Abstract

Circularly polarized light exerts torque on birefringent objects. In the case of axially symmetric particles, however, the moment of radiation force balances the direct optical torque. This explains the observation that radial liquid-crystal droplets, in contrast to planar droplets, do not spin in circularly polarized light. The conclusion is in agreement with considerations based on the angular momentum conservation of light [Phys. Rev. Lett. 96, 163905 (2006) ].

© 2008 Optical Society of America

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  1. J. D. Jackson, Classical Electrodynamics (Wiley, 1999).
  2. R. A. Beth, Phys. Rev. 50, 115 (1936).
    [CrossRef]
  3. S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
    [CrossRef]
  4. S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
    [CrossRef]
  5. C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
    [CrossRef]
  6. E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
    [CrossRef] [PubMed]
  7. E. Santamato and Y. R. Shen, J. Opt. Soc. Am. A 4, 356 (1987).
    [CrossRef]
  8. L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
    [CrossRef] [PubMed]
  9. J. P. Gordon, Phys. Rev. A 8, 14 (1973).
    [CrossRef]
  10. L. Landau and E. Lifschitz, Electrodynamics of Continuous Media (Pergamon, 1984).
  11. N. Murazawa, S. Juodkazis, and H. Misawa, J. Phys. D 38, 2923 (2005).
    [CrossRef]
  12. E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
    [CrossRef]
  13. S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, 1992), pp. 88-98.
  14. I. Jánossy, J. Nonlinear Opt. Phys. Mater. 8, 361 (1999).
    [CrossRef]
  15. M. Kreuzer, L. Marrucci, and D. Paparo, J. Nonlinear Opt. Phys. Mater. 9, 157 (2000).
  16. C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

2008 (1)

E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
[CrossRef]

2006 (3)

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
[CrossRef]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

2005 (1)

N. Murazawa, S. Juodkazis, and H. Misawa, J. Phys. D 38, 2923 (2005).
[CrossRef]

2003 (1)

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

2000 (1)

M. Kreuzer, L. Marrucci, and D. Paparo, J. Nonlinear Opt. Phys. Mater. 9, 157 (2000).

1999 (2)

I. Jánossy, J. Nonlinear Opt. Phys. Mater. 8, 361 (1999).
[CrossRef]

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

1987 (1)

1986 (1)

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

1973 (1)

J. P. Gordon, Phys. Rev. A 8, 14 (1973).
[CrossRef]

1936 (1)

R. A. Beth, Phys. Rev. 50, 115 (1936).
[CrossRef]

Beth, R. A.

R. A. Beth, Phys. Rev. 50, 115 (1936).
[CrossRef]

Brasselet, E.

E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
[CrossRef]

Chandrasekhar, S.

S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, 1992), pp. 88-98.

Danio, B.

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

Gordon, J. P.

J. P. Gordon, Phys. Rev. A 8, 14 (1973).
[CrossRef]

Hasegawa, I.

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics (Wiley, 1999).

Jánossy, I.

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
[CrossRef]

I. Jánossy, J. Nonlinear Opt. Phys. Mater. 8, 361 (1999).
[CrossRef]

Juodkazis, S.

E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
[CrossRef]

N. Murazawa, S. Juodkazis, and H. Misawa, J. Phys. D 38, 2923 (2005).
[CrossRef]

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

Kreuzer, M.

M. Kreuzer, L. Marrucci, and D. Paparo, J. Nonlinear Opt. Phys. Mater. 9, 157 (2000).

Landau, L.

L. Landau and E. Lifschitz, Electrodynamics of Continuous Media (Pergamon, 1984).

Lifschitz, E.

L. Landau and E. Lifschitz, Electrodynamics of Continuous Media (Pergamon, 1984).

Manzo, C.

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
[CrossRef]

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

Marrucci, L.

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
[CrossRef]

M. Kreuzer, L. Marrucci, and D. Paparo, J. Nonlinear Opt. Phys. Mater. 9, 157 (2000).

Matsuo, S.

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

Misawa, H.

E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
[CrossRef]

N. Murazawa, S. Juodkazis, and H. Misawa, J. Phys. D 38, 2923 (2005).
[CrossRef]

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

Murazawa, N.

E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
[CrossRef]

N. Murazawa, S. Juodkazis, and H. Misawa, J. Phys. D 38, 2923 (2005).
[CrossRef]

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

Paparo, D.

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
[CrossRef]

M. Kreuzer, L. Marrucci, and D. Paparo, J. Nonlinear Opt. Phys. Mater. 9, 157 (2000).

Romagnoli, M.

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

Santamato, E.

E. Santamato and Y. R. Shen, J. Opt. Soc. Am. A 4, 356 (1987).
[CrossRef]

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

Settembre, M.

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

Shen, Y. R.

E. Santamato and Y. R. Shen, J. Opt. Soc. Am. A 4, 356 (1987).
[CrossRef]

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

Shikata, M.

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

Takahashi, T.

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

Appl. Phys. Lett. (1)

S. Juodkazis, S. Matsuo, N. Murazawa, I. Hasegawa, and H. Misawa, Appl. Phys. Lett. 82, 4657 (2003).
[CrossRef]

J. Nonlinear Opt. Phys. Mater. (2)

I. Jánossy, J. Nonlinear Opt. Phys. Mater. 8, 361 (1999).
[CrossRef]

M. Kreuzer, L. Marrucci, and D. Paparo, J. Nonlinear Opt. Phys. Mater. 9, 157 (2000).

J. Opt. Soc. Am. A (1)

J. Phys. D (1)

N. Murazawa, S. Juodkazis, and H. Misawa, J. Phys. D 38, 2923 (2005).
[CrossRef]

Jpn. J. Appl. Phys. Part 2 (1)

S. Juodkazis, M. Shikata, T. Takahashi, S. Matsuo, and H. Misawa, Jpn. J. Appl. Phys. Part 2 38, L518 (1999).
[CrossRef]

Mol. Cryst. Liq. Cryst. (1)

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Mol. Cryst. Liq. Cryst. 454, 101 (2006).

Phys. Rev. (1)

R. A. Beth, Phys. Rev. 50, 115 (1936).
[CrossRef]

Phys. Rev. A (1)

J. P. Gordon, Phys. Rev. A 8, 14 (1973).
[CrossRef]

Phys. Rev. E (2)

E. Brasselet, N. Murazawa, S. Juodkazis, and H. Misawa, Phys. Rev. E 77, 041704 (2008).
[CrossRef]

C. Manzo, D. Paparo, L. Marrucci, and I. Jánossy, Phys. Rev. E 73, 051707 (2006).
[CrossRef]

Phys. Rev. Lett. (2)

E. Santamato, B. Danio, M. Romagnoli, M. Settembre, and Y. R. Shen, Phys. Rev. Lett. 57, 2423 (1986).
[CrossRef] [PubMed]

L. Marrucci, C. Manzo, and D. Paparo, Phys. Rev. Lett. 96, 163905 (2006).
[CrossRef] [PubMed]

Other (3)

S. Chandrasekhar, Liquid Crystals, 2nd ed. (Cambridge U. Press, 1992), pp. 88-98.

L. Landau and E. Lifschitz, Electrodynamics of Continuous Media (Pergamon, 1984).

J. D. Jackson, Classical Electrodynamics (Wiley, 1999).

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Equations (11)

Equations on this page are rendered with MathJax. Learn more.

Γ = P × E = ε 0 ( ε ε ) ( n E ) ( n × E )
Γ z = 1 2 ε 0 ( ε ε ) E E cos Δ φ .
M z = A 0 d Γ z d z = A 2 ε 0 ( ε ε ) E E 0 d cos [ k 0 ( n e n o ) z + Δ φ 0 ] d z = A ε 0 n e + n o 2 k 0 E E [ sin Δ φ ( d ) sin Δ φ 0 ] .
f = f ( E ) + f ( B ) with f ( E ) = ( P ) E , f ( B ) = P ̇ c × B ,
f ψ ( E ) = 1 ρ P ψ ( E ρ + E ψ ψ ) + P ρ E ψ ρ + P z E ψ z ,
f ψ ( B ) = P ̇ ρ ( E ̂ ψ ρ + E ̂ ψ ρ 1 ρ E ̂ ρ ψ ) + P ̇ z ( E ̂ ψ z 1 ρ E ̂ z ψ ) .
f ψ = 1 ρ P ψ E ρ P ρ E ψ + 1 ρ P ρ E ρ ψ + P ψ E ψ ψ + P z E z ψ .
P ρ E ρ ψ + P ψ E ψ ψ + P z E z ψ = 0 .
m z = ρ f ψ = P ψ E ρ P ρ E ψ = Γ z .
f E M = Div T + 1 c t E × B ,
f E M f = grad ( ρ m F e m ρ m 1 2 E P ) .

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