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SAW filter with AIN on diamond

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金刚石与磨料磨具工程 2008年第S1期28卷 109-114,118页

作者： Song Jen-hao Sung James C. chang hsiao-kuo Kan Ming-chi National Cheng-Kung University KINIK Company 54Chung-San Rd.Ying-Kuo National Taiwan University National Taipei University of Technology KINIK Company 64Chung-San Rd.Ying-Kuo

Diamond surface acoustic wave(SAW) has been used to boost the frequency of thin film filters made of piezoelectric *** designs have been tested and with significant results,in particular,AlN on diamond(AlNoD) as the interface for transmitting Rayleigh wave was studied extensively .However,in all cases,nano crystalline or microcrystalline AlN coatings were deposited,typically by sputtering or CVD,on polycrystalline diamond *** diamond film itself may contain nano or micro grains that are deposited by *** presence of extensive grain boundaries in AlN can attenuate rapidly the propagation of Rayleigh ***,the bonding between loose atomic packing of AlN and tight lattice of diamond is weak so much of the mechanical energy is dissipated as *** fact,the energy loss is much higher than energy transmitted during the resonating *** this research,we attempted to improve the matching of atoms at the interface of AlNoD by doping AlN lattice with boron *** shrinking of the lattice may allow more atoms are aligned at the ***,a method of coupling single crystal AlN on single crystal diamond is *** a coupling can maximize the signal-to-noise ratio of the resonating AlNoD at the same time minimize the insertion loss of the SAW filter.

关键词： SAW filter diamond film AIN boron doping

The fabrication of ideal diamond disk(IDD)by casting diamond film on silicon wafer

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金刚石与磨料磨具工程 2008年第S1期28卷 130-133,142页

作者： Chen Ying-Tung Sung James C. Kan Ming-Chi chang hsiao-kuo Sung Michael Department of Mechatronic Energy and Aerospace EngineeringNational Defense University KINIK Company 64Chung-San Rd.Ying-KuoTaipei Hsien 239Taiwan National Taiwan University National Taipei University of Technology KINIK Company 64Chung-San Rd.Ying-Kuo National Cheng-Kung University Advanced Diamond Solutions Inc.351 King Street Suite 813San FranciscoCA 94158USA

With the relentless densification of interconnected circuitry dictated by Moore’ s Law,the CMP manufacture of such delicate wafers requires the significant reduction of polishing pressure of integrated circuits,not only globally,but also locally on every tip of the pad *** diamond disks used for dressing the polyurethane pads cannot produce asperities to achieve such uniformity.A new design of diamond disk was fabricated by casting diamond film on a silicon wafer that contains patterned etching pits. This silicon mold was subsequently removed by dissolution in a hydroxide *** diamond film followed the profile of the etching pits on silicon to form pyramids of identical in size and *** variation of their tip heights was in microns of single digit that was about one order of magnitude smaller than conventional diamond disks for CMP ***,the diamond film contained no metal that might contaminate the circuits on polished wafer during a CMP *** continuous diamond film could resist any corrosive attack by slurry of acid or ***,in-situ dressing during CMP is possible that may improve wafer uniformity and production *** ideal diamond disk(IDD) is designed for the future manufacture of advanced semiconductor chips with node sizes of 32 nm or smaller.

关键词： CMP pad conditioner diamond film CVD Moore’s Law 32 nm node

ON ACTION-MINIMIZING SOLUTIONS OF THE TWO-CENTER PROBLEM

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Acta Mathematica Scientia 2022年第6期42卷 2450-2458页

作者： kuo-chang CHEN Department of Mathematics National Tsing Hua UniversityHsinchuTaiwanChina

The two-center problem,also known as Euler's three-body problem,is a classic example of integrable *** its periodic solutions,planetary type solutions are periodic solutions which enclose both *** by advances on n-body and n-center problems via variational techniques developed during the past two decades,a recent paper(***.2022)shows the minimizing property of planetary type solutions for any given masses of centers at fixed positions,as long as the period is above a mass-dependent threshold *** this paper,we provide further discussions regarding this minimizing *** particular,we improve the above-mentioned mass-dependent threshold value by refining estimates for action values.

关键词： two-center problem n-body problem variational method collision singularity

A Three-Point Method for Separating Incident and Reflected Waves over A Sloping Bed

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China Ocean Engineering 2002年第4期17卷 499-511页

作者： chang Hsien-kuo Department of Civil Engineering National Chiao Tung UniversityHsinchu 300China

This study presents a three-point method for separating incident and reflected waves to explain normally incident waves' propagating over a sloping bed. linear wave shoaling is used to determine changes in wave amplitude and phase in response to variations of bathymetry. The wave reflection coefficient and incident amplitude are estimated from wave heights measured at three fixed wave gauges with unequal spacing. Sensitivity analysis demonstrates that the proposed method can predict the reflection and amplitude of waves over a sloping bed more accurately than the two-point method.

关键词： reflected wave wave shoaling sloping bed

Distance Estimates for Simple Choreographic Solutions of the Three-body Problem

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Acta Mathematica Sinica,English Series 2022年第10期38卷 1823-1830页

作者： kuo chang CHEN Bo Yu PAN Department of Mathematics “National Tsing Hua University”HsinchuTaiwanChina Department of Applied Mathematics “National Chung Hsing University”TaichungTaiwanChina

In this article we estimate mutual distances of simple choreographic solutions for the Newtonian three-body *** formulas will be proved and our applications include the famous figure-8 orbit.

关键词： n-body problem variational method mutual distance

Solving the Optimal Control Problems of Nonlinear Duffing Oscillators By Using an Iterative Shape Functions Method

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Computer Modeling in Engineering & Sciences 2020年第1期122卷 33-48页

作者： Cheinshan Liu Chunglun kuo Jiangren chang Center of Excellence for Ocean Engineering Taiwan Ocean UniversityKeelung20224TaiwanChina Center of Excellence for the Oceans Taiwan Ocean UniversityKeelung20224TaiwanChina Department of Systems Engineering and Naval Architecture Taiwan Ocean UniversityKeelung20224TaiwanChina

In the optimal control problem of nonlinear dynamical system,the Hamiltonian formulation is useful and powerful to solve an optimal control ***,the resulting Euler-Lagrange equations are not easy to solve,when the performance index is complicated,because one may encounter a two-point boundary value problem of nonlinear differential algebraic *** be a numerical method,it is hard to exactly preserve all the specified conditions,which might deteriorate the accuracy of numerical *** this in mind,we develop a novel algorithm to find the solution of the optimal control problem of nonlinear Duffing oscillator,which can exactly satisfy all the required conditions for the minimality of the performance index.A new idea of shape functions method(SFM)is introduced,from which we can transform the optimal control problems to the initial value problems for the new variables,whose initial values are given arbitrarily,and meanwhile the terminal values are determined *** examples confirm the high-performance of the iterative algorithms based on the SFM,which are convergence fast,and also provide very accurate *** new algorithm is robust,even large noise is imposed on the input data.

关键词： Nonlinear Duffing oscillator optimal control problem Hamiltonian formulation shape functions method iterative algorithm

Long Wave Reflection and Transmission over A Sloping Step

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海洋工程：英文版 2004年第3期18卷 371-380页

作者： Hsien-kuo chang Jin-Cheng LIOU Department of Civil Engineering National Chiao Tung University 1001 Ta Hsuech Road Hsinchu 300 ChinaDepartment of Civil Engineering National Chiao Tung University 1001 Ta Hsuech Road Hsinchu 300 China

This investigation examines long wave reflection and transmission induced by a sloping step. Bellman and Kalaba's (1959) invariant imbedding is introduced to find wave reflection. An alternative method matching both the surface elevation and its surface slope of each region at the junction is applied to the determination of wave reflection and transmission. The proposed methods are compared with the accurate numerical results of Porter and Porter (2000) and those of Mei (1983) for a vertical step. The wave reflection obtained for a mildly sloping step differs significantly from the result of Mei. The wave reflection is found to fluctuate owing to wave trapping for the mild sloping step. The height and the face slope of the step are important for determining wave reflection and transmission coefficients.

关键词： long wave reflection coefficient wave transmission wave trapping

Matched glass-to-Kovar seals in N_2 and Ar atmospheres

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International Journal of Minerals,Metallurgy and Materials 2013年第9期20卷 874-882页

作者： Cheng-hsien kuo Pi-ying Cheng chang-pin Chou Department of Mechanical Engineering Chiao Tung University

The oxidation of Kovar alloy was investigated, the wetting and spreading behavior of hard and soft glasses on Kovar alloy were studed by using the sessile drop method, and the quality and the seal strength of glass-Kovar seals were tested. The experimental results indicated that the preoxidation of Kovar alloy for approximately 10 min at 700℃ in air resulted in excellent adherence in glass-Kovar seals. The wetting and spreading behavior of glass on preoxidized Kovar alloy were superior to that on nonoxidized Kovar alloy. The wetting ability of ASF110 glass, at 950℃ and 980℃ in Ar and N2 atmospheres, was significantly superior to that of ASF200R and ASF700 glasses. The seal quality of the glass-preoxidized Kovar seal was superior to that of the glass-nonoxidized Kovar seal. The shear strength of the ASFll0 glass-preoxidized Kovar seal, which was prepared at 980℃ for 20 min in an Ar atmosphere, was approximately 3.9 MPa.

关键词： Kovar alloy glass sealing argon nitrogen oxidation wetting

Simple zero property of some holomorphic functions on the moduli space of tori

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Science China Mathematics 2019年第11期62卷 2089-2102页

作者： Zhijie Chen Ting-Jung kuo chang-Shou Lin Department of Mathematical Sciences and Yau Mathematical Sciences Center Tsinghua UniversityBeijing 100084China Department of Mathematics Taiwan Normal UniversityTaipei 11677China Taida Institute for Mathematical Sciences(TIMS) Center for Advanced Study in Theoretical Sciences(CASTS)Taiwan UniversityTaipei 10617China

We prove that some holomorphic functions on the moduli space of tori have only simple *** of computing the derivative with respect to the moduli parameter τ, we introduce a conceptual proof by applying Painlevé Ⅵ equation. As an application of this simple zero property, we obtain the smoothness of the degeneracy curves of trivial critical points for some multiple Green function.

关键词： simple zero property Painlevé Ⅵ equation Green function