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Found 96 Documents (Results 1–96)

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Semi-classical models of quantum nanoplasmonics based on the discrete source method (review). (English. Russian original) Zbl 1466.78010

Comput. Math. Math. Phys. 61, No. 4, 564-590 (2021); translation from Zh. Vychisl. Mat. Mat. Fiz. 61, No. 4, 580-607 (2021).
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Method for analyzing the influence of the quantum nonlocal effect on the characteristics of a plasmonic nanolaser. (English. Russian original) Zbl 1478.78056

Dokl. Math. 101, No. 1, 20-24 (2020); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 490, 24-28 (2020).
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Discrete source method for the study of influence nonlocality on characteristics of the plasmonic nanolaser resonators. (English. Russian original) Zbl 1451.78035

Comput. Math. Math. Phys. 59, No. 12, 2164-2172 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 12, 2175-2184 (2019).
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Quantum effects on optical properties of a pair of plasmonic particles separated by a subnanometer gap. (English. Russian original) Zbl 1420.82029

Comput. Math. Math. Phys. 59, No. 1, 112-120 (2019); translation from Zh. Vychisl. Mat. Mat. Fiz. 59, No. 1, 118-127 (2019).
MSC:  82D80 78A25 35Q61 78A45 81V35 82-08
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Mathematical model taking into account nonlocal effects of plasmonic structures on the basis of the discrete source method. (English. Russian original) Zbl 1400.78010

Comput. Math. Math. Phys. 58, No. 4, 572-580 (2018); translation from Zh. Vychisl. Mat. Mat. Fiz. 58, No. 4, 586-594 (2018).
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Generalization of the optical theorem to multipole sources in the scattering theory of electromagnetic waves. (English. Russian original) Zbl 1379.78009

Comput. Math. Math. Phys. 57, No. 7, 1173-1180 (2017); translation from Zh. Vychisl. Mat. Mat. Fiz. 57, No. 7, 1176-1183 (2017).
MSC:  78A45 78A50 35Q60 65N80 81V80 78M25
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Estimating integral scattering characteristics in a point emitter field from energy relationships. (English. Russian original) Zbl 1381.78006

Comput. Math. Model. 27, No. 4, 429-438 (2016); translation from Prikl. Mat. Inf. 50, 45-55 (2015).
MSC:  78A40 78A50 35Q60
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Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures. (English. Russian original) Zbl 1343.78016

Comput. Math. Math. Phys. 56, No. 1, 140-147 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 1, 133-141 (2016).
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Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity. (English. Russian original) Zbl 1322.78012

Comput. Math. Math. Phys. 55, No. 3, 447-460 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 3, 446-459 (2015).
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Analysis of double surface plasmon resonance by the discrete source method. (Russian, English) Zbl 1313.78024

Zh. Vychisl. Mat. Mat. Fiz. 54, No. 8, 1289-1298 (2014); translation in Comput. Math. Math. Phys. 54, No. 8, 1251-1260 (2014).
MSC:  78A45 82D80
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Double plasmon resonance in the field of evanescent waves. (English) Zbl 1297.35226

Dokl. Math. 89, No. 1, 119-123 (2014); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 454, No. 6, 542-546 (2014).
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Analysis of scattering properties of embedded particles by applying the discrete sources method. (Russian, English) Zbl 1274.78043

Zh. Vychisl. Mat. Mat. Fiz. 52, No. 9, 1666-1675 (2012); translation in Comput. Math. Math. Phys. 52, No. 9, 1295-1303 (2012).
MSC:  78A45 82D80
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Study of extraordinary scattering of evanescent waves by the discrete sources method. (Russian, English) Zbl 1274.78044

Zh. Vychisl. Mat. Mat. Fiz. 51, No. 9, 1712-1720 (2011); translation in Comput. Math. Math. Phys. 51, No. 9, 1605-1613 (2011).
MSC:  78A45
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Solution blow-up for a new stationary Sobolev-type equation. (Russian, English) Zbl 1224.78030

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 5, 876-893 (2010); translation in Comput. Math., Math. Phys. 50, No. 5, 831-847 (2010).
MSC:  78A50
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Discrete sources analysis of the correlation between surface plasmon resonance and extraordinary optical transmission. (Russian, English) Zbl 1224.78002

Zh. Vychisl. Mat. Mat. Fiz. 50, No. 1, 532-538 (2010); translation in Comput. Math., Math. Phys. 50, No. 3, 509-514 (2010).
MSC:  78A10 82D35
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Extraordinary optical transmission through a conducting film with a nanometric inhomogeneity in the evanescent wave region. (English. Russian original) Zbl 1253.78017

Dokl. Math. 79, No. 1, 128-131 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 1, 22-25 (2009).
MSC:  78A40 35Q60
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Extraordinary optical transmission through a conducting film with a nanometric inhomogeneity in the evanescent wave region. (Russian, English) Zbl 1187.78035

Dokl. Akad. Nauk, Ross. Akad. Nauk 424, No. 1, 22-25 (2009); translation in Dokl. Math., Math. Phys. 79, No. 1, 128-132 (2009).
MSC:  78A45
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A mathematical model of a layered structure with a nanodimensional hole. (English. Russian original) Zbl 1179.78049

Mosc. Univ. Comput. Math. Cybern. 32, No. 4, 194-200 (2008); translation from Vestn. Mosk. Univ., Ser. XV 2008, No. 4, 11-15 (2008).
MSC:  78A45 78M16 82D80
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Mathematical models in nanooptics and biophotonics based on the discrete sources method. (Russian, English) Zbl 1210.78004

Zh. Vychisl. Mat. Mat. Fiz. 47, No. 2, 269-287 (2007); translation in Comput. Math. Math. Phys. 47, No. 2, 262-279 (2007).
MSC:  78A10
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On the blow-up of solutions of a class of strongly nonlinear dissipative wave equations of Sobolev type with sources. (English. Russian original) Zbl 1098.34050

Izv. Math. 69, No. 4, 733-770 (2005); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 69, No. 4, 89-128 (2005).
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Transformation of evanescent waves near a layered bed. (Russian, English) Zbl 1083.78504

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 4, 752-763 (2004); translation in Comput. Math. Math. Phys. 44, No. 4, 712-722 (2004).
MSC:  78A45 35Q60 78A40
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Three-dimensional nonlinear evolutionary pseudoparabolic equations in mathematical physics. II. (Russian, English) Zbl 1122.35063

Zh. Vychisl. Mat. Mat. Fiz. 44, No. 11, 2041-2048 (2004); translation in Comput. Math. Math. Phys. 44, No. 11, 1942-1948 (2004).
MSC:  35K70 78A25
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Analysis of evanescent waves scattering by the discrete source method. (Russian, English) Zbl 1147.78302

Vestn. Mosk. Univ., Ser. XV 2003, No. 1, 14-20 (2003); translation in Mosc. Univ. Comput. Math. Cybern. 2003, No. 1, 15-21 (2003).
MSC:  78A15 78M20
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On the solvability of strongly nonlinear pseudoparabolic equation with double nonlinearity. (Russian, English) Zbl 1083.35051

Zh. Vychisl. Mat. Mat. Fiz. 43, No. 7, 987-1004 (2003); translation in Comput. Math. Math. Phys. 43, No. 7, 944-961 (2003).
MSC:  35K70 35K65 78A25
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Resonance in a waveguide with an inhomogeneous filling. (Russian, English) Zbl 1140.78310

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 12, 1816-1830 (2002); translation in Comput. Math. Math. Phys. 42, No. 12, 1745-1758 (2002).
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Computation of an open matching waveguide transition using effective nonlocal boundary conditions. (Russian, English) Zbl 1066.78513

Zh. Vychisl. Mat. Mat. Fiz. 42, No. 4, 514-521 (2002); translation in Comput. Math. Math. Phys. 42, No. 4, 492-498 (2002).
MSC:  78M20 78A50 65N06
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Asymptotic representation of the electromagnetic field of a waveguide in the neighborhood of a boundary edge. (English. Russian original) Zbl 1136.78306

Mosc. Univ. Phys. Bull. 57, No. 1, 1-6 (2002); translation from Vestn. Mosk. Univ., Ser. III 2002, No. 1, 3-14 (2002).
MSC:  78A50
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On the existence of a steady-state oscillation mode in the Cauchy problem for a composite-type equation. (English. Russian original) Zbl 1023.35083

Comput. Math. Math. Phys. 41, No. 4, 602-608 (2001); translation from Zh. Vychisl. Mat. Mat. Fiz. 41, No. 4, 641-647 (2001).
MSC:  35M20 35B05 35B40 76B55 78A40
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On conditions for the solvability of the problem of the excitation of a radio waveguide. (English. Russian original) Zbl 1092.78506

Dokl. Math. 61, No. 1, 126-129 (2000); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 370, No. 4, 453-456 (2000).
MSC:  78A50
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Mathematical model of virtual photons scattering. (Russian) Zbl 1074.78519

Mosc. Univ. Comput. Math. Cybern. 2000, No. 4, 18-25 (2000); translation from Vestn. Mosk. Univ., Ser. XV 2000, No. 4, 14-19 (2000).
MSC:  78A45
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Mathematical model of virtual photon scattering. (English. Russian original) Zbl 1004.78504

Mosc. Univ. Comput. Math. Cybern. 2000, No. 4, 18-25 (2000); translation from Vestn. Mosk. Univ., Ser. XV 2000, No. 4, 14-19 (2000).
MSC:  78A45 78A15
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A computer technique for analyzing scattering problems by the discrete source method. (English. Russian original) Zbl 1033.78017

Comput. Math. Math. Phys. 40, No. 12, 1769-1783 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 12, 1842-1856 (2000).
MSC:  78M25 78A45
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On quasi-steady processes in conducting nondispersive media. (English. Russian original) Zbl 0993.78013

Comput. Math. Math. Phys. 40, No. 8, 1188-1199 (2000); translation from Zh. Vychisl. Mat. Mat. Fiz. 40, No. 8, 1237-1249 (2000).
MSC:  78A55
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Analysis of electromagnetic diffraction by three-dimensional bodies using the discrete-sources method. (English. Russian original) Zbl 0993.78005

Comput. Math. Math. Phys. 39, No. 12, 1967-1980 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 12, 2050-2063 (1999).
MSC:  78A45
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On the problem of excitation of a waveguide filled with an inhomogeneous medium. (English. Russian original) Zbl 0993.78009

Comput. Math. Math. Phys. 39, No. 11, 1794-1813 (1999); translation from Zh. Vychisl. Mat. Mat. Fiz. 39, No. 11, 1869-1888 (1999).
MSC:  78A50
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On the completeness of the set of eigen- and associated functions of a waveguide. (English. Russian original) Zbl 0966.35089

Comput. Math. Math. Phys. 38, No. 11, 1815-1823 (1998); translation from Zh. Vychisl. Mat. Mat. Fiz. 38, No. 11, 1891-1899 (1998).
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A projective-iterative scheme for determining the amplitudes of discrete sources on the basis of dissipative matrices. (English. Russian original) Zbl 0943.78004

Comput. Math. Math. Phys. 37, No. 2, 219-226 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 2, 223-229 (1997).
MSC:  78A45 65N22 35G15 78M25
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On the existence of solitary-wave type solutions to nonlinear equations with dispersion. (English. Russian original) Zbl 0989.35124

Mosc. Univ. Phys. Bull. 51, No. 1, 25-27 (1996); translation from Vestn. Mosk. Univ., Ser. III 1996, No. 1, 29-32 (1996).
MSC:  35Q60 78A45
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The analysis of complex diffraction problems by the discrete-source method. (English. Russian original) Zbl 0852.65119

Comput. Math. Math. Phys. 35, No. 6, 731-743 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 6, 918-934 (1995).
MSC:  65Z05 78A45 35Q60
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Radiation conditions for the discrete analogues of the non-stationary Maxwell’s equations in the case of an inhomogeneous medium. (English. Russian original) Zbl 0844.65094

Comput. Math. Math. Phys. 35, No. 3, 331-341 (1995); translation from Zh. Vychisl. Mat. Mat. Fiz. 35, No. 3, 412-426 (1995).
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The use of the singular perturbations method to calculate the electromagnetic-wave-scattering operator in open periodic waveguide structures. (English. Russian original) Zbl 0832.65137

Comput. Math. Math. Phys. 34, No. 7, 895-907 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 7, 1038-1052 (1994).
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Conservative difference schemes for non-stationary Maxwell’s equations in three dimensions. (English. Russian original) Zbl 0817.65131

Comput. Math. Math. Phys. 33, No. 9, 1195-1206 (1993); translation from Zh. Vychisl. Mat. Mat. Fiz. 33, No. 9, 1352-1367 (1993).
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Quasisolution of boundary value diffraction problems on the basis of hypersingular equations. (English. Russian original) Zbl 0814.65131

Differ. Equations 29, No. 9, 1392-1398 (1993); translation from Differ. Uravn. 29, No. 9, 1602-1608 (1993).
Reviewer: V.P.Tyagi (Bombay)
MSC:  65Z05 65F10 35Q60 78A45 78M25
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Mathematical modeling in electrodynamics. (English. Russian original) Zbl 0899.65072

Comput. Math. Model. 6, No. 4, 254-263 (1995); translation from Matematicheskoe Modelirovanie, Moscow University, Moscow, 1993, 90-104 (1993).
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Problems of recognition and synthesis in diffraction theory. (English. Russian original) Zbl 0801.35146

Comput. Math. Math. Phys. 32, No. 10, 1433-1443 (1992); translation from Zh. Vychisl. Mat. Mat. Fiz. 32, No. 10, 1594-1607 (1992).
MSC:  35R30 78A45 35P25
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Inverse scattering and synthesis problems in the diffraction theory. (English) Zbl 0786.35143

Tikhonov, Andrej N. (ed.) et al., Ill-posed problems in natural sciences. Proceedings of the international conference held in Moscow (Russia), August 19-25, 1991. Utrecht: VSP. 504-514 (1992).
MSC:  35R30 35P25 78A45
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Method of discrete sources in scattering theory. (English. Russian original) Zbl 0790.65099

Mosc. Univ. Comput. Math. Cybern. 47, No. 4, 1-10 (1992); translation from Vestn. Mosk. Univ., Ser. XV 1992, No. 4, 3-14 (1992).
MSC:  65Z05 35Q60 78A45
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Quasisolution of vector problems of diffraction by screens based on iterative methods. (English. Russian original) Zbl 0786.65104

Comput. Math. Math. Phys. 31, No. 10, 81-86 (1991); translation from Zh. Vychisl. Mat. Mat. Fiz. 31, No. 10, 1536-1543 (1991).
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An iterative method of quasi-solution in problems of diffraction by dielectric bodies. (English. Russian original) Zbl 0721.65078

U.S.S.R. Comput. Math. Math. Phys. 30, No. 1, 74-79 (1990); translation from Zh. Vychisl. Mat. Mat. Fiz. 30, No. 1, 99-106 (1990).
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Efficient numerical solution method for integral equations of the second kind in electrodynamics. (English. Russian original) Zbl 0435.65109

Mosc. Univ. Comput. Math. Cybern. 1980, No. 1, 13-27 (1980); translation from Vestn. Mosk. Univ., Ser. XV 1980, No. 1, 14-26 (1980).
MSC:  65R20 65F30 45F15 78A45
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Direct and inverse problems of electrodynamics. (English. Russian original) Zbl 0443.35066

Mosc. Univ. Comput. Math. Cybern. 1978, No. 4, 1-11 (1978); translation from Vestn. Mosk. Univ., Ser. XV 1978, No. 4, 3-11 (1978).
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Some properties of the parametric system of basis functions of the projection method. (English. Russian original) Zbl 0442.65114

Mosc. Univ. Comput. Math. Cybern. 1978, No. 2, 66-69 (1978); translation from Vestn. Mosk. Univ., Ser. XV 1978, No. 2, 66-69 (1978).
MSC:  65Z05 78A45 65N30
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