A finite difference scheme for (2+1)D cubic-quintic nonlinear Schrödinger equations with nonlinear damping

Authors: Anh Ha Le, Toan T. Huynh, Quan M. Nguyen

Source: Applied Numerical Mathematics. 205:215-239

Subject Terms: (2+1)D nonlinear Schrödinger equation, NLS equations (nonlinear Schrödinger equations), 2D soliton, nonlinear damping, 4. Education, FOS: Mathematics, Crank-Nicolson finite difference, Mathematics - Numerical Analysis, Numerical Analysis (math.NA), Waves and radiation in optics and electromagnetic theory, Finite difference methods applied to problems in optics and electromagnetic theory

File Description: application/xml

Access URL: http://arxiv.org/abs/2407.12311
https://zbmath.org/7901905
https://doi.org/10.1016/j.apnum.2024.07.008

Quantum simulation of Maxwell’s equations via Schrödingerisation: Quantum simulation of Maxwell's equations via Schrödingerisation

Authors: Jin, Shi, Liu, Nana, Ma, Chuwen

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1853-1879

Subject Terms: Quantum Physics, Schrödingerisation method, FOS: Physical sciences, Quantum algorithms and complexity in the theory of computing, 7. Clean energy, 3. Good health, quantum algorithm, Maxwell's equations, boundary and interface conditions, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), Quantum Physics (quant-ph), Finite difference methods applied to problems in optics and electromagnetic theory, continuous-variable quantum system

File Description: application/xml

Access URL: http://arxiv.org/abs/2308.08408
https://zbmath.org/7957228
https://doi.org/10.1051/m2an/2024046

An unconditional stable modified finite element methods for Maxwell’s equation in Kerr-type nonlinear media: An unconditional stable modified finite element methods for Maxwell's equation in Kerr-type nonlinear media

Authors: Meng Chen, Linghua Kong, Yiru Liang, Wei Wang, Wei Yang

Source: Journal of Computational and Applied Mathematics. 457:116247

Subject Terms: Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, Kerr media, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, computational efficiency, Maxwell's equations, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Lasers, masers, optical bistability, nonlinear optics, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, unconditional stable, Finite difference methods applied to problems in optics and electromagnetic theory

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BCC-Grid versus SC-Grid in the modeling of a sheet of graphene as a surface boundary condition in the context of ADE-FDTD: BCC-grid versus SC-grid in the modeling of a sheet of graphene as a surface boundary condition in the context of ADE-FDTD

Authors: Ramin Emadi, Enrique Moreno, Pedro Enrique Barrilao González, Juan Bautista Roldán, Ernest A. Michael

Source: Mathematics and Computers in Simulation. 186:52-61

Subject Terms: vector fitting, Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in statistical mechanics, graphene, 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Finite difference methods applied to problems in optics and electromagnetic theory, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, finite difference time domain, 01 natural sciences, body centered cubic grid, boundary condition

File Description: application/xml

Access URL: https://zbmath.org/7318343
https://doi.org/10.1016/j.matcom.2020.05.019

Modeling and FDTD discretization of stochastic Maxwell's equations with Drude dispersion: Modeling and FDTD discretization of stochastic Maxwell's equations with drude dispersion

Authors: Yanjiao Zhou, Dong Liang

Source: Journal of Computational Physics. 509:113033

Subject Terms: multiplicative noise, Finite difference methods for initial value and initial-boundary value problems involving PDEs, averaged global energy law, Yee-FDTD, General topics in optics and electromagnetic theory, Finite difference methods applied to problems in optics and electromagnetic theory, stochastic Maxwell's equations with drude model, additive noise, CN-FDTD

File Description: application/xml

Access URL: https://zbmath.org/8021001
https://doi.org/10.1016/j.jcp.2024.113033

Time-domain mathematical modeling of external cloak metamaterials with an unconditionally stable finite element method

Authors: Wang, Wei, Liang, Yiru, Chen, Meng, Yang, Wei

Source: Computer Physics Communications. 307:109402

Subject Terms: Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Lorentz dispersive medium, leapfrog-ADI, external cloak, Electromagnetic theory (general), Finite difference methods for initial value and initial-boundary value problems involving PDEs, Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs, Waves and radiation in optics and electromagnetic theory, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, time-domain finite element, Finite difference methods applied to problems in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory, Diffraction, scattering

File Description: application/xml

Access URL: https://zbmath.org/7964632
https://doi.org/10.1016/j.cpc.2024.109402

FDTD Schemes for Maxwell’s Equations with Embedded Perfect Electric Conductors Based on the Correction Function Method: FDTD schemes for Maxwell's equations with embedded perfect electric conductors based on the correction function method

Authors: Yann-Meing Law, Jean-Christophe Nave

Source: Journal of Scientific Computing. 88

Subject Terms: finite-difference time-domain, Numerical optimization and variational techniques, 35Q61, 65M06, 78M20, high order, Parallel numerical computation, Numerical Analysis (math.NA), Optimization problems in optics and electromagnetic theory, 01 natural sciences, Error bounds for initial value and initial-boundary value problems involving PDEs, Maxwell equations, Maxwell's equations, embedded perfect electric conductor, Finite difference methods for initial value and initial-boundary value problems involving PDEs, correction function method, 0103 physical sciences, FOS: Mathematics, Ill-posed problems for PDEs, Mathematics - Numerical Analysis, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, Finite difference methods applied to problems in optics and electromagnetic theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/1909.10570
http://arxiv.org/abs/1909.10570
https://zbmath.org/7389369
https://doi.org/10.1007/s10915-021-01591-z
https://link.springer.com/article/10.1007/s10915-021-01591-z
https://dblp.uni-trier.de/db/journals/jscic/jscic88.html#LawN21
https://doi.org/10.1007/s10915-021-01591-z
https://publications.polymtl.ca/60264/
https://doi.org/10.1007/s10915-021-01591-z

Nonlinear self-dual network equations: modulation instability, interactions of higher-order discrete vector rational solitons and dynamical behaviours

Authors: Xiao-Yong Wen, Zhenya Yan, Guoqiang Zhang

Source: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 476

Subject Terms: wave motion, modulation instability, Lasers, masers, optical bistability, nonlinear optics, Ordinary lattice differential equations, Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems, stability, 16. Peace & justice, 01 natural sciences, mathematical physics, rational solitons, 0103 physical sciences, applied mathematics, Lattice dynamics, integrable lattice equations, generalized perturbation Darboux transformation, Finite difference methods applied to problems in optics and electromagnetic theory, nonlinear self-dual network equations

File Description: application/xml

Access URL: https://europepmc.org/articles/pmc7655740?pdf=render
https://pubmed.ncbi.nlm.nih.gov/33223949
https://ui.adsabs.harvard.edu/abs/2020RSPSA.47600512W/abstract
https://royalsocietypublishing.org/doi/10.1098/rspa.2020.0512
https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2020.0512
https://www.ncbi.nlm.nih.gov/pubmed/33223949
https://pubmed.ncbi.nlm.nih.gov/33223949/
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7655740

Unconditionally Stable ADI/Crank–Nicolson Implementation and Lossy Split Error Revisited: Unconditionally stable ADI/Crank-Nicolson implementation and lossy split error revisited

Authors: Tengmeng Tan, Qing Huo Liu

Source: IEEE Transactions on Antennas and Propagation. 61:5627-5636

Subject Terms: Maxwell equations, Electromagnetic theory (general), Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Finite difference methods applied to problems in optics and electromagnetic theory, PDEs in connection with optics and electromagnetic theory

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https://doi.org/10.1109/tap.2013.2278857
https://ieeexplore.ieee.org/document/6582511/
http://ui.adsabs.harvard.edu/abs/2013ITAP...61.5627T/abstract
http://ieeexplore.ieee.org/document/6582511

Single Realization Stochastic FDTD for Weak Scattering Waves in Biological Random Media: Single realization stochastic FDTD for weak scattering waves in biological random media

Authors: Allen Taflove, Tengmeng Tan, Vadim Backman

Source: IEEE Transactions on Antennas and Propagation. 61:818-828

Subject Terms: Biological applications of optics and electromagnetic theory, Monte Carlo methods applied to problems in optics and electromagnetic theory, 0202 electrical engineering, electronic engineering, information engineering, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, 02 engineering and technology, Finite difference methods applied to problems in optics and electromagnetic theory

File Description: application/xml

Access URL: http://www.ece.northwestern.edu/ecefaculty/taflove/Paper141.pdf
https://pubmed.ncbi.nlm.nih.gov/27158153
https://www.scholars.northwestern.edu/en/publications/single-realization-stochastic-fdtd-for-weak-scattering-waves-in-b
http://ui.adsabs.harvard.edu/abs/2013ITAP...61..818T/abstract
http://www.ece.northwestern.edu/ecefaculty/taflove/Paper141.pdf
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4856227
https://europepmc.org/articles/PMC4856227
https://ieeexplore.ieee.org/document/6310034/

Development of a Novel FDTD (2, 4)-Compatible Conformal Scheme for Electromagnetic Computations of Complex Curved PEC Objects: Development of a novel FDTD \((2,4)\)-compatible conformal scheme for electromagnetic computations of complex curved PEC objects

Authors: Jian Wang, Wen-Yan Yin

Source: IEEE Transactions on Antennas and Propagation. 61:299-309

Subject Terms: Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Finite difference methods applied to problems in optics and electromagnetic theory

File Description: application/xml

Access URL: http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=6293863
https://ieeexplore.ieee.org/document/6293863/
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000006293863
https://ui.adsabs.harvard.edu/abs/2013ITAP...61..299W/abstract

FDTD Discrete Planewave (FDTD-DPW) Formulation for a Perfectly Matched Source in TFSF Simulations: FDTD discrete planewave (FDTD-DPW) formulation for a perfectly matched source in TFSF simulations

Authors: Tengmeng Tan, M. E. Potter

Source: IEEE Transactions on Antennas and Propagation. 58:2641-2648

Subject Terms: Finite difference methods for initial value and initial-boundary value problems involving PDEs, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Finite difference methods applied to problems in optics and electromagnetic theory

File Description: application/xml

Access URL: https://zbmath.org/6768490
https://doi.org/10.1109/tap.2010.2050446
https://ieeexplore.ieee.org/document/5466083
https://ui.adsabs.harvard.edu/abs/2010ITAP...58.2641T/abstract
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000005466083
http://ieeexplore.ieee.org/document/5466083/
https://www.infona.pl/resource/bwmeta1.element.ieee-art-000005466083

Optimized Analytic Field Propagator (O-AFP) for Plane Wave Injection in FDTD Simulations: Optimized analytic field propagator (O-AFP) for plane wave injection in FDTD simulations

Authors: Tengmeng Tan, M. E. Potter

Source: IEEE Transactions on Antennas and Propagation. 58:824-831

Subject Terms: 0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, Waves and radiation in optics and electromagnetic theory, Finite difference methods applied to problems in optics and electromagnetic theory, 01 natural sciences

File Description: application/xml

Access URL: https://ieeexplore.ieee.org/document/5361397/
http://ieeexplore.ieee.org/document/5361397/
https://ui.adsabs.harvard.edu/abs/2010ITAP...58..824T/abstract
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000005361397

Computational Simulation of Plasmas: Computational simulation of plasmas

Authors: Bell, A

Source: Plasma Physics ISBN: 9789401059992

Subject Terms: Research exposition (monographs, survey articles) pertaining to fluid mechanics, laser-produced plasmas, high-density collision-dominated plasmas, low-density collisionless plasmas, astrophysical plasmas, Computational methods for problems pertaining to astronomy and astrophysics, 0103 physical sciences, Ionized gas flow in electromagnetic fields, plasmic flow, particle models, fluid models, Finite difference methods applied to problems in optics and electromagnetic theory, 01 natural sciences, Finite difference methods applied to problems in fluid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1338017
https://doi.org/10.1023/a:1001112314064
https://link.springer.com/content/pdf/10.1023/A:1001112314064.pdf
http://ui.adsabs.harvard.edu/abs/1997Ap&SS.256...13B/abstract
https://ora.ox.ac.uk/objects/uuid:683cd90d-7662-4e00-b80d-166d2a674ba0

Theoretical analysis on microwave heating of oil–water emulsions supported on ceramic, metallic or composite plates: Theoretical analysis on microwave heating of oil-water emulsions supported on ceramic, metallic or composite plates

Authors: Sujoy Kumar Samanta, Tanmay Basak, Bhaskar Sengupta

Source: International Journal of Heat and Mass Transfer. 51:6136-6156

Subject Terms: thermal runaway, name=Fluid Flow and Transfer Processes, microwave, oil-water emulsion, Finite difference methods applied to problems in thermodynamics and heat transfer, composite supports, 02 engineering and technology, name=Mechanical Engineering, 7. Clean energy, 01 natural sciences, Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory, Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer, 0103 physical sciences, Heat and mass transfer, heat flow, name=Condensed Matter Physics, 0210 nano-technology, Finite difference methods applied to problems in optics and electromagnetic theory

File Description: application/xml

Access URL: https://zbmath.org/5506671
https://doi.org/10.1016/j.ijheatmasstransfer.2008.04.003
https://www.sciencedirect.com/science/article/pii/S0017931008002214
https://researchportal.hw.ac.uk/en/publications/theoretical-analysis-on-microwave-heating-of-oil-water-emulsions-
https://core.ac.uk/display/29092237
https://pure.qub.ac.uk/portal/en/publications/theoretical-analysis-on-microwave-heating-of-oilwater-emulsions-supported-on-ceramic-metallic-or-composite-plates(bba3e87a-f0f7-4552-aa23-708f317a878d).html

Conservative space-time mesh refinement methods for the FDTD solution of Maxwell’s equations: Conservative space-time mesh refinement methods for the FDTD solution of Maxwell's equations

Authors: Collino, Francis, Fouquet, Thierry, Joly, Patrick

Contributors: Arnoux, Aurélien

Source: Journal of Computational Physics. 211:9-35

Subject Terms: FDTD, Yee-scheme, Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs, 0202 electrical engineering, electronic engineering, information engineering, mesh refinement, 02 engineering and technology, Waves and radiation in optics and electromagnetic theory, 0101 mathematics, Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs, stability analysis, Finite difference methods applied to problems in optics and electromagnetic theory, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2223318
https://doi.org/10.1016/j.jcp.2005.03.035
https://ensta.hal.science/hal-00977715v1
https://doi.org/10.1016/j.jcp.2005.03.035
https://hal-ensta-paris.archives-ouvertes.fr/hal-00977715
https://ui.adsabs.harvard.edu/abs/2006JCoPh.211....9C/abstract
https://www.sciencedirect.com/science/article/pii/S0021999105001804
https://hal.archives-ouvertes.fr/hal-00977715

A class of difference schemes with flexible local approximation

Authors: Igor Tsukerman

Source: Journal of Computational Physics. 211:659-699

Subject Terms: Finite difference methods for boundary value problems involving PDEs, Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation, scattering, flexible approximation, Schrödinger equation, wave propagation, 01 natural sciences, 0103 physical sciences, Numerical methods of time-dependent statistical mechanics, Waves and radiation in optics and electromagnetic theory, 0101 mathematics, Finite difference methods applied to problems in optics and electromagnetic theory, Poisson-Boltzmann equation, finite difference method, Diffraction, scattering

File Description: application/xml

Access URL: https://zbmath.org/2229477
https://doi.org/10.1016/j.jcp.2005.06.011
https://dl.acm.org/doi/10.1016/j.jcp.2005.06.011
https://www.sciencedirect.com/science/article/pii/S0021999105002925

Analysis of photonic band‐gap structures in stratified medium: Analysis of photonic band-gap structures in stratified medium

Authors: Yilong Lu, Tae-Gyu Chang, Ming-Sze Tong, Hyeong-Seok Kim, Viktor Krozer, Kenichi Kagoshima, Yinchao Chen

Source: COMPEL - The international journal for computation and mathematics in electrical and electronic engineering. 24:1191-1199

Subject Terms: Wave propagation, Numerical methods in optics, 0202 electrical engineering, electronic engineering, information engineering, Structural systems, 02 engineering and technology, Waves and radiation in optics and electromagnetic theory, Time-varying control systems, Finite difference methods applied to problems in optics and electromagnetic theory, Numerical methods for discrete and fast Fourier transforms, Fourier transforms

File Description: application/xml

Access URL: https://orbit.dtu.dk/en/publications/analysis-of-photonic-bandgap-structures-in-stratified-medium(68d6dad4-7858-4c39-ac48-9f454c8cdb15).html
http://www.emeraldinsight.com/doi/10.1108/03321640510615544
https://www.emerald.com/insight/content/doi/10.1108/03321640510615544/full/html
https://dialnet.unirioja.es/servlet/articulo?codigo=1295116

Perfectly matched layers for Maxwell’s equations in second order formulation: Perfectly matched layers for Maxwell's equations in second order formulation

Authors: Sjogreen, B, Petersson, A

Contributors: United States. Department of Energy.

Source: Journal of Computational Physics. 209:19-46

Subject Terms: matched layers, 4. Education, Computing, Shape, second-order formulation, 99 General And Miscellaneous//Mathematics, 01 natural sciences, Boundary element methods applied to problems in optics and electromagnetic theory, Maxwell's equations, And Information Science, Waves and radiation in optics and electromagnetic theory, 0101 mathematics, Boundary Conditions, Finite difference methods applied to problems in optics and electromagnetic theory, Accuracy, Diffraction, scattering

File Description: application/xml; page(s) pp. 19-46; Text

Access URL: https://digital.library.unt.edu/ark:/67531/metadc1407608/m2/1/high_res_d/15016551.pdf
https://zbmath.org/2192422
https://doi.org/10.1016/j.jcp.2005.03.011
http://www.osti.gov/scitech/biblio/15016551-perfectly-matched-layers-maxwell-equations-second-order-formulation
https://www.sciencedirect.com/science/article/pii/S0021999105001336
http://computation.llnl.gov/project/serpentine/pubs/SjogreenPeterssonPML.pdf
http://www.sciencedirect.com/science/article/pii/S0021999105001336
http://kth.diva-portal.org/smash/record.jsf?pid=diva2:437426
http://www.diva-portal.org/smash/record.jsf?pid=diva2:437426

Modelling of periodic electromagnetic structures bianisotropic materials with memory effects

Authors: Bernadette Miara, Georges Griso, Alain Bossavit

Source: Journal de Mathématiques Pures et Appliquées. 84:819-850

Subject Terms: Homogenization, Mathematics(all), Bianisotropic material, Applied Mathematics, Periodic structures, homogenization, Homogenization in context of PDEs, PDEs in media with periodic structure, 01 natural sciences, Technical applications of optics and electromagnetic theory, Maxwell equations, Electromagnetic theory (general), 0101 mathematics, PDEs in connection with optics and electromagnetic theory, Finite difference methods applied to problems in optics and electromagnetic theory, Periodic solutions to PDEs

File Description: application/xml

Access URL: https://zbmath.org/2228730
https://doi.org/10.1016/j.matpur.2004.09.015
https://core.ac.uk/display/81124393
https://www.sciencedirect.com/science/article/pii/S0021782404001175