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Existence of Solutions for Volterra Singular Integral Equations in the Class of Exponentially Increasing Functions 认领 引用
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作者 ZHANG Wen-wen LI Ping-run 《Chinese Quarterly Journal of Mathematics》 2025年第2期135-147,共13页
The goal of this paper is to investigate the theory of Noether solvability for Volterra singular integral equations(VSIEs)with convolution and Cauchy kernels in a more general function class.To obtain the analytic sol... The goal of this paper is to investigate the theory of Noether solvability for Volterra singular integral equations(VSIEs)with convolution and Cauchy kernels in a more general function class.To obtain the analytic solutions,we transform such equations into boundary value problems with discontinuous coefficients by the properties of Fourier analysis.In view of the analytical Riemann-Hilbert method,the generalized Liouville theorem and Sokhotski-Plemelj formula,we get the uniqueness and existence of solutions for such problems,and study the asymptotic property of solutions at nodes.Therefore,this paper improves the theory of singular integral equations and boundary value problems. 展开更多
关键词 Volterra singular integral equations The theory of Noether solvability The class of exponentially increasing functions Riemann-Hilbert method
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Unsteady boundary layer flow and heat transfer over an exponentially shrinking sheet with suction in a copper-water nanofluid 认领 引用 被引量：8
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作者 Aurang Zaib Krishnendu Bhattacharyya Sharidan Shafie 《Journal of Central South University》 SCIE EI CAS CSCD 2015年第12期4856-4863,共8页
An analysis of unsteady boundary layer flow and heat transfer over an exponentially shrinking porous sheet filled with a copper-water nanofluid is presented.Water is treated as a base fluid.In the investigation,non-un... An analysis of unsteady boundary layer flow and heat transfer over an exponentially shrinking porous sheet filled with a copper-water nanofluid is presented.Water is treated as a base fluid.In the investigation,non-uniform mass suction through the porous sheet is considered.Using Keller-box method the transformed equations are solved numerically.The results of skin friction coefficient,the local Nusselt number as well as the velocity and temperature profiles are presented for different flow parameters.The results showed that the dual non-similar solutions exist only when certain amount of mass suction is applied through the porous sheet for various unsteady parameters and nanoparticle volume fractions.The ranges of suction where dual non-similar solution exists,become larger when values of unsteady parameter as well as nanoparticle volume fraction increase.So,due to unsteadiness of flow dynamics and the presence of nanoparticles in flow field,the requirement of mass suction for existence of solution of boundary layer flow past an exponentially shrinking sheet is less.Furthermore,the velocity boundary layer thickness decreases and thermal boundary layer thickness increases with increasing of nanoparticle volume fraction in both non-similar solutions.Whereas,for stronger mass suction,the velocity boundary layer thickness becomes thinner for the first solution and the effect is opposite in the case of second solution.The temperature inside the boundary layer increases with nanoparticle volume fraction and decreases with mass suction.So,for the unsteadiness and for the presence of nanoparticles,the flow separation is delayed to some extent. 展开更多
关键词 unsteady boundary layer heat transfer nanofluid exponentially shrinking sheet dual non-similar solutions
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MHD flow of nanofluids over an exponentially stretching sheet in a porous medium with convective boundary conditions 认领 引用 被引量：5
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作者 T.Hayat M.Imtiaz +1 位作者 A.Alsaedi R.Mansoor 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第5期360-367,共8页
This article concentrates on the steady magnetohydrodynamic （MHD） flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comp... This article concentrates on the steady magnetohydrodynamic （MHD） flow of viscous nanofluid. The flow is caused by a permeable exponentially stretching surface. An incompressible fluid fills the porous space. A comparative study is made for the nanoparticles namely Copper （Cu）, Silver （Ag）, Alumina （A1203） and Titanium Oxide （TiO2）. Water is treated as a base fluid. Convective type boundary conditions are employed in modeling the heat transfer process. The non-linear partial differential equations governing the flow are reduced to an ordinary differential equation by similarity transformations. The obtained equations are then solved for the development of series solutions. Convergence of the obtained series solutions is explicitly discussed. The effects of different parameters on the velocity and temperature profiles are shown and analyzed through graphs. 展开更多
关键词 MHD nanofluid exponentially stretching sheet porous medium convective boundary conditions
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Exponentially modified Gaussian relevance to the distributions of translocation events in nanopore-based single molecule detection 认领 引用 被引量：3
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作者 Zhen Gu Yi-Lun Ying +3 位作者 Bing-Yong Yan Hui-Feng Wang Pin-Gang He Yi-Tao Long 《Chinese Chemical Letters》 SCIE CAS CSCD 2014年第7期1029-1032,共4页
Nanopore technique plays an important role in single molecule detection, which illuminates the properties of an individual molecule by analyzing the blockage durations and currents. However, the traditional exponentia... Nanopore technique plays an important role in single molecule detection, which illuminates the properties of an individual molecule by analyzing the blockage durations and currents. However, the traditional exponential function is lack of efficiency to describe the distributions of blockage durations in nanopore experiments. Herein, we introduced an exponentially modified Gaussian （EMG） function to fit the duration histograms of both simulated events and experimental events. In comparison with the traditional exponential function, our results demonstrated that the EMG provides a better fit while covers the entire range of the distributions. In particular, the fitted parameters of EMG could be directly used to discriminate the sequence length of the oligonucleotides at single molecule level. 展开更多
关键词 Nanopore Single-molecule detection Exponentially modified Gaussian
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Complete Solution of Large Plastic Deformation of Square Plates Under Exponentially Decaying Pulse Loading 认领 引用 被引量：3
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作者 Faliang Chen Lanren Tian +1 位作者 T.X.Yu Ling Zhu 《Acta Mechanica Solida Sinica》 SCIE EI CSCD 2021年第6期922-936,共15页
The rigid-plastic assumption has greatly simplified the theoretical analysis of dynamic plastic response of structures.Within this framework,a common tool is the modal technique using approximate independent yield cri... The rigid-plastic assumption has greatly simplified the theoretical analysis of dynamic plastic response of structures.Within this framework,a common tool is the modal technique using approximate independent yield criteria,which leads to upper-and lower-bound solutions,but usually with poor accuracy.In this paper,by utilizing the membrane factor method(MFM),the large-deflection dynamic plastic response of square plates subjected to exponentially decaying pulse loading is analyzed by taking both the transient response phase and the exact yield criterion into account.Based on the combination of saturation analysis(SA)and MFM,the complete solutions and regressive formulae of saturated deflection and saturated impulse are obtained.As the dynamic behavior of plates under rectangular pulse loading serves as a benchmark of pulse-equivalent techniques,the large plastic deformation of square plates under short-duration rectangular pulse is also analyzed in detail.Moreover,by comparing the SA results of pulse-loaded square plates with different boundary conditions,it is found that the saturated deflection and saturated impulse of the fully clamped and simply supported square plates both increase linearly with the pulse amplitude,and the slopes are approximately the same,so the conversion between the SA quantities of plates with different boundary conditions can be easily achieved. 展开更多
关键词 Exponentially decaying(ED)pulse loading Rectangular pulse loading Membrane factor method(MFM) Saturation analysis(SA) Complete solution
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Diffusion of chemically reactive species in third grade fluid flow over an exponentially stretching sheet considering magnetic field effects 认领 引用 被引量：2
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作者 T.Hayat M.Ijaz Khan +2 位作者 M.Waqas A.Alsaedi T.Yasmeen 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2017年第3期257-263,共7页
This article addresses the magnetohydrodynamics(MHD) flow of a third grade fluid over an exponentially stretching sheet. Analysis is carried out in the presence of first order chemical reaction. Both cases of construc... This article addresses the magnetohydrodynamics(MHD) flow of a third grade fluid over an exponentially stretching sheet. Analysis is carried out in the presence of first order chemical reaction. Both cases of constructive and destructive chemical reactions are reported. Convergent solutions of the resulting differential systems are presented in series forms. Characteristics of various sundry parameters on the velocity, concentration, skin friction and local Sherwood number are analyzed and discussed. 展开更多
关键词 Chemical reaction Third grade fluid Exponentially stretching sheet Magnetic field
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Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet 认领 引用 被引量：2
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作者 T.HAYAT M.IMTIAZ A.ALSAEDI 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2016年第5期573-582,共10页
The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transformations reduce a system of nonlinear partial differential equatio... The present paper investigates the steady flow of an Oldroyd-B fluid. The fluid flow is induced by an exponentially stretched surface. Suitable transformations reduce a system of nonlinear partial differential equations to a system of ordinary dif- ferential equations. Convergence of series solution is discussed explicitly by a homotopy analysis method （HAM）. Velocity, temperature and heat transfer rates are examined for different involved parameters through graphs. It is revealed that for a larger retardation time constant, the velocity is enhanced and the temperature is lowered. It is noted that relaxation time constant and the Prandtl number enhance the heat transfer rate. 展开更多
关键词 Oldroyd-B fluid homotopy analysis method （HAM） exponentially stretch-ing sheet
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Numerical treatment for Darcy-Forchheimer flow of carbon nanotubes due to an exponentially stretching curved surface 认领 引用 被引量：1
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作者 Tasawar HAYAT Farwa HAIDER +1 位作者 Taseer MUHAMMAD Ahmed ALSAEDI 《Journal of Central South University》 SCIE EI CAS CSCD 2019年第4期865-872,共8页
This article gives a numerical report to two dimensional(2D)Darcy-Forchheimer flow of carbon-water nanofluid.Flow is instigated by exponential extending curved surface.Viscous liquid in permeable space is described by... This article gives a numerical report to two dimensional(2D)Darcy-Forchheimer flow of carbon-water nanofluid.Flow is instigated by exponential extending curved surface.Viscous liquid in permeable space is described by Darcy-Forchheimer.The subsequent arrangement of partial differential equations is changed into ordinary differential framework through proper transformations.Numerical arrangements of governing frameworks are set up by NDSolve procedure.Outcomes of different sundry parameters on temperature and velocity are examined.Skin friction and heat transfer rate are also shown and inspected. 展开更多
关键词 carbon nanotube Darcy-Forchheimer flow exponentially stretching curved surface numerical solution
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Buckling analysis of nanobeams with exponentially varying stiffness by differential quadrature method 认领 引用 被引量：1
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作者 S Chakraverty Laxmi Behera 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第7期218-227,共10页
We present the application of differential quadrature（DQ） method for the buckling analysis of nanobeams with exponentially varying stiffness based on four different beam theories of Euler-Bernoulli, Timoshenko, Redd... We present the application of differential quadrature（DQ） method for the buckling analysis of nanobeams with exponentially varying stiffness based on four different beam theories of Euler-Bernoulli, Timoshenko, Reddy, and Levison.The formulation is based on the nonlocal elasticity theory of Eringen. New results are presented for the guided and simply supported guided boundary conditions. Numerical results are obtained to investigate the effects of the nonlocal parameter,length-to-height ratio, boundary condition, and nonuniform parameter on the critical buckling load parameter. It is observed that the critical buckling load decreases with increase in the nonlocal parameter while the critical buckling load parameter increases with increase in the length-to-height ratio. 展开更多
关键词 differential quadrature method exponentially varying stiffness different beam theories
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HIGH ORDER ONE-STEP A-STABLE EXPONENTIALLY FITTED METHODS 认领 引用
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作者 YangFengiian ChenXinming LuoYiping 《Applied Mathematics(A Journal of Chinese Universities)》 1999年第3期359-365,共7页
In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed w ... In this paper,the necessary and sufficient conditions for generalone-step m ethods to be exponentially fitted atq0∈C aregiven.A classofm ultiderivative hybrid one-step m ethods of order at leasts+ 1 is constructed w ith s+ 1 param eters,w here sis the order of derivative.The necessary and sufficient conditions for these m ethods to be A-stable and exponentially fitted is proved.Furtherm ore,a class ofA-stable 2 param eters hybrid one-step m ethods oforderatleast 8 are constructed,w hich use 4th order derivative.These m ethods are exponentially fitted atq0 if and only if its fitted function f(q) satisfies f(q0)= 0.Finally,an A-stable exponentially fitted m ethod oforder 8 is obtained. 展开更多
关键词 Multiderivative hybrid m ethod exponentially fitted m ethod A-stability.
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Some results on P-harmonic maps and exponentially harmonic maps between Finsler manifolds 认领 引用
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作者 ZHU Wei 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE 2010年第2期236-242,共7页
This paper studies the stability of P-harmonic maps and exponentially harmonic maps from Finsler manifolds to Riemannian manifolds by an extrinsic average variational method in the calculus of variations. It generaliz... This paper studies the stability of P-harmonic maps and exponentially harmonic maps from Finsler manifolds to Riemannian manifolds by an extrinsic average variational method in the calculus of variations. It generalizes Li＇s results in [2] and [3]. 展开更多
关键词 Finsler manifolds stable P-harmonic maps exponentially harmonic maps.
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Potential Response Analysis of Exponentially Decaying Polarizing Current of Electrode and its Use in the Study of Stress Corrosion Cracking(SCC)of Stainless Steel 认领 引用
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作者 Yanliang HUANG Ming LU Chunan CAO Haichao LIN Ming LU Corrosion Science Laboratory,Institute of Corrosion and Protection of Metals,Academia Sinica,Shenyang,110015,China 《Journal of Materials Science & Technology》 SCIE EI CAS 1993年第3期195-198,共4页
A study on the potential response of exponentially decaying polarizing current of electrode was car- ried out.The appearance of critical point of the potential-time response of exponentially decaying current was ensur... A study on the potential response of exponentially decaying polarizing current of electrode was car- ried out.The appearance of critical point of the potential-time response of exponentially decaying current was ensured from theoretical analysis,and this is the theoretical foundation of the critical point method for the measurement of corrosion current of metals.The comparison of the corrosion currents measured by the critical point and static methods for the system of 321 stainless steel in 0.5N HCI+0.5N NaCI solution at static state shows that the results agree very well.Finally.the tran- sient corrosion currents of 321 stainless steel in 0.5N HCI+0.5N NaCl solution at different strain level are listed. 展开更多
关键词 exponentially decaying current polarization corrosion current
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Parameters optimization for exponentially weighted moving average control chart using generalized regression neural network 认领 引用
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作者 梁宗保 《Journal of Chongqing University》 2006年第3期131-136,共6页
As a useful alternative of Shewhart control chart, exponentially weighted moving average （EWMA） control chat has been applied widely to quality control, process monitoring, forecast, etc. In this paper, a method was... As a useful alternative of Shewhart control chart, exponentially weighted moving average （EWMA） control chat has been applied widely to quality control, process monitoring, forecast, etc. In this paper, a method was introduced for optimal design of EWMA and multivariate EWMA （MEWMA） control charts, in which the optimal parameter pair （ λ, k） or （ λ, h ） was searched by using the generalized regression neural network （GRNN）. The results indicate that the optimal parameter pair can be obtained effectively by the proposed strategy for a given in-control average running length （ARLo） and shift to detect under any conditions, removing the drawback of incompleteness existing in the tables that had been reported. 展开更多
关键词 parameter optimization exponentially weighted moving average control chart generalized regression neural network
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Entropy Generation for Flow and Heat Transfer of Sisko-Fluid Over an Exponentially Stretching Surface 认领 引用 被引量：2
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作者 Mohamed Abd El-Aziz A.M.Aly 《Computers, Materials & Continua》 SCIE EI 2020年第1期37-59,共23页
In the present study,the effects of the magnetic field on the entropy generation during fluid flow and heat transfer of a Sisko-fluid over an exponentially stretching surface are considered.The similarity transformati... In the present study,the effects of the magnetic field on the entropy generation during fluid flow and heat transfer of a Sisko-fluid over an exponentially stretching surface are considered.The similarity transformations are used to transfer the governing partial differential equations into a set of nonlinear-coupled ordinary differential equations.Runge-Kutta-Fehlberg method is used to solve the governing problem.The effects of magnetic field parameter,local slip parameterλ,generalized Biot numberγ,Sisko fluid material parameter,Eckert number Ec,Prandtl number Pr and Brinkman number Br at two values of power law index on the velocity,temperature,local entropy generation number NG and Bejan number Be are inspected.Moreover,the tabular forms for local skin friction coefficient and local Nusselt number under the effects of the physical parameters are exhibited.The current results are helpful in checking the entropy generation for Sisko-fluid.It is found that,an extra magnetic field parameter makes higher Lorentz force that suppresses the velocity.For shear thinning fluids(n<1),the temperature dominates and the velocity rises.Local entropy generation number is more for larger generalized Biot number,magnetic field parameter and Brinkman number.The local skin friction coefficient increases as magnetic field parameter and material parameter are increase and it decreases as local slip parameter increases.The local Nusselt number decreases as magnetic field parameter,local slip parameter and Eckert number are increase,while it increases as material parameter,generalized Biot number and Prandtl number are increase. 展开更多
关键词 Boundary layer entropy generation exponentially stretching surface magnetic field sisko-fluid
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MHD boundary layer flow of Casson fluid passing through an exponentially stretching permeable surface with thermal radiation 认领 引用 被引量：2
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作者 Swati Mukhopadhyay Iswar Chandra Moindal Tasawar Hayat 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第10期306-314,共9页
This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid beh... This article numerically examines the boundary layer flow due to an exponentially stretching surface in the presence of an applied magnetic field. Casson fluid model is used to characterize the non-Newtonian fluid behavior. The flow is subjected to suction/blowing at the surface. Analysis is carded out in presence of thermal radiation and prescribed surface heat flux. In this study, an exponential order stretching velocity and prescribed exponential order surface heat flux are accorded with each other. The governing partial differential equations are first converted into nonlinear ordinary differential equations by using appropriate transformations and then solved numerically. The effect of increasing values of the Casson parameter is to suppress the velocity field. However the temperature is enhanced when Casson parameter increases. It is found that the skin-friction coefficient increases with increasing values of suction parameter. Temperature also increases for large values of power index n in both suction and blowing cases at the boundary. It is observed that the thermal radiation enhances the effective thermal diffusivity and hence the temperature rises. 展开更多
关键词 exponential stretching suction/blowing prescribed heat flux thermal radiation
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Multi-exponentially Photoelectric Response of Bacteriorhodopsin 认领 引用 被引量：1
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作者 YAO Bao-Li XU Da-Lun +2 位作者 HOU Xun HU Kun-Sheng WANG Ao-Jin 《Chinese Physics Letters》 SCIE EI CAS 2001年第1期134-136,共3页
A thin oriented bacteriorhodopsin(bR)film is deposited on a stainless steel slide by use of the electrophoretic sedimentation method.A junction is made with electrolyte gels having a counterelectrode to construct a bR... A thin oriented bacteriorhodopsin(bR)film is deposited on a stainless steel slide by use of the electrophoretic sedimentation method.A junction is made with electrolyte gels having a counterelectrode to construct a bR-based photoelectric detector.The photoelectric response signal to a 10ns laser pulse is measured.A theory on the photoelectric kinetics of bR is developed based on the concept of the charge displacement current and the bR photocycle rate equations.Comparison between the theoretical and experimental results proves that the bR photoelectric response to a short laser pulse is a multi-exponential process.The decay time constants and amplitudes of each exponential component are obtained by data fitting. 展开更多
关键词 exponential photoelectric kinetics
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The New Neutrosophic Double and Triple Exponentially Weighted Moving Average Control Charts 认领 引用
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作者 Ambreen Shafqat Muhammad Aslam +1 位作者 Muhammad Saleem Zameer Abbas 《Computer Modeling in Engineering & Sciences》 SCIE EI 2021年第10期373-391,共19页
The concept of neutrosophic statistics is applied to propose two monitoring schemes which are an improvement of the neutrosophic exponentially weighted moving average(NEWMA)chart.In this study,two control charts are d... The concept of neutrosophic statistics is applied to propose two monitoring schemes which are an improvement of the neutrosophic exponentially weighted moving average(NEWMA)chart.In this study,two control charts are designed under the uncertain environment or neutrosophic statistical interval system,when all observations are undermined,imprecise or fuzzy.These are termed neutrosophic double and triple exponentially weighted moving average(NDEWMA and NTEWMA)control charts.For the proficiency of the proposed chart,Monte Carlo simulations are used to calculate the run-length characteristics(such as average run length(ARL),standard deviation of the run length(SDRL),percentiles(P25,P50,P75))of the proposed charts.The structures of the proposed control charts are more effective in detecting small shifts while these are comparable with the other existing charts in detecting moderate and large shifts.The simulation study and real-life implementations of the proposed charts show that the proposed NDEWMA and NTEWMA charts perform better in monitoring the process of road traffic crashes and electric engineering data as compared to the existing control charts.Therefore,the proposed charts will be helpful in minimizing the road accident and minimizing the defective products.Furthermore,the proposed charts are more acceptable and actual to apply in uncertain environment. 展开更多
关键词 Exponentially weighted moving average(EWMA) double EWMA triple EWMA neutrosophic control chart run-length
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Heat transfer analysis of Williamson fluid over exponentially stretching surface 认领 引用 被引量：3
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作者 S.NADEEM S.T.HUSSAIN 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2014年第4期489-502,共14页
This study explores the effects of heat transfer on the Williamson fluid over a porous exponentially stretching surface. The boundary layer equations of the Williamson fluid model for two dimensional flow with heat tr... This study explores the effects of heat transfer on the Williamson fluid over a porous exponentially stretching surface. The boundary layer equations of the Williamson fluid model for two dimensional flow with heat transfer are presented. Two cases of heat transfer are considered, i.e., the prescribed exponential order surface temperature （PEST） case and the prescribed exponential order heat flux （PEHF） case. The highly nonlinear partial differential equations are simplified with suitable similar and non-similar variables, and finally are solved analytically with the help of the optimal homotopy analysis method （OHAM）. The optimal convergence control parameters are obtained, and the physical fea- tures of the flow parameters are analyzed through graphs and tables. The skin friction and wall temperature gradient are calculated. 展开更多
关键词 optimal homotopy analysis method （OHAM） Williamson fluid expo-nential stretching permeable wall heat transfer prescribed exponential order surfacetemperature （PEST） prescribed exponential order heat flux （PEHF）
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Boundary Layer Flow and Heat Transfer over an Exponentially Shrinking Sheet 认领 引用 被引量：12
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作者 Krishnendu Bhattacharyya 《Chinese Physics Letters》 SCIE EI CAS CSCD 2011年第7期198-201,共4页
An analysis is made to study boundary layer flow and heat transfer over an exponentially shrinking sheet.Using similarity transformations in exponential form,the governing boundary layer equations are transformed into... An analysis is made to study boundary layer flow and heat transfer over an exponentially shrinking sheet.Using similarity transformations in exponential form,the governing boundary layer equations are transformed into self-similar nonlinear ordinary differential equations,which are then solved numerically using a very efficient shooting method.The analysis reveals the conditions for the existence of steady boundary layer flow due to exponential shrinking of the sheet and it is found that when the mass suction parameter exceeds a certain critical value,steady flow is possible.The dual solutions for velocity and temperature distributions are obtained.With increasing values of the mass suction parameter,the skin friction coefficient increases for the first solution and decreases for the second solution. 展开更多
关键词 solution method exponential
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Millimeter wave dielectric loaded exponentially tapered slot antenna array using substrate integrated waveguide for gigabit wireless communications 认领 引用
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作者 S Ramesh T Rama Rao 《红外与毫米波学报》 SCIE EI CAS CSCD 北大核心 2015年第5期513-519,共7页
A new and upcoming application is the use of 60 GHz antennas for high date rate point-to-point connections to serve Gigabit(Gi-Fi)w ireless communications.The design of M illimeter w ave(M m W)antennas has to cope w i... A new and upcoming application is the use of 60 GHz antennas for high date rate point-to-point connections to serve Gigabit(Gi-Fi)w ireless communications.The design of M illimeter w ave(M m W)antennas has to cope w ith the unadorned influences of manufacturing tolerances and losses at 60 GHz.In this paper,the concept of Substrate Integrated Waveguide(SIW)and Exponentially Tapered Slot(ETS)antenna w ere used together to design a high gain,efficient planar dielectric loaded antenna for M m W Gi-Fi w ireless communications at 60 GHz.The SIW is used to feed the antenna and a dielectric is utilized in front of the antenna to increase the gain.The dielectric loaded ETS antenna and compact SIW feed w ere fabricated on a single substrate,resulting in low cost and easy fabrication.The antenna w ith elliptical shaped dielectric loaded w as fabricated using printed circuit board process.The measured gain of the single element antenna is 10.2 dB,w hile the radiation efficiency of 96.84%is obtained at 60 GHz.The Y-junction SIW pow er divider is used to form a 1×4 array structure.M easured gain of the 1×4 array antenna is 13.3 dB,w hile the measured radiation pattern and gain are almost constant w ithin the w ide bandw idth of the antenna. 展开更多
关键词 millimeter waves 60 GHz exponentially tapered slot antenna dielectric loading substrate integrated waveguide
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