Skip to main content
Log in

Nonresonance parametric phenomena in distributed systems

A review

  • Published:
Radiophysics and Quantum Electronics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. P. K. Tien and H. Suhl, “A traveling wave ferrogmagnetic amplifier,” Proc. IRE,46, No. 4, 700 (1958).

    Google Scholar 

  2. N. S. Stepanov, “On resonance reflection of waves in a system having periodically varying parameters,” Izv. VUZ. Radiofiz.,4, No. 4, 656 (1961).

    Google Scholar 

  3. E. S. Cassidy, “The parametric coupling of modes of propagation in nonlinear media,” in: Electromagnetic Wave Theory (Proceedings of URSI Symposium, 1965), Part 2, Pergamon Press (1967), p. 543.

  4. V. N. Oraevskii and R. Z. Sagdeev, “On the stability of steady-state longitudinal plasma oscillations,” Zh. Tekh. Fiz.,32, 1291 (1962).

    Google Scholar 

  5. L. A. Ostrovskii and N. S. Stepanov, “Parametric generation of electromagnetic waves in a magnetically active plasma,” Zh. Éksperim. i Teor. Fiz.,45, No. 11, 1473 (1963).

    Google Scholar 

  6. V. P. Silin, “Parametric resonance in a plasma,” Zh. Éksperim. i Teor. Fiz.,48, No. 6, 1679 (1965).

    Google Scholar 

  7. S. A. Akhmanov and R. V. Khokhlov, “Parametric light amplifiers and oscillators,” Usp. Fiz. Nauk,88, No. 3, 439 (1956).

    Google Scholar 

  8. M. M. Sushchik, V. M. Fortus, and G. I. Freidman, “Parametric light oscillators, A review,” Izv. VUZ. Radiofiz.,13, No. 5, 631 (1970).

    Google Scholar 

  9. N. Bloembergen, “Stimulated Raman scattering,” Usp. Fiz. Nauk,97, No. 2, 397 (1969).

    Google Scholar 

  10. V. N. Tsytovich, Nonlinear Effects in a Plasma [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  11. L. A. Ostrovskii and N. S. Stepanov, Nonresonance Parametric Phenomena in Distributed Systems (Selected Papers from the URSI Symp. on Electromagnetic Waves, Stresa, Italy, 1968); Alta Frequenza,38, No. speciale 204 (1969).

  12. A. Einstein, “On the electrodynamics of moving bodies,” in Collected Scientific Works [Russian translation], Vol. 1, Nauka, Moscow (1965), p. 7.

    Google Scholar 

  13. W. Pauli, Relativity Theory [Russian translation], Gostekhizdat, Moscow (1947).

    Google Scholar 

  14. A. M. Glutsyuk, Index to the Literature on the Electrodynamics of Moving Media [in Russian], Izd. IRÉ AN UkrSSR (1967).

  15. K. Landecker, “Possibility of frequency multiplication and wave amplification by means of some relativistic effects,” Phys. Rev.,86, No. 6, 852 (1952).

    Google Scholar 

  16. M. A. Lampert, “Reflection of electromagnetic waves by Cerenkov electron gas,” Phys. Rev.,102, 299 (1956).

    Google Scholar 

  17. Ya. B. Fainberg, “Acceleration of particles in a plasma,” At. Énerg.,6, No. 4, 431 (1959).

    Google Scholar 

  18. Ya. B. Fainberg and V. S. Tkalich, “On the reflection of an electromagnetic wave from a plasma moving through an electric medium in the presence of a constant magnetic field,” Zh. Tekh. Fiz.,29, No. 4, 491 (1959).

    Google Scholar 

  19. L. A. Ostrovskii, “On the interaction of weak signals with electromagnetic shock waves,” Izv. VUZ. Radiofiz.,2, No. 5, 833 (1959).

    Google Scholar 

  20. A. V. Gaponov, L. A. Ostrovskii, and G. I. Freidman, “Electromagnetic shock waves. A review,” Izv. VUZ. Radiofiz.,10, Nos. 9–10, 1376 (1967).

    Google Scholar 

  21. F. R. Morgenthaler, “Velocity modulation of electromagnetic waves,” IRE Trans.,MTT-6, 167 (1958).

    Google Scholar 

  22. L. B. Felsen and C. M. Whitman, “Wave propagation in time-varying media,” IEEE Trans.,AP-18, No. 2, 242 (1970).

    Google Scholar 

  23. L. D. Landau and E. M. Lifshits, Electrodynamics of Continuous Media [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  24. L. A. Ostrovskii, Interaction of Electromagnetic Waves with a Moving Boundary in Dispersive Media (Report to a Symposium on the Diffraction of Waves) [in Russian], Leningrad (1970).

  25. Yu. M. Sorokin and N. S. Stepanov, “On the reflection and refraction of electromagnetic waves in a moving inhomogeneous plasma,” Izv. VUZ. Radiofiz.,14, No. 1, 19 (1971).

    Google Scholar 

  26. L. A. Ostrovskii and B. A. Solomin, “Correctness of problems involving the interaction of waves with a moving parameter discontinuity,” Izv. VUZ. Radiofiz.,10, No. 8, 1183 (1967).

    Google Scholar 

  27. B. A. Solomin, “On the nonlinear conversion of radio signals in a controlled transmission line containing ferrites,” Izv. VUZ. Radiotekh.,9, No. 5, 673 (1966).

    Google Scholar 

  28. B. M. Bolotovskii and S. N. Stolyarov, “The Fresnel formulas on the moving interface between two media,” Izv. VUZ. Radiofiz.,4, No. 6, 117 (1961).

    Google Scholar 

  29. S. N. Stolyarov, “Interaction of electromagnetic waves with the moving interface between two media,” Izv. VUZ. Radiofiz.,4, No. 4, 671 (1962).

    Google Scholar 

  30. O. S. Mergelyan, “Reflection and refraction of electromagnetic waves in the case of a moving medium,” Dokl. Akad. Nauk ArmSSR34, No. 2, 65 (1962).

    Google Scholar 

  31. S. N. Stolyarov, “Reflection and refraction of electromagnetic waves by moving boundaries between two media,” Zh. Tekh. Fiz.33, No. 5, 565 (1963).

    Google Scholar 

  32. C. Yeh, “Reflections and transmission of electromagnetic waves by moving dielectric,” J. Appl. Phys.,36, No. 11, 3513 (1965).

    Google Scholar 

  33. V. P. Puati, “Reflection and refraction of electromagnetic waves by a moving dielectric medium,” J. Appl. Phys.,33, No. 2, 652 (1967).

    Google Scholar 

  34. S. W. Lee and Y. T. Lo, “Reflection and transmission of electromagnetic waves by a moving uniaxially anisotropic medium,” J. Appl. Phys.,38, No. 2, 870 (1967).

    Google Scholar 

  35. C. Yeh, “Brewster angle for a dielectric medium moving at relativistic speed,” J. Appl. Phys.,38, No. 13, 5194 (1967).

    Google Scholar 

  36. H. Berger, “Reflection and transmission of electromagnetic power at moving interfaces,” J. Appl. Phys.,39, No. 7, 3512 (1968).

    Google Scholar 

  37. C. S. Tsai and B. A. Auld, “Wave interaction with moving boundaries,” J. Appl. Phys.,38, No. 5, 2106 (1967).

    Google Scholar 

  38. T. Shiozawa and K. Hazama, “General solution to the problem, of refraction and transmission by a moving dielectric medium,” Radio Sci.,3, No. 6, 569 (1968).

    Google Scholar 

  39. D. I. Blokhintsev, “A moving sound receiver,” Dokl. Akad. Nauk SSSR,47, No. 1, 22 (1945).

    Google Scholar 

  40. V. I. Kontorovich, “Reflection and refraction of sound by shock waves,” Akust. Zh.,5, No. 3, 314 (1959).

    Google Scholar 

  41. V. A. Solomin, “Parametric conversion of the spectrum of video pulses by a switching line,” Izv. VUZ. Radiofiz.,2, No. 6, 1227 (1966).

    Google Scholar 

  42. L. A. Ostrovskii and B. A. Solomin, “Conversion of signals in switching parametric lines,” Izv. VUZ. Radiofiz.,10, No. 12, 1732 (1967).

    Google Scholar 

  43. V. I. Kurilko, “On the kinetic theory of the reflection of electromagnetic waves from a moving plasma,” Zh. Tekh. Fiz.,31, No. 1, 71 (1961).

    Google Scholar 

  44. V. I. Kurilko and V. I. Miroshnichenko, “Reflection of electromagnetic waves by a plasma,” Ukr. Fiz. Zh.,6, No. 3, 415 (1961).

    Google Scholar 

  45. V. I. Kurilko, “Reflection of electromagnetic waves from a plasma moving in a slow-wave wave-guide,” Zh. Tekh. Fiz.,31, No. 8, 899 (1961).

    Google Scholar 

  46. V. I. Miroshnichenko, “Kinetic theory of reflection of electromagnetic waves from a moving plasma,” Ukr. Fiz. Zh.,11, No. 4, 451 (1966).

    Google Scholar 

  47. V. I. Miroshnichenko, “Kinetic theory of reflection of electromagnetic waves from a moving plasma,” Izv. VUZ. Radiofiz.,9, No. 4, 666 (1966).

    Google Scholar 

  48. C. Yeh, “Reflection and transmission of electromagnetic waves by a moving plasma medium,” J. Appl. Phys.,37, No. 8, 3079 (1966).

    Google Scholar 

  49. V. G. Gavrilenko, G. A. Lupanov, and N. S. Stepanov, “On the problem of the reflection of electromagnetic waves in an inhomogeneous moving plasma,” Zh. Tekh. Fiz.,41, No. 3, 534 (1971).

    Google Scholar 

  50. V. G. Gavrilenko, G. A. Lupanov, and N. S. Stepanov, “On the generation of electromagnetic waves by jet streams in a plasma,” Izv. VUZ. Radiofiz.,13, No. 5, 700 (1970).

    Google Scholar 

  51. O. G. Zagorodnov, Ya. B. Fainberg, and A. M. Egorov, “On the reflection of electromagnetic waves from a plasma moving in slow-wave waveguides,” Zh. Éksperim. i Teor. Fiz.,38, No. 1, 7 (1960).

    Google Scholar 

  52. B. R. Shawla and H. Unz, “Reflection and transmission of normally incident waves by a semi-infinite longitudinally drifting magnetoplasma,” Nuovo Cimento,B57, No. 2, 399 (1968).

    Google Scholar 

  53. V. I. Semenova, “On the reflection of electromagnetic waves from an ionization front,” Izv. VUZ. Radiofiz.,10, No. 8, 1077 (1967).

    Google Scholar 

  54. A. M. Glutsyuk, “Reflection and refraction of an electromagnetic wave moving in a nonlinear medium by a field layer,” Zh. Tekh. Fiz.,34, No. 8, 1345 (1964).

    Google Scholar 

  55. C. Yeh and K. F. Casey, “Reflection and transmission of electromagnetic waves by a moving dielectric slab,” Phys. Rev.,144, No. 2, 665 (1966).

    Google Scholar 

  56. S. N. Stolyarov, “Reflection and transmission of electromagnetic waves incident on a moving dielectric plate,” Izv. VUZ. Radiofiz.,10, No. 2, 284 (1967).

    Google Scholar 

  57. A. I. Kondratenko, “On the reflection of electromagnetic waves from a moving magnetically active plasma layer,” Ukr. Fiz. Zh.,13, No. 2, 236 (1968).

    Google Scholar 

  58. C. Yeh, “Reflection and transmission of electromagnetic waves by a dielectric slab,” Phys. Rev.,167, No. 3, 875 (1968).

    Google Scholar 

  59. S. N. Stolyarov, “Introduction of electromagnetic waves with a dielectric plate moving in a medium,” Izv. VUZ. Radiofiz.,11, No. 4, 542 (1968).

    Google Scholar 

  60. S. N. Stolyarov, “Interaction of electromagnetic waves with an electric layer consisting of a mixture of resting and moving media,” Zh. Tekh. Fiz.,39, No. 8, 1388 (1969).

    Google Scholar 

  61. J. A. Kong and D. K. Cheng, “Reflection and transmission of electromagnetic waves by a moving uniaxially anisotropic slab,” J. Appl. Phys.,40, No. 5, 2206 (1969).

    Google Scholar 

  62. N. S. Stepanov, “On the reflection of waves from an arbitrary moving inhomogeneity,” Izv. VUZ. Radiofiz.,5, No. 5, 908 (1962).

    Google Scholar 

  63. G. I. Freidman, “Refelection of electromagnetic waves in gyrotropic media from the wave of a magnetic field,” Zh. Éksperim. i Teor. Fiz.,41, No. 1, 226 (1961).

    Google Scholar 

  64. N. L. Balazs, “On the solution of the wave equation with moving boundaries,” J. Math. Analys. Appl.,3, No. 3, 472 (1961).

    Google Scholar 

  65. R. I. Baranov and Yu. M. Shirokov “An electromagnetic field in an optic cavity resonator with a moving mirror,” Zh. Eksperim. i Teor. Fiz.,53, No. 6, 2123 (1967).

    Google Scholar 

  66. V. I. Kurilko, “On the reflection of electromagnetic waves from moving surfaces,” Zh. Tekh. Fiz.,30, No. 5, 504 (1960).

    Google Scholar 

  67. O. G. Zagorodnov, Ya. B. Fainberg, A. M. Egorov, and L. I. Bolotovskii, “Frequency multiplication by means of ‘collapse’ of a plasma,” Zh. Tekh. Fiz.,31, No. 3, 297 (1961).

    Google Scholar 

  68. V. N. Krasil'nikov and A. M. Pankratov, “Electromagnetic fields in resonators having an oscillating boundary,” in: Problems of the Diffraction and Propagation of Waves [in Russian], No. 8, Izd. LGU (1968), p. 59.

  69. N. S. Stepanov, “On parametrically coupled oscillations in a system having a large number of degrees of freedom,” Radiotekhnika i Élektronika,15, No. 9, 1885 (1970).

    Google Scholar 

  70. O. A. Stepanov, “On the compression of an electromagnetic field, between two planes,” Izv. VUZ. Radiotekh.,6, No. 6, 695 (1963).

    Google Scholar 

  71. O. A. Stetsenko, “Approximate solution of the wave equation for resonator systems with a moving wall,” Izv. VUZ. Radiotekhn.,6, No. 6, 701 (1963).

    Google Scholar 

  72. O. A. Stetsenko, “Nonstationary process waveguide resonators with a moving wall,” Izv. VUZ. Radiotekh.,7, No. 1, 71 (1964).

    Google Scholar 

  73. A. I. Vesnitskii, “Solution of the inhomogeneous wave equation with conditions on a moving boundary,” Izv. VUZ. Radiofiz. (in press).

  74. A. I. Vesnitskii, “Propagation of waves in a waveguide with moving walls,” Izv. VUZ. Radiofiz.,12, No. 6, 935 (1969).

    Google Scholar 

  75. V. N. Krasil'nikov, “Electromagnetic oscillations in spherical cavity with a time-varying radius,” in: Problems of the Diffraction and Propagation of Waves [in Russian], No. 8, Izd. LGU (1968), p. 43.

  76. A. I. Vesnitskii and A. V. Kostrov, “Nonstationary processes in a uniformly expanding spherical resonator,” Izv. VUZ. Radiofiz. (in press).

  77. S. M. Rytov, “Modulated oscillations and waves,” Trudy FIAN SSSR,2, No. 1, 40 (1940).

    Google Scholar 

  78. S. M. Rytov, “Certain theorems on the group velocity of electromagnetic waves,” Zh. Éksperim. i Teor. Fiz.,17, No. 10, 1930 (1947).

    Google Scholar 

  79. S. I. Averkov and L. A. Ostrovskii, “Propagation of oscillations in systems having time-dependent parameters,” Izv. VUZ. Radiofiz.,1, No. 4, 46 (1958).

    Google Scholar 

  80. S. I. Averkov and N. S. Stepanov, “Propagation of waves in systems having a traveling parameter,” Izv. VUZ. Radiofiz.,2, No. 2, 203 (1959).

    Google Scholar 

  81. N. S. Stepanov, “Propagation of waves in systems having varying parameters,” Izv. VUZ. Radiofiz.,3, No. 4, 672 (1960).

    Google Scholar 

  82. S. I. Averkov and Yu. G. Khronopulo, “Electromagnetic waves in dispersive systems having time-dependent parameters,” Izv. VUZ. Radiofiz.,3, No. 5, 818 (1960).

    Google Scholar 

  83. L. A. Ostrovskii, “On the geometric-optics approximation for waves in a transmission line having varying parameters,” Izv. VUZ. Radiofiz.,4, No. 2, 293 (1961).

    Google Scholar 

  84. N. S. Stepanov, “On a certain parametric phenomenon in acoustics,” Akust. Zh.,8, No. 1, 139 (1962).

    Google Scholar 

  85. S. Veinberg, “Eikonal method in magnetohydrodynamics,” Phys Rev.,126, 1899 (1962).

    Google Scholar 

  86. N. S. Stepanov, “On the geometric-optics approximation for space charge waves,” Izv. VUZ. Radiofiz.,6, No. 1, 112 (1963).

    Google Scholar 

  87. L. A. Ostrovskii, “Modulation of signals in transmission lines having periodically varying parameters,” Izv. VUZ. Radiofiz.,6, No. 4, 752 (1963).

    Google Scholar 

  88. K. A. Barsukov, “On the theory of a waveguide having a nonstationary filler,” Radiotekhnika i Élektronika,9, No. 7, 1173 (1974).

    Google Scholar 

  89. K. A. Barsukov and V. M. Bolotovskii, “Radiation from oscillators in an inhomogeneous and nonstationary medium,” Izv. VUZ. Radiotekh.,8, No. 4, 760 (1965).

    Google Scholar 

  90. T. Styx, Theory of Plasma Waves [Russian translation], Atomizdat, Moscow (1965).

    Google Scholar 

  91. R. M. Lewis, “Asymptotic theory of propagating waves,” Arch. Ratl. Mech. Anal.,20, No. 3, 191 (1965).

    Google Scholar 

  92. V. N. Krasil'nikov, “Propagation of electromagnetic waves in parametric media in the geometric-optics approximation,” in: Problems of the Diffraction and Propagation of Waves [in Russian], No. 6, LGU (1966), p. 76.

  93. R. M. Lewis, Asymptotic Theory of Transients, Electromagnetic Waves Theory, Pergamon Press (1967).

  94. N. S. Stepanov, “On the adiabatic conversion of the spectrum of electromagnetic waves in a magnetically active plasma,” Zh. Éksperim. i Teor. Fiz.,53, No. 12, 2186 (1967).

    Google Scholar 

  95. N. S. Stepanov, “On the conversion of the spectrum of waves in a dispersive medium having slowly varying parameters,” Izv. VUZ. Radiofiz.,11, No. 5, 700 (1968).

    Google Scholar 

  96. Yu. A. Kraytsov, “The geometric-optics approximation in the general case of inhomogeneous and nonstationary media with frequency and phase dispersion,” Zh. Éksperim. i Teor. Fiz.,55, No. 10, 1470 (1968).

    Google Scholar 

  97. A. I. Vesnitskii, N. S. Stepanov, and V. N. Shabanov, “On a parametric frequency modulator based on a distributed diode,” Radiotekhnika i Élektronika,14, No. 2, 326 (1969).

    Google Scholar 

  98. N. S. Stepanov, “On the adiabatic conversion of the spectrum of waves in a nonstationary medium having dispersion,” Izv. VUZ. Radiofiz.,12, No. 2, 183 (1969).

    Google Scholar 

  99. Yu. A., Kravtsov and N. S. Stepanov, “Geometric optics and conservation of the adiabatic invariant,” Zh. Éksperim. i Teor. Fiz.,57, No. 11, 1730 (1969).

    Google Scholar 

  100. Yu. A. Kravtsov and N. S. Stepanov, Geometric Approximation for Electromagnetic Waves in Inhomogeneous and Nonstationary Dispersive Media. Report to Symposium on Wave Diffraction [in Russian], Leningrad (1970).

  101. L. D. Landau and E. M. Lifshits, The Mechanncs of Continuous Media [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  102. Ya. D. Shirman and V. N. Golikov, Foundations of the Theory of Detecting Radar Signals and Measuring Their Parameters [in Russian], Sov. Radio, Moscow (1963).

    Google Scholar 

  103. P. B. Whitham, “A general approach to linear and nonlinear dispersive waves using a Lagrangian,” J. Fluid Mech.,22, No. 2, 273 (1965).

    Google Scholar 

  104. K. A. Gorshkov, On the Oscillations of an Electromagnetic Field in Nonstationary Resonators [in Russian], Diploma Paper, Gor'kii University (1959).

  105. L. A. Ostrovskii and E. M. Pelinovskii, The Averaging Method and the Generalized Variational Principles for Nonsinusoidal Waves [in Russian], Preprint NIRFI (1970).

  106. L. A. Ostrovskii, “On the propagation of FM signals in dispersive systems,” Radiotekhnika i Élektronika,10, No. 7, 1176 (1965).

    Google Scholar 

  107. L. A. Ostrovskii, “Dispersion compression of FM waves in an inhomogeneous plasma,” Izv. VUZ. Radiofiz.,12, No. 9, 1333 (1969).

    Google Scholar 

  108. L. A. Ostrovskii and I. A. Papilova, Dispersion Compression of Frequency-Modulated Signals in an Inhomogeneous Plasma. Report to a Symposium on Wave Diffraction [in Russian], Leningrad (1970).

  109. L. A. Pitaevskii, “Energy forces in a transparent medium having dispersion,” Zh. Éksperim. i Teor. Fiz.,39, No. 5 (11), 1450 (1960).

    Google Scholar 

  110. G. M. Roe and M. R. Boyd, “Parametric energy conversion in distributed systems,” Proc. IRE,47, 1213 (1959).

    Google Scholar 

  111. R. Landauer, “Parametric amplification along nonlinear transmission lines,” J. Appl. Phys.,31, No. 3, 479 (1960).

    Google Scholar 

  112. G. P. Katys, N. V. Kravtsov, L. E. Chizhov, and S. N. Konovalov, Modulation and Deflection of Optical Radiation [in Russian] Nauka, Moscow (1967).

    Google Scholar 

  113. A. L. Mikaelyan and I. G. Tetel'baum, “Control of the frequency of electromagnetic waves by means of ferrites,” Radiotekhnika i Élektronika,4, No. 12, 2077 (1959).

    Google Scholar 

  114. D. S. Sarkar and P. I. John, “The propagation of electromagnetic waves in a periodically varying medium,” J. Inst. Telecommun. Eng.,11, No. 12, 1515 (1968).

    Google Scholar 

  115. N. S. Stepanov, Propagation of Waves in Certain Systems Having Varying Parameters [in Russian], Dissertation, Gor'kii University (1963).

  116. A. I. Vesnitskii, L. A. Ostrovskii, V. V. Papko, and V. N. Shabanov, “Pulsed parametric generation in distributed systems,” Pis'ma v Zh. Éksperim i Teor. Fiz.,9, No. 5, 274 (1969).

    Google Scholar 

  117. G. S. Gorelik and V. A. Zverev, “On the problem of the interaction of sound waves,” Akust. Zh.,1, No. 4, 339 (1955).

    Google Scholar 

  118. V. A. Zverev and A. I. Kalachev, “Measurement of the interaction of sound waves in liquids,” Akust. Zh.,4, No. 4, 320 (1958).

    Google Scholar 

  119. N. S. Stepanov, “On the problem of the interaction of longitudinal and transverse elastic waves,” Akust. Zh.,13, No. 2, 270 (1967).

    Google Scholar 

  120. V. P. Tychinskii and V. G. Fedorov, “Frequency conversion in a traveling wave tube with a drift tube,” Radiotekhnika i Élektronika,2, No. 10, 1306 (1967).

    Google Scholar 

  121. V. P. Tychinskii, “On the problem of frequency conversion by means of a special electronic device,” Radiotekhnika i Élektronika,1, No. 12, 1525 (1956).

    Google Scholar 

  122. V. A. Zverev, “On a certain new method of investigating the dispersion of ultrasound,” in: Collection in Memory of A. A. Andronov [in Russian], Izd. AN SSSR, Moscow (1955), p. 657.

  123. F. Fujita and H. Muramatsu, “Reflection and transmission of a plane electromagnetic wave at a fast moving boundary,” Proc. IEEE,56 No. 9, 1605 (1968).

    Google Scholar 

  124. H. Fujuoka, F. Nihei, and N. Kumagai, “Interaction of plane electromagnetic waves by a moving conducting semiinfinite dielectric,” J. Appl. Phys.,39, No. 4, 216 (1968).

    Google Scholar 

  125. B. R. Shawla and H. Unz., “Reflection and transmission of electromagnetic waves normally incident on a plasma slab moving uniformly along a magnetostatic field,” IEEE Trans. Ant. and Propag.,17, No. 6, 771 (1969).

    Google Scholar 

  126. Yu. M. Sorokin and N. S. Stepanov, “Reflection and refraction of electromagnetic waves by a moving ionization region,” Izv. VUZ. Radiofiz. (in press).

  127. H. Poeverlein, “Sommerfeld-Runge law in three and four dimensions,” Phys. Rev.,128, No. 2, 956 (1962).

    Google Scholar 

  128. J. Bazer and J. Hurley, “Geometrical Hydromagnetics,” J. Geophys. Res.,68, No. 1, 147 (1963).

    Google Scholar 

  129. V. U. Gurovich and V. I. Karpman, “On the dynamics of electrosonic waves in a liquid and in a plasma,” Zh. Éksperim. i Teor. Fiz.,56, No. 6, 1952 (1969).

    Google Scholar 

  130. Yu. A. Kravtsov, A. I. Kugushev, and A. V. Chernykh, “On corrections to the ‘quasistationary’ value of the permittivity tensor of a smoothly inhomogeneous electronic plasma,” Zh. Éksperim. i Teor. Fiz.,59, No. 6(12), 2160 (1970).

    Google Scholar 

  131. R. C. Costen and D. Adamson, “Three-dimensional derivation of the electrodynamic jump conditions and momentum-energy laws at a moving boundary,” Proc. IEEE,53, No. 9, 1181 (1965).

    Google Scholar 

  132. V. V. Borisov, “The transition in the limit to the velocity of light in the problem of the incidence of a plane wave on a moving ionization front,” Izv. VUZ. Radiofiz.,13, No. 9, 1376 (1970).

    Google Scholar 

  133. L. A. Ostrovskii, “On the theory of wave motions of nonstationary compressive media,” Prikladnaya Matem. Mekh.,37, No. 5, 924 (1963).

    Google Scholar 

  134. Yu. M. Sorokin and N. S. Stepanov, “The application of variational methods to the investigation of wave propagation in systems with traveling parameters,” Priklad. Mekh. i Tekh. Fiz. (in press).

Download references

Authors

Additional information

Scientific-Research Radiophysics Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 14, No. 4, pp. 489–529, April, 1971.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ostrovskii, L.A., Stepanov, N.S. Nonresonance parametric phenomena in distributed systems. Radiophys Quantum Electron 14, 387–419 (1971). https://doi.org/10.1007/BF01030725

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01030725

Navigation