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Plachenov, Alexandr Borisovich

Statistics Math-Net.Ru
Total publications: 8
Scientific articles: 8

Number of views:
This page:239
Abstract pages:853
Full texts:333
References:57
Associate professor
Candidate of physico-mathematical sciences (1984)
Speciality: 01.04.02 (Theoretical physics)
Birth date: 17.01.1957
E-mail:
Keywords: diffraction, wave propagation, asymptotics, wave guide, resonator, cavity.
UDC: 517.9, 634.26, 538.566, 534.26, 517.95

Subject:

Mathematical problems in the theory of wave propagation.

   
Main publications:
  1. A. B. Plachenov, “Nestatsionarnye normalnye volny tonkogo izognutogo volnovoda v mnogoluchevoi oblasti (ravnomernaya asimptotika)”, Interferentsionnye volny v sloistykh sredakh. I, Zap. nauchn. sem. LOMI, 99, Izd-vo «Nauka», Leningrad. otd., L., 1980, 127–137  mathnet  mathscinet  zmath
  2. V. N. Kudashov, A. B. Plachenoe, A. M. Radin, “Fundamentalnaya poperechnaya moda trekhmernogo koltsevogo rezonatora, soderzhaschego selektiruyuschie elementy”, Optika i spektroskopiya, 93:5 (2002), 843–852
  3. V. N. Kudashov, A. B. Plachenov, A. M. Radin, “Mody trekhmernykh opticheskikh rezonatorov, soderzhaschikh selektiruyuschie elementy”, Zhurnal tekhnicheskoi fiziki, 73:11 (2003), 111–117
  4. A. B. Plachenov, A. M. Radin, V. N. Kudashov, “Poluchenie yavnykh formul dlya fundamentalnoi mody rezonatora v vide gaussovskogo puchka so slozhnym astigmatizmom”, Radiotekhnika i elektronika, 52:12 (2007), 1422–1429
  5. A. B. Plachenov, V. N. Kudashov, A. M. Radin, “Analiticheskoe opisanie gaussova puchka v koltsevom rezonatore s nekomplanarnym osevym konturom i chetnym chislom zerkal”, Kvantovaya elektronika, 39:3 (2009), 261–272

http://www.mathnet.ru/eng/person46717
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Publications in Math-Net.Ru
2011
1. A. B. Plachenov, A. M. Radin, “Analytical description of a Gaussian beam in a ring resonator with a nonplanar axial contour and an odd number of mirrors”, Kvantovaya Elektronika, 41:1 (2011),  43–54  mathnet  elib [Quantum Electron., 41:1 (2011), 43–54  isi  scopus]
2. A. B. Plachenov, “Tilted nonparaxial beams and packets for the wave equation with two spatial variables”, Zap. Nauchn. Sem. POMI, 393 (2011),  224–233  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:4 (2012), 638–643  scopus
3. A. P. Kiselev, A. B. Plachenov, “Exact solutions of the $m$-dimensional wave equation from paraxial ones. Further generalization of the Bateman solution”, Zap. Nauchn. Sem. POMI, 393 (2011),  167–177  mathnet  mathscinet; J. Math. Sci. (N. Y.), 185:4 (2012), 605–610  scopus
2009
4. A. B. Plachenov, V. N. Kudashov, A. M. Radin, “Analytical description of a Gaussian beam in a ring resonator with a nonplanar axial contour and an even number of mirrors”, Kvantovaya Elektronika, 39:3 (2009),  261–272  mathnet  elib [Quantum Electron., 39:3 (2009), 261–272  isi  scopus]
2007
5. A. B. Plachenov, V. N. Kudashov, A. M. Radin, “Analytic method for the construction of the fundamental mode of a resonator in the form of a Gaussian beam with complex astigmatism”, Kvantovaya Elektronika, 37:3 (2007),  290–298  mathnet  elib [Quantum Electron., 37:3 (2007), 290–298  isi  scopus]
1999
6. V. N. Kudashov, A. B. Plachenov, A. M. Radin, “Complex <i>ABCD</i> transformations for optical ring cavities with losses and gain”, Kvantovaya Elektronika, 27:1 (1999),  87–92  mathnet [Quantum Electron., 29:4 (1999), 368–373  isi]
1980
7. A. B. Plachenov, “Nonstationary modes of a thin and curved waveguide in a multiray zone (the uniform asymptotics)”, Zap. Nauchn. Sem. LOMI, 99 (1980),  127–137  mathnet  mathscinet  zmath; J. Soviet Math., 20:5 (1982), 2478–2486
1979
8. I. A. Molotkov, A. B. Plachenov, “Ungtationary modes in a thin and curved waveguide of variable width”, Zap. Nauchn. Sem. LOMI, 89 (1979),  210–218  mathnet  zmath; J. Soviet Math., 19:4 (1982), 1447–1453

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