Geodesic
Polarization effects due to the mutual influence of trajectory parameters and polarization
Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 65-79 Cet article a éte moissonné depuis la source Math-Net.Ru

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In the geometric optics approximation, we comparatively analyze the polarization effects resulting from the influence of polarization on the beam trajectory. We show that the beam trajectory equations describing the optical Magnus effect that are obtained from the canonical Hamilton equations, Fermat principle, and truncated vector wave equations give the same result, coincident with the result in the mode approach. We explain the reasons underlying the previously derived results.
Keywords: optical Magnus effect, circular polarization, Fermat principle, Poynting vector. 
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     author = {N. R. Sadykov},
     title = {Polarization effects due to the~mutual influence of trajectory parameters and polarization},
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}
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N. R. Sadykov. Polarization effects due to the mutual influence of trajectory parameters and polarization. Teoretičeskaâ i matematičeskaâ fizika, Tome 149 (2006) no. 1, pp. 65-79. http://geodesic.mathdoc.fr/item/TMF_2006_149_1_a5/

[1] D. V. Zaretskii, V. K. Sirotkin, YaF, 39 (1984), 585; E. Kolomensky, V. M. Lobashev, A. V. Pirozhkov et. al., Phys. Lett. B, 107 (1981), 272 ; Yu. G. Abov, P. A. Krupchitssky, Yu. A. Oratovsky, Phys. Lett. B, 12 (1964), 25 ; В. М. Лобашев, В. П. Назаренко, П. Ф. Саенко и др., Письма в ЖЭТФ, 3 (1966), 268 | DOI | DOI

[2] V. P. Alfimenkov, UFN, 144 (1984), 361 ; Л. П. Горьков, И. Е. Дзялошинский, ЖЭТФ, 67 (1974), 397 | DOI

[3] S. M. Troshin, N. E. Tyurin, UFN, 164 (1994), 1073 ; С. М. Трошин, Н. Е. Тюрин, Спин в физике высоких энергий, Наука, М., 1991 | DOI

[4] G. V. Danilyan, UFN, 131 (1980), 329 | DOI

[5] L. D. Landau, E. M. Lifshits, Elektrodinamika sploshnykh sred, Nauka, M., 1982 | MR

[6] Yu. A. Kravtsov, Yu. I. Orlov, Geometricheskaya optika neodnorodnykh sred, Nauka, M., 1980 | MR

[7] A. Tomita, R. Y. Chiao, Phys. Rev. Lett., 57 (1986), 937 | DOI

[8] M. V. Berry, Proc. Roy. Soc. London. Ser. A, 392 (1984), 45 ; S. Pancharatnam, Proc. Indian Acad. Sci. Ser. A, 44 (1956), 247 | DOI | MR | Zbl | MR

[9] D. N. Klyshko, UFN, 163 (1993), 1 | DOI

[10] S. I. Vinitskii, V. L. Derbov, V. M. Dubovik i dr., UFN, 160:6 (1990), 1 | DOI | MR

[11] N. R. Sadykov, Opt. i spektr., 84:4 (1998), 589

[12] N. R. Sadykov, Kvantovaya elektronika, 23 (1996), 277

[13] N. R. Sadykov, Izvestiya vysshikh uchebnykh zavedenii. Fizika, 10 (1999), 58

[14] B. Ya. Zeldovich, V. S. Liberman, Kvantovaya elektronika, 17 (1990), 493

[15] A. V. Dugin, B. Ya. Zeldovich, N. D. Kundikova, V. S. Liberman, ZhETF, 100 (1991), 1474; A. V. Doogin, N. D. Kundikova, V. S. Liberman, B. Ya. Zeldovich, Phys. Rev. A, 45 (1992), 8204 | DOI

[16] A. V. Dugin, B. Ya. Zeldovich, N. D. Kundikova, V. S. Liberman, Pisma v ZhETF, 53 (1991), 186

[17] N. B. Baranova, B. Ya. Zeldovich, Pisma v ZhETF, 59 (1994), 648

[18] N. B. Baranova, A. Yu. Savchenko, B. Ya. Zeldovich, Pisma v ZhETF, 59 (1994), 216

[19] N. R. Sadykov, Kvantovaya elektronika, 20 (1993), 1137

[20] V. S. Liberman, B. Ya. Zeldovich, Phys. Rev. A, 46 (1992), 5199 | DOI | MR

[21] V. S. Liberman, B. Ya. Zeldovich, Pure and Appl. Optics., 2 (1993), 367 | DOI | MR

[22] V. S. Liberman, B. Ya. Zeldovich, Phys. Rev. E, 49 (1994), 2389 | DOI | MR

[23] N. R. Sadykov, Kvantovaya elektronika, 19 (1992), 1021

[24] N. R. Sadykov, Kvantovaya elektronika, 20 (1993), 1140

[25] N. R. Sadykov, Opt. i spektr., 78:2 (1995), 300

[26] A. Snaider, Dzh. Lav, Teoriya opticheskikh volnovodov, Radio i svyaz, M., 1987

[27] N. D. Kundikova, V. G. Nikolaev, N. R. Sadykov, M. O. Sadykova, Opt. i spektr., 96 (2004), 338

[28] B. A. Dubrovin, S. P. Novikov, A. T. Fomenko, Sovremennaya geometriya. Metody i prilozheniya, Nauka, M., 1986 | MR | Zbl

[29] N. R. Sadykov, Kvantovaya elektronika, 22 (1995), 628

[30] S. M. Rytov, DAN SSSR, 18 (1938), 263 | Zbl

[31] N. D. Kundikova, V. G. Nikolaev, N. R. Sadykov, M. O. Sadykova, Opt. i spektr., 94 (2003), 699

[32] N. R. Sadykov, Kvantovaya elektronika, 24 (1997), 190 ; Опт. атмосф. и океана, 11:3 (1998), 223 ; Опт. и спектр., 86 (1999), 307; 90 (2001), 812 | MR

[33] D. Anderson, Dzh. Tannekhil, R. Pletcher, Vychislitelnaya gidromekhanika i teploobmen, Mir, M., 1990 | MR | Zbl

[34] N. R. Sadykov, TMF, 135:2 (2003), 280 ; 139:3 (2004), 491 ; 144:3 (2005), 555 | DOI | DOI | DOI | MR | Zbl