Graduated from physics faculty, Leningrad University, 1971.
PhD in mathematical physics supervised by V.M.Babich: Point sources and focuses in inhomogeneous media, Leningard branch of Steklov math. Institute, 1977.
Dr Sci Dissertation in mechanics of deformable solid body: Ray method and "nonray phenomena" in the theory of elastic waves, faculty of mathematics and mechanics of St. Petersburg State University, 1991.
Main publications:
Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018
A. P. Kiselev, “Localized light waves: Paraxial and exact solutions of the wave equation (a review)”, Optics and Spectroscopy, 102:4 (2007), 603–622
A. P. Kiselev, “Rayleigh wave with a transverse structure”, Proc. Roy. Soc. London, Ser. A, 460:2050 (2004), 3059-3064
A. P. Kiselev, M. V. Perel, “Highly localized solutions of the wave equation”, Journal of Mathematical Physics, 41:4 (2000), 1934–1955
A. B. Plachenov, A. P. Kiselev, “Odnonapravlennye impulsy: otnositelno neiskazhayuschiesya kvazisfericheskie volny, integraly Fure−Besselya i razlozheniya po ploskim volnam”, Optika i Spektroskopiya, 132:4 (2024), 429–433 , arXiv: 2403.09694v3
2.
A. B. Plachenov, I. A. So, A. P. Kiselev, “Simple unidirectional few-cycle electromagnetic pulses”, Journal of the Optical Society of America B, 41:11 (2024), 2606–2612
A. B. Plachenov, A. P. Kiselev, “A Finite-Energy Solution of the Wave Equation,
Whose Asymptotics at Infinity Is Not a Spherical Wave”, Differential Equations, 60:11 (2024), 1634–1636
4.
E. A. Zlobina, N. S. Fedorov, A. P. Kiselev, “Paraxial wave propagation along a delta potential”, Proceedings of the International Conference “Days on Diffraction 2024” (St. Petersburg,10-14 June, 2024), IEEE, 2024, 158–161
5.
A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Nonparaxial tilted waveobjects”, Journal of Lightwave Technology, 41:7 (2023), 2212 –2224
E. A. Zlobina, A. P. Kiselev, “Diffraction of a Whispering Gallery Mode at a Jumply Straightening of the Boundary”, Acoustical Physics, 69:2 (2023), 133–142
E. A. Zlobina, A. P. Kiselev, “Fresnel-type transition zones”, Journal of Communications Technology and Electronics, 68:6 (2023), 639–648
9.
I. A. Blagoveshchenskii, A. P. Kiselev, “Singular astigmatic splash pulse is a solution of the homogeneous wave equation”, Mathematical problems in the theory of wave propagation. Part 53, Zap. Nauchn. Sem. POMI, 521, POMI, St. Petersburg, 2023, 54–58
10.
A. S. Blagoveshchensky, E. A. Zlobina, A. P. Kiselev, “Two-dimensional analogs of the classical Bateman wave are solutions of problems with moving sources”, Differential Equations, 58:2 (2022), 275–279
11.
E. A. Zlobina, A. P. Kiselev, “Transition zone in high-frequency diffraction on impedance contour with jumping curvature. Kirchhoff’s method and boundary layer method”, Journal of Communications Technology and Electronics, 67:2 (2022), 130–139
12.
E. A. Zlobina, A. P. Kiselev, “Short-wavelength diffraction by a contour with Hölder-type singularity in curvature”, St. Petersburg Math. J., 33:2 (2022), 207–222
13.
A. B. Plachenov, P. Chamorro-Posada, A. P. Kiselev, “Quadratic Bessel–Gauss beams and the azimuthal angular spectra of Gaussian astigmatic beams”, Physical Review A, 102:2 (2020), 023533 , 11 pp.
I. A. So, A. B. Plachenov, A. P. Kiselev, “Unidirectional single-cycle and sub-cycle pulses”, Optics and Spectroscopy, 128:12 (2020), 2000-2001
17.
A. S. Blagoveshchenskii, A. P. Kiselev, “Bateman–Hörmander Two-Dimensional Waves with a Singularity at a Running Point”, Math. Notes, 106:5 (2019), 846–849
18.
E. A. Zlobina, A. P. Kiselev, “Two-dimensional singular splash modes”, Mathematical problems in the theory of wave propagation. Part 49, Zap. Nauchn. Sem. POMI, 483, POMI, St. Petersburg, 2019, 79–84
19.
I. A. So, A. P. Kiselev, A. B. Plachenov, “Gaussian-type beams in longitudinally inhomogeneous, lens-like media. Gradual transition from waveguide to antiwaveguide”, Europhysics Letters, 127:6 (2019), 64002 , 5 pp.
A. P. Kiselev, A. B. Plachenov, “Astigmatic Gaussian beams: Exact solutions of the Helmholtz equation in free space”, Journal of Physics Communications, 3:11 (2019), 115004 , 7 pp.
A. M. Tagirdzhanov, A. P. Kiselev, “Nonintegrability of the energy density of "complex sources wavefields”, 2019 Days on Diffraction (St.Petersburg 2019), eds. O. V. Motygin, A. P. Kiselev, L. I. Goray, A. A. Fedotov, A. Ya. Kazakov, A. S. Kirpichnikova, IEEE, 2019, 201–203
22.
E. A. Zlobina, A. P. Kiselev, “High-frequency diffraction by a contour with a jump of curvature. Limit ray”, J. Math. Sci. (N. Y.), 243:5 (2019), 707–714
23.
J. Math. Sci. (N. Y.), 243:5 (2019), 682–688
24.
A. P. Kiselev, “Erratum to: “Time-harmonic Gaussian beams: exact solutions of the Helmhotz equation in free space””, Optics and Spectroscopy, 124:3 (2018), 450
25.
A. S. Blagoveshchenskii, A. P. Kiselev, “A relation between two simple localized solutions of the wave equation”, Comput. Math. Math. Phys., 57:6 (2017), 953–955
26.
A. P. Kiselev, A. B. Plachenov, G. N. Dyakova, “On the analyticity of waveforms in complexified relatively undistorted progressing waves”, Journal of Electromagnetic Waves and Applications, 31:13 (2017), 1325–1332
A. B. Plachenov, I. A. So, A. P. Kiselev, “Paraxial Gaussian modes with simple astigmatic phases and nonpolynomial amplitudes”, 2017 Days on Diffraction (St.Petersburg, June 19–23), 264–269, eds. O. V. Motygin, A. P. Kiselev, L. I. Goray, T. A. Suslina, A. Ya. Kazakov, A. S. Kirpichnikova, IEEE, 2017, 264–269
A. P. Kiselev, “General surface waves in layered anisotropic elastic structures”, J. Math. Sci. (N. Y.), 224:1 (2017), 90–93
29.
A. S. Blagovestchenskii, A. P. Kiselev, A. M. Tagirdzhanov, “Simple solutions of the wave equation, singular at a ranning point, based on the complexified Bateman solution”, J. Math. Sci. (N. Y.), 224:1 (2017), 47–53
30.
A. M. Tagirdzhanov, A. P. Kiselev, “Complexified Spherical Waves and Their Sources. A Review”, Optics and Spectroscopy, 119:2 (2015), 257–267
31.
A. P. Kiselev, A. M. Tagirdzhanov, “Paradoxical Properties of Nonstationary Wavefields of Point Sources in Isotropic Elastic Medium”, Acoustical Physics, 61:4 (2015), 388–391
32.
A. M. Tagirdzhanov, A. P. Kiselev, “Gaussian wave packet based on the “complex source””, J. Math. Sci. (N. Y.), 214:3 (2016), 372–381
33.
A. M. Tagirdzhanov, A. S. Blagovestchenskii, A. P. Kiselev, “Time-harmonic “complex source” wavefields and their sources in real space”, J. Math. Sci. (N. Y.), 206:3 (2015), 315–327
34.
Babich V. M., Kiselev A. P., Elastic Waves: High Frequency Theory, CRC Press, Taylor & Chapman, Boca Raton – London – New York, 2018
35.
A. P. Kiselev, A. B. Plachenov, P. Chamorro-Posada, “Nonparaxial wave beams and packets with general astigmatism”, Physical Review A, 85:4 (2012), 043835 , 11 pp.
A. P. Kiselev, A. B. Plachenov, “Exact solutions of the $m$-dimensional wave equation from paraxial ones. Further generalization of the Bateman solution”, J. Math. Sci. (N. Y.), 185:4 (2012), 605–610
37.
A. M. Tagirdzhanov, A. S. Blagovestchenskii, A. P. Kiselev, “"Complex source wavefields: sources in real space”, Journal of Physics A: Mathematical and Theoretical, 44:42 (2011), 425203 , 15 pp.
A. P. Kiselev, D. F. Parker, “Omni-directional Rayleigh, Stoneley and Schölte waves with general time-dependence”, Proc. Roy. Soc. London, Ser. A, 466:2120 (2010), 2241–2258
A. P. Kiselev, G. A. Rogerson, “Laterally dependent surface waves in an elastic medium with a general depth dependence”, Wave Motion, 46:8 (2009), 539–547
40.
I. V. Kamotskii, A. P. Kiselev, “An energy approach to the proof of the existence of Rayleigh waves in an anisotropic elastic half-space”, Journal of Applied Mathematics and Mechanics (PMM), 73:4 (2009), 464–470
41.
A. L. Shuvalov, O. Poncelet, A. P. Kiselev, “Shear horizontal waves in transversely inhomogeneous plates”, Wave Motion, 45:5 (2008), 605–615
A. P. Kiselev, A. M. Tagirdzhanov, “Love Waves with a Transverse Structure”, Vestnik St. Petersburg University. Mathematics, 41:3 (2008), 136–143
44.
A. P. Kiselev, E. Ducasse, M. Deschamps, A. Darinskii, “Novel exact surface wave solutions for layered structures”, Comptes Rendus Mecanique, 335:8 (2007), 419–422
A. P. Kiselev, “Localized light waves: Paraxial and exact solutions of the wave equation (a review)”, Optics and Spectroscopy, 102:4 (2007), 603–622
46.
A. P. Kiselev, “Relatively undistorted cylindrical waves depending on three spatial variables”, Math. Notes, 79:4 (2006), 587–588
47.
J. Math. Sci. (N. Y.), 142:6 (2007), 2571–2575
48.
E. Bécache, A. P. Kiselev, “Non-stationary elastic wavefields from an apodized normal transducer. Near-field asymptotics and numerics”, Acta Acustica united with Acustica, 91:5 (2006), 822–830
49.
A. P. Kiselev, “Rayleigh wave with a transverse structure”, Proc. Roy. Soc. London, Ser. A, 460:2050 (2004), 3059-3064
A. P. Kiselev, “New Structures in Paraxial Gaussian Beams”, Optics and Spectroscopy, 96:4 (2004), 479–481
51.
V. M. Babich, A. P. Kiselev, “"Nongeometrical phenomena in propagation of elastic surface waves”, Surface Waves in Anisotropic and Laminated Bodies and Defects Detection, eds. R. V. Goldstein, G. A. Maugin, Kluver, 2004, 119–129
A. P. Kiselev, V. O. Yarovoy, E. A. Vsemirnova, “Polarization anomalies of elastic waves. Caustic and penumbra”, J. Math. Sci. (N. Y.), 127:6 (2005), 2413–2423
53.
A. P. Kiselev, “Generalization of Bateman–Hillion progressive wave and Bessel–Gauss pulses solutions of the wave equation via a separation of variables”, Journal of Physics A: Mathematical and General, 36:23 (2003), L345–L349
A. P. Kiselev, “A new attenuation factor for the Bateman nondispersive wave solution”, Journal of Electromagnetic Waves and Applications, 17:1 (2003), 115–120
V. M. Babich, A. P. Kiselev, J. M. H. Lawry, A. S. Starkov, “A ray description of all wavefields generated by a high–frequency point source near an interface”, SIAM Journal on Applied Mathematics, 62:1 (2001), 21–40
A. P. Kiselev, “Body waves in a weakly anisotropic medium. – II. S wave from a centre of expansion and P wave from a centre of rotation”, Geophys. J. Intern., 145:3 (2001), 714–720
I. V. Lindell, A. P. Kiselev, “Polyadic methods in elastodynamics”, Progress in Electromagnetics Research, 31 (2001), 113–154
62.
M. V. Perel', I. V. Fialkovskii, A. P. Kiselev, “Resonance interaction of bending and shear modes in a non-uniform Timoshenko beam”, J. Math. Sci. (New York), 111:5 (2002), 3775–3790
63.
A. P. Kiselev, A. S. Starkov, “Parabolic equation and Pearcey-type integral for a transmitted wavefield”, J. Math. Sci. (New York), 111:4 (2002), 3702–3707
64.
A. P. Kiselev, M. V. Perel, “Highly localized solutions of the wave equation”, Journal of Mathematical Physics, 41:4 (2000), 1934–1955
A. P. Kiselev, A. A. Klimova, “Plane shear wave emitted into elastic half space by an oscillating nonuniform normal pressure”, J. Math. Sci. (New York), 108:5 (2002), 703–709
67.
A. P. Kiselev, “Nondispersive edge modes”, Wave Motion, 28:2 (1999), 111–117
L. Ju. Fradkin, A. P. Kiselev, E. Krylova, “The radiating near–field asymptotics of a normal time–harmonic circular ultrasonic transducer in an elastic half–space”, J. Acoust. Soc. Amer., 104:3 (1998), 1178–1187
A. P. Kiselev, M. V. Perel, “Asymptotic theory of local degeneration of Love and Rayleigh modes”, Spectral and Evolutionary Problems, Proceedings of the 8th Crimean Autumn Mathematical School-Symposium (Sevastopol, September 18–29, 1997), Tavria, Simferopol, 1998, 142–146
72.
A. P. Kiselev, M. V. Perel', “On the nature of “quasiphotons””, J. Math. Sci. (New York), 96:4 (1999), 3355–3358
73.
A. V. Aref'ev, A. P. Kiselev, “Viscoelastic Love waves in a layered structure with a weak lateral inhomogeneity”, J. Math. Sci. (New York), 96:4 (1999), 3289–3291
74.
L. Ju. Fradkin, A. P. Kiselev, “The two–component representations of time-harmonic elastic body waves at high– and intermediate-frequency regimes”, J. Acoust. Soc. Amer., 101:1 (1997), 52–65
A. P. Kiselev, V. A. Lazarev, “Bouncing of the load and radiation of sound in dry friction”, Tech. Phys., 42:5 (1997), 581–583
76.
A. P. Kiselev, E. Krylova, L. Yu. Fradkin, “Excitation of a quasi-plane shear wave by a surface acoustic source producing normal stresses”, Sov. Tech. Phys. Lett., 23:12 (1997), 941–942
77.
A. V. Aref'ev, A. P. Kiselev, “Viscoelastic Rayleigh waves in a layered structure with a weak lateral inhomogeneity”, J. Math. Sci. (New York), 91:2 (1998), 2701–2705
78.
A. P. Kiselev, V. O. Yarovoy, “Diffraction, interference and depolarization of elastic waves: I. Polarization anomalies near a low-contrast interface”, Phys. Solid Earth, 30:11 (1995), 960–966
79.
A. P. Kiselev, “Body waves in a weakly anisotropic medium. – I. Plane waves”, Geophys. J. Intern., 118:2 (1994), 393–400
A. P. Kiselev, “Higher-order terms of the ray theory and “non-geometrical phenomena” in
inhomogeneous viscoelastic media”, Phys. Solid Earth, 28:11 (1992), 946–948
82.
A. P. Kiselev, Yu. V. Roslov, “Use of additional components for numerical modelling of polarization anomalies of elastic body waves”, Sov. Geol. Geophys., 32:4 (1991), 105–114
83.
N. Ya. Kirpichnikova, A. P. Kiselev, “On anomalous polarization of Love and Rayleigh elastic surface waves in a layered structure”, J. Math. Sci., 73:3 (1995), 383–384
84.
N. Ya. Kirpichnikova, A. P. Kiselev, “Depolarization of elastic waves in a vertically inhomogeneous half-space”, Soviet Physics – Acoustics, 36:1 (1990), 96–97
85.
A. P. Kiselev, I. D. Tsvankin, “On the comparison of numerical and asymptotic methods for computation of elastic wave fields”, Dokl. Akad. Nauk SSSR, 304:1 (1989), 61–65
86.
V. M. Babich, A. P. Kiselev, “Non-geometrical waves – are there any? An asymptotic description of some "nongeometrical phenomena in seismic wave propagation”, Geophys. J. Intern., 99:2 (1989), 415–420
A. P. Kiselev, “Point sources of vibration in a weakly anisotropic elastic medium”, Sov. Phys. – Dokl., 33:6 (1988), 466–467
89.
V. M. Babich, A. P. Kiselev, “Ray description of the "nongeometrical S* wave”, Izv. Acad. Sci. USSR. Phys. Solid Earth, 24:10 (1988), 817–820
90.
A. P. Kiselev, “The influence of the elastic medium inhomogeneity on the excitation of shear waves by a cylindrical emitter”, Dokl. Akad. Nauk SSSR, 293:2 (1987), 330–332
91.
N. Ya. Kirpichnikova, A. P. Kiselev, “Polarization spectral anomalies of surface waves in an almost layered elastic half-space”, Mathematical problems in the theory of wave propagation. Part 17, Zap. Nauchn. Sem. LOMI, 165, “Nauka”, Leningrad. Otdel., Leningrad, 1987, 102–114
92.
A. P. Kiselev, “Depolarization in diffraction”, Sov. Phys. Tech. Phys., 32:6 (1987), 695–696
93.
V. E. Grikurov, A. P. Kiselev, “Gaussian beams at large distances”, Radiophysics and Quantum Electronics, 29:3 (1986), 233–238
94.
A. P. Kiselev, “Effect of inhomogeneity of the medium on the directivity of the simplest sources of elastic waves”, J. Soviet Math., 32:2 (1986), 154–162
95.
A. P. Kiselev, “Propagation of Gaussian beams along the edge of the wedge”, Sov. Tech. Phys. Lett., 10:11 (1984), 581–582
96.
A. P. Kiselev, “Slender cylindric emitter in an inhomogeneous elastic medium”, Sov. Phys. – Tech. Phys., 29:2 (1984), 209–215
97.
A. P. Kiselev, “Energeticheskii balans tochechnykh istochnikov uprugikh voln v plavno-neodnorodnoi srede”, ZhTF, 53:2 (1983), 224–229
98.
A. P. Kiselev, “Modulated Gaussian beams”, Radiophys. Quantum Electron., 26:5 (1983), 755–761
99.
A. P. Kiselev, “Small spherical emitter in an inhomogeneous elastic medium”, Mech. Solids, 17:4 (1982), 106–114
100.
A. P. Kiselev, “Excitation of modulated waves in inhomogenious media”, J. Soviet Math., 20:1 (1982), 1818–1825
101.
A. P. Kiselev, “Edge waves”, Sov. Tech. Phys. Lett., 7:3 (1981), 119–120
102.
A. P. Kiselev, “High-frequency point sources in an inhomogeneous elastic medium”, J. Soviet Math., 20:5 (1982), 2407–2418
103.
A. P. Kiselev, “Focal boundary layer in axisymmetrical diffraction problems”, Radiophysics and Quantum Electronics, 23:3 (1980), 241–252
104.
A. P. Kiselev, “Elastic energy flow”, J. Soviet Math., 19:4 (1982), 1372–1375
105.
A. P. Kiselev, “Diffraction by a wedge with a circular cap”, Journal of Applied Mathematics and Mechanics (PMM), 41:5 (1977), 981–984
106.
A. P. Kiselev, “Electromagnetic field in a neighborhood of a focus”, J. Soviet Math., 11:5 (1979), 744–752
107.
P. F. Parshin, V. M. Arkhipov, A. A. Bytsenko, A. P. Kiselev, “Common periodic interference modulation properties in a Fourier spectrometer and a spectrometer with interference selective amplitude modulation”, Applied Spectroscopy, 24:5 (1976), 878–885
108.
A. P. Kiselev, “Focusing of the WKB-solutions of the equation $[\Delta+k^2n^2(x)]u=0$, $k\to\infty$”, Mathematical problems in the theory of wave propagation. Part 7, Zap. Nauchn. Sem. LOMI, 51, “Nauka”, Leningrad. Otdel., Leningrad, 1975, 123–128
109.
A. P. Kiselev, “O nachalnykh dannykh dlya luchevykh for- mul, opisyvayuschikh polya tochechnykh istochnikov v neodnorodnykh uprugikh sredakh”, Voprosy dinamicheskoi teorii rasprostraneniya seismicheskikh voln, 15, eds. G. I. Petrashen, L., Nauka, 1975, 6–27
110.
A. P. Kiselev, “High-frequency point sources in inhomogeneous isotropic elastic medium”, Sov. Phys. Doklady, 19:4 (1974), 855–856
111.
A. P. Kiselev, “High-frequency source between the branches of hyperbola”, Mathematical problems in the theory of wave propagation. Part 4, Zap. Nauchn. Sem. LOMI, 25, “Nauka”, Leningrad. Otdel., Leningrad, 1972, 79–100
112.
M. I. Belishev, S. Yu. Dobrokhotov, I. A. Ibragimov, A. P. Kiselev, S. V. Kislyakov, M. A. Lyalinov, Yu. V. Matiyasevich, V. G. Romanov, V. P. Smyshlyaev, T. A. Suslina, N. N. Ural'tseva, “Vasilii Mikhailovich Babich (on his ninetieth birthday)”, Russian Math. Surveys, 76:1 (2021), 193–194
113.
A. P. Kiselev, T. A. Suslina, “Preface”, Algebra i Analiz, 33:2 (2021), 3–4
114.
V. M. Babich, M. I. Belishev, M. N. Demchenko, G. L. Zavorokhin, V. V. Zalipaev, N. Ya. Kirpichnikova, A. P. Kiselev, D. V. Korikov, A. S. Mikhailov, S. A. Simonov, Z. A. Yanson, “Mikhail Mikhailovich Popov”, Mathematical problems in the theory of wave propagation. Part 51, Zap. Nauchn. Sem. POMI, 506, POMI, St. Petersburg, 2021, 7–8
115.
I. A. Ibragimov, A. M. Il'in, A. P. Kiselev, S. V. Kislyakov, L. D. Faddeev, “Vasilii Mikhailovich Babich (on his eightieth birthay)”, Russian Math. Surveys, 66:1 (2011), 205–208
116.
V. M. Babich, A. P. Kiselev, “Conference Days on Diffraction – the successor of All Union symposia and schools on diffracion theory”, J. Math. Sci. (N. Y.), 175:6 (2011), 621–622
117.
V. S. Buldyrev, A. M. Vershik, I. A. Ibragimov, A. M. Il'in, A. P. Kiselev, L. D. Faddeev, “Vasilii Mikhailovich Babich (on his 70th birthday)”, Russian Math. Surveys, 57:3 (2002), 627–635
118.
A. P. Kiselev, A. A. Klimova, “Plane shear wave emitted into elastic half space by an oscillating nonuniform normal pressure”, J. Math. Sci. (N. Y.), 117:2 (2003), 3947
119.
A. P. Kiselev, Dokl. Akad. Nauk SSSR, 226:3 (1976), 496
Contact us: