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Eremin Yurii Aleksandrovich

Publications in Math-Net.Ru

  1. On the influence of the dynamic diffusion coefficient with Feibelman parameter on the quantum nonlocal effect of hybrid plasmon nanoparticles

    Matem. Mod., 36:1 (2024),  11–24
  2. Analysis of the influence of quantum effects on optical characteristics of plasmonic nanoparticles based on the discrete sources method

    Zh. Vychisl. Mat. Mat. Fiz., 63:11 (2023),  1911–1921
  3. Numerical analysis of the functional properties of the 3D resonator of a plasmon nanolaser with regard to nonlocality and prism presence via the Discrete Sources method

    Computer Optics, 45:3 (2021),  331–339
  4. Influence of spatial dispersion in metals on the optical characteristics of bimetallic plasmonic nanoparticles

    Optics and Spectroscopy, 129:8 (2021),  1079–1087
  5. Semi-classical models of quantum nanoplasmonics based on the discrete source method (Review)

    Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021),  580–607
  6. Method for analyzing the influence of the quantum nonlocal effect on the characteristics of a plasmonic nanolaser

    Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  24–28
  7. Mathematical model of plasmon nanolaser resonator accounting for the non-local effect

    Matem. Mod., 32:10 (2020),  21–33
  8. Analysis of the influence of nonlocality on the near field characteristics of a layered particle on a substrate

    Optics and Spectroscopy, 128:9 (2020),  1388–1395
  9. Mathematical model of fluorescence processes accounting for the quantum effect of non-local screening

    Matem. Mod., 31:5 (2019),  85–102
  10. Discrete source method for the study of influence nonlocality on characteristics of the plasmonic nanolaser resonators

    Zh. Vychisl. Mat. Mat. Fiz., 59:12 (2019),  2175–2184
  11. Quantum effects on optical properties of a pair of plasmonic particles separated by a subnanometer gap

    Zh. Vychisl. Mat. Mat. Fiz., 59:1 (2019),  118–127
  12. Non-local effect influence on the scattering properties of non-spherical plasmonic nanoparticles on a substrate

    Matem. Mod., 30:4 (2018),  121–138
  13. Mathematical model taking into account nonlocal effects of plasmonic structures on the basis of the discrete source method

    Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018),  586–594
  14. Near field formation via colloid particles in the problems of silicon substrates nanoprocessing

    Matem. Mod., 29:6 (2017),  103–114
  15. Generalization of the optical theorem to multipole sources in the scattering theory of electromagnetic waves

    Zh. Vychisl. Mat. Mat. Fiz., 57:7 (2017),  1176–1183
  16. Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures

    Zh. Vychisl. Mat. Mat. Fiz., 56:1 (2016),  133–141
  17. New conception of the discrete sources method in the electromagnetic scattering problems

    Matem. Mod., 27:8 (2015),  3–12
  18. Analysis of double surface plasmon resonance by the discrete source method

    Zh. Vychisl. Mat. Mat. Fiz., 54:8 (2014),  1289–1298
  19. Analysis of scattering properties of embedded particles by applying the discrete sources method

    Zh. Vychisl. Mat. Mat. Fiz., 52:9 (2012),  1666–1675
  20. Study of extraordinary scattering of evanescent waves by the discrete sources method

    Zh. Vychisl. Mat. Mat. Fiz., 51:9 (2011),  1712–1720
  21. Null field method in wave diffraction problems

    Zh. Vychisl. Mat. Mat. Fiz., 51:8 (2011),  1490–1494
  22. The new mathematical model for the analysis of subtle substrate imperfections

    Matem. Mod., 22:5 (2010),  122–130
  23. Analysis of the correlation between plasmon resonance and the effect of the extremal leaking of energy by the discrete source method

    Zh. Vychisl. Mat. Mat. Fiz., 50:3 (2010),  532–538
  24. Extraordinary optical transmission through a conducting film with a nanometric inhomogeneity in the evanescent wave region

    Dokl. Akad. Nauk, 424:1 (2009),  22–25
  25. Analysis of extraordinary optical transmission trough a conducting film by the discrete sources method

    Zh. Vychisl. Mat. Mat. Fiz., 49:1 (2009),  90–98
  26. Mathematical models in nanooptics and biophotonics based on the discrete sources method

    Zh. Vychisl. Mat. Mat. Fiz., 47:2 (2007),  269–287
  27. Reduced schemes for finding amplitudes in the discrete source method

    Differ. Uravn., 42:10 (2006),  1424–1427
  28. Models of Radiation Scattering by Crystalline Plates on the Basis of the Method of Integral Representations for Fields

    Differ. Uravn., 41:9 (2005),  1261–1269
  29. A mathematical erythrocyte model based on weak solutions of integral equations

    Differ. Uravn., 40:9 (2004),  1166–1175
  30. Transformation of evanescent waves near a layered bed

    Zh. Vychisl. Mat. Mat. Fiz., 44:4 (2004),  752–763
  31. Analysis of Light Scattering by Rough Particles on the Basis of Integral Representations of Fields

    Differ. Uravn., 39:9 (2003),  1240–1246
  32. The Method of Surface and Volume Integral Equations in Models of Oxide Particles on a Wafer

    Differ. Uravn., 38:9 (2002),  1247–1256
  33. Strict and Approximate Models of a Scratch on the Basis of the Method of Integral Equations

    Differ. Uravn., 37:10 (2001),  1386–1394
  34. Analysis of inhomogeneities on wafers by the integral transform method

    Differ. Uravn., 36:9 (2000),  1238–1247
  35. Analysis via discrete sources method of scattering properties of non-axisymmetric structures

    Matem. Mod., 12:8 (2000),  77–90
  36. A computer technique for analyzing scattering problems by the discrete source method

    Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1842–1856
  37. Construction of vibrocreep models of the threaded fastener by the true experiment results

    Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 7 (1999),  181–184
  38. Analysis of electromagnetic diffraction by three-dimensional bodies using the discrete-sources method

    Zh. Vychisl. Mat. Mat. Fiz., 39:12 (1999),  2050–2063
  39. Justification of the generalized schemes of the $T$-matrix method on the basis of integral transformations

    Differ. Uravn., 34:9 (1998),  1254–1259
  40. Mathematical models of defects of stratified structures based on Discrete Sources Method

    Fundam. Prikl. Mat., 4:3 (1998),  889–903
  41. Analysis of light scattering by hole in a film by discrete sources method

    Matem. Mod., 10:5 (1998),  81–90
  42. Investigation of silicon wafer defects by discrete sources method

    Matem. Mod., 9:8 (1997),  110–118
  43. Linearization of the diffraction tomography problem through construction of a scattering matrix

    Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997),  459–463
  44. A projective-iterative scheme for determining the amplitudes of discrete sources on the basis of dissipative matrices

    Zh. Vychisl. Mat. Mat. Fiz., 37:2 (1997),  223–229
  45. Analysis of mathematical model of silicon wafers contamination based on discrete sources method

    Matem. Mod., 8:10 (1996),  113–127
  46. Dissipative matrices in functional representations for wave fields

    Differ. Uravn., 31:9 (1995),  1581–1583
  47. The analysis of complex diffraction problems by the discrete-source method

    Zh. Vychisl. Mat. Mat. Fiz., 35:6 (1995),  918–934
  48. Quasi-solution conception of diffraction problems

    Matem. Mod., 6:6 (1994),  76–84
  49. Quasi-solution of boundary value problems of diffraction based on hypersingular equations

    Differ. Uravn., 29:9 (1993),  1602–1608
  50. An efficient method of analysing acoustic scatterers

    Zh. Vychisl. Mat. Mat. Fiz., 33:12 (1993),  1897–1902
  51. Analysis and synthesis of coverings of local scatterers by the discrete source method

    Dokl. Akad. Nauk, 323:6 (1992),  1086–1091
  52. The method of discrete sources in problems of wave scattering by several magnetodielectric bodies

    Dokl. Akad. Nauk, 322:3 (1992),  501–506
  53. Problems of recognition and synthesis in diffraction theory

    Zh. Vychisl. Mat. Mat. Fiz., 32:10 (1992),  1594–1607
  54. Synthesis of conduction of the surface of rotation with a desirable scattering properties

    Matem. Mod., 3:11 (1991),  59–64
  55. Quasisolution of vector problems of diffraction by screens based on iterative methods

    Zh. Vychisl. Mat. Mat. Fiz., 31:10 (1991),  1536–1543
  56. An iterative method for solving diffraction problems on the basis of dissipative operators

    Dokl. Akad. Nauk SSSR, 311:2 (1990),  335–338
  57. Development of the auxiliary sources methods in the electromagnetic difraction problems

    Matem. Mod., 2:12 (1990),  52–79
  58. Quasisolution of the problems of acoustical waves difraction on the fine 3-dimensional screens

    Matem. Mod., 2:6 (1990),  102–109
  59. Iterative method of quasisolution of 1st kind integral equation at the difraction theory

    Matem. Mod., 2:4 (1990),  133–142
  60. An iterative method of quasi-solution in problems of diffraction by dielectric bodies

    Zh. Vychisl. Mat. Mat. Fiz., 30:1 (1990),  99–106
  61. Conjugate equations in the method of auxiliary sources

    Dokl. Akad. Nauk SSSR, 302:4 (1988),  826–829
  62. On the problem of the existence of an invisible scatterer in diffraction theory

    Differ. Uravn., 24:4 (1988),  684–687
  63. The use of conjugate equations in the method of auxiliary sources

    Zh. Vychisl. Mat. Mat. Fiz., 28:6 (1988),  879–886
  64. On the existence of equivalent scatterers in inverse problems of diffraction theory

    Dokl. Akad. Nauk SSSR, 297:5 (1987),  1095–1099
  65. Construction of complete systems for investigating boundary value problems of mathematical physics

    Dokl. Akad. Nauk SSSR, 295:6 (1987),  1351–1354
  66. On the justification of a method for studying vector problems of diffraction by scatterers in a half space

    Zh. Vychisl. Mat. Mat. Fiz., 27:9 (1987),  1395–1401
  67. Construction of complete systems in diffraction theory

    Zh. Vychisl. Mat. Mat. Fiz., 27:6 (1987),  945–949
  68. The use of multipole sources in the method of nonorthogonal series in diffraction problems

    Zh. Vychisl. Mat. Mat. Fiz., 25:3 (1985),  466–470
  69. Representation of fields in the method of nonorthogonal series by sources in the complex plane

    Dokl. Akad. Nauk SSSR, 270:4 (1983),  864–866
  70. The method of nonorthogonal series in problems of electromagnetic diffraction of waves by coated bodies

    Dokl. Akad. Nauk SSSR, 268:6 (1983),  1358–1361
  71. Justification of the method of nonorthogonal series and the solution of some inverse problems of diffraction

    Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983),  738–742
  72. A method of nonorthogonal series in problems of electromagnetic wave diffraction

    Dokl. Akad. Nauk SSSR, 247:6 (1979),  1351–1354
  73. Investigation of the uniqueness of the solution of an inverse problem of diffraction theory

    Differ. Uravn., 15:12 (1979),  2205–2209
  74. A method of solving axisymmetric problems of the diffraction of electromagnetic waves by bodies of revolution

    Zh. Vychisl. Mat. Mat. Fiz., 19:5 (1979),  1344–1348
  75. Methods of solving problems of electromagnetic diffraction by an axisymmetric body, taking the geometry of the scatterer into account

    Dokl. Akad. Nauk SSSR, 228:6 (1976),  1290–1293
  76. Study of scalar diffraction at a locally inhomogeneous body by a projection method

    Zh. Vychisl. Mat. Mat. Fiz., 16:3 (1976),  800–804
  77. The projection method in exterior diffraction problems

    Dokl. Akad. Nauk SSSR, 221:1 (1975),  38–41
  78. The construction of stable difference schemes for second order linear differential operators of indefinite sign

    Zh. Vychisl. Mat. Mat. Fiz., 15:3 (1975),  635–643
  79. A numerical algorithm for solving the problem of diffraction by a locally inhomogeneous body

    Zh. Vychisl. Mat. Mat. Fiz., 14:2 (1974),  499–504

  80. Inverse problems in partial differential equations. Eds D. Colton, R. Ewing, W. Rundell. Proc. SIAM. Philadelphia, 1990. Book review

    Zh. Vychisl. Mat. Mat. Fiz., 32:7 (1992),  1149–1150

© Steklov Math. Inst. of RAS, 2024