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The Sagnac effect: correct and incorrect explanations


Federal Research Center Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, Nizhny Novgorod, 603000, Russian Federation

Different explanations for the Sagnac effect are discussed. It is shown that this effect is a consequence of the relativistic law of velocity composition and that it can also be explained adequately within the framework of general relativity. When certain restrictions on the rotational velocity are imposed, the Sagnac effect can be attributed to the difference in the time dilation (or phase change) of material particle wave functions in the scalar (or correspondingly vector) gravitational potential of the inertial forces in a rotating reference system for counterpropagating waves. It is also shown that all the nonrelativistic interpretations of the Sagnac effect, which are unfortunately sometimes found in scientific papers, monographs and textbooks, are wrong in principle, even though the results they yield are accurate up to relativistic corrections in some special cases.

Fulltext is available at IOP
PACS: 01.65.+g, 03.30.+p, 07.60.Ly, 42.87.Bg (all)
DOI: 10.1070/pu2000v043n12ABEH000830
URL: https://ufn.ru/en/articles/2000/12/c/
Citation: Malykin G B "The Sagnac effect: correct and incorrect explanations" Phys. Usp. 43 1229 (2000)
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Оригинал: Малыкин Г Б «Эффект Саньяка. Корректные и некорректные объяснения» УФН 170 1325–1349 (2000); DOI: 10.3367/UFNr.0170.200012c.1325

References (290) ↓ Cited by (29) Similar articles (20)

  1. Sagnac M G C.R. Acad. Sci. 157 708 (1913)
  2. Sagnac M G C.R. Acad. Sci. 157 1410 (1913)
  3. Sagnac M G J. Phys.-Paris Ser. 5 4 177 (1914)
  4. Vavilov S I "Eksperimental’nye osnovaniya teorii otnositel’nosti" ("Experimental grounds of the theory of relativity") Sobranie Sochineniî Vol. 4 (Collected Works, Moscow: Izd. Akad. Nauk SSSR, 1956) p. 9
  5. Post E J Rev. Mod. Phys. 39 475 (1967)
  6. Frankfurt U I, Frenk A M Optika Dvizhushchikhsya Tel (Optics of Moving Bodies, Moscow: Nauka, 1972)
  7. Anderson R, Bilger H R, Stedman G E Am. J. Phys. 62 975 (1994)
  8. Malykin G B Usp. Fiz. Nauk 167 337 (1997) [Phys. Usp. 40 317 (1997)]
  9. Hasselbach F, Nicklaus M Phys. Rev. A 48 143 (1993)
  10. Logunov A A, Chugreev Yu V Usp. Fiz. Nauk 156 137 (1988) [Sov. Phys. Usp. 31 861 (1988)]
  11. Vugal’ter G A, Malykin G B Izv. Vyssh. Uchebn. Zaved. Radiofiz. 42 373 (1999)
  12. Michelson A A Am. J. Sci. Ser. III 22 120 (1881)
  13. Michelson A A, Morley E W Am. J. Sci. Ser. III 34 333 (1887)
  14. Bershteîn I L Dokl. Akad. Nauk SSSR 75 635 (1950)
  15. Vysotskiî V I et al. Usp. Fiz. Nauk 164 309 (1994) [Phys. Usp. 37 289 (1994)]
  16. Neutze R, Hasselbach F Phys. Rev. A 58 557 (1998)
  17. Werner S A, Staudenmann J L, Colella R Phys. Rev. Lett. 42 1103 (1979)
  18. Dresden M, Yang C N Phys. Rev. D 20 1846 (1979)
  19. Riehle F et al. Phys. Rev. Lett. 67 177 (1991)
  20. Lenef A et al. Phys. Rev. Lett. 78 760 (1997)
  21. Gustavson T L, Bouyer P, Kasevich M A Phys. Rev. Lett. 78 2046 (1997)
  22. Wallace A "Electromagnetic wave gyroscopes or angular velocity measuring system" US Patent No. 3102953 (Sept. 3, 1963, filed Jul. 9, 1958)
  23. Newburgh R G et al. Proc. IEEE 62 1621 (1974)
  24. Malykin G B Izv. Vyssh. Uchebn. Zaved. Radiofiz. 41 767 (1998)
  25. Yilmaz H, in Proc. of the Fourth Marcel Grossmann Meeting on General Relativity (Ed. R Ruffini, Amsterdam: Elsevier Science Publ., 1986) p. 1753
  26. Laue M Ann. Phys.-Leipzig 62 448 (1920)
  27. Silberstein L T J. Opt. Soc. Am. 5 291 (1921)
  28. Corps F C.R. Acad. Sci. 190 623 (1930)
  29. Metz A C.R. Acad. Sci. 232 1185 (1951)
  30. Metz A C.R. Acad. Sci. 234 597 (1952)
  31. Metz A C.R. Acad. Sci. 234 705 (1952)
  32. Metz A J. Phys. Radium 13 224 (1952)
  33. Ezekiel S, in Fiber-Optic Rotation Sensors and Related Technologies (Springer Series in Optical Sciences, Vol. 32, Eds S Ezekiel, H J Arditty, Berlin: Springer-Verlag, 1982) p. 2
  34. Landau L D, Lifshitz E M Teoreticheskaya Fizika T. 2 Teoriya Polya (Course of Theoretical Physics Vol. 2 The Classical Theory of Fields, Moscow: Nauka, 1967) [Translated into English: The Classical Theory of Fields (Oxford: Pergamon Press, 1971)]
  35. Tonnelat M-A Les Principes de la Théorie Électromagnétique et de la Relativite (Paris: Masson, 1959) [Translated into Russian (Moscow: IL, 1962) p. 295] [Translated into English: The Principles of Electromagnetic Theory and of Relativity (Dordrecht: D. Reidel, 1966)]
  36. Sheremet’ev A G Volokonnyî Opticheskiî Giroskop (Fibre-Optic Gyroscope, Moscow: Radio i Svyaz’, 1987)
  37. Lefevre H C, Arditty H J Appl. Optics 21 1400 (1982)
  38. Arditty H J, in Fiber-Optic Rotation Sensors and Related Technologies (Springer Series in Optical Sciences, Vol. 32, Eds S Ezekiel, H J Arditty, Berlin: Springer-Verlag, 1982) p. 44
  39. Landsberg G S Optika (Optics) 5th ed. (Moscow: Nauka, 1976)
  40. Einstein A Ann. Phys.-Leipzig 17 891 (1905) [Translated into Russian, in Sobranie Sochineniî Vol. 1 (Moscow: Nauka, 1965) p. 7]
  41. Okun’ L B, Selivanov K G, Telegdi V L Usp. Fiz. Nauk 169 1141 (1999) [Phys. Usp. 42 1045 (1999)]
  42. Hay Y J et al. Phys. Rev. Lett. 4 165 (1960)
  43. Gur’yanov A N et al. Pis’ma Zh. Eksp. Teor. Fiz. 32 240 (1980) [JETP Lett. 32 221 (1980)]
  44. Fresnel A Ann. Chimie Physique 9 (XLIX) 57 (1818) [Translated into Russian, in Izbrannye Trudy po Optike (Moscow: Gostekhizdat, 1955) p. 516]
  45. Carvalho R T, Blake J Proc. SPIE 2837 183 (1996)
  46. Harress F "Die geschwindigkeit des lichtes in bewegten korper" Dissertation (Jena, 1912)
  47. Harzer P Astron. Nach. 198 (4748) 377 (1914)
  48. Knopf O Ann. Phys.-Leipzig 62 389 (1920)
  49. Zernike F Physica 13 279 (1947)
  50. Pogany B Ann. Phys.-Leipzig 80 217 (1926)
  51. Pogany B Naturwissenschaften 15 177 (1927)
  52. Pogany B Ann. Phys.-Leipzig 85 244 (1928)
  53. Dufour A, Prunier F J. Phys. Radium Ser. 8 3 153 (1942)
  54. Einstein A Astron. Nachr. 199 8 (1914) [Translated into Russian, in Sobranie Sochineniî Vol. 1 (Moscow: Nauka, 1965) p. 313]
  55. Vali V, Shorthill R W, Bergh M F Appl. Opt. 16 2605 (1977)
  56. Leeb W R, Schiffner G, Scheiterer E Appl. Opt. 18 1293 (1979)
  57. Fateev V F Opt. Spektrosk. 54 697 (1983) [Opt. Spectrosc. 54 412 (1983)]
  58. Laub J Ann. Phys.-Leipzig 25 175 (1908)
  59. Fizeau H C.R. Acad. Sci. 33 349 (1851)
  60. Fizeau H Ann. Chimie Physique 57 385 (1859)
  61. Zeeman P Amst. Verslag. Afd. Natuurk 23 245 (1914)
  62. Zeeman P Amst. Verslag. Afd. Natuurk 24 18 (1915)
  63. Kantor W J. Opt. Soc. Am. 52 978 (1962)
  64. Frankfurt U I Spetsial’naya i Obshchaya Teoriya Otnositel’nosti (Special and General Theory of Relativity, Moscow: Nauka, 1968)
  65. Bilger H R, Stowell W K Phys. Rev. A 16 313 (1977)
  66. Bilger H R, Zavodny A T Phys. Rev. A 5 591 (1972)
  67. Witte H Verhandl. deut. Physik. Ges. 16 143 (1914)
  68. Witte H Verhandl. deut. Physik. Ges. 16 754 (1914)
  69. Laue M Sitz. Bayer. Akademie 405 (1911) [Translated into Russian: Stat’i i Rechi (Moscow: Nauka, 1969) p. 52]
  70. Lunn A C J. Opt. Soc. Am. 6 112 (1922)
  71. Runge C Naturwissenschaften 13 440 (1925)
  72. Langevin P C.R. Acad. Sci. 205 304 (1937)
  73. Møller C The Theory of Relativity (Oxford: Clarendon Press, 1972)] [Translated into Russian (Moscow: Atomizdat, 1975)]
  74. Lefevre H C, in Optical Fiber Sensors: Systems and Applications Vol. 2 (Eds B Culshaw, J Daikin, Norwood, MA: Artech House, 1989) p. 381
  75. Lefevre H The Fiber-Optic Gyroscope (Boston: Artech House, 1993)
  76. Wilkinson J R Prog. Quant. Electron. 11 1 (1987)
  77. Allan D W, Weiss M A, Ashby N Science 228 69 (1985)
  78. Logunov A A, Chugreev Yu V Vestn. Mosk. Gos. Univ. Ser. 3: Fiz., Astron. 29 (1) 3 (1988)
  79. Dieks D, Nienhuis G Am. J. Phys. 58 650 (1990)
  80. Dieks D Found. Phys. Lett. 3 347 (1990)
  81. Hehl F W, Ni W-T Phys. Rev. D 42 2045 (1990)
  82. Khaîkin S E Mekhanika (Mechanics) 2nd ed. (Moscow-Leningrad: Gostekhizdat, 1947)
  83. Eddington A S The Mathematical Theory of Relativity (Cambridge: Univ. Press, 1924) [Translated into Russian (Moscow-Leningrad: GTTI, 1934)]
  84. Mandel’shtam L I "Lektsii po fizicheskim osnovam teorii otnositel’nosti (1933-1934)" ("Lectures on physical principles of relativity theory (1933-1934)"), in Polnoe Sobranie Trudov Vol. 5 (Complete Works, Leningrad: Izd. Akad. Nauk SSSR, 1950) p. 90
  85. Einstein A Sitzungsber. preuss. Akad. Wiss. 2 1030 (1914) [Translated into Russian, in Sobranie Sochineniî T. 1 (Moscow: Nauka, 1965) p. 326]
  86. Wien W "Teoriya otnositel’nosti" ("The theory of relativity"), in Minkowski H Prostranstvo i Vremya (Space and Time, St. Petersburg: Fizika, 1911) p. 56
  87. Minkowski H "Raum und zeit" Phys. Z. 10 104 (1909) [Translated into Russian, in Printsip Otnositel’nosti (The Principle of Relativity, Leningrad: ONTI, 1935) p. 181]
  88. Misner C W, Thorne K S, Wheeler J A Gravitation (San Francisco: W.H. Freeman and Co., 1973) [Translated into Russian (Moscow: Mir, 1977) T. 1, p. 207]
  89. Logunov A A Lektsii po Spetsial’noî Teorii Otnositel’nosti i Gravitatsii (Lectures on the Special Theory of Relativity and Gravitation, Moscow: Nauka, 1987)
  90. Mach E Die Mechanic in inher Entwicklung (Leipzig, 1904) [Translated into Russian: Mekhanika (St. Petersburg: Obshchestvennaya Pol’za, 1909) p. 186] [Translated into English: The Science of Mechanics, a Critical and Historical Account of Its Development (La Salle, Ill.: The Open Court Publ. Co., 1942)]
  91. Sommerfeld A Optik (Wiesbaden, 1950) [Translated into Russian (Moscow: IL, 1953) p. 111]
  92. Ishlinskiî A Yu Klassicheskaya Mekhanika i Sily Inertsii (Classical Mechanics and Inertial Forces, Moscow: Nauka, 1987)
  93. Ishlinskiî A Yu, Preprint IPMekh RAN No. 561 (Preprint Inst. Appl. Mechan. Russ. Acad. Sci. No. 561, Moscow: IPMekh RAN, 1996)
  94. Zhuravlev V F Osnovy Teoreticheskoî Mekhaniki (Fundamentals of Theoretical Mechanics, Moscow: Nauka-Fizmatlit, 1997)
  95. Kharlamov P V Ocherki ob Osnovaniyakh Mekhaniki (Sketches of the Principles of Mechanics, Kiev: Naukova Dumka, 1995)
  96. Einstein A Ann. Phys.-Leipzig 49 769 (1916) [Translated into Russian, in Sobranie Sochineniî Vol. 1 (Moscow: Nauka, 1965) p. 452]
  97. Einstein A Ann. Phys.-Leipzig 55 241 (1918) [Translated into Russian, in Sobranie Sochineniî Vol. 1 (Moscow: Nauka, 1965) p. 613]
  98. de Sitter W Mon. Not. R. Astron. Soc. 78 3 (1917) [Translated into Russian, in Al’bert Eînshteîn i Teoriya Gravitatsii (Moscow: Mir, 1979) p. 299]
  99. Hönl H Naturwissenschaften Reihe 15 (1, 1966) [Translated into Russian, in Eînshteînovskiî Sbornik 1968 (Eds I E Tamm, G I Naan)] (Moscow: Nauka, 1968) p. 258]
  100. Thirring H Phys. Z. 19 33 (1918)
  101. Lense J, Thirring H Phys. Z. 19 156 (1918)
  102. Thirring H Phys. Z. 19 204 (1918)
  103. Thirring H Phys. Z. 22 29 (1921)
  104. Weyl H Raum, Zeit, Materie (Berlin: Springer, 1923) [Translated into Russian (Moscow: Yanus, 1996)]
  105. Dicke R H, in Gravitation and Relativity (Eds H-Y Chiu, W F Hoffmann, New York: W A Benjamin Inc., 1964) [Translated into Russian (Moscow: Mir, 1965) p. 221]
  106. Wheeler J A, in Gravitation and Relativity (Eds H-Y Chiu, W F Hoffmann, New York: W A Benjamin Inc., 1964) [Translated into Russian (Moscow: Mir, 1965) p. 468]
  107. Brans C, Dicke R H Phys. Rev. 124 925 (1961)
  108. Brans C Phys. Rev. 125 2194 (1962)
  109. Logunov A A Usp. Fiz. Nauk 165 187 (1995) [Phys. Usp. 38 179 (1995)]
  110. Will C M Theory and Experiment in Gravitational Physics (Cambridge: Cambridge Univ. Press, 1981) [Translated into Russian (Moscow: Energoatomizdat, 1985)]
  111. Volkov A M, Kiselev V A Zh. Eksp. Teor. Fiz. 58 1857 (1970) [Sov. Phys. JETP 31 965 (1970)]
  112. Volkov A M, Izmest’ev A A, Skrotskiî G V Opt. Spektrosk. 30 762 (1971)
  113. Korostelev A A, Fateev V F Opt. Spektrosk. 45 132 (1978) [Opt. Spectrosc. 45 73 (1978)]
  114. Volkov A M, Kiselev V A Zh. Eksp. Teor. Fiz. 57 1353 (1969) [Sov. Phys. JETP 30 712 (1970)]
  115. Fateev V F Opt. Spektrosk. 50 30 (1981) [Opt. Spectrosc. 50 14 (1981)]
  116. Shpak I V, Solomin A V Opt. Spektrosk. 46 133 (1979) [Opt. Spectrosc. 46 72 (1979)]
  117. Belenov É M, Markin E P Pis’ma Zh. Eksp. Teor. Fiz. 7 497 (1968) [JETP Lett. 7 381 (1968)]
  118. Langevin P C.R. Acad. Sci. 173 831 (1921)
  119. Heer C V Phys. Rev. 134 799 (1964)
  120. Post E J Phys. Rev. Lett. 15 177 (1965)
  121. Post E J J. Opt. Soc. Am. 62 234 (1972)
  122. Khromykh A M Zh. Eksp. Teor. Fiz. 50 281 (1966) [Sov. Phys. JETP 23 185 (1966)]
  123. Bakalyar A I, Luk’yanov D P Osnovy Teorii Lazernykh Giroskopov i Ikh Primenenie v Navigatsionnykh Kompleksakh (Fundamentals of the Theory of Laser Gyroscopes and Their Application to Navigational Complexes, Leningrad: LVIKA, 1967)
  124. Volkov A M, Skrotskiî G V Opt. Spektrosk. 29 965 (1970)
  125. Volkov A M, Izmest’ev A A, Skrotskiî G V Zh. Eksp. Teor. Fiz. 59 1254 (1970) [Sov. Phys. JETP 32 687 (1971)]
  126. Fedorov B F, Sheremet’ev A G, Umnikov V N Opticheskiî Kvantovyî Giroskop (Optical Quantum Gyroscope, Moscow: Mashinostroenie, 1973)
  127. Ashtekar A, Magnon A J. Math. Phys. 16 341 (1975)
  128. Bychkov S I, Luk’yanov D P, Bakalyar A I Lazernyî Giroskop (Lazer Gyroscope, Moscow: Sov. Radio, 1975)
  129. Stodolsky L Gen. Relativ. Gravit. 11 391 (1979)
  130. Anandan J Phys. Rev. D 15 1448 (1977)
  131. Anandan J Phys. Rev. D 24 338 (1981)
  132. Chow W W et al. Rev. Mod. Phys. 57 61 (1985)
  133. Pomerantsev N M, Skrotskiî G V Usp. Fiz. Nauk 100 361 (1970) [Sov. Phys. Usp. 13 147 (1970)]
  134. Shpak I V, Solomin A V, Razgonyaev I V Opt. Spektrosk. 60 210 (1986) [Opt. Spectrosc. 60 132 (1986)]
  135. Sardyko V I Opt. Spektrosk. 82 598 (1997) [Opt. Spectrosc. 82 552 (1997)]
  136. Schulz-DuBois E O IEEE J. Quantum Elect. QE-2 (8) 299 (1966)
  137. Trocheris M G Philos. Mag. Ser. 7 40 1143 (1949)
  138. Yildiz A, Tang C H Phys. Rev. 146 947 (1966)
  139. Anderson J L, Ryon J W Phys. Rev. 181 1765 (1969)
  140. Volkov A M, Kiselev V A Opt. Spektrosk. 29 365 (1970)
  141. Mo T C J. Math. Phys. 11 2589 (1975)
  142. van Bladel J Proc. IEEE 61 260 (1973)
  143. Shiozava T Proc. IEEE 61 1694 (1973)
  144. Lianis G, Whicker D Arch. Ration. Mech. Anal. 57 325 (1975)
  145. Shpak I V et al. Zh. Eksp. Teor. Fiz. 79 2057 (1980) [Sov. Phys. JETP 52 994 (1980)]
  146. Prade B, Vinet J Y Nuovo Cimento B 101 323 (1988)
  147. Scorgie G C J. Phys. A-Math. Gen. 23 5169 (1990)
  148. Shurkliff W A Polarized Light (Cambridge, Mass.: Harvard Univ. Press, 1962) [Translated into Russian (Moscow: Mir, 1965)]
  149. Kintner E Opt. Lett. 6 154 (1981)
  150. Pawlath G A, Shaw H J Appl. Opt. 21 1400 (1982)
  151. Burns W K, Moeller R P J. Lightwave Techn. LT-2 430 (1984)
  152. Kozel S M et al. Opt. Spektrosk. 61 1295 (1986) [Opt. Spectrosc. 61 814 (1986)]
  153. Malykin G B Izv. Vyssh. Uchebn. Zaved. Radiofiz. 34 817 (1991) [Radiophys. Quantum Electron. 34 667 (1991)]
  154. Malykin G B Izv. Vyssh. Uchebn. Zaved. Radiofiz. 35 189 (1992) [Radiophys. Quantum Electron. 35 134 (1992)]
  155. Malykin G B Opt. Spektrosk. 75 1314 (1993) [Opt. Spectrosc. 75 775 (1993)]
  156. Malykin G B Opt. Spektrosk. 76 540 (1994) [Opt. Spectrosc. 76 484 (1994)]
  157. Malykin G B, Nefedov I M, Shereshevskiî I A Izv. Vyssh. Uchebn. Zaved. Radiofiz. 37 1473 (1994) [Radiophys. Quantum Electron. 37 953 (1994)]
  158. Malykin G B et al. Izv. Vyssh. Uchebn. Zaved. Radiofiz. 37 1567 (1994) [Radiophys. Quantum Electron. 37 1017 (1994)]
  159. Malykin G B, Pozdnyakova V I, Pozdnyakov E L Izv. Vyssh. Uchebn. Zaved. Radiofiz. 38 1293 (1995) [Radiophys. Quantum Electron. 38 845 (1995)]
  160. Malykin G B Opt. Spektrosk. 83 1013 (1997) [Opt. Spectrosc. 83 937 (1997)]
  161. Malykin G B, Pozdnyakova V I Opt. Spektrosk. 84 145 (1998) [Opt. Spectrosc. 84 131 (1998)]
  162. Malykin G B, Pozdnyakova V I Opt. Spektrosk. 86 505 (1999) [Opt. Spectrosc. 86 444 (1999)]
  163. Malykin G B, Pozdnyakova V I Opt. Spektrosk. 86 513 (1999) [Opt. Spectrosc. 86 451 (1999)]
  164. Malykin G B Opt. Spektrosk. 81 474 (1996) [Opt. Spectrosc. 81 431 (1996)]
  165. Malykin G B Opt. Spektrosk. 84 515 (1998) [Opt. Spectrosc. 84 455 (1998)]
  166. Andronova I A, Gelikonov G V, Malykin G B Kvantovaya Elektron. 26 271 (1999) [Quantum Electron. 29 271 (1999)]
  167. Michelson A A Astrophys. J. 61 137 (1925)
  168. Michelson A A, Gale H G, Assisted by Pearson F Astrophys. J. 61 140 (1925)
  169. Scully M O, Zubairy M S, Haugan M P Phys. Rev. A 24 2009 (1981)
  170. Burns W K, Moeller R P J. Lightwave Tech. LT-5 1024 (1987)
  171. Malykin G B, Pozdnyakova V I Zh. Tekh. Fiz. 69 (7) 140 (1999) [Tech. Phys. 44 864 (1999)]
  172. Silverman M P Phys. Lett. A 146 175 (1990)
  173. Gladyshev V O Zh. Tekh. Fiz. 69 (5) 97 (1999) [Tekh. Phys. 44 566 (1999)]
  174. Einstein A Jarb. Radioaktivität Elektronik 4 411 (1907) [Translated into Russian, in Sobranie Sochineniî Vol. 1 (Moscow: Nauka, 1965) p. 65]
  175. Einstein A Ann. Phys.-Leipzig 35 898 (1911) [Translated into Russian, in Sobranie Sochineniî Vol. 1 (Moscow: Nauka, 1965) p. 165]
  176. Coisson R Am. J. Phys. 41 585 (1973)
  177. Semon M D, Schmieg G M Am. J. Phys. 49 689 (1981)
  178. Opat G I Am. J. Phys. 58 1173 (1990)
  179. Targ S M, in Fizicheskaya Entsiklopediya Vol. 1 (Physical Encyclopedia, Moscow: Sov. Entsiklopediya, 1988) p. 489
  180. Tamm I E Osnovy Teorii Elektrichestva 3rd ed. (Fundamentals of the Theory of Electricity, Moscow-Leningrad: Gostekhizdat, 1946)
  181. Anandan J Nuovo Cimento A 53 221 (1979)
  182. Sakurai J J Phys. Rev. D 21 2993 (1980)
  183. Hendriks B H, Nienhuis G Quantum Opt. 2 13 (1990)
  184. Xu H H, Tsai C H Phys. Rev. A 41 4046 (1990)
  185. Fearn H Quantum Semiclass. Opt. 7 (3) 205 (1995)
  186. Linet B, Tourrenc P Can. J. Phys. 54 1129 (1976)
  187. Aharonov Y, Bohm D Phys. Rev. 115 485 (1959)
  188. Olariu S, Popescu I I Rev. Mod. Phys. 57 339 (1985)
  189. Skarzhinskiî V D, in Fizicheskaya Entsiklopediya Vol. 1 (Physical Encyclopedia, Moscow: Sov. Entsiklopediya, 1988) p. 7
  190. Barnett S J Phys. Rev. Ser. II 6 239 (1915)
  191. Barnett S J Rev. Mod. Phys. 7 129 (1937) [Usp. Fiz. Nauk 18 392 (1937)]
  192. Schiff L I Proc. Natl. Acad. Sci. USA 25 391 (1939)
  193. Harris E G Am. J. Phys. 64 378 (1996)
  194. Aharonov Y, Carmi G Found. Phys. 3 493 (1973)
  195. Aharonov Y, Carmi G Found. Phys. 4 75 (1974)
  196. Harris J H, Semon M D Found. Phys. 10 151 (1980)
  197. Semon M D Found. Phys. 12 49 (1982)
  198. Lodge O J Philos. Trans. R. Soc. London Ser. A 184 727 (1893)
  199. Zel’dovich Ya B Pis’ma Zh. Eksp. Teor. Fiz. 1 (3) 40 (1965) [JETP Lett. 1 103 (1965)]
  200. Skrotskiî G V Dokl. Akad. Nauk SSSR 114 73 (1957)
  201. Balazs N L Phys. Rev. 110 236 (1958)
  202. Plebanski J Phys. Rev. 118 1396 (1960)
  203. Klyshko D N Usp. Fiz. Nauk 163 (11) 1 (1993) [Phys. Usp. 36 1005 (1993)]
  204. Berry M V Proc. R. Soc. London Ser. A 392 45 (1984)
  205. Vinitskiî S I et al. Usp. Fiz. Nauk 160 (6) 1 (1990) [Sov. Phys. Usp. 33 403 (1990)]
  206. Berry M Phys. Today 43 (12) 34 (1990)
  207. Anandan J Nature 360 307 (1992)
  208. Bodnarchuk V I, Davtyan L S, Korneev D A Usp. Fiz. Nauk 166 185 (1996) [Phys. Usp. 39 169 (1996)]
  209. Malykin G B Izv. Vyssh. Uchebn. Zaved. Radiofiz. 40 265 (1997) [Radiophys. Quantum Electron. 40 175 (1997)]
  210. Rytov S M Dokl. Akad. Nauk SSSR 18 263 (1938)
  211. Rytov S M Tr. Fiz. Inst. Akad. Nauk SSSR 2 (1) 41 (1940)
  212. Vladimirskiî V V Dokl. Akad. Nauk SSSR 31 222 (1941)
  213. Berry M Nature 326 277 (1987)
  214. Berry M V J. Mod. Optics 34 1400 (1987)
  215. Pancharatnam S Proc. Ind. Acad. Sci. A 44 247 (1956)
  216. Ishlinskiî A Yu Priborostroenie (4-5) 3 (1944)
  217. Ishlinskiî A Yu Mekhanika Giroskopicheskikh Sistem (Mechanics of Gyroscopic Systems, Moscow: Izd. Akad. Nauk SSSR, 1963) [Translated into English (Jerusalem: Israel Program for Scientific Translations, 1965)]
  218. Malykin G B Usp. Fiz. Nauk 169 585 (1999) [Phys. Usp. 42 505 (1999)]
  219. Malykin G B Prikl. Mat. Mekh. 63 775 (1999)
  220. Malykin G B, Permitin G V, in Fizicheskaya Entsiklopediya Vol. 5 (Physical Encyclopedia, Moscow: Ros. Entsiklopediya, 1998) p. 123
  221. Frins E M, Dultz W Opt. Commun. 136 354 (1997)
  222. Aharonov Y, Casher A Phys. Rev. Lett. 53 319 (1984)
  223. Mashhoon B Phys. Rev. Lett. 61 2639 (1988)
  224. Appelt S, Wackerle G, Mehring M Phys. Rev. Lett. 72 3921 (1994)
  225. Appelt S, Wackerle G, Mehring M Phys. Lett. A 204 210 (1995)
  226. Corum J F J. Math. Phys. 18 770 (1977)
  227. Burghardt R Ann. Phys.-Leipzig 40 140 (1913)
  228. Lodge O Philos. Trans. R. Soc. London Ser. A 189 149 (1897)
  229. Michelson A A Philos. Mag. Ser. 6 8 716 (1904)
  230. Silberstein L The Theory of Relativity (London: MacMillan and Co., Ltd., 1914)
  231. Miller D C Nature 11 July (1925) [Translated into Russian: Pod Znamenem Marksizma (8-9) 194 (1925)]
  232. Miller D Proc. Natl. Acad. Sci. USA 11 311 (1925) [Usp. Fiz. Nauk 5 177 (1925)]
  233. Silberstein L Nature 23 May (1925) [Translated into Russian: Pod Znamenem Marksizma (8-9) 192 (1925)]
  234. Timiryazev A Pod Znamenem Marksizma (8-9) 191 (1925)
  235. Shankland R S et al. Rev. Mod. Phys. 27 167 (1955)
  236. Winterberg F Z. Naturforsch. A 44 1145 (1989)
  237. Marinov S Phys. Lett. A 54 19 (1975)
  238. Aronowitz F, in Laser Applications Vol. 1 (New York: Academic Press, 1971) p. 133 [Translated into Russian (Moscow: Mir, 1974) p. 182]
  239. Bergh R A, Lefevre H C, Shaw H J J. Lightwave Tech. LT-2 91 (1984)
  240. Novacu V Introducere in Electrodinamica (Romine: Ed. Acad. Rep. Romine Popul, 1955) [Translated into Russian (Moscow: IL, 1963)]
  241. Butikov E I Optika (Optics, Moscow: Vysshaya Shkola, 1986) p. 413
  242. Joos G Lehrbuch der Theoretischen Physik (Leipzig: Geest und Porting, 1964) p. 448) [Translated into Russian (Moscow: Uchpedgiz, 1966) p. 490] [Translated into English: Theoretical Physics (New York: Dover Publ., 1986)]
  243. Ditchburn R W Light (London: Blackie&Son, 1963) [Translated into Russian (Moscow: Nauka, 1965) p. 332]
  244. Ugarov V A Spetsial’naya Teoriya Otnositel’nosti (Special Theory of Relativity, Moscow: Nauka, 1977)
  245. Gersht E P Kvantovo-generatornye (Lazernye i Yadernye) Giroskopy (Quantum-Oscillating (Laser and Nuclear) Gyroscopes, Leningrad: LVIKA, 1967)
  246. Ishchenko E F, Klimkov Yu M Opticheskie Kvantovye Generatory (Optical Quantum Oscillators, Moscow: Sov. Radio, 1968) p. 432
  247. Arditty H J, Lefevre H C Opt. Lett. 6 401 (1981)
  248. Stolyarov S N, in Fizicheskiî Entsiklopedicheskiî Slovar’ Vol. 4 (Physical Encyclopedic Dictionary, Moscow: Sov. Entsiklopediya, 1965) p. 466
  249. Stolyarov S N, in Fizicheskaya Entsiklopediya Vol. 4 (Physical Encyclopedia, Moscow: Bol’shaya Ross. Entsiklopediya, 1994) p. 417
  250. Tolman R C Relativity, Thermodynamics and Cosmology (Oxford: Clarendon Press, 1969) [Translated into Russian (Moscow: Nauka, 1974) p. 199]
  251. Tonnelat M A Ann. Inst. Henri Poincaré 1 (1) 79 (1964) [Translated into Russian, in Einshteînovskiî Sbornik 1968 (Eds I E Tamm, G I Naan, Moscow: Nauka, 1967) p. 175]
  252. Dufour A, Prunier F C.R. Acad. Sci. 204 1322 (1937)
  253. Privalov V E, Fridrikhov S A Usp. Fiz. Nauk 97 377 (1969) [Sov. Phys. Usp. 12 153 (1969)]
  254. Kaliteevskiî N I Volnovaya Optika (Wave Optics, Moscow: Vysshaya Shkola, 1995) p. 372
  255. Poluéktov I A, Belenov É M, in Kvantovaya Elektronika. Malen’kaya Entsiklopediya (Exec. Ed. M E Zhabotinskiî, Quantum Electronics. Small Encyclopedia, Moscow: Sov. Entsiklopediya, 1969) p. 293
  256. Strakhovskiî G M, Uspenskiî A V Osnovy Kvantovoî Elektroniki (Fundamentals of Quantum Electronics, Moscow: Vysshaya Shkola, 1973) p. 277
  257. Kovacs K P J. Opt. Soc. Am. 62 1264 (1972)
  258. Leonhardt U, Piwnicki P Phys. Rev. A 60 4301 (1999)
  259. Silberstein L Philos. Mag. Ser. 6 48 395 (1924)
  260. Molchanov V Ya, Skrotskiî G V Zh. Prikl. Spektrosk. 18 485 (1973)
  261. Rivlin L A Usp. Fiz. Nauk 167 309 (1997) [Phys. Usp. 40 291 (1997)]
  262. Skrotskiî G V, Izmest’ev A A Dokl. Akad. Nauk SSSR 178 77 (1968)
  263. Fermi E Rend. Lincei 32 115 (1923) [Translated into Russian, in Nauchnye Trudy Vol. 1 (Moscow: Nauka, 1971) p. 104]
  264. Player M A Proc. R. Soc. London Ser. A 349 441 (1976)
  265. Jones R V Proc. R. Soc. London Ser. A 349 423 (1976)
  266. Shpak I V, Solomin A V, Razgonyaev I V Ukr. Fiz. Zh. 30 1637 (1985)
  267. Zhuravlev V F, Klimov D M Volnovoî Tverdotel’nyî Giroskop (Wave Solid Gyroscope, Moscow: Nauka, 1985)
  268. Packard R E, Vitale S Phys. Rev. B 46 3540 (1992)
  269. Avenel O, Hakonen P, Varoquaux E Phys. Rev. Lett. 78 3602 (1997)
  270. Schwab K, Bruckner N, Packard R E Nature (London) 386 585 (1997)
  271. Schulz-DuBois E O Am. J. Phys. 38 173 (1970)
  272. Will C M Phys. Today 25 (10) 23 (1972)
  273. Will C M, in Experimental Gravitation (Proc. Intern. School of Physics "Enrico Fermi", Course 56, Ed. B Bertotti, New York: Academic Press, 1974) p. 1
  274. Yilmaz H Phys. Rev. 111 1417 (1958)
  275. Yilmaz H Phys. Rev. Lett. 27 1399 (1971)
  276. Yilmaz H Ann. Phys. (N.Y.) 81 179 (1973)
  277. Smoot G F, Gorenstein M V, Muller R A Phys. Rev. Lett. 29 898 (1977)
  278. Chang T Phys. Lett. A 70 (1) 1 (1979)
  279. Rembielinsky J Phys. Lett. A 78 (1) 33 (1980)
  280. Hils D, Hall J L Phys. Rev. Lett. 64 1697 (1990)
  281. Malykin G B, in Proc. XVIIIth Workshop on High Energy and Field Theory, Protvino, June 26-30, 1995 (Protvino, 1996) p. 31
  282. Ihm J Phys. Rev. Lett. 67 251 (1991)
  283. Ihm J Int. J. Mod. Phys. B 7 2109 (1993)
  284. Stedman G E et al. Opt. Lett. 20 324 (1995)
  285. Kuriyagawa A, Mori S Phys. Rev. D 20 1290 (1979)
  286. Forder P W J. Phys. A-Math. Gen. 17 1343 (1984)
  287. Rosenbloom J H Bull. Am. Phys. Soc. 39 1152 (1994)
  288. Schwarzschild K Sitzungsber. d. Akad. Wiss. (Berlin, 1916) p. 189 [Translated into Russian, in Al’bert Eînshteîn i Teoriya Gravitatsii (Moscow: Mir, 1979) p. 199]
  289. Nikolic H Phys. Rev. A 61 032109 (2000)
  290. Shankland R S Am. J. Phys. 31 47 (1963) [Translated into Russian, in Eînshteînovskiî Sbornik 1967 (Eds I E Tamm, G I Naan)] (Moscow: Nauka, 1968) p. 57]

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