Impedance and parametric excitation of oscillators

Physics-Uspekhi

Volumn 51, Issue 5, 2008, Pages 465-484

  Zeldovich, B Ya ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); LINEAR EQUATIONS; MATRIX ALGEBRA; OSCILLATORS (ELECTRONIC); PARAMETRIC OSCILLATORS;

COUPLED OSCILLATORS; IMPEDANCE MATRICES; PARAMETRIC EXCITATIONS; TIME DEPENDENCES;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 51549117543     PISSN: 10637869     EISSN: None     Source Type: Journal    
DOI: 10.1070/PU2008v051n05ABEH006498     Document Type: Article

References (81)

1. Veselago V G Usp. Fiz. Nauk 92 517 (1967)
2. [Sov. Phys. Usp. 10 509 (1968)]
3. Pendry J B Phys. Rev. Lett. 85 3966 (2000)
4. Priou A, Sihvola A, Tretyakov S, Vinogradov A (Eds) Advances in Complex Electromagnetic Materials (NATO ASI Series 3: High Technology, Vol. 28) (Dordrecht: Kluwer Acad., 1997)
5. Zouhdi S, Sihvola A, Arsalane M (Eds) Advances in Electromagnetics of Complex Media and Metamaterials (NATO Science Series, Ser. II: Mathematics, Physics, and Chemistry, Vol. 89) (Dordrecht: Kluwer Acad. Publ., 2002)
6. Metamaterials Publications, see http://meta-materials.mit.edu/ metamaterials/papers/papers.html
7. Professor Sir John Pendry, http://www3.imperial.ac.uk/people/j.pendry
8. Investigated in Russia, http://www.jinr.ru/invest_in_Russia.html
9. BliokhK Yu, Bliokh Yu P Usp. Fiz. Nauk 174439 (2004)
10. [Phys. Usp. 47 393 (2004)]
11. Agranovich V M, Gartstein Yu N Usp. Fiz. Nauk 176 1051 (2006)
12. [Phys. Usp. 49 1029 (2006)]
13. Shevchenko V V Usp. Fiz. Nauk 177 301 (2007)
14. [Phys. Usp. 50 287 (2007)]
15. Lindell I V et al. Electromagnetic Waves in Chiral and Bi-Isotropic Media (Boston: Artech House, 1994)
16. Kostin M V, Shevchenko V V, in Proc. of Bianisotropics'93, Gomel, Belarus, 1993 (Eds A Sihvola, S Tretyakov, I Semchenco) (Helsinki: Univ. of Technology, 1993) p. 22
17. Kostin M V, Shevchenko V V, in Proc. of 3rd Intern. Workshop on Chiral, Bi-isotropic and Bianisotropic Media (Eds F Mariotte, J-P Parneix) (France: Perigueux, 1994) p. 49
18. Shevchenko V V, in Proc. of 4th Intern. Conf. on Chiral, Bi-Isotropic and Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 42
19. Kostin M V, Shevchenko V V, in Proc. of 4th Intern. Conf. on Chiral, Bi-Isotropic and Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 64
20. Vinogradov A P, Romanenko V E, in Proc. of 4th Intern. Conf. on Chiral, Bi-Isotropic, and Bianisotropic Media (Eds A Sihvola et al.) (State College: The Pennsylvania State Univ., 1995) p. 143
21. Pendry J B et al. IEEE Trans. Micr. Theory Tech. 47 2075 (1999)
22. Schelkunoff S A, Friis H T Antennas Theory and Practice (New York: Wiley, 1952) [Translated into Russian (Moscow: Sov. Radio, 1955)]
23. Lagarkov A N, Sarychev A K, Smychkovich Y R, Vinogradov A P J. Electromagn. Waves Appl. 6 1159 (1992)
24. Serdyukov A N et al. Electromagnetics of Bi-Anisotropic Materials: Theory and Applications (Amsterdam: Gordon and Breach Sci. Publ., 2001)
25. Smith D R et al. Phys. Rev. B 65 195104 (2002)
26. Levin L Theory of Waveguides (London: Newnes-Butterworths, 1975) [Translated into Russian (Moscow: Radio i Svyaz', 1981)]
27. Vinogradov A P Elektrodinamika Kompozitnykh Materialov (Electrodynamics of Composite Materials) (Moscow: URSS, 2001)
28. Born M, Wolf E Principles of Optics (Oxford: Pergamon Press, 1969) [Translated into Russian (Moscow: Nauka, 1973)]
29. Vaganov R B, Katsenelenbaum B Z Osnovy Teorii Difraktsii (Foundations of Diffraction Theory) (Moscow: Nauka, 1982)
30. Pokrovsky A L, Efros A L Solid State Commun. 125 283 (2002)
31. Tayeb G, Petit R Opt. Acta 31 1361 (1984)
32. Shevchenko V V Radiotekh. Elektron. 48 1202 (2003)
33. [J. Commun. Technol. Electron. 48 1102 (2003)]
34. Landau L D, Lifshitz E M Elektrodinamika Sploshnykh Sred (Electrodynamics of Continuous Media) (Moscow: Nauka, 1992) [Translated into English (Oxford: Pergamon Press, 1984)]
35. Landauer R AIP Conf. Proc. 40 2 (1978)
36. Sanchez-Palencia E Non-Homogeneous Media and Vibration Theory (Berlin: Springer-Verlag, 1980) [Translated into Russian (Moscow: Mir, 1984)]
37. Zhikov V V, Kozlov S M, Oleinik O A Usrednenie Differentsial'nykh Operatorov (Averaging of Differential Operators) (Moscow: Fizmatlit, 1993)
38. Dykhne A M Zh. Eksp. Teor. Fiz. 59 110 (1970)
39. [Sov. Phys. JETP 32 63 (1971)]
40. Garnett JCM Philos. Trans. R. Soc. London 203 385 (1904)
41. Garnett JCM Philos. Trans. R. Soc. London 205 237 (1906)
42. Clausius R Mechanishe Warmetheorie Vol. 2 (Braunschweig: F.Vieweg, 1878)p. 62
43. Mossotti O F Mem. Soc. Sci. Modern 14 49 ( 1850)
44. Lorenz H A Wiedem. Ann. 9 641 (1880)
45. Lorentz L Wiedem. Ann. 11 10 (1881)
46. Herring C J. Appl. Phys. 31 1939 (1960)
47. Vinogradov A P, Karimov A M, Sarychev A K Zh. Eksp. Teor. Fiz. 94 301 (1988)
48. [Sov. Phys. JETP 67 212 (1988)]
49. Odelevskii VI Zh. Tekh. Fiz. 21 667 (1951)
50. Odelevskii V I Zh. Tekh. Fiz. 21 678 (1951)
51. Odelevskii VI Zh. Tekh. Fiz. 21 1379 (1951)
52. Brown W F "Dielectrics", in Handbuch der Physik Vol. XVII (Ed. S Flügge) (Berlin: Springer-Verlag, 1956) p. 1 [Translated into Russian (Moscow: IL, 1961)]
53. Bruggeman DAG Ann. Phys. (Leipzig) 24 636 (1935)
54. Sarychev A K, Vinogradov A P Phys. Status Solidi B 117 K113 (1983)
55. Hui P M, Stroud D Phys. Rev. 533 2163 (1986)
56. Lagarkov A N, Sarychev A K Phys. Rev. B 53 6318 (1996)
57. von Hippel A R Dielectrics and Waves (New York: Wiley, 1954) [Translated into Russian (Moscow: IL, I960)]
58. Lichtenecker K, Kother Z. Phys. 32 255 (1931)
59. Wagner K W Arch. Electrochem. 2 371 (1914)
60. Sheng P Phys. Rev. Lett. 25 60 (1980)
61. Niklasson G A, Granqvist C G J. Appl. Phys. 55 3382 (1984)
62. Breuers F J. Phys. C: Solid State Phys. 19 7183 (1986)
63. Gibson U J, Buhrman R A Phys. Rev. B 27 5046 (1983)
64. Granovsky A, Kuzmichev M, Clerc J P J. Magn. Soc. Jpn. 23 382 (1999)
65. Lagarkov A N, Kissel V N Phys. Rev. Lett. 92 077401 (2004)
66. Simovski C R Radiotekh. Elektron. 52 1031 (2007)
67. [J. Commun. Technol. Electron. 52 953 (2007)]
68. Vinogradov A P, Aivaziyan A V Phys. Rev. E 60 987 (1999)
69. Vinogradov A P, Merzlikin A V Zh. Eksp. Teor. Fiz. 121 565 (2002)
70. [JETP 94 482 (2002)]
71. Bergman D G Phys. Rep. 43 377 (1978)
72. Lozovik Yu E, Klyuchnik A V, in The Dielectric Function of Condensed Systems (Eds L V Keldysh, D A Kirzhnitz, A A Maradudin) (Amsterdam: Elsevier, 1987) p. 300
73. Vinogradov A P, Panina L V, Sarychev A K Dokl. Akad. Nauk SSSR 306 847 (1989)
74. [Sov. Phys. Dokl. 34 530 (1989)]
75. Hui P M, Stroud D Phys. Rev. B 33 2163 (1986)
76. Granek R, Abraham Nitzan J. Chem. Phys. 90 3784 (1989)
77. Poincaré H Acta Math. XXVI 43 ( 1902)
78. Osgood W F Topics in the Theory of Functions of Several Complex Variables (New York: Dover Publ., 1966)
79. Sivukhin D V Opt. Spektrosk. 3 308 (1957)
80. Vainshtein L A Elektromagnitnye Volny (Electromagnetic Waves) (Moscow: Radio i Svyaz', 1988)
81. Brillouin L Wave Propagation and Group Velocity (New York: Academic Press, 1960)