[PDF]
http://dx.doi.org/10.3952/lithjphys.45207
Open access article / Atviros prieigos straipsnis
Lith. J. Phys. 45, 101–108 (2005)
FOUR-WAVE MIXING IN A LIQUID
SUSPENSION OF DIELECTRIC MICROSPHERES
A.A. Afanas’ev, A.N. Rubinov, S.Yu. Mikhnevich, and I.Ye.
Yermolayev
B.I. Stepanov Institute of Physics, National Academy of
Sciences of Belarus, F. Skaryna Ave. 68, 220072 Minsk,
Republic of Belarus
E-mail: lvp@dragon.bas-net.by
Received 28 April 2005
In this work a theory of the degenerate
four-photon parametric scattering (FPS) is developed in a liquid
suspension of transparent microspheres (heterogeneous medium), the
nonlinearity of which is caused by the change in the microsphere
concentration under the action of gradient forces in the
electromagnetic field of interacting waves. It is shown that the
water suspension of latex spheres with diameter d = 0.234
μm and concentration N0 = 6.5·1010
cm−3, in effect of the FPS process, corresponds to a
cubic nonlinear medium with the optical Kerr coefficient n2
that is larger by a factor of 105 than in the case of
CS2.
Keywords: gradient forces, four-wave mixing, nonlinear
medium, transparent dielectric microspheres
PACS: 42.65.-k
KETURBANGIS MAIŠYMAS SKYSTOJE
DIELEKTRINIŲ MIKROSFERŲ SUSPENSIJOJE
A.A. Afanas’ev, A.N. Rubinov, S.Yu. Mikhnevich, I.Ye.
Yermolayev
Fizikos institutas, Minskas, Baltarusija
Pateikta teorija, aprašanti išsigimusią
keturfotonę parametrinę sklaidą (KPS) skystoje skaidrių mikrosferų
suspensijoje (įvairialytėje medžiagoje), kurios netiesiškumą
nulemia mikrosferų koncentracijos pokytis, susidaręs veikiant
gradientinėms jėgoms sąveikaujančių bangų elektromagnetiniuose
laukuose. Parodyta, kad latekso sferų, kurių diametras d =
0, 234 μm ir koncentracija N0 = 6,5·1010
cm−3, vandens suspensijoje vykstančios KPS efektyvumas
atitinka kubinę netiesinę terpę, kurios optinis Kero koeficientas
n2 daugiau kaip 105 kartų didesnis už
atitinkamą CS2 koeficientą.
References / Nuorodos
[1] P.W. Smith, A. Ashkin, and W.J. Tomlinson, Four-wave mixing in
an artificial Kerr medium, Opt. Lett. 6(6), 284–286, (1981),
http://dx.doi.org/10.1364/OL.6.000284
[2] A.J. Palmer, Nonlinear optics in aerosols, Opt. Lett. 5,
54–56, (1980),
http://dx.doi.org/10.1364/OL.5.000054
[3] Ya. Yariv, Kvantovaya Elektronika (Moscow, Sovetskoe
Radio, 1980), 488 p. [in Russian]
[4] D. Rogovin and O. Sari, Phase conjugation in liquid suspensions
of microspheres in the diffusive limit, Phys. Rev. A 31(4),
2375–2389, (1985),
http://dx.doi.org/10.1103/PhysRevA.31.2375
[5] G. van de Hulst, Scattering of the Light by Small Particles
(Moscow, 1961), 536 p. [in Russian]
[6] P. Zemánek, A. Jonáš, and M. Liška, Simplified description of
optical forces acting on a nanoparticle in the Gaussian standing
wave, J. Opt. Soc. Am. A 19(5), 1025–1034, (2002),
http://dx.doi.org/10.1364/JOSAA.19.001025
[7] S.A. Akhmanov and S.Yu. Nikitin, Physical Optics
(Moscow, 1998), 656 p. [in Russian],
http://dx.doi.org/10.1093/oso/9780198517955.001.0001
[8] Rohrbach and E.H.K. Stelzer, Optical trapping of dielectric
particles in arbitrary fields, J. Opt. Soc. Am. A 18(4),
839–853, (2001),
http://dx.doi.org/10.1364/JOSAA.18.000839
[9] A.A. Afanas'ev, A.N. Rubinov, Yu.A. Kurochkin, S.Yu. Mikhnevich,
and I.E. Ermolaev, Localisation of spherical particles under the
action of a gradient force in an interference field of laser
radiation, Quantum Electron. 33(3), 250–254 (2003),
http://dx.doi.org/10.1070/QE2003v033n03ABEH002395
[10] G. Korn and T. Korn, Reference Book on Mathematics
(Moscow, 1973), 831 p. [in Russian]
[11] A.I. Akhiezer and S.V. Peletminskii, Methods of Statistical
Physics (Moscow, 1977), 368 p. [in Russian]
[12] L.D. Landau and E.M. Livshits, Electrodyndmics of
Continuous Media (Moscow, 1982), 620 p. [in Russian]
[13] B.Ya. Zel'dovich, N.F. Pilipetskii, and V.V. Shkunov, Conversion
of Wave Front (Moscow, 1985), 247 p. [in Russian]
[14] B.Ya. Zel'dovich and T.V. Yakovleva, Influence of linear
absorption and reflection on the characteristics of the four-wave
mixing of reflected waves, Kvant. Elektron. (Moscow) 8(9),
1891–1898 (1981) [in Russian],
http://dx.doi.org/10.1070/QE1981v011n09ABEH008211