A wide range of mechanical systems have gaps, cracks, intermittent contact or other geometrical discontinuities while simultaneously experiencing Coulomb friction. A piecewise linear model with discontinuous force elements is discussed in this paper that has the capability to accurately emulate the behavior of such mechanical assemblies. The mathematical formulation of the model is standardized via a universal differential inclusion and its behavior, in different scenarios, is studied. In addition to the compatibility of the proposed model with numerous industrial systems, the model also bears significant scientific value since it can demonstrate a wide spectrum of motions, ranging from periodic to chaotic. Furthermore, it is demonstrated that this class of models can generate a rare type of motion, called weakly chaotic motion. After their detailed introduction and analysis, an efficient hybrid symbolic-numeric computational method is introduced that can accurately obtain the arbitrary response of this class of nonlinear models. The proposed method is capable of treating high dimensional systems and its proposition omits the need for utilizing model reduction techniques for a wide range of problems. In contrast to the existing literature focused on improving the computational performance when analyzing these systems when there is a periodic response, this method is able to capture transient and non-stationary dynamics and is not restricted to only steady state periodic responses.
{"title":"Efficient Hybrid Symbolic-Numeric Computational Method for Piecewise Linear Systems with Coulomb Friction","authors":"Amirhosein Shahhosseini, Meng-Hsuan Tien, Kiran D’Souza","doi":"10.2139/ssrn.3940122","DOIUrl":"https://doi.org/10.2139/ssrn.3940122","url":null,"abstract":"\u0000 A wide range of mechanical systems have gaps, cracks, intermittent contact or other geometrical discontinuities while simultaneously experiencing Coulomb friction. A piecewise linear model with discontinuous force elements is discussed in this paper that has the capability to accurately emulate the behavior of such mechanical assemblies. The mathematical formulation of the model is standardized via a universal differential inclusion and its behavior, in different scenarios, is studied. In addition to the compatibility of the proposed model with numerous industrial systems, the model also bears significant scientific value since it can demonstrate a wide spectrum of motions, ranging from periodic to chaotic. Furthermore, it is demonstrated that this class of models can generate a rare type of motion, called weakly chaotic motion.\u0000 After their detailed introduction and analysis, an efficient hybrid symbolic-numeric computational method is introduced that can accurately obtain the arbitrary response of this class of nonlinear models. The proposed method is capable of treating high dimensional systems and its proposition omits the need for utilizing model reduction techniques for a wide range of problems. In contrast to the existing literature focused on improving the computational performance when analyzing these systems when there is a periodic response, this method is able to capture transient and non-stationary dynamics and is not restricted to only steady state periodic responses.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130627672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Haiping Li, R. Tian, Qiang Xue, Yangkun Zhang, Xiaolong Zhang
Based on the rectification of detectable domain method and elimination of blind domain method, the variable scale-convex-peak method for the identification frequency of weak signal is improved. For the initial phase of weak signal to be detected, the analytic expression of chaotic threshold is obtained by using stochastic Melnikov method. The influence of phase on chaotic threshold is clarified, which leads to that the frequency of weak signal can be identified. Specifically, the initial phase in a period is divided into the detectable domain and the blind domain. In the detectable domain, when the frequency identification deviates, the rectification of detectable domain method is introduced. Specifically, the Newton interpolation method is used to give the calculation formula to rectify the deviation, which improves the accuracy of frequency identification. In the blind domain, the elimination of blind domain method is given by constructing the detection equations. The feasibility of the improved variable scale-convex-peak method is verified by numerical simulation and circuit experiment. Furthermore, by comparing the identified frequency value with the theoretical fault frequency value, the fault location of the wheelset bearing of high-speed train is determined. The improved variable scale-convex-peak method is applied when the initial phase is in the frequency detectable domain or the blind domain, respectively. The accuracy of the detection effect can be 96.69%, and the minimum signal-to-noise ratio(SNR) can be - 50.8757dB.
{"title":"Improved Variable Scale-Convex-Peak Method for Weak Signal Detection","authors":"Haiping Li, R. Tian, Qiang Xue, Yangkun Zhang, Xiaolong Zhang","doi":"10.2139/ssrn.3946841","DOIUrl":"https://doi.org/10.2139/ssrn.3946841","url":null,"abstract":"Based on the rectification of detectable domain method and elimination of blind domain method, the variable scale-convex-peak method for the identification frequency of weak signal is improved. For the initial phase of weak signal to be detected, the analytic expression of chaotic threshold is obtained by using stochastic Melnikov method. The influence of phase on chaotic threshold is clarified, which leads to that the frequency of weak signal can be identified. Specifically, the initial phase in a period is divided into the detectable domain and the blind domain. In the detectable domain, when the frequency identification deviates, the rectification of detectable domain method is introduced. Specifically, the Newton interpolation method is used to give the calculation formula to rectify the deviation, which improves the accuracy of frequency identification. In the blind domain, the elimination of blind domain method is given by constructing the detection equations. The feasibility of the improved variable scale-convex-peak method is verified by numerical simulation and circuit experiment. Furthermore, by comparing the identified frequency value with the theoretical fault frequency value, the fault location of the wheelset bearing of high-speed train is determined. The improved variable scale-convex-peak method is applied when the initial phase is in the frequency detectable domain or the blind domain, respectively. The accuracy of the detection effect can be 96.69%, and the minimum signal-to-noise ratio(SNR) can be - 50.8757dB.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":" March","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113946856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper considers pricing of European-style vulnerable options under the Heston stochastic volatility and stochastic interest rate model in which the mean-reversion levels of both variance and interest rate processes are modulated by a continuous-time Markov process with a finite state space. An analytical pricing formula is derived by using the Esscher transform, joint characteristic function and multivariate Fourier transform technique, where the closed-form solution of the characteristic function is obtained by the law of iterated expectation. Then we provide the efficient approximation to calculate the analytical pricing formula of option using the FFT approach and examine the accuracy of the approximation by Monte Carlo simulation. Finally, the sensitivity analysis of different parameters in the proposed model on the vulnerable call option price and its Delta value are provided, and the difference between the proposed model and the Heston and stochastic interest rate model with non-Markov regime-switching are presented by some numerical experiments, which shows the influence of introducing regime-switching into Heston model with stochastic interest rate.
{"title":"Vulnerable European Option Pricing in a Markov Regime-Switching Heston Model with Stochastic Interest Rate","authors":"Yurong Xie, G. Deng","doi":"10.2139/ssrn.3934307","DOIUrl":"https://doi.org/10.2139/ssrn.3934307","url":null,"abstract":"This paper considers pricing of European-style vulnerable options under the Heston stochastic volatility and stochastic interest rate model in which the mean-reversion levels of both variance and interest rate processes are modulated by a continuous-time Markov process with a finite state space. An analytical pricing formula is derived by using the Esscher transform, joint characteristic function and multivariate Fourier transform technique, where the closed-form solution of the characteristic function is obtained by the law of iterated expectation. Then we provide the efficient approximation to calculate the analytical pricing formula of option using the FFT approach and examine the accuracy of the approximation by Monte Carlo simulation. Finally, the sensitivity analysis of different parameters in the proposed model on the vulnerable call option price and its Delta value are provided, and the difference between the proposed model and the Heston and stochastic interest rate model with non-Markov regime-switching are presented by some numerical experiments, which shows the influence of introducing regime-switching into Heston model with stochastic interest rate.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124406049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ran Li, Junqiao Wang, Mengke Ren, Wenhan Zhao, Mengyue He, Shuai Sun, Yu Mao, Shuo Tian, Yan Li, P. Ding
By changing or fine-tuning the surface structure of the metal, the characteristics of surface plasmon-especially the interaction with light-can be customized. In this work, we numerically design a plasmonic nanostructure composed of a pair of symmetrical bifurcation nanostructures. The composite nanostructure has significantly enhanced optical absorption, and a sharp groove is generated in the scattering spectrum due to the plasmon mode hybridization. The extremely intense and highly confined electromagnetic fields induced in the bifurcation plasmon nanostructures provide a sensitive environment to probe minor changes in the dielectric environment, and the simulation result shows that the average sensitivity is about 699 nm/RIU with the refractive indices from 1.332 to 1.467. Such high-performance composite nanostructure provides great potential for the application of SERS probing and label-free biosensing.
{"title":"Resonantly Enhanced Absorption in Bifurcation Plasmon Nanostructures for Refractive Index Sensing","authors":"Ran Li, Junqiao Wang, Mengke Ren, Wenhan Zhao, Mengyue He, Shuai Sun, Yu Mao, Shuo Tian, Yan Li, P. Ding","doi":"10.2139/ssrn.3947716","DOIUrl":"https://doi.org/10.2139/ssrn.3947716","url":null,"abstract":"By changing or fine-tuning the surface structure of the metal, the characteristics of surface plasmon-especially the interaction with light-can be customized. In this work, we numerically design a plasmonic nanostructure composed of a pair of symmetrical bifurcation nanostructures. The composite nanostructure has significantly enhanced optical absorption, and a sharp groove is generated in the scattering spectrum due to the plasmon mode hybridization. The extremely intense and highly confined electromagnetic fields induced in the bifurcation plasmon nanostructures provide a sensitive environment to probe minor changes in the dielectric environment, and the simulation result shows that the average sensitivity is about 699 nm/RIU with the refractive indices from 1.332 to 1.467. Such high-performance composite nanostructure provides great potential for the application of SERS probing and label-free biosensing.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132190432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In order to explore the capture of two types of particles with different refractive-indexes with focused partially coherent Lommel-Gaussian beam (PCLGB), we numerically derived the expressions of the intensity, and its distribution is also simulated. We found that the focused PCLGB is able to capture two high refractive-index particles at different positions on the focal plane and a low refractive-index particle at the focus, respectively. when the orbital angular momentum（OAM）quantum number, lens focal length, asymmetry parameter decreased, and the spatial correlation length and beam waist increased, the transverse gradient force of the focused PCLGB increased; when the OAM quantum number, lens focal length, asymmetry parameter, spatial correlation length decreased and the beam waist increased, the axial gradient force and scattering force of the focused PCLGB increased. We can choose the optimum optical and lens parameters, a large range and stable trapping can be achieved. The obtained results have certain reference value for the focused PCLGB applied in micromanipulation technology and biotechnology.
{"title":"Optical Trapping Force on Two Types of Particles with a Focused Partially Coherent Lommel-Gaussian Beam","authors":"Wen Zuo, Yannan Han, Zhengxian Zhou, Hua-Feng Xu, Zhenglan Zhou, Qu Jun","doi":"10.2139/ssrn.3934344","DOIUrl":"https://doi.org/10.2139/ssrn.3934344","url":null,"abstract":"In order to explore the capture of two types of particles with different refractive-indexes with focused partially coherent Lommel-Gaussian beam (PCLGB), we numerically derived the expressions of the intensity, and its distribution is also simulated. We found that the focused PCLGB is able to capture two high refractive-index particles at different positions on the focal plane and a low refractive-index particle at the focus, respectively. when the orbital angular momentum（OAM）quantum number, lens focal length, asymmetry parameter decreased, and the spatial correlation length and beam waist increased, the transverse gradient force of the focused PCLGB increased; when the OAM quantum number, lens focal length, asymmetry parameter, spatial correlation length decreased and the beam waist increased, the axial gradient force and scattering force of the focused PCLGB increased. We can choose the optimum optical and lens parameters, a large range and stable trapping can be achieved. The obtained results have certain reference value for the focused PCLGB applied in micromanipulation technology and biotechnology.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129483170","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Maged Faihan Alotibi, E. Khalil, S. Abdel-Khalek, M. Y. Abd-Rabbou, M. Omri
This paper studies the dynamic effects of the driven external classical field on a system consists of a single two-level atom that interacted locally with a vibrating graphene membrane and a cavity field. The temporal wave function containing the tripartite interaction statuses via a canonical transformation and new resonance conditions is obtained. The possibility of studying the optimal behaviour of the quantum coherence and non-classicality for the graphene-field, atom-field, and atom-graphene states are investigated. It is found that the upper and lower bounds of the two phenomena depend on the detuning parameter, coupling strength of atom-graphene interaction, and initial atomic state. Based on the support of numerical computations, we demonstrate how to control the quantum system by the vibrating graphene membrane and the driven classical field.
{"title":"Effects of the Vibrating Graphene Membrane and the Driven Classical Field on an Atomic System Coupled to a Cavity Field","authors":"Maged Faihan Alotibi, E. Khalil, S. Abdel-Khalek, M. Y. Abd-Rabbou, M. Omri","doi":"10.2139/ssrn.3944524","DOIUrl":"https://doi.org/10.2139/ssrn.3944524","url":null,"abstract":"This paper studies the dynamic effects of the driven external classical field on a system consists of a single two-level atom that interacted locally with a vibrating graphene membrane and a cavity field. The temporal wave function containing the tripartite interaction statuses via a canonical transformation and new resonance conditions is obtained. The possibility of studying the optimal behaviour of the quantum coherence and non-classicality for the graphene-field, atom-field, and atom-graphene states are investigated. It is found that the upper and lower bounds of the two phenomena depend on the detuning parameter, coupling strength of atom-graphene interaction, and initial atomic state. Based on the support of numerical computations, we demonstrate how to control the quantum system by the vibrating graphene membrane and the driven classical field.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"183 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123262250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Muhammad Syauqi Kusyairi Jamalus, A. Sulaiman, F. Abdullah, N. Zulkifli, M. Alresheedi, M. Mahdi, Nelidya Md Yusoff
This paper demonstrates a tunable wavelength spacing of thulium-doped fiber laser (TDFL) based on a parallel Lyot filter. An intensity-dependent loss (IDL) mechanism acts as an amplitude equalizer to flatten and stabilize the multiwavelength spectrum. The IDL mechanism is obtained at a certain polarization state from the combination of highly nonlinear fiber and polarizer. The wavelength spacing of the TDFL can be tuned to either 0.9 nm or 1.8 nm when the polarization controllers (PCs) in each branch of the parallel Lyot filter are adjusted. The wavelength spacing is tuned by adjusting both PC2 and PC3 to suppress or transmit the light at each branch. Up to 4 and 9 lasing lines are generated based on wavelength spacing of 0.9 nm and 1.8 nm, respectively. Lower pump power has disappeared lasing lines, while different half-wave plate angle of PC has shown variation the laser performances.
{"title":"Tunable Multiwavelength Thulium-Doped Fiber Laser Based on Parallel Lyot Filter","authors":"Muhammad Syauqi Kusyairi Jamalus, A. Sulaiman, F. Abdullah, N. Zulkifli, M. Alresheedi, M. Mahdi, Nelidya Md Yusoff","doi":"10.2139/ssrn.3931776","DOIUrl":"https://doi.org/10.2139/ssrn.3931776","url":null,"abstract":"This paper demonstrates a tunable wavelength spacing of thulium-doped fiber laser (TDFL) based on a parallel Lyot filter. An intensity-dependent loss (IDL) mechanism acts as an amplitude equalizer to flatten and stabilize the multiwavelength spectrum. The IDL mechanism is obtained at a certain polarization state from the combination of highly nonlinear fiber and polarizer. The wavelength spacing of the TDFL can be tuned to either 0.9 nm or 1.8 nm when the polarization controllers (PCs) in each branch of the parallel Lyot filter are adjusted. The wavelength spacing is tuned by adjusting both PC2 and PC3 to suppress or transmit the light at each branch. Up to 4 and 9 lasing lines are generated based on wavelength spacing of 0.9 nm and 1.8 nm, respectively. Lower pump power has disappeared lasing lines, while different half-wave plate angle of PC has shown variation the laser performances.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129241593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A four-component magnetized collisional superthermal opposite polarity dusty plasma (OPDP), containing stationary dust grains of opposite charges, inertial ion fluid, and non-inertial superthermal electrons, has been considered to study different modes of dust-ion-acoustic waves (DIAWs) theoretically and numerically. In addition, the collisional effect between ion and neutral particles and the temperature effect of adiabatic warm ions have been taken into account to draw a more generalized picture of DIAWs. To investigate the growth, evaluation, propagation, and fundamental features (e.g., speed, amplitude, energy, width, etc.) of DIAWs, the reductive perturbation theory has been employed to derive the damped Zakharov-Kuznetsov-Burgers (dZKB) equation, and the hyperbolic tangent method is adopted to find the solution of dZKB equation. The fundamental attributes of DIAWs are seen to be affected significantly due to the variation of basic plasma parameters (e.g., adiabaticity, superthermality, viscosity, ion temperature, obliquity angle, magnetic field intensity, the amount of charge residing onto the dust grains, ion-neutral collision frequency, etc.). In addition, the coexistence of oppositely charged dust grains has a notable effect on the dynamics of linear and nonlinear DIAWs, which has been established in the bifurcation analysis. The polarity of the DIAWs changes if the amount of positive charge on dust is excessively greater than that of negative charge and vice versa. The findings of this research work may be apply to examine the properties of DIAWs in experimental and space dusty plasmas, where the opposite polarity dust grains are present, adiabatic thermal pressure of warm ion and damping due to ion-neutral collision are accountable.
{"title":"Nonlinear Dynamics of Dust-Ion-Acoustic Waves in Magnetized Collisional Opposite Polarity Dusty Plasmas","authors":"Md. Rakib Hassan, S. Biswas, K. Habib, S. Sultana","doi":"10.2139/ssrn.3931775","DOIUrl":"https://doi.org/10.2139/ssrn.3931775","url":null,"abstract":"A four-component magnetized collisional superthermal opposite polarity dusty plasma (OPDP), containing stationary dust grains of opposite charges, inertial ion fluid, and non-inertial superthermal electrons, has been considered to study different modes of dust-ion-acoustic waves (DIAWs) theoretically and numerically. In addition, the collisional effect between ion and neutral particles and the temperature effect of adiabatic warm ions have been taken into account to draw a more generalized picture of DIAWs. To investigate the growth, evaluation, propagation, and fundamental features (e.g., speed, amplitude, energy, width, etc.) of DIAWs, the reductive perturbation theory has been employed to derive the damped Zakharov-Kuznetsov-Burgers (dZKB) equation, and the hyperbolic tangent method is adopted to find the solution of dZKB equation. The fundamental attributes of DIAWs are seen to be affected significantly due to the variation of basic plasma parameters (e.g., adiabaticity, superthermality, viscosity, ion temperature, obliquity angle, magnetic field intensity, the amount of charge residing onto the dust grains, ion-neutral collision frequency, etc.). In addition, the coexistence of oppositely charged dust grains has a notable effect on the dynamics of linear and nonlinear DIAWs, which has been established in the bifurcation analysis. The polarity of the DIAWs changes if the amount of positive charge on dust is excessively greater than that of negative charge and vice versa. The findings of this research work may be apply to examine the properties of DIAWs in experimental and space dusty plasmas, where the opposite polarity dust grains are present, adiabatic thermal pressure of warm ion and damping due to ion-neutral collision are accountable.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"57 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114935030","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Fen Tang, Xiangbo Yang, Xiaomin Wang, Yao Zhang, D. Deng, Hongzhan Liu, Zhongchao Wei
In this paper, a class of one-dimensional (1D) Fibonacci quasi-periodic multilayers composed of two parity-time-symmetric (PT -symmetric) elements are designed. Their scattering spectra, transparencies, invisibilities, and other singular optical properties are investigated in detail. It is found that three types of new systematic phases, ten types of new unidirectional transparencies, two types of new bidirectional transparencies and one type of new bidirectional invisibility are created by this class of interesting systems, which possess more types compared with the PT -symmetric periodic multilayers and the Thue-Morse multilayers composed of PT -symmetric elements. It can be seen that although the order degree of the Fibonacci multilayers is lower than that of the other two systems, their types of systematic phases, transparencies, and invisibilities are obtained, their types of systematic phases, transparencies, and invisibilities are more abundant. This proves that, as the order degree of the PT -symmetric system decreases, its types of singular optical properties become more abundant. This work sheds some light on the PT -symmetric optical structures and Fibonacci sequence, offering the possibility to widen their application field. Moreover, it provides a theoretical basis to design new optical devices.
{"title":"Singular Optical Characteristics Generated by Fibonacci Multilayers Composed of PT-Symmetric Elements","authors":"Fen Tang, Xiangbo Yang, Xiaomin Wang, Yao Zhang, D. Deng, Hongzhan Liu, Zhongchao Wei","doi":"10.2139/ssrn.3931773","DOIUrl":"https://doi.org/10.2139/ssrn.3931773","url":null,"abstract":"In this paper, a class of one-dimensional (1D) Fibonacci quasi-periodic multilayers composed of two parity-time-symmetric (PT -symmetric) elements are designed. Their scattering spectra, transparencies, invisibilities, and other singular optical properties are investigated in detail. It is found that three types of new systematic phases, ten types of new unidirectional transparencies, two types of new bidirectional transparencies and one type of new bidirectional invisibility are created by this class of interesting systems, which possess more types compared with the PT -symmetric periodic multilayers and the Thue-Morse multilayers composed of PT -symmetric elements. It can be seen that although the order degree of the Fibonacci multilayers is lower than that of the other two systems, their types of systematic phases, transparencies, and invisibilities are obtained, their types of systematic phases, transparencies, and invisibilities are more abundant. This proves that, as the order degree of the PT -symmetric system decreases, its types of singular optical properties become more abundant. This work sheds some light on the PT -symmetric optical structures and Fibonacci sequence, offering the possibility to widen their application field. Moreover, it provides a\u2028theoretical basis to design new optical devices.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134021460","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Huangxuan Zhao, Jia Huang, Ningbo Chen, Leqing Chen, Chengbo Liu, Chuansheng Zheng, Fan Yang
Photoacoustic tomography is a highly sensitive modality for imaging optical absorption contrast in biological tissues over a range of spatial scales at high speed. Over the past decade, the quality of photoacoustic imaging has improved by multiple folds, but it still cannot meet the needs of clinical application. One main challenge is related to the 3D PAI data set where substantial variance in signal intensity and signal-to-noise ratio exists at different depths, making it difficult to automate the data analysis. Here we propose a Hessian matrix-based three-dimensional context encoder network to analysis of 3D data set. With superior generalization ability, 3D PAI in humans and animals were simultaneously enhancement and segmentation with significantly improved. Furthermore, wide-field and ultra-dense exogenous 3D PAI of mouse brain vasculature were enhanced and segmented for the first time. Therefore, we believe the proposed technique would enable new clinical application and basic research in photoacoustic imaging.
{"title":"HM-3DCE-Net for Superior 3D Photoacoustic Imaging Enhancement and Segmentation","authors":"Huangxuan Zhao, Jia Huang, Ningbo Chen, Leqing Chen, Chengbo Liu, Chuansheng Zheng, Fan Yang","doi":"10.2139/ssrn.3948474","DOIUrl":"https://doi.org/10.2139/ssrn.3948474","url":null,"abstract":"Photoacoustic tomography is a highly sensitive modality for imaging optical absorption contrast in biological tissues over a range of spatial scales at high speed. Over the past decade, the quality of photoacoustic imaging has improved by multiple folds, but it still cannot meet the needs of clinical application. One main challenge is related to the 3D PAI data set where substantial variance in signal intensity and signal-to-noise ratio exists at different depths, making it difficult to automate the data analysis. Here we propose a Hessian matrix-based three-dimensional context encoder network to analysis of 3D data set. With superior generalization ability, 3D PAI in humans and animals were simultaneously enhancement and segmentation with significantly improved. Furthermore, wide-field and ultra-dense exogenous 3D PAI of mouse brain vasculature were enhanced and segmented for the first time. Therefore, we believe the proposed technique would enable new clinical application and basic research in photoacoustic imaging.","PeriodicalId":375434,"journal":{"name":"PhysicsRN EM Feeds","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134285745","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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