Лазерное ускорение тонких мишеней

Автор: Панченко А.В., Каменец Ф.Ф., Буланов С.В.

Журнал: Труды Московского физико-технического института @trudy-mipt

Рубрика: Оптимизация min-sum алгоритма декодирования LDPC-кодов

Статья в выпуске: 4 (32) т.8, 2016 года.

Бесплатный доступ

Рассматривается модель релятивистского зеркала в лазерной плазме с уче- том его прозрачности. Делаются выводы об эффективности лазерного ускорения в радиационно-доминантном режиме.

Лазерное ускорение, релятивистские электронные зеркала, ре- лятивистская оптика и инженерия

Короткий адрес: https://sciup.org/142186153

IDR: 142186153

Список литературы Лазерное ускорение тонких мишеней

Mourou G.A., Tajima T., Bulanov S.V. Optics in the relativistic regime//Reviews of Modern Physics. 2006. V. 78, N 2. P. 309-371
Esarey E., Schroeder C.B., Leemans W. Physics of laser-driven plasma-based electron accelerators//Reviews of Modern Physics. 2009. V. 81, N 3. P. 1229-1285
Daido H., Nishiuchi M., Pirozhkov A.S. Review of laser-driven ion sources and their applications//Reports on Progress in Physics. 2012. V. 75, N 5. P. 056401
Borghesi M., Fuchs J., Bulanov S.V., Mackinnon A.J., Patel P.K., Roth M. Fast ion generation by high-intensity laser irradiation of solid targets and applications//Fusion Science and Technology. 2006. V. 49, N 3. P. 412-439
Ечкина Е.Ю., Иновенков И.Н., Есиркепов T.Ж., Пегораро Ф., Боргези M., Буланов С.В. O зависимости энергии ионов от параметров лазерного импульса и мишени в радиационно-доминантном режиме ускорения//Физика плазмы. 2010. Т. 36, вып. 1. С. 17-32
Bulanov S.V., Califano F., Dudnikova G.I., Esirkepov T.Zh., Inovenkov I.N., Kamenets F.F., Liseikina T.V., Lontano M., Mima K., Naumova N.M., Nishihara K., Pegoraro F., Ruhl H., Sakharov A.S., Sentoku Y., Vshivkov V.A., Zhakhovskii V.V. Relativistic interaction of laser pulses with plasmas//Reviews of Plasma Physics, edited by Shafranov V.D. NewYork: Kluwer Academic/Plenum, 2001. V. 22. P. 227-335
Векслер В.И. Когерентный принцип ускорения заряженных частиц//Атомная энергия. 1957. Т. 2, вып. 5. С. 427-430
Passoni M., Tikhonchuk V.T., Lontano M., Bychenkov V.Yu. Charge separation eﬀects in solid targets and ion acceleration with a two-temperature electron distribution//Physical Review E. 2004. V. 69, N 2. P. 026411
Nishiuchi M., Fukumi A., Daido H., Li Z., Sagisaka A., Ogura K., Orimo S., Kado M., Hayashi Y., Mori M., Bulanov S.V., Esirkepov T.Zh., Nemoto K., Oishi Y., Nayuki T., Fujii T., Noda A., Iwashita Y., Shirai T., Nakamura S. The laser proton acceleration in the strong charge separation regime//Physics Letters A. 2006. V. 357, N 4-5. P. 339-344
Passoni M., Lontano M. Theory of Light-Ion Acceleration Driven by a Strong Charge Separation//Physical Review Letters. 2008. V. 101, N 11. P. 115001
Andreev A., Levy A., Ceccotti T., Thaury C., Platonov K., Loch R.A., Martin Ph. Fast-Ion Energy-Flux Enhancement from Ultrathin Foils Irradiated by Intense and High-Contrast Short Laser Pulses//Physical Review Letters. 2008. V. 101, N 15. P. 155002
Кузнецов А.В., Есиркепов Т.Ж., Каменец Ф.Ф. Буланов С.В. Об эффективности ускорения ионов релятивистски сильным лазерным импульсом в докритической плазме//Физика плазмы. 2001. Т. 27, вып. 3. С. 225-234
Matsukado K., Esirkepov T., Kinoshita K., Daido H., Utsumi T., Li Z., Fukumi A., Hayashi Y., Orimo S., Nishiuchi M., Bulanov S.V., Tajima T., Noda A., Iwashita Y., Shirai T., Takeuchi T., Nakamura S., Yamazaki A., Ikegami M., Mihara T., Morita A., Uesaka M., Yoshii K., Watanabe T., Hosokai T., Zhidkov A., Ogata A., Wada Y., Kubota T. Energetic Protons from a Few-Micron Metallic Foil Evaporated by an Intense Laser Pulse//Physical Review Letters. 2003. V. 91, N 21. P. 215001
Буланов С.В., Есиркепов Т.Ж., Каменец Ф.Ф., Соколов Д.В., Дылов Д.В. Ускорение ионов в дипольном вихре в короне лазерной плазмы//Физика плазмы. 2005. Т. 31, вып. 5. С. 409-421
Yogo A., Daido H., Bulanov S.V., Nemoto K., Oishi Y., Nayuki T., Fujii T., Ogura K., Orimo S., Sagisaka A., Ma J.-L., Esirkepov T.Zh., Mori M., Nishiuchi M., Pirozhkov A.S., Nakamura S., Noda A., Nagatomo H., Kimura T., Tajima T. Laser ion acceleration via control of the near-critical density target//Physical Rewiev E. 2008. V. 77, N 1. P. 016401
Bulanov S.V., Esirkepov T.Zh. Comment on «Collimated Multi-MeV Ion Beams from High-Intensity Laser Interactions with Underdense Plasma»//Physical Review Letters. 2007. V. 98, N 4. P. 049503
Last I., Schek I., Jortner J. Energetics and dynamics of Coulomb explosion of highly charged clusters//The Journal of Chemical Physics. 1997. V. 107, N 17. P. 6685-6692
Nishihara K., Amitani H., Murakami M., Bulanov S.V., Esirkepov T.Zh. High energy ions generated by laser driven Coulomb explosion of cluster//Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 2001. V. 464, N 1-3. P. 98-102
Kovalev V.F., Bychenkov V.Yu. Analytic Solutions to the Vlasov Equations for Expanding Plasmas//Physical Review Letters. 2003. V. 90, N 18. P. 185004
Echkina E.Y., Inovenkov I.N., Esirkepov T.Zh., Fukuda Y., Koga J., Bulanov S.V. Propagation of the high power laser pulse in multicomponent cluster targets//Laser Physics. 2009. V. 19, N 2. P. 228-230
Nakamura T., Fukuda Y., Yogo A., Tampo M., Kando M., Hayashi Y., Kameshima T., Pirozhkov A.S., Esirkepov T.Zh., Pikuz T.A., Faenov A.Ya., Daido H., Bulanov S.V. Coulomb implosion mechanism of negative ion acceleration in laser plasmas//Physics Letters A. 2009. V. 373, N 30. P. 2584-2587
Ditmire T., Donnelly T., Rubenchik A.M., Falcone R.W., Perry M.D. Interaction of intense laser pulses with atomic clusters//Physical Review A. 1996. V. 53, N 5. P. 3379-3402
Ditmire T., Tisch J.W.G., Springate E., Mason M.B., Hay N., Smith R.A., Marangos J., Hutchinson M.H.R. High-energy ions produced in explosions of superheated atomic clusters//Nature. 1997. V. 386, N 6620. P. 54-56
Last I., Jortner J. Nuclear Fusion induced by Coulomb Explosion of Heteronuclear Clusters//Physical Review Letters. 2001. V. 87, N 3. P. 033401
Hohenberger M., Symes D.R., Madison K.W., Sumeruk A., Dyer G., Edens A., Grigsby W., Hays G., Teichmann M., Ditmire T. Dynamic Acceleration Eﬀects in Explosions of Laser-Irradiated Heteronuclear Clusters//Physical Review Letters. 2005. V. 95, N 19. P. 195003
Sakabe S., Shimizu S., Hashida M., Sato F., Tsuyukushi T., Nishihara K., Okihara S., Kagawa T., Izawa Y., Imasaki K., Iida T. Generation of high-energy protons from the Coulomb explosion of hydrogen clusters by intense femtosecond laser pulses//Physical Review A. 2004. V. 69, N 2. P. 023203
Гуревич А.В., Парийская Л.В., Питаевский Л.П. Автомодельное движение разреженной плазмы//Журнал Экспериментальной и Теоретической Физики. 1966. Т. 49, вып. 2. С. 647-654
Mora P. Plasma Expansion into a Vacuum//Physical Review Letters. 2003. V. 90, N 18. P. 185002
Буланов С.В., Есиркепов Т.Ж., Кога Дж., Таджима Т. Взаимодействие электромагнитных волн с плазмой в радиационно-доминантном режиме//Физика плазмы. 2004. Т. 30, вып. 3. С. 221-240
Гуревич А.В., Парийская Л.В., Питаевский Л.П. Ускорение ионов при расширении разреженной плазмы//Журнал Экспериментальной и Теоретической Физики. 1973. Т. 63, вып. 2. С. 516-531
Hairapetian G., Stenzel R.L. Expansion of a Two-Electron-Population Plasma into Vacuum//Physical Review Letters. 1988. V. 61, N 14. P. 1607-1610
Bulanov S.V., Esirkepov, Migliozzi P., Pegoraro F., Tajima T., Terranova F. Neutrino oscillation studies with laser-driven beam dump facilities//Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment. 2005. V. 540, N 1. -P. 25-41
Esirkepov T.Zh., Borghesi M., Bulanov S.V., Mourou G., Tajima T. Highly Eﬃcient Relativistic-Ion Generation in the Laser-Piston Regime//Physical Review Letters. 2004. V. 92, N 17. P. 175003
Буланов С.В, Есиркепов Т.Ж., Кога Дж., Таджима Т., Фарина Д. К вопросу о верх-нем пределе энергии быстрых ионов, ускоренных на фронте расширяющегося в вакуум облака релятивистских электронов//Физика плазмы. 2004. Т. 30, вып. 1. С. 21-32
Pegoraro F., Bulanov S.V. Photon Bubbles and Ion Acceleration in a Plasma Dominated by the Radiation Pressure of an Electromagnetic Pulse//Physical Review Letters. 2007. V. 99, N 6. P. 065002
Bulanov S.V., Esirkepov T.Zh., Pegoraro F., Borghesi M. On the ion acceleration by high power electromagnetic waves in the radiation pressure dominated regime//Comptes Rendus Physique. 2009. V. 10, N 2. P. 216-226
Klimo O. Psikal J., Limpouch J., Tikhonchuk V.T. Monoenergetic ion beams from ultrathin foils irradiated by ultrahigh-contrast circularly polarized laser pulses//Physical Review Special Topics Accelerators and Beams. 2008. V. 11, N 3. P. 031301
Bulanov S.S., Brantov A., Bychenkov V.Yu., Chvykov V., Kalinchenko G., Matsuoka T., Rousseau P., Reed S., Yanovsky V., Litzenberg D.W., Krushelnick K., Maksimchuk A. Accelerating monoenergetic protons from ultrathin foils by ﬂat-top laser pulses in the directed-Coulomb-explosion regime//Physical Review E. 2008. V. 78, N 2. P. 026412
Esirkepov T., Yamagiwa M., Tajima T. Laser Ion-Acceleration Scaling Laws Seen in Multiparametric Particle-in-Cell Simulations//Physical Review Letters. 2006. V. 96, N 10. P. 105001
Liseykina T.V., Borghesi M., Macchi A., Tuveri S. Radiation pressure acceleration by ultraintense laser pulses//Plasma Physics and Controlled Fusion. 2008. V. 50, N 12. P. 124033
Chen M., Pukhov A., Sheng Z.M., Yan X.Q. Laser mode eﬀects on the ion acceleration during circularly polarized laser pulse interaction with foil targets//Physics of Plasmas. 2008. V. 15, N 11. P. 113103
Yan X.Q., Lin C., Sheng Z.M., Guo Z.Y., Liu B.C., Lu Y.R., Fang J.X., Chen J.E. Generating High-Current Monoenergetic Proton Beams by a CircularlyPolarized Laser Pulse in the Phase-StableAcceleration Regime//Physical Review Letters. 2008. V. 100, N 13. P. 135003
Rykovanov S.G., Schreiber J., Meyer-ter-Vehn J., Bellei C., Henig A., Wu H.C., Geissler M. Ion acceleration with ultra-thin foils using elliptically polarized laser pulses//New Journal of Physics. 2008. V. 10, N 11. P. 113005
Davis J., Petrov G.M. Generation of GeV ion bunches from high-intensity laser-target interactions//Physics of Plasmas. 2009. V. 16, N 2. P. 023105
Qiao B., Zepf M., Borghesi M., Geissler M. Stable GeV Ion-Beam Acceleration from Thin Foils by Circularly Polarized Laser Pulses//Physical Review Letters. 2009. V. 102, N 14. P. 145002
Naumova N., Schlegel T., Tikhonchuk V.T., Labaune C., Sokolov I.V., Mourou G. Hole Boring in a DT Pellet and Fast-Ion Ignition with Ultraintense Laser Pulses//Physical Review Letters. 2009. V. 102, N 2. P. 025002
Зельдович Я.Б., Илларионов А.Ф. Рассеяние сильной волны электроном в магнитном поле//Журнал Экспериментальной и Теоретической Физики. 1972. Т. 61, вып. 3. С. 880-885
Зельдович Я.Б. Взаимодействие свободных электронов с электромагнитным излучением//Успехи физических наук. 1975. Т. 115, вып. 2. С. 161-197
Zhidkov A., Koga J., Sasaki A., Uesaka M. Radiation Damping Eﬀects on the Interaction of Ultraintense Laser Pulses with an Overdense Plasma//Physical Review Letters. 2002. V. 88, N 18. P. 185002
Koga J., Esirkepov T.Zh., Bulanov S.V. Nonlinear Thomson scattering in the strong radiation damping regime//Physics of Plasmas. 2005. V. 12, N 9. P. 093106
Keitel C.H., Szymanowski C., Knight P.L., Maquet A. Radiative reaction in ultra-intense laser-atom interaction//Journal of Physics B: Atomic, Molecular and Optical Physics. 1998. V. 31, N 3. P. L75-L83
Koga J., Esirkepov T.Z., Bulanov S.V. Nonlinear Thomson scattering with strong radiation damping//Journal of Plasma Physics. 2006. -V. 72, N 6. P. 1315-1318
Berezhiani V.I., Mahajan S.M., Yoshida Z. Plasma acceleration and cooling by strong laser ﬁeld due to the action of radiation reaction force//Physical Review E. 2008. V. 78, N 6. P. 066403
Di Piazza, A. Exact Solution of the Landau-Lifshitz Equation in a Plane Wave//Letters in Mathematical Physics. 2008. V. 83, N 3. P. 305-313
Kar S., Borgeshi M., Bulanov S.V., Macchi A., Key M.H., Liseykina T.V., Mackinnon A.J., Patel P.K., Romagnani L., Schiavi A., Willi O. Plasma Jets Driven by Ultraintense-Laser Interaction with Thin Foils//Physical Review Letters. 2008. V. 100, N 22. P. 225004
Bulanov S.V., Esirkepov T.Zh., Habs D., Pegoraro F., Tajima T. Relativistic laser-matter interaction and relativistic laboratory astrophysics//The European Physical Journal D. 2009. V. 55, N 2. P. 483-507
Ландау Л.Д., Лифшиц Е.М. Электродинамика сплошных сред. M.: Наука, 1982. 621 с
Kulagin V.V., Cherepenin V.A., Hur M.S., Suk H. Flying mirror model for interaction of a super-intense nonadiabatic laser pulse with a thin plasma layer: Dynamics of electrons in a linearly polarized external ﬁeld.//Physics of Plasmas. 2007. V. 14, N 11. P. 113101
Бэдсел Ч., Ленгдон А. Физика плазмы и численное моделирование. М.: Энергоатомиздат, 1989. 452 с
Ильин А.С., Кулагин В.В., Черепенин В.А. Ускорение плотных электронных сгустков фронтом мошной электромагнитной волны//Физика плазмы. 2001. Т. 27, вып. 12. С. 1111-1120
Ильин А.С., Кулагин В.В., Черепенин В.А. Радиационные эффекты в модели электронных листов//Радиотехника и электроника. 1999. Т. 44, вып. 4. С. 389-400
Vshivkov V.A., Naumova N.M., Pegoraro F., Bulanov S.V. Nonlinear electrodynamics of the interaction of ultra-intense laser pulses with a thin foil//Physics of Plasmas. 1998. V. 5, N 7. P. 2727-2741
Kulagin V.V., Cherepenin V.A., Suk H. Compression and acceleration of dense electron bunches by ultraintense laser pulses with sharp rising edge//Physics of Plasmas. 2004. V. 11, N 11. P. 5239-5249
Kulagin V.V., Suk H. Formation of Relativistic Electron Mirrors in Laser-Plasma Interactions//Journal of the Korean Physical Society. 2004. V. 44, N 5. P. 1282-1293
Bulanov S.V., Esirkepov T.Zh., Naumova N.M., Pegoraro F., Pogorelsky I.V., Pukhov A.M. Controlled wake ﬁeld acceleration via laser pulse shaping//IEEE Transactions on Plasma Science. 1996. V. 24, N 2. P. 393-399
Bulanov S.V., Macchi A., Pegoraro F. On the theory of ionization of a thin foil by a laser pulse//Physics letters A. 1998. V. 245, N 5. P. 439-444
Паули В. Теория относительности: Пер. с нем. и англ. 3-е изд., испр./Под ред. Гинзбурга В.Л. и Фролова В.П. -М.: Наука. Гл. ред. физ.-мат. лит., 1991. 328 с
Esirkepov T.Zh. Exact charge conservation scheme for Particle-in-Cell simulation with an arbitrary form-factor//Computer Physics Communications. 2001. V. 135, N 2. P. 144-153
Pegoraro F., Esirkepov T.Zh., Bulanov S.V. Special relativity in action in laser produced plasmas//Physics Letters A. 2005. V. 347, N 1-3. P. 133-142
Dodonov V.V. Nonstationary Casimir Eﬀect and Analytical Solutions for Quantum Fields in Cavities with Moving Boundaries//Advances in Chemical Physics, Modern Nonlinear Optics, Part I. 2001. V. 119. P. 309-394
Bordag M., Mohideen U., Mostepanenko V.M. New developments in the Casimir eﬀect//Physics Reports. 2001. V. 353, № 1-3. P. 1-205
Fedotov A.M., Lozovik Yu.E., Narozhny N.B., Petrosyan A.N. Dynamical Casimir eﬀect in a one-dimensional uniformly contracting cavity//Physical Review A. 2006. V. 74, N 1. P. 013806
Crispino L.C.B., Higuchi A., Matsas G.E.A. The Unruh eﬀect and its applications//Reviews of Modern Physics. 2008. V. 80. P. 787
Marklund M., Shukla P.K. Nonlinear collective eﬀects in photon-photon and photon-plasma interactions//Reviews of Modern Physics. 2006. V. 78, N 2. P. 591-640
Salamin Y.I., Hu S.X., Hatsagortsyan K.Z., Keitel C.H. Relativistic high-power laser-matter interactions//Physics Reports. 2006. V. 427, N 2-3. P. 41-155
Bulanov S.V., Naumova N.M., Pegoraro F. Interaction of an ultrashort, relativistically strong laser pulse with an overdense plasma//Physics of Plasmas. 1994. V. 1, N 3. P. 745-757
Pirozhkov A.S., Bulanov S.V., Esirkepov T.Zh. Mori M., Sagisaka A., Daido H. Attosecond pulse generation in the relativistic regime of the laser-foil interaction: The sliding mirror model//Physics of Plasmas. -2006. V. 13, N 1. P. 013107
Lichters R., Meyer -ter-Vehn J., Pukhov A. Short-pulse laser harmonics from oscillating plasma surfaces driven at relativistic intensity//Physics of Plasmas. 1996. V. 3, N 9. P. 3425-3437
Pirozhkov A.S., Bulanov S.V., Esirkepov T.Zh., Moria M., Sagisaka A., Daido H. Generation of high-energy attosecond pulses by the relativistic-irradiance short laser pulse interacting with a thin foil//Physics Letters A. 2006. V. 349, N 1-4. P. 256-263
Thaury C., Quere F., Geindre J.-P., Levy A., Ceccotti T., Monot P., Bougeard M., Reau F., d’Oliveira P., Audebert P., Marjoribanks R., Martin Ph. Plasma mirrors for ultrahigh-intensity optics//Nature Physics. 2007. V. 3, N 6. P. 424-429
Dromey B., Kar S., Bellei C., Carroll D.C., Clarke R.J., Green J.S., Kneip S., Markey K., Nagel S.R., Simpson P.T., Willingale L., McKenna P., Neely D., Najmudin Z., Krushelnick K., Norreys P.A., Zepf M. Bright Multi-keV Harmonic Generation from Relativistically Oscillating Plasma Surfaces//Physical Review Letters. 2007. V. 99, N 8. P. 085001
Boyd T.J.M., Ondarza-Rovira R. Plasma Modulation of Harmonic Emission Spectra from Laser-Plasma Interactions//Physical Review Letters. 2007. V. 98, N 10. P. 105001
Tarasevitch A., Lobov K., Wunsche C., von der Linde D. Transition to the Relativistic Regime in High Order Harmonic Generation//Physical Review Letters. 2007. V. 98, N 10. P. 103902
Rykovanov S.G., Geissler M., Meyer-ter-Vehn J., Tsakiris G.D. Intense single attosecond pulses from surface harmonics using the polarization gating technique//New Journal of Physics. 2008. V. 10. P. 025025
Bulanov S.V., Esirkepov T.Zh., Tajima T. Light Intensiﬁcation towards the Schwinger Limit//Physical Review Letters. 2003. V. 91, N 8. P. 085001
Kando M., Fukuda Y., Pirozhkov A.S., Ma J., Daito I., Chen L.-M., Esirkepov T.Zh., Ogura K., Homma T., Hayashi Y., Kotaki H., Sagisaka A., Mori M., Koga J.K., Daido H., Bulanov S.V., Kimura T., Kato Y., Tajima T. Demonstration of Laser-Frequency Upshift by Electron-Density Modulations in a Plasma Wakeﬁeld//Physical Review Letters. 2007. V. 99, N 13. P. 135001
Pirozhkov A.S., Ma J., Kando M., Esirkepov T.Zh., Fukuda Y., Chen L.-M., Daito I., Ogura K., Homma T., Hayashi Y., Kotaki H., Sagisaka A., Mori M., Koga J.K., Kawachi T., Daido H., Bulanov S.V., Kimura T., Kato Y., Tajima T. Frequency multiplication of light back-reﬂected from a relativistic wake wave//Physics of Plasmas. 2007. V. 14, N 12. P. 123106
Naumova N.M., Nees J.A., Sokolov I.V., Hou B., Mourou G.A. Relativistic Generation of Isolated Attosecond Pulses in a λ3 Focal Volume//Physical Review Letters. 2004. V. 92, N 6. P. 063902
Bulanov S.S., Esirkepov T.Zh., Kamenets F.F., Pegoraro F. Single-cycle high-intensity electromagnetic pulse generation in the interaction of a plasma wakeﬁeld with regular nonlinear structures//Physical Review E. 2006. V. 73, N 3. P. 036408
Naumova N.M. Nees J.A., Mourou G.A. Relativistic attosecond physics//Physics of Plasmas. 2005. V. 12, N 5. P. 056707
Розанов Н.Н. Преобразование электромагнитного излучения на движущихся неоднородностях среды//Письма в ЖЭТФ. 2008. Т. 88, вып. 8. С. 577-580
Habs D., Hegelich M., Schreiber J., Gross M., Henig A., Kiefer D., Jung D. Dense laser-driven electron sheets as relativistic mirrors for coherent production of brilliant X-ray and γ-ray beams//Applied Physics B. 2008. V. 93, N 2. P. 349-354
Ott E. Nonlinear Evolution of the Rayleigh-Taylor Instability of a Thin Layer//Physical Review Letters. 1972. V. 29, N 21. P. 1429-1432
Manheimer W., Colombant D., Ott E. Three-dimensional, nonlinear evolution of the Rayleigh-Taylor instability of a thin layer//Physics of Fluids. 1984. V. 27, N 8. P. 2164-2175
Taguchi T., Mima K. Pseudo-three-dimensional simulation on stability of thin shell target implosion//Physics of Plasmas. 1995. V. 2, N 7. P. 2790-2795
Pegoraro F., Bulanov S.V., Sakai J., Tomassini G. Three-dimensional singularities of a thin plasma slab//Physical Review E. 2001. V. 64, N 1. P. 016415
Бюшгенс С.С. Дифференциальная геометрия. 3-е. изд. М.: ЛКИ, 2008. 302 с
Ландау Л.Д., Лифшиц Е.М. Теория поля. 7-е изд., испр. M.: Наука, 1988. 512 с
Арнольд В.И. Теория катастроф. 3-е изд., доп. М.: Наука, 1990. 128 с
Bulanov S.V., Echkina E.Yu., Esirkepov T.Zh., Inovenkov I.N., Kando M., Pegoraro F., Korn G. Unlimited energy gain in the laser-driven radiation pressure dominant acceleration of ions//Physics of Plasmas. 2010. V. 17, N 6. P. 063102

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