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Found 84 Documents (Results 1–84)

100
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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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Account for the nonlocal effect in light scattering by plasmonic nanoparticles in the hybrid scheme of the discrete sources method. (English. Russian original) Zbl 1384.82015

Mosc. Univ. Comput. Math. Cybern. 41, No. 4, 165-172 (2017); translation from Vestn. Mosk. Univ., Ser. XV 2017, No. 4, 14-21 (2017).
MSC:  82D35 82D80 78A60 82-08 78A45 78M25
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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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Generalization of the optical theorem to a singular source in the presence of a half-space. (English. Russian original) Zbl 1343.78009

Dokl. Math. 93, No. 1, 89-93 (2016); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 466, No. 1, 20-24 (2016).
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A hybrid scheme of the discrete sources method for analyzing boundary value problems of nano-optics. (English. Russian original) Zbl 1343.78010

Mosc. Univ. Comput. Math. Cybern. 40, No. 1, 1-9 (2016); translation from Vestn. Mosk. Univ., Ser. XV 2016, No. 1, 3-10 (2016).
MSC:  78A45 82D80 35Q60 35B45 78M25
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Allowance for the nonlocal interaction of plasmonic particles in the discrete sources method. (English. Russian original) Zbl 1329.82152

Dokl. Math. 91, No. 2, 222-226 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 461, No. 2, 146-150 (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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Method of integral equations in the spectral domain for the analysis of plane defects of a substrate. (English. Russian original) Zbl 1315.78008

Differ. Equ. 50, No. 9, 1173-1181 (2014); translation from Differ. Uravn. 50, No. 9, 1187-1195 (2014).
MSC:  78A45 78M25 45E10 45K05 65R20
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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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Justification of an integro-functional method for the analysis of plasmonic structures. (English. Russian original) Zbl 1291.78037

Differ. Equ. 49, No. 9, 1126-1133 (2013); translation from Differ. Uravn. 49, No. 9, 1163-1169 (2013).
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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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Mathematical model of an optical antenna based on the discrete sources method. (English. Russian original) Zbl 1253.78030

Mosc. Univ. Comput. Math. Cybern. 35, No. 1, 22-29 (2011); translation from Vestn. Mosk. Univ., Ser. XV 2011, No. 1, 25-31 (2011).
MSC:  78A50 82D80 35Q60 78M25 33C10 78A60
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Justification of integral representations for fields in a diffraction problem on a cluster of particles in a plane-layered medium. (English. Russian original) Zbl 1235.78014

Differ. Equ. 47, No. 9, 1297-1306 (2011); translation from Differ. Uravn. 47, No. 9, 1284-1293 (2011).
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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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Justification of an integro-functional method for diffraction problems in the presence of a half-space. (English. Russian original) Zbl 1162.65058

Differ. Equ. 44, No. 9, 1281-1288 (2008); translation from Differ. Uravn. 44, No. 9, 1223-1239 (2008).
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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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Light scattering by systems of particles. Null-field method with discrete sources – theory and programs. With CD-ROM. (English) Zbl 1163.78002

Springer Series in Optical Sciences 124. Berlin: Springer (ISBN 3-540-33696-6/hbk). xiii, 322 p. (2006).
MSC:  78-02 78A45 78M25 65D30 65R30 35Q60 35P25
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Models of radiation scattering by crystalline plates on the basis of the method of integral representations for fields. (English. Russian original) Zbl 1123.78007

Differ. Equ. 41, No. 9, 1333-1342 (2005); translation from Differ. Uravn. 41, No. 9, 1261-1269 (2005).
MSC:  78A45
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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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A mathematical erythrocyte model based on weak solutions of integral equations. (English. Russian original) Zbl 1079.92019

Differ. Equ. 40, No. 9, 1233-1243 (2004); translation from Differ. Uravn. 40, No. 9, 1166-1175 (2004).
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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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Analysis of light scattering by rough particles on the basis of integral representations of fields. (English. Russian original) Zbl 1078.78007

Differ. Equ. 39, No. 9, 1308-1315 (2003); translation from Differ. Uravn. 39, No. 9, 1240-1246 (2003).
MSC:  78A45
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Strict and approximate models of a scratch on the basis of the method of integral equations. (English. Russian original) Zbl 1020.78002

Differ. Equ. 37, No. 10, 1459-1467 (2001); translation from Differ. Uravn. 37, No. 10, 1386-1394 (2001).
MSC:  78A45 78A10 65R10
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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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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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Simulation of light scattering by a nonaxisymmetric particle on a substrate. (English. Russian original) Zbl 0979.78014

Mosc. Univ. Comput. Math. Cybern. 1998, No. 2, 15-23 (1998); translation from Vestn. Mosk. Univ., Ser. XV 1998, No. 2, 12-17 (1998).
MSC:  78A45 78M10 65R20
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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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Linearization of the diffraction tomography problem through construction of a scattering matrix. (English. Russian original) Zbl 0943.78005

Comput. Math. Math. Phys. 37, No. 4, 447-451 (1997); translation from Zh. Vychisl. Mat. Mat. Fiz. 37, No. 4, 459-463 (1997).
MSC:  78A45 78M20 35Q60
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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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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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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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Construction of complete systems in diffraction theory. (English. Russian original) Zbl 0655.65135

U.S.S.R. Comput. Math. Math. Phys. 27, No. 3, 200-203 (1987); translation from Zh. Vychisl. Mat. Mat. Fiz. 27, No. 6, 945-949 (1987).
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The method of fundamental solutions in problems of diffraction of electromagnetic waves by bodies of revolution. (English. Russian original) Zbl 0584.35081

Transl., Ser. 2, Am. Math. Soc. 125, 51-65 (1985); translation from Vychisl. Metody Program 32, 28-44 (1980).
Reviewer: R.Millar
MSC:  35P25 78A45 35C15
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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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