The Experts below are selected from a list of 54849 Experts worldwide ranked by ideXlab platform
Paiyen Chen - One of the best experts on this subject based on the ideXlab platform.
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generalized Parametric Space parity symmetry of reflection and systematic design approach for parity time symmetric photonic systems
Physical Review A, 2021Co-Authors: Jeng Yi Lee, Paiyen ChenAbstract:Based on the reciprocity theorem, we put forward a generalized Parametric Space for arbitrary transfer matrix with parity-time (PT) symmetry. Through this Parametric Space, one can extract complete information involving PT-symmetric phases, reflectances, transmittances, and known extraordinary scattering phenomena. We demonstrate a PT-symmetric heterostructure with coherent perfect absorption-lasing, anisotropic transmission resonance, and parity symmetry of reflection coefficients at the frequencies of interest. In addition, with the Parametric Space and the analytical formula, the corresponding complex dielectric permittivities for a simple PT-symmetric system made of a gain, an air gap, and a loss media in deeply subwavelength is derived to achieve various exotic PT-symmetric functionality. This work could offer an alternative route to design versatile optical and photonic PT-symmetric devices.
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generalized Parametric Space parity symmetry of reflection and systematic design approach for parity time symmetric photonic systems
arXiv: Optics, 2021Co-Authors: Jeng Yi Lee, Paiyen ChenAbstract:Based on the reciprocity theorem, we put forward a generalized Parametric Space for an arbitrary transfer matrix with parity time (PT) symmetry. Through this Space, one can extract complete information involving PT phases, reflectances, transmittance and known extraordinary scattering phenomena. We demonstrate a PT heterostructure with coherent perfect absorption-lasing, anisotropic transmission resonance, and parity symmetry of reflection coefficients at the frequencies of interest. In addition, with the Parametric Space and the analytical formula, the corresponding complex dielectric permittivities for a simple PT system made of a gain, a gap, and a loss media in deeply subwavelength is derived to achieve various exotic PT functionality. This work could offer an alternative route to design versatile optical and photonic PT devices.
Vivek Dua - One of the best experts on this subject based on the ideXlab platform.
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multi Parametric mixed integer linear programming under global uncertainty
Computers & Chemical Engineering, 2018Co-Authors: Vassilis M Charitopoulos, Lazaros G Papageorgiou, Vivek DuaAbstract:Major application areas of the process systems engineering, such as hybrid control, scheduling and synthesis can be formulated as mixed integer linear programming (MILP) problems and are naturally susceptible to uncertainty. Multi-Parametric programming theory forms an active field of research and has proven to provide invaluable tools for decision making under uncertainty. While uncertainty in the right-hand side (RHS) and in the objective function's coefficients (OFC) have been thoroughly studied in the literature, the case of left-hand side (LHS) uncertainty has attracted significantly less attention mainly because of the computational implications that arise in such a problem. In the present work, we propose a novel algorithm for the analytical solution of multi-Parametric MILP (mp-MILP) problems under global uncertainty, i.e. RHS, OFC and LHS. The exact explicit solutions and the corresponding regions of the Parametric Space are computed while a number of case studies illustrates the merits of the proposed algorithm.
Jin Sun - One of the best experts on this subject based on the ideXlab platform.
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Flow regime transitions in dense non-Brownian suspensions: Rheology, microstructural characterization, and constitutive modeling
Physical Review E - Statistical Nonlinear and Soft Matter Physics, 2015Co-Authors: Christopher Ness, Jin SunAbstract:Shear flow of dense, non-Brownian suspensions is simulated using the discrete element method, taking particle contact and hydrodynamic lubrication into account. The resulting flow regimes are mapped in the Parametric Space of solid volume fraction, shear rate, fluid viscosity and particle stiffness. Below a critical volume fraction $\phi_c$, the rheology is governed by the Stokes number, which distinguishes between viscous and inertial flow regimes. Above $\phi_c$, a quasistatic regime exists for low and moderate shear rates. At very high shear rates, the $\phi$ dependence is lost and soft particle rheology is explored. The transitions between rheological regimes are associated with the evolving contribution of lubrication to the suspension stress. Transitions in microscopic phenomena such as inter-particle force distribution, fabric and correlation length are found to correspond to those in the macroscopic flow. Motivated by the bulk rheology, a constitutive model is proposed combining a viscous pressure term with a dry granular model presented by Chialvo, Sun and Sundaresan [Phys. Rev. E. \textbf{85}, 021305 (2012)]. The model is shown to successfully capture the flow regime transitions.
Jeng Yi Lee - One of the best experts on this subject based on the ideXlab platform.
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generalized Parametric Space parity symmetry of reflection and systematic design approach for parity time symmetric photonic systems
Physical Review A, 2021Co-Authors: Jeng Yi Lee, Paiyen ChenAbstract:Based on the reciprocity theorem, we put forward a generalized Parametric Space for arbitrary transfer matrix with parity-time (PT) symmetry. Through this Parametric Space, one can extract complete information involving PT-symmetric phases, reflectances, transmittances, and known extraordinary scattering phenomena. We demonstrate a PT-symmetric heterostructure with coherent perfect absorption-lasing, anisotropic transmission resonance, and parity symmetry of reflection coefficients at the frequencies of interest. In addition, with the Parametric Space and the analytical formula, the corresponding complex dielectric permittivities for a simple PT-symmetric system made of a gain, an air gap, and a loss media in deeply subwavelength is derived to achieve various exotic PT-symmetric functionality. This work could offer an alternative route to design versatile optical and photonic PT-symmetric devices.
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generalized Parametric Space parity symmetry of reflection and systematic design approach for parity time symmetric photonic systems
arXiv: Optics, 2021Co-Authors: Jeng Yi Lee, Paiyen ChenAbstract:Based on the reciprocity theorem, we put forward a generalized Parametric Space for an arbitrary transfer matrix with parity time (PT) symmetry. Through this Space, one can extract complete information involving PT phases, reflectances, transmittance and known extraordinary scattering phenomena. We demonstrate a PT heterostructure with coherent perfect absorption-lasing, anisotropic transmission resonance, and parity symmetry of reflection coefficients at the frequencies of interest. In addition, with the Parametric Space and the analytical formula, the corresponding complex dielectric permittivities for a simple PT system made of a gain, a gap, and a loss media in deeply subwavelength is derived to achieve various exotic PT functionality. This work could offer an alternative route to design versatile optical and photonic PT devices.
Vassilis M Charitopoulos - One of the best experts on this subject based on the ideXlab platform.
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multi Parametric linear and mixed integer linear programming under global uncertainty
2020Co-Authors: Vassilis M CharitopoulosAbstract:In this chapter, two algorithms for the exact explicit solution of mp-(MI)LPs under global uncertainty are presented. The algorithms comprise of two key steps: (i) analytical solution of the problem’s KKT system with the uncertain parameters and the integer variables treated as symbols using \(Gr\ddot{o}bner\) Bases and (ii) the computation of the related possibly non-convex and discontinuous CRs using Cylindrical Algebraic Decompositions on the Parametric Space. Problems related to process synthesis and scheduling highlight the potential of the proposed work while for the first time the functional nature of the explicit solution is theoretically characterised and proven.
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multi Parametric mixed integer linear programming under global uncertainty
Computers & Chemical Engineering, 2018Co-Authors: Vassilis M Charitopoulos, Lazaros G Papageorgiou, Vivek DuaAbstract:Major application areas of the process systems engineering, such as hybrid control, scheduling and synthesis can be formulated as mixed integer linear programming (MILP) problems and are naturally susceptible to uncertainty. Multi-Parametric programming theory forms an active field of research and has proven to provide invaluable tools for decision making under uncertainty. While uncertainty in the right-hand side (RHS) and in the objective function's coefficients (OFC) have been thoroughly studied in the literature, the case of left-hand side (LHS) uncertainty has attracted significantly less attention mainly because of the computational implications that arise in such a problem. In the present work, we propose a novel algorithm for the analytical solution of multi-Parametric MILP (mp-MILP) problems under global uncertainty, i.e. RHS, OFC and LHS. The exact explicit solutions and the corresponding regions of the Parametric Space are computed while a number of case studies illustrates the merits of the proposed algorithm.