then superimpose this pre-calculated loss model

10、 to the generated circuit model to represent the conductor loss of the circuit. Therefore reasonable and time-saving approaches to calculate the loss for different meshing geometries are investigated.Since the conductor loss is generally determined by the skin depth effect at RF frequency, a coarse

11、but rapid approximation to this type of loss is to find out the skin depth and other shape factors of the mesh. Then the equivalent surface impedance can be easily calculated by $R_L = l / 2delta S$, where $l$ is the mesh length, along which the current flows, $S$ is the area of the equivalent cross

12、ing section where the current goes through, $delta$ is the skin depth:beginaligndelta=frac1sqrtsmashbpi f mu sigma, labelEqu1endalignin which $f$ is the frequency, $mu$ is the magnetic permeability, and $sigma$ is the conductivity of the metal. In addition to this, various other empirical formulas, such as those in could also be used to determine the conducting loss.Capacitor's loss is mainly due to bypassing leak-age current.Considering the basic relationship be-tween the current and the charge stored in the capacitor, its loss contribution could be computed by $G_C = sigma C / vare