This paper addresses a multicircular circumnavigation control for UAVs with desired angular spacing around a nonstationary target.By defining a coordinated error relative to neighboring angular spacing,under the premi...This paper addresses a multicircular circumnavigation control for UAVs with desired angular spacing around a nonstationary target.By defining a coordinated error relative to neighboring angular spacing,under the premise that target information is perfectly accessible by all nodes,a centralized circular enclosing control strategy is derived for multiple UAVs connected by an undirected graph to allow for formation behaviors concerning the moving target.Besides,to avoid the requirement of target’s states being accessible for each UAV,fixed-time distributed observers are introduced to acquire the state estimates in a fixed-time sense,and the upper boundary of settling time can be determined offline irrespective of initial properties,greatly releasing the burdensome communication traffic.Then,with the aid of fixed-time distributed observers,a distributed circular circumnavigation controller is derived to force all UAVs to collaboratively evolve along the preset circles while keeping a desired angular spacing.It is inferred from Lyapunov stability that all errors are demonstrated to be convergent.Simulations are offered to verify the utility of proposed protocol.展开更多
Most researches associated with target encircling control are focused on moving along a circular orbit under an ideal environment free from external disturbances.However,elliptical encirclement with a time-varying obs...Most researches associated with target encircling control are focused on moving along a circular orbit under an ideal environment free from external disturbances.However,elliptical encirclement with a time-varying observation radius,may permit a more flexible and high-efficacy enclosing solution,whilst the non-orthogonal property between axial and tangential speed components,non-ignorable environmental perturbations,and strict assignment requirements empower elliptical encircling control to be more challenging,and the relevant investigations are still open.Following this line,an appointed-time elliptical encircling control rule capable of reinforcing circumnavigation performances is developed to enable Unmanned Aerial Vehicles(UAVs)to move along a specified elliptical path within a predetermined reaching time.The remarkable merits of the designed strategy are that the relative distance controlling error can be guaranteed to evolve within specified regions with a designer-specified convergence behavior.Meanwhile,wind perturbations can be online counteracted based on an unknown system dynamics estimator(USDE)with only one regulating parameter and high computational efficiency.Lyapunov tool demonstrates that all involved error variables are ultimately limited,and simulations are implemented to confirm the usability of the suggested control algorithm.展开更多
We present a novel method for heightening the sensitivity of a prism coupler-based surface plasmon resonance(SPR)sensor.The method is based on the total reflection prism made of BK7 glass combined with the Kretschmann...We present a novel method for heightening the sensitivity of a prism coupler-based surface plasmon resonance(SPR)sensor.The method is based on the total reflection prism made of BK7 glass combined with the Kretschmann geometry of theattenuated total reflection(ATR)method.Compared to the conventional methods of prism coupler-based SPR,the novel method provides higher sensitivity to the measurement system.Theoretical simulations show that the detection sensitivity to the refractive index(RI)of the sensor based on the novel approach has a strong dependence on the thickness of the metal layer.The RI resolution of the sensor is predicted to be 8×10^(-7)refractive index units(RIU)under the condition of optimum metal film thickness.This novel method can leave out a precision angle rotation device in the angle modulation and it is unnecessary to adjust the acceptance angle of the light detector.The principal advantage of this method over other methods of light intensity modulation based on prism coupler-based SPR is high sensitivity,expediency to measure and application of long distances.展开更多
This paper discusses the Ⅰ-Ⅴ property of the GaAs-based resonant tunnelling structure(RTS) under external uniaxial pressure by photoluminescence studies.Compressive pressure parallel to the [110] direction,whose val...This paper discusses the Ⅰ-Ⅴ property of the GaAs-based resonant tunnelling structure(RTS) under external uniaxial pressure by photoluminescence studies.Compressive pressure parallel to the [110] direction,whose value is determined by Hooke's law,is imposed on the sample by a helix micrometer.With the increase of the applied external uniaxial compressive pressure,the blue shift and splitting of the luminescence peaks were observed,which have some influence on the I-V curve of RTS from the point of view of the energy gap,and the splitting became more apparent with applied pressure.Full width at half maximum broadening could also be observed.展开更多
Graphene has high light transmittance of 97.7% and ultrafast carrier mobility, which means it has attracted widespread attention in two-dimensional materials. However, the optical absorptivity of single-layer graphene...Graphene has high light transmittance of 97.7% and ultrafast carrier mobility, which means it has attracted widespread attention in two-dimensional materials. However, the optical absorptivity of single-layer graphene is only 2.3%, and the corresponding photoresponsivity is difficult to produce at normal light irradiation. And the low on–off ratio resulting from the zero bandgap makes it unsuitable for many electronic devices, hindering potential development. The graphene-based heterojunction composed of graphene and other materials has outstanding optical and electrical properties, which can mutually modify the defects of both the graphene and material making it then suitable for optoelectronic devices. In this review,the advantages of graphene-based heterojunctions in the enhancement of the performance of photodetectors are reviewed.Firstly, we focus on the photocurrent generation mechanism of a graphene-based heterojunction photodetector, especially photovoltaic, photoconduction and photogating effects. Secondly, the classification of graphene-based heterojunctions in different directions is summarized. Meanwhile, the latest research progress of graphene-transition metal dichalcogenide(TMD) heterojunction photodetectors with excellent performance in graphene-based heterostructures is introduced. Finally,the difficulties faced by the existing technologies of graphene-based photodetectors are discussed, and further prospects are proposed.展开更多
NiFe2O4 nanorods have been successfully synthesized via thermal treatment of the rod-like precursor fabricated by Ni-doped α-FeOOH,which was enwrapped by the complex of citric acid and Ni2+.The morphology evolution d...NiFe2O4 nanorods have been successfully synthesized via thermal treatment of the rod-like precursor fabricated by Ni-doped α-FeOOH,which was enwrapped by the complex of citric acid and Ni2+.The morphology evolution during the calcination of the precursor nanorods was investigated with transmission electron microscopy(TEM),and the phase and the magnetic properties of samples were analyzed through X-ray diffraction(XRD) and vibrating sample magnetometer(VSM).The results indicated that the diameter of the NiFe2O4 nanorods obtained ranged between 30 and 50 nm,and the length ranged between 2 and 3 μm.As the calcination temperature was up to 600℃,the coercivity,saturation magnetization,and remanent magnetization of the samples were 36.1 kA·m-1,27.2 A·m2·kg-1,and 5.3 A·m2·kg-1,respectively.The NiFe2O4 nanorods prepared have higher shape anisotropy and superior magnetic properties than those with irregular shapes.展开更多
The modification of Fe-14Mn-5Si-9Cr-5Ni shape memory alloys(SMAs) by copper addition was carried out, aiming at further enhancing its corrosion resistance. The results of electrochemical potentiodynamic measurement an...The modification of Fe-14Mn-5Si-9Cr-5Ni shape memory alloys(SMAs) by copper addition was carried out, aiming at further enhancing its corrosion resistance. The results of electrochemical potentiodynamic measurement and immersion test show that copper can remarkably improve the corrosion resistance in Cl- solution. Otherwise, it is found that copper cannot markedly affect the mechanical properties nor the shape memory effect(SME). As for the effects of copper on Fe-Mn-Si based alloys, the austenite strengthening is one of the key factors to improve SME.展开更多
Taking the accelerometer installation errors into consideration,the attitude optimization algorithm of Gyro Free Inertial Measurement Unit(GFIMU)is studied in the high spinning condition in this paper.A ten-accelerome...Taking the accelerometer installation errors into consideration,the attitude optimization algorithm of Gyro Free Inertial Measurement Unit(GFIMU)is studied in the high spinning condition in this paper.A ten-accelerometer configuration is designed so as to establish a mathematical model to acquire the angular speeds in the case of installation errors.Precision of the algorithm is evaluated by using damping Gauss-Newton method.A large amount of simulation results show that if the accelerometer’s angle-installation errors maintain small(<5°),the errors of attitude angles can be limited within ±1°.Hence,the algorithm has a great applicable value in engineering.展开更多
AZ31 magnesium alloys were hot-extruded at 573 K and 623 K with extrusion ratio(λ) of 20,35 and 50.The corrosion and mechanical behavior of hot-extruded AZ31 were studied by galvanic tests and tensile tests.The micro...AZ31 magnesium alloys were hot-extruded at 573 K and 623 K with extrusion ratio(λ) of 20,35 and 50.The corrosion and mechanical behavior of hot-extruded AZ31 were studied by galvanic tests and tensile tests.The microstructures of the studied AZ31 alloys were also investigated with optical microscope.The results show that,compared with the as-cast AZ31 alloy,the corrosion potentials of all hot-extruded AZ31 alloys are increased by 60 mV.Moreover,at the extrusion temperature of 623 K,the galvanic current of AZ31 alloy decreases with increasing extrusion and the galvanic corrosion resistance is increased by 10%with the extrusion ratio of 50.In addition,the tensile strength and elongation of the extruded alloys are significantly enhanced by about 20%and 140%,respectively.The improvement of corrosion resistance and obvious increasing of mechanical properties of AZ31 alloys by hot-extrusion are ascribed to grain refinement and microstructural modification together with the homogeneous distribution of intermetallic phases throughout the matrix.展开更多
Pulse laser range detector is to measure the distance by estimating the time delay between the emitting pulse and echo pulse.In this paper,a mathematical model for the target echo signal of laser fuze has been establi...Pulse laser range detector is to measure the distance by estimating the time delay between the emitting pulse and echo pulse.In this paper,a mathematical model for the target echo signal of laser fuze has been established;in accordance with this model,the formulas for echo time-delay estimation and for amplitude estimation based on least squares criterion have been deduced.It is argued and simulated that the resolution of echo time-delay estimation could be improved through multi-reference correlation approach.Experiments illustrate that the approach enables pulsed laser fuze to perform high-precision ranging under a low signal-to-noise ratio condition.展开更多
The influences of deformation temperature and deformation degree on the microstructure and mechanical properties of AZ80 magnesium alloy were investigated by the adoption of isothermal plain strain compression experim...The influences of deformation temperature and deformation degree on the microstructure and mechanical properties of AZ80 magnesium alloy were investigated by the adoption of isothermal plain strain compression experiment.The results show that thermal compression processing can refine the grain size and the tensile strength of all the deformed AZ80 magnesium alloys is increased to the maximum of 320 MPa.With the increasing of deformation temperature,the tensile strength decreases;with the increasing of the deformation degree,the tensile strength increases significantly in the temperature range of 200-300℃and becomes stable at temperature higher than 300℃.During the compression processing of AZ80 magnesium alloys,at lower temperature (<300℃),dynamic recrystallization is incomplete and a certain hardening effect is preserved,which makes great effect of deformation degree on the properties.At higher temperature(>300℃),dynamic recrystallization is complete and refined grain strengthening is dominant,leading to little effect of deformation degree on mechanical properties.展开更多
Photoluminescence (PL) spectroscopy and photoreflectance (PR) spectroscopy are very useful techniques for studying the properties of materials.In this paper,the same material of Cu-rich metal-organic vapour phase epit...Photoluminescence (PL) spectroscopy and photoreflectance (PR) spectroscopy are very useful techniques for studying the properties of materials.In this paper,the same material of Cu-rich metal-organic vapour phase epitaxy (MOVPE) grown CuGaSe 2 layer is investigated in a temperature range from 20 to 300 K to compare these two techniques.Both PL and PR spectra appear red shifted,less intense and broadened.The temperature dependence of interband transitions is studied by using the Manoogian-Leclerc equation.The values of the band gap energy at T =0 K and the effective phonon temperature are estimated.The temperature dependences of intensities and broadenings of PL and PR spectral lines are also analysed.Based on the results of the comparison,the features and applications of the PL and PR can be shown in detail.展开更多
Hexagonal GaN epilayer grown on sapphire substrate by metal organic chemical vapour deposition (MOCVD) is studied using Raman scattering and photoluminescence in a temperature range from 100 K to 873 K. The model of s...Hexagonal GaN epilayer grown on sapphire substrate by metal organic chemical vapour deposition (MOCVD) is studied using Raman scattering and photoluminescence in a temperature range from 100 K to 873 K. The model of strain (stress) induced by the different lattice parameters and thermal coefficients of epilayer and substrate as a function of temperature is set up. The frequency and the linewidth of E high 2 mode in a GaN layer are modelled by a theory with considering the thermal expansion of the lattice, a symmetric decay of the optical phonons, and the strain (stress) in the layer. The temperature-dependent energy shift of free exciton A is determined by using Varshni empirical relation, and the effect of strain (stress) is also investigated. We find that the strain in the film leads to a decreasing shift of the phonon frequency and an about 10meV-increasing shift of the energy in a temperature range from 100 K to 823 K.展开更多
基金supported in part by the National Natural Science Foundation of China under Grant Nos.62173312,61922037,61873115,and 61803348in part by the National Major Scientific Instruments Development Project under Grant 61927807+6 种基金in part by the State Key Laboratory of Deep Buried Target Damage under Grant No.DXMBJJ2019-02in part by the Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi under Grant 2020L0266in part by the Shanxi Province Science Foundation for Youths under Grant No.201701D221123in part by the Youth Academic North University of China under Grant No.QX201803in part by the Program for the Innovative Talents of Higher Education Institutions of Shanxiin part by the Shanxi“1331Project”Key Subjects Construction under Grant 1331KSCin part by the Supported by Shanxi Province Science Foundation for Excellent Youths。
文摘This paper addresses a multicircular circumnavigation control for UAVs with desired angular spacing around a nonstationary target.By defining a coordinated error relative to neighboring angular spacing,under the premise that target information is perfectly accessible by all nodes,a centralized circular enclosing control strategy is derived for multiple UAVs connected by an undirected graph to allow for formation behaviors concerning the moving target.Besides,to avoid the requirement of target’s states being accessible for each UAV,fixed-time distributed observers are introduced to acquire the state estimates in a fixed-time sense,and the upper boundary of settling time can be determined offline irrespective of initial properties,greatly releasing the burdensome communication traffic.Then,with the aid of fixed-time distributed observers,a distributed circular circumnavigation controller is derived to force all UAVs to collaboratively evolve along the preset circles while keeping a desired angular spacing.It is inferred from Lyapunov stability that all errors are demonstrated to be convergent.Simulations are offered to verify the utility of proposed protocol.
基金National Natural Science Foundation of China(Grant Nos.61803348,62173312,51922009)Shanxi Province Key Laboratory of Quantum Sensing and Precision Measurement(Grant No.201905D121001).
文摘Most researches associated with target encircling control are focused on moving along a circular orbit under an ideal environment free from external disturbances.However,elliptical encirclement with a time-varying observation radius,may permit a more flexible and high-efficacy enclosing solution,whilst the non-orthogonal property between axial and tangential speed components,non-ignorable environmental perturbations,and strict assignment requirements empower elliptical encircling control to be more challenging,and the relevant investigations are still open.Following this line,an appointed-time elliptical encircling control rule capable of reinforcing circumnavigation performances is developed to enable Unmanned Aerial Vehicles(UAVs)to move along a specified elliptical path within a predetermined reaching time.The remarkable merits of the designed strategy are that the relative distance controlling error can be guaranteed to evolve within specified regions with a designer-specified convergence behavior.Meanwhile,wind perturbations can be online counteracted based on an unknown system dynamics estimator(USDE)with only one regulating parameter and high computational efficiency.Lyapunov tool demonstrates that all involved error variables are ultimately limited,and simulations are implemented to confirm the usability of the suggested control algorithm.
基金Supported by the Science Foundation of North University of China(No 200905)the Natural Science Foundation of Shanxi Education Department(No 20100509zx).
文摘We present a novel method for heightening the sensitivity of a prism coupler-based surface plasmon resonance(SPR)sensor.The method is based on the total reflection prism made of BK7 glass combined with the Kretschmann geometry of theattenuated total reflection(ATR)method.Compared to the conventional methods of prism coupler-based SPR,the novel method provides higher sensitivity to the measurement system.Theoretical simulations show that the detection sensitivity to the refractive index(RI)of the sensor based on the novel approach has a strong dependence on the thickness of the metal layer.The RI resolution of the sensor is predicted to be 8×10^(-7)refractive index units(RIU)under the condition of optimum metal film thickness.This novel method can leave out a precision angle rotation device in the angle modulation and it is unnecessary to adjust the acceptance angle of the light detector.The principal advantage of this method over other methods of light intensity modulation based on prism coupler-based SPR is high sensitivity,expediency to measure and application of long distances.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 50775209 and 50730009)
文摘This paper discusses the Ⅰ-Ⅴ property of the GaAs-based resonant tunnelling structure(RTS) under external uniaxial pressure by photoluminescence studies.Compressive pressure parallel to the [110] direction,whose value is determined by Hooke's law,is imposed on the sample by a helix micrometer.With the increase of the applied external uniaxial compressive pressure,the blue shift and splitting of the luminescence peaks were observed,which have some influence on the I-V curve of RTS from the point of view of the energy gap,and the splitting became more apparent with applied pressure.Full width at half maximum broadening could also be observed.
基金Supported by the National Natural Science Foundation of China under Grant No 60776062, the Natural Science Foundation of Shanxi Province under Grant No 206011010, and the Youth Foundation of North University of China under Grant No 200605.
基金Project supported by the National Natural Science Foundation of China (Grant No. 61771467)Shanxi Scholarship Council of China (Grant No. 2020-112)+1 种基金Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi, China (Grant Nos. 2020L0268 and 2020L0307)Science Foundation of North University of China (Grant No. XJJ201915)。
文摘Graphene has high light transmittance of 97.7% and ultrafast carrier mobility, which means it has attracted widespread attention in two-dimensional materials. However, the optical absorptivity of single-layer graphene is only 2.3%, and the corresponding photoresponsivity is difficult to produce at normal light irradiation. And the low on–off ratio resulting from the zero bandgap makes it unsuitable for many electronic devices, hindering potential development. The graphene-based heterojunction composed of graphene and other materials has outstanding optical and electrical properties, which can mutually modify the defects of both the graphene and material making it then suitable for optoelectronic devices. In this review,the advantages of graphene-based heterojunctions in the enhancement of the performance of photodetectors are reviewed.Firstly, we focus on the photocurrent generation mechanism of a graphene-based heterojunction photodetector, especially photovoltaic, photoconduction and photogating effects. Secondly, the classification of graphene-based heterojunctions in different directions is summarized. Meanwhile, the latest research progress of graphene-transition metal dichalcogenide(TMD) heterojunction photodetectors with excellent performance in graphene-based heterostructures is introduced. Finally,the difficulties faced by the existing technologies of graphene-based photodetectors are discussed, and further prospects are proposed.
基金the North University of China and the National Natural Science Foundation of China (No50535030) for financial support to this work
文摘NiFe2O4 nanorods have been successfully synthesized via thermal treatment of the rod-like precursor fabricated by Ni-doped α-FeOOH,which was enwrapped by the complex of citric acid and Ni2+.The morphology evolution during the calcination of the precursor nanorods was investigated with transmission electron microscopy(TEM),and the phase and the magnetic properties of samples were analyzed through X-ray diffraction(XRD) and vibrating sample magnetometer(VSM).The results indicated that the diameter of the NiFe2O4 nanorods obtained ranged between 30 and 50 nm,and the length ranged between 2 and 3 μm.As the calcination temperature was up to 600℃,the coercivity,saturation magnetization,and remanent magnetization of the samples were 36.1 kA·m-1,27.2 A·m2·kg-1,and 5.3 A·m2·kg-1,respectively.The NiFe2O4 nanorods prepared have higher shape anisotropy and superior magnetic properties than those with irregular shapes.
文摘The modification of Fe-14Mn-5Si-9Cr-5Ni shape memory alloys(SMAs) by copper addition was carried out, aiming at further enhancing its corrosion resistance. The results of electrochemical potentiodynamic measurement and immersion test show that copper can remarkably improve the corrosion resistance in Cl- solution. Otherwise, it is found that copper cannot markedly affect the mechanical properties nor the shape memory effect(SME). As for the effects of copper on Fe-Mn-Si based alloys, the austenite strengthening is one of the key factors to improve SME.
基金supported by National Key Laboratory for Electronic Measurement and Technology(No.9140C120401080C12)
文摘Taking the accelerometer installation errors into consideration,the attitude optimization algorithm of Gyro Free Inertial Measurement Unit(GFIMU)is studied in the high spinning condition in this paper.A ten-accelerometer configuration is designed so as to establish a mathematical model to acquire the angular speeds in the case of installation errors.Precision of the algorithm is evaluated by using damping Gauss-Newton method.A large amount of simulation results show that if the accelerometer’s angle-installation errors maintain small(<5°),the errors of attitude angles can be limited within ±1°.Hence,the algorithm has a great applicable value in engineering.
文摘AZ31 magnesium alloys were hot-extruded at 573 K and 623 K with extrusion ratio(λ) of 20,35 and 50.The corrosion and mechanical behavior of hot-extruded AZ31 were studied by galvanic tests and tensile tests.The microstructures of the studied AZ31 alloys were also investigated with optical microscope.The results show that,compared with the as-cast AZ31 alloy,the corrosion potentials of all hot-extruded AZ31 alloys are increased by 60 mV.Moreover,at the extrusion temperature of 623 K,the galvanic current of AZ31 alloy decreases with increasing extrusion and the galvanic corrosion resistance is increased by 10%with the extrusion ratio of 50.In addition,the tensile strength and elongation of the extruded alloys are significantly enhanced by about 20%and 140%,respectively.The improvement of corrosion resistance and obvious increasing of mechanical properties of AZ31 alloys by hot-extrusion are ascribed to grain refinement and microstructural modification together with the homogeneous distribution of intermetallic phases throughout the matrix.
基金Supported by the International Science and Technology Cooperation Program of China under Grant Nos 2013DFR10150 and 2012DFA10680, the National Natural Science Foundation of China under Grant Nos 61127015, 11004200 and 11274315, and the International Science and Technology Cooperation Program of Shanxi under Grant No 2012081029.
基金Sponsored by the National Defense Science and Technology Laboratory Foundation (9140C3601130802)
文摘Pulse laser range detector is to measure the distance by estimating the time delay between the emitting pulse and echo pulse.In this paper,a mathematical model for the target echo signal of laser fuze has been established;in accordance with this model,the formulas for echo time-delay estimation and for amplitude estimation based on least squares criterion have been deduced.It is argued and simulated that the resolution of echo time-delay estimation could be improved through multi-reference correlation approach.Experiments illustrate that the approach enables pulsed laser fuze to perform high-precision ranging under a low signal-to-noise ratio condition.
文摘The influences of deformation temperature and deformation degree on the microstructure and mechanical properties of AZ80 magnesium alloy were investigated by the adoption of isothermal plain strain compression experiment.The results show that thermal compression processing can refine the grain size and the tensile strength of all the deformed AZ80 magnesium alloys is increased to the maximum of 320 MPa.With the increasing of deformation temperature,the tensile strength decreases;with the increasing of the deformation degree,the tensile strength increases significantly in the temperature range of 200-300℃and becomes stable at temperature higher than 300℃.During the compression processing of AZ80 magnesium alloys,at lower temperature (<300℃),dynamic recrystallization is incomplete and a certain hardening effect is preserved,which makes great effect of deformation degree on the properties.At higher temperature(>300℃),dynamic recrystallization is complete and refined grain strengthening is dominant,leading to little effect of deformation degree on mechanical properties.
基金Supported by the Key Project of the National Natural Science Foundation of China under Grant No 60532080, and the Natural Science Foundation of Shanxi Province under Grant No 2007012003.
基金Project supported by the National Natural Science Foundation of China (Grant Nos 50405025 and 50535030)the Program for New Century Excellent Talents in University
文摘Photoluminescence (PL) spectroscopy and photoreflectance (PR) spectroscopy are very useful techniques for studying the properties of materials.In this paper,the same material of Cu-rich metal-organic vapour phase epitaxy (MOVPE) grown CuGaSe 2 layer is investigated in a temperature range from 20 to 300 K to compare these two techniques.Both PL and PR spectra appear red shifted,less intense and broadened.The temperature dependence of interband transitions is studied by using the Manoogian-Leclerc equation.The values of the band gap energy at T =0 K and the effective phonon temperature are estimated.The temperature dependences of intensities and broadenings of PL and PR spectral lines are also analysed.Based on the results of the comparison,the features and applications of the PL and PR can be shown in detail.
基金Project supported by the National Natural Science Foundation of China (Grant Nos 50405025 and 50535030)Program for New Century Excellent Talents in University, China
文摘Hexagonal GaN epilayer grown on sapphire substrate by metal organic chemical vapour deposition (MOCVD) is studied using Raman scattering and photoluminescence in a temperature range from 100 K to 873 K. The model of strain (stress) induced by the different lattice parameters and thermal coefficients of epilayer and substrate as a function of temperature is set up. The frequency and the linewidth of E high 2 mode in a GaN layer are modelled by a theory with considering the thermal expansion of the lattice, a symmetric decay of the optical phonons, and the strain (stress) in the layer. The temperature-dependent energy shift of free exciton A is determined by using Varshni empirical relation, and the effect of strain (stress) is also investigated. We find that the strain in the film leads to a decreasing shift of the phonon frequency and an about 10meV-increasing shift of the energy in a temperature range from 100 K to 823 K.