Ultra-high spectral purity lasers are of considerable research interests in numerous fields such as coherent optical communication,microwave photonics,distributed optical fiber sensing,gravitational wave detection,opt...Ultra-high spectral purity lasers are of considerable research interests in numerous fields such as coherent optical communication,microwave photonics,distributed optical fiber sensing,gravitational wave detection,optical clock,and so on.Herein,to deeply purify laser spectrum with compact size under normal condition,we propose a novel and practical idea to effectively suppress the spontaneous radiation of the laser cavity through weak external distributed perturbation.Subsequently,a laser configuration consisting of a main lasing cavity and an external distributed feedback cavity is proposed.The feedback signal with continuous spatio-temporal phase transition controlled by a distributed feedback structure is injected into the main cavity,which can deeply suppress the coupling rate from the spontaneous radiation to the stimulated emission and extremely purify the laser spectrum.Eventually,an ultra-narrow linewidth on-chip laser system with a side mode suppression ratio greater than 80 dB,an output linewidth of 10 Hz,and a relative intensity noise less than-150 dB/Hz is successfully obtained under normal conditions.The proposed concept in this work provides a new perspective for extreme regulation of laser parameters by using weak external distributed perturbation,which can be valid for various gain-type lasers with wide wavelength bands.展开更多
This paper presents an analytical investigation of elastic collapse of asymmetrically corroded rings under external pressure when both internal corrosion and external corrosion exist.Governing equations are derived fo...This paper presents an analytical investigation of elastic collapse of asymmetrically corroded rings under external pressure when both internal corrosion and external corrosion exist.Governing equations are derived for membrane inextensible and membrane extensible cases;a full continuity condition is rigorously derived by the Euler-Bernoulli beam assumption.Comparison with finite element analysis(FEA)shows good agreement for load-displacement curves but membrane extensibility should be included to accurately predict the initial deformation phase,although the discrepancy for both the inextensible and extensible models vanishes for larger deformation phases.By the perturbation technique,the initial load-displacement slope is calculated,and extensive parametric analysis shows complicated dependency of this slope on the misalignment parameter and the angular extent of corrosion.We also present an infallible semi-analytical perturbation solution for both homogeneous and inhomogeneous cases by the Lyapunov arbitrary small-parameter method and show that the resulting power series always converges;then a mathematical argument of analyticity has been presented to illustrate that the so-called homotopy analysis method in the literature converges when the convergence controlling parameter is lying in(-2,0).This paper serves to enhance the understanding of asymmetrically corroded rings and it is mainly relevant to offshore engineering.展开更多
Based on Lyapunov stability theorem, a method is proposed for feedback synchronization with parameters perturbation and external disturbances. It is proved theoretically that if the perturbation and disturbances are b...Based on Lyapunov stability theorem, a method is proposed for feedback synchronization with parameters perturbation and external disturbances. It is proved theoretically that if the perturbation and disturbances are bounded, the synchronization error can be ensured to approach to and stay within the pre-specified bound which can be arbitrarily small. Some typical chaotic systems with different types of nonlinearity, such as Lorenz system and the original Chua’s circuit, are used for detailed description. The simulation results show the feasibility of the method.展开更多
基金supported by the National Natural Science Foundation of China(NSFC)(61635004)the National Science Fund for Distinguished Young Scholars(61825501)the Chongqing Natural Science Foundation of Innovative Research Groups under Grant(CSTC2020JCYJ,CXTTX0005)。
文摘Ultra-high spectral purity lasers are of considerable research interests in numerous fields such as coherent optical communication,microwave photonics,distributed optical fiber sensing,gravitational wave detection,optical clock,and so on.Herein,to deeply purify laser spectrum with compact size under normal condition,we propose a novel and practical idea to effectively suppress the spontaneous radiation of the laser cavity through weak external distributed perturbation.Subsequently,a laser configuration consisting of a main lasing cavity and an external distributed feedback cavity is proposed.The feedback signal with continuous spatio-temporal phase transition controlled by a distributed feedback structure is injected into the main cavity,which can deeply suppress the coupling rate from the spontaneous radiation to the stimulated emission and extremely purify the laser spectrum.Eventually,an ultra-narrow linewidth on-chip laser system with a side mode suppression ratio greater than 80 dB,an output linewidth of 10 Hz,and a relative intensity noise less than-150 dB/Hz is successfully obtained under normal conditions.The proposed concept in this work provides a new perspective for extreme regulation of laser parameters by using weak external distributed perturbation,which can be valid for various gain-type lasers with wide wavelength bands.
基金supported by the Natural Science Foundation of Zhejiang Province(No.LQ21E050001)the Science and Technology Plan Project of Zhejiang Bureau of Quality and Technical Supervision(No.20200307)Eyas Program Incubation Project of Zhejiang Provincial Administration for Market Regulation(No.CY2022221)China。
文摘This paper presents an analytical investigation of elastic collapse of asymmetrically corroded rings under external pressure when both internal corrosion and external corrosion exist.Governing equations are derived for membrane inextensible and membrane extensible cases;a full continuity condition is rigorously derived by the Euler-Bernoulli beam assumption.Comparison with finite element analysis(FEA)shows good agreement for load-displacement curves but membrane extensibility should be included to accurately predict the initial deformation phase,although the discrepancy for both the inextensible and extensible models vanishes for larger deformation phases.By the perturbation technique,the initial load-displacement slope is calculated,and extensive parametric analysis shows complicated dependency of this slope on the misalignment parameter and the angular extent of corrosion.We also present an infallible semi-analytical perturbation solution for both homogeneous and inhomogeneous cases by the Lyapunov arbitrary small-parameter method and show that the resulting power series always converges;then a mathematical argument of analyticity has been presented to illustrate that the so-called homotopy analysis method in the literature converges when the convergence controlling parameter is lying in(-2,0).This paper serves to enhance the understanding of asymmetrically corroded rings and it is mainly relevant to offshore engineering.
文摘Based on Lyapunov stability theorem, a method is proposed for feedback synchronization with parameters perturbation and external disturbances. It is proved theoretically that if the perturbation and disturbances are bounded, the synchronization error can be ensured to approach to and stay within the pre-specified bound which can be arbitrarily small. Some typical chaotic systems with different types of nonlinearity, such as Lorenz system and the original Chua’s circuit, are used for detailed description. The simulation results show the feasibility of the method.
