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Eremin Yurii Aleksandrovich

Publications in Math-Net.Ru

  1. Study of features in the behavior of optical characteristics of paired nanoparticles taking into account quantum effects

    Optics and Spectroscopy, 133:7 (2025),  783–789
  2. Study of resonance properties of paired nanoparticles with mesoscopic boundary conditions by the discrete source method

    Zh. Vychisl. Mat. Mat. Fiz., 65:7 (2025),  1277–1285
  3. On the influence of the dynamic diffusion coefficient with Feibelman parameter on the quantum nonlocal effect of hybrid plasmon nanoparticles

    Mat. Model., 36:1 (2024),  11–24
  4. Comparative analysis of the influence of surface quantum effects on optical characteristics of alkali and noble metallic nanoparticles

    Zh. Vychisl. Mat. Mat. Fiz., 64:7 (2024),  1305–1313
  5. Influence of surface quantum effects on optical characteristics of a pair of plasmonic nanoparticles

    Optics and Spectroscopy, 131:8 (2023),  1142–1148
  6. 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
  7. Investigation of the effect of spatial dispersion in a metal shell of a non-spherical magnetoplasmonic nanoparticle

    Optics and Spectroscopy, 130:10 (2022),  1596–1602
  8. 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
  9. Influence of spatial dispersion in metals on the optical characteristics of bimetallic plasmonic nanoparticles

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

    Zh. Vychisl. Mat. Mat. Fiz., 61:4 (2021),  580–607
  11. 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
  12. Mathematical model of plasmon nanolaser resonator accounting for the non-local effect

    Mat. Model., 32:10 (2020),  21–33
  13. 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
  14. Mathematical model of fluorescence processes accounting for the quantum effect of non-local screening

    Mat. Model., 31:5 (2019),  85–102
  15. 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
  16. 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
  17. Non-local effect influence on the scattering properties of non-spherical plasmonic nanoparticles on a substrate

    Mat. Model., 30:4 (2018),  121–138
  18. 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
  19. Near field formation via colloid particles in the problems of silicon substrates nanoprocessing

    Mat. Model., 29:6 (2017),  103–114
  20. 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
  21. Discrete source method for analysis of fluorescence enhancement in the presence of plasmonic structures

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

    Mat. Model., 27:8 (2015),  3–12
  23. Analysis of double surface plasmon resonance by the discrete source method

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

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

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

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

    Mat. Model., 22:5 (2010),  122–130
  28. 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
  29. Extraordinary optical transmission through a conducting film with a nanometric inhomogeneity in the evanescent wave region

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

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

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

    Differ. Uravn., 42:10 (2006),  1424–1427
  33. 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
  34. A mathematical erythrocyte model based on weak solutions of integral equations

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

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

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

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

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

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

    Mat. Model., 12:8 (2000),  77–90
  41. A computer technique for analyzing scattering problems by the discrete source method

    Zh. Vychisl. Mat. Mat. Fiz., 40:12 (2000),  1842–1856
  42. 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
  43. Analysis of electromagnetic diffraction by three-dimensional bodies using the discrete-sources method

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

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

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

    Mat. Model., 10:5 (1998),  81–90
  47. Investigation of silicon wafer defects by discrete sources method

    Mat. Model., 9:8 (1997),  110–118
  48. Linearization of the diffraction tomography problem through construction of a scattering matrix

    Zh. Vychisl. Mat. Mat. Fiz., 37:4 (1997),  459–463
  49. 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
  50. Analysis of mathematical model of silicon wafers contamination based on discrete sources method

    Mat. Model., 8:10 (1996),  113–127
  51. Dissipative matrices in functional representations for wave fields

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

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

    Mat. Model., 6:6 (1994),  76–84
  54. Quasi-solution of boundary value problems of diffraction based on hypersingular equations

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

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

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

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

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

    Mat. Model., 3:11 (1991),  59–64
  60. Quasisolution of vector problems of diffraction by screens based on iterative methods

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

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

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

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

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

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

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

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

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

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

    Dokl. Akad. Nauk SSSR, 295:6 (1987),  1351–1354
  71. 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
  72. Construction of complete systems in diffraction theory

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

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

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

    Dokl. Akad. Nauk SSSR, 268:6 (1983),  1358–1361
  76. 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
  77. A method of nonorthogonal series in problems of electromagnetic wave diffraction

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

    Differ. Uravn., 15:12 (1979),  2205–2209
  79. 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
  80. 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
  81. Study of scalar diffraction at a locally inhomogeneous body by a projection method

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

    Dokl. Akad. Nauk SSSR, 221:1 (1975),  38–41
  83. 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
  84. A numerical algorithm for solving the problem of diffraction by a locally inhomogeneous body

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

  85. 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, 2026