Found 146 Documents (Results 1–100)
On the existence of nonlinearizable solutions of a nonclassical two-parameter nonlinear boundary value problem. (English. Russian original) Zbl 07891408
Differ. Equ. 60, No. 4, 445-464 (2024); translation from Differ. Uravn. 60, No. 4, 472-491 (2024).
Multi-objective shape optimization of TESLA-like cavities: addressing stochastic Maxwell’s eigenproblem constraints. (English) Zbl 07880834
Shape uncertainty quantification of Maxwell eigenvalues and -modes with application to TESLA cavities. (English) Zbl 07875043
A remark on the Hadamard-Hirakawa formula for an electromagnetic cavity problem. (English) Zbl 1542.35376
On the analysis of modes in a closed electromagnetic waveguide. (Sur l’analyse des modes dans un guide d’ondes électromagnétiques fermé.) (English. French summary) Zbl 07860658
Reviewer: Xingbin Pan (Shanghai)
On the ability of TE- and TM-waves propagation in a dielectric layer covered with nonlinear graphene. (English) Zbl 07853879
Linearizable and nonlinearizable solutions in the nonlinear eigenvalue problem arising in the theory of electrodynamic waveguides filled with a nonlinear medium. (English. Russian original) Zbl 1531.35202
J. Math. Sci., New York 275, No. 5, 556-571 (2023); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 176, 34-49 (2020).
Nonclassical perturbation approach to a nonlinear multiparameter eigenvalue problem arising in electromagnetics. (English) Zbl 07790782
Numerical approximation based on a decoupled dimensionality reduction scheme for Maxwell eigenvalue problem. (English) Zbl 1538.65474
Maxwell’s equations in a plane waveguide with nonhomogeneous nonlinear permittivity: analytical and numerical approaches. (English) Zbl 1527.35404
Nonlinearized nonlinear electromagnetic guided waves in a circle cylindrical waveguide filled with nonlinear dielectric medium. (English) Zbl 1518.35583
Maxwell’s equations with nonlinear inhomogeneous constitutive relation: guided waves in a film filled with inhomogeneous Kerr medium. (English) Zbl 1520.78058
Numerical modeling of lattice modes of photonic-crystal lasers by Galerkin method with exact matrix elements. (English) Zbl 1520.78041
A two-level preconditioned Helmholtz subspace iterative method for Maxwell eigenvalue problems. (English) Zbl 07679123
Band structure calculations of dispersive photonic crystals in 3D using holomorphic operator functions. (English) Zbl 1512.35421
Nonlinearizable solutions in an eigenvalue problem for Maxwell’s equations with nonhomogeneous nonlinear permittivity in a layer. (English) Zbl 1529.34024
Multiparameter eigenvalue problems and their applications in electrodynamics. (English. Russian original) Zbl 07621838
J. Math. Sci., New York 267, No. 6, 677-697 (2022); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 172, 9-29 (2019).
Surface waves in a Goubau line filled with nonlinear anisotropic inhomogeneous medium. (English) Zbl 1498.78040
Optical waveguide theory. Mathematical models, spectral theory and numerical analysis. (English) Zbl 1498.78001
Springer Series in Optical Sciences 237. Singapore: Springer (ISBN 978-981-19-0583-4/hbk; 978-981-19-0586-5/pbk; 978-981-19-0584-1/ebook). x, 260 p. (2022).
Reviewer: Roland Pulch (Greifswald)
Solving Maxwell eigenvalue problems for three dimensional isotropic photonic crystals with fourteen Bravais lattices. (English) Zbl 1503.65283
A two-level preconditioned Helmholtz-Jacobi-Davidson method for the Maxwell eigenvalue problem. (English) Zbl 1483.65190
The bi-Lebedev scheme for the Maxwell eigenvalue problem with 3D bi-anisotropic complex media. (English) Zbl 1520.78055
Modal stability and Squire’s theorem for an inhomogeneous viscoelastic suspension. (English) Zbl 1493.76040
Nonlinear propagation of coupled surface TE and leaky TM electromagnetic waves. (English) Zbl 1491.78014
Numerical study of propagation of nonlinear coupled surface and leaky electromagnetic waves in a circular cylindrical metal-dielectric waveguide. (English. Russian original) Zbl 1478.78066
Comput. Math. Math. Phys. 61, No. 8, 1353-1363 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 8, 1378-1389 (2021).
Solving Maxwell’s eigenvalue problem via isogeometric boundary elements and a contour integral method. (English) Zbl 1473.35536
Normal waves in an open anisotropic regular waveguide of arbitrary cross section. (English) Zbl 1469.78025
On the completeness of normal waves in an inhomogeneous partially shielded dielectric layer. (English) Zbl 1469.78003
Mathematical theory of surface waves in a lossy inhomogeneous dielectric waveguide of arbitrary cross section. (English) Zbl 1469.78024
Perturbation method in the theory of propagation of two-frequency electromagnetic waves in a nonlinear waveguide. I: TE-TE waves. (English. Russian original) Zbl 1460.78010
Comput. Math. Math. Phys. 61, No. 1, 103-117 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 1, 108-123 (2021).
Eigenvalue bifurcation in doubly nonlinear problems with an application to surface plasmon polaritons. (English) Zbl 1475.35221
NoDEA, Nonlinear Differ. Equ. Appl. 28, No. 1, Paper No. 9, 30 p. (2021); correction ibid. 30, No. 1, Paper No. 9, 5 p. (2023).
Reviewer: Dmitry Pelinovsky (Hamilton)
Nonlinear eigenvalue problems for coupled Helmholtz equations modeling gradient-index graphene waveguides. (English) Zbl 07508434
Mathematical theory of normal waves in an open metal-dielectric regular waveguide of arbitrary cross section. (English) Zbl 1476.78009
Modified electromagnetic transmission eigenvalues in inverse scattering theory. (English) Zbl 1455.35070
Operator pencil approach in an electromagnetic problem of symmetric wave propagation in a plane shielded waveguide. (English) Zbl 1450.78006
Propagation of electromagnetic waves in an open planar dielectric waveguide filled with a nonlinear medium. II: TM waves. (English. Russian original) Zbl 1451.78023
Comput. Math. Math. Phys. 60, No. 3, 427-447 (2020); translation from Zh. Vychisl. Mat. Mat. Fiz. 60, No. 3, 429-450 (2020).
Inverse spectral and scattering theory. An introduction. (English) Zbl 1467.35001
SpringerBriefs in Mathematical Physics 38. Singapore: Springer (ISBN 978-981-15-8198-4/pbk; 978-981-15-8199-1/ebook). xii, 130 p. (2020).
Reviewer: Lutz Recke (Berlin)
Asymptotic analysis of a nonlinear eigenvalue problem arising in electromagnetics. (English) Zbl 1440.35321
Maxwell exterior transmission eigenvalue problems and their applications to electromagnetic cloaking. (English) Zbl 1464.35342
A finite element based fast eigensolver for three dimensional anisotropic photonic crystals. (English) Zbl 1452.65314
Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation. (English) Zbl 1515.47076
Mathematical theory of normal waves in radially inhomogenous dielectric rod. (English) Zbl 1428.78022
Propagation of electromagnetic waves in an open planar dielectric waveguide filled with an nonlinear medium. I: TE waves. (English. Russian original) Zbl 1427.78023
Comput. Math. Math. Phys. 59, No. 6, 958-977 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 5, 838-858 (2019).
Maxwell’s equations with arbitrary self-action nonlinearity in a waveguiding theory: guided modes and asymptotic of eigenvalues. (English) Zbl 1421.78022
The new type of non-polarized symmetric electromagnetic waves in planar nonlinear waveguide. (English) Zbl 07024352
On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular dielectric waveguide filled with nonlinear isotropic homogeneous medium. (English) Zbl 1524.78071
On the existence of infinitely many nonperturbative solutions in a transmission eigenvalue problem for nonlinear Helmholtz equation with polynomial nonlinearity. (English) Zbl 1480.34113
Analysis of the spectrum of azimuthally symmetric waves of an open inhomogeneous anisotropic waveguide with longitudinal magnetization. (English. Russian original) Zbl 1416.78015
Comput. Math. Math. Phys. 58, No. 11, 1887-1901 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 11, 1955-1970 (2018).
Electromagnetic guided waves in a lossless cubic-quintic nonlinear waveguide. (English) Zbl 1406.78014
Electromagnetic non-polarized symmetric hybrid wave propagation in a plane waveguide with nonlinear anisotropic permittivity. (English) Zbl 1406.78013
Comparison results for eigenvalues of curl curl operator and Stokes operator. (English) Zbl 1401.35227
Residual-based a posteriori error estimation for the Maxwell’s eigenvalue problem. (English) Zbl 1433.65279
Numerical resolution of an electromagnetic inverse medium problem at fixed frequency. (English) Zbl 1397.65242
On the existence of infinitely many eigenvalues in a nonlinear Sturm-Liouville problem arising in the theory of waveguides. (English. Russian original) Zbl 1384.78007
Differ. Equ. 53, No. 11, 1419-1427 (2017); translation from Differ. Uravn. 53, No. 11, 1453-1460 (2017).
Fast eigensolvers for three-dimensional lossless drude dispersive metallic photonic crystals. (English) Zbl 1379.78016
Lin, Chang-Shou (ed.) et al., Proceedings of the sixth international congress of Chinese mathematicians, ICCM 2013, Taipei, Taiwan, July 14–19, 2013. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-349-4/pbk; 978-1-57146-350-0/set). Advanced Lectures in Mathematics (ALM) 37, 505-522 (2017).
Nonlinear propagation of coupled electromagnetic waves in a circular cylindrical waveguide. (English. Russian original) Zbl 1383.78025
Comput. Math. Math. Phys. 57, No. 8, 1294-1309 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 8, 1304-1320 (2017).
Reviewer: Eric Stachura (Haverford)
Finite element and discontinuous Galerkin methods for transient wave equations. (English) Zbl 1360.65233
Scientific Computation. Dordrecht: Springer (ISBN 978-94-017-7759-9/hbk; 978-94-017-7761-2/ebook). xvii, 381 p. (2017).
Reviewer: Rolf Dieter Grigorieff (Berlin)
Finite element methods for eigenvalue problems. (English) Zbl 1351.65085
Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-5464-8/hbk; 978-1-4822-5465-5/ebook). xxiii, 343 p. (2017).
Reviewer: Rolf Dieter Grigorieff (Berlin)
Multiscale modeling and computation of optically manipulated nano devices. (English) Zbl 1349.82176
MSC:
82D80
On the infinitely many nonperturbative solutions in a transmission eigenvalue problem for Maxwell’s equations with cubic nonlinearity. (English) Zbl 1353.78020
A finite element method for a curlcurl-graddiv eigenvalue interface problem. (English) Zbl 1337.65144
A Newton-type method with nonequivalence deflation for nonlinear eigenvalue problems arising in photonic crystal modeling. (English) Zbl 1380.65354
Boundary integral equations for the transmission eigenvalue problem for Maxwell’s equations. (English) Zbl 1332.35247
Inside-outside duality and the determination of electromagnetic interior transmission eigenvalues. (English) Zbl 1321.35225
Reviewer: Alain Brillard (Riedisheim)
Robin-to-Robin transparent boundary conditions for the computation of guided modes in photonic crystal wave-guides. (English) Zbl 1342.35369
Reviewer: Aleksander Pankov (Baltimore)
A Bernstein-Bézier basis for arbitrary order Raviart-Thomas finite elements. (English) Zbl 1315.65096
Reviewer: Pavol Chocholatý (Bratislava)
An analytic analysis of \(d\)-dimensional Gauss-Bonnet holographic superconductor in Born-Infeld electrodynamics. (English) Zbl 1295.82033
Low-complexity finite element algorithms for the de Rham complex on simplices. (English) Zbl 1296.65161
Eigenvalue solvers for three dimensional photonic crystals with face-centered cubic lattice. (English) Zbl 1295.78019
Convergence analysis for hyperbolic evolution problems in mixed form. (English) Zbl 1313.65242
Reviewer: Chrysoula Tsogka (Heraclion)
Computation of Maxwell’s transmission eigenvalues and its applications in inverse medium problems. (English) Zbl 1286.65149
The method of Cauchy problem for solving a nonlinear eigenvalue transmission problem for TM waves propagating in a layer with arbitrary nonlinearity. (Russian, English) Zbl 1274.78073
Zh. Vychisl. Mat. Mat. Fiz. 53, No. 1, 74-89 (2013); translation in Comput. Math. Math. Phys. 53, No. 1, 78-92 (2013).
MSC:
78A50
Sensitivity analysis for Maxwell eigenvalue problems in industrial applications. (English) Zbl 1267.78046
Apel, Thomas (ed.) et al., Advanced finite element methods and applications. Berlin: Springer (ISBN 978-3-642-30315-9/hbk; 978-3-642-30316-6/ebook). Lecture Notes in Applied and Computational Mechanics 66, 239-256 (2013).
Reviewer: Teodora-Liliana Rădulescu (Craiova)
Interior transmission eigenvalue problem for Maxwell’s equations: the \(T\)-coercivity as an alternative approach. (English) Zbl 1243.78024
Adaptive finite element methods for computing band gaps in photonic crystals. (English) Zbl 1241.82077
Inverse and ill-posed problems. Theory and applications. (English) Zbl 1247.65077
Inverse and Ill-Posed Problems Series 55. Berlin: de Gruyter (ISBN 978-3-11-022400-9/hbk; 978-3-11-022401-6/ebook). xv, 459 p. (2012).
Reviewer: Robert Plato (Siegen)
MSC:
65J22
65J20
34B24
35R25
35R30
45Q05
47A52
65F20
65F22
65M30
65M32
65N20
65N21
80A23
35K20
35K58
35J25
35L05
35L20
45G10
45B05
45D05
35Q61
44A12
65R10
65R30
65R32
35-02
45-02
65-02
34A55
Extrapolation of mixed finite element approximations for the Maxwell eigenvalue problem. (English) Zbl 1265.65230
Isogeometric discrete differential forms in three dimensions. (English) Zbl 1225.65100
Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca)
Isogeometric analysis in electromagnetics: B-splines approximation. (English) Zbl 1227.78026
MSC:
78M25
78A25
On the spectrum of a holomorphic operator-valued function with applications to absorptive photonic crystals. (English) Zbl 1213.47013
Reviewer: Dian K. Palagachev (Bari)
On the interior transmission eigenvalue problem. (English) Zbl 1204.78008
Reviewer: Vladimir Čadež (Beograd)
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