Abstract

We analytically calculate the time-averaged electromagnetic energy stored inside a nondispersive magnetic isotropic cylinder that is obliquely irradiated by an electromagnetic plane wave. An expression for the optical-absorption efficiency in terms of the magnetic internal coefficients is also obtained. In the low absorption limit, we derive a relation between the normalized internal energy and the optical-absorption efficiency that is not affected by the magnetism and the incidence angle. This relation, indeed, seems to be independent of the shape of the scatterer. This universal aspect of the internal energy is connected to the transport velocity and consequently to the diffusion coefficient in the multiple scattering regime. Magnetism favors high internal energy for low size parameter cylinders, which leads to a low diffusion coefficient for electromagnetic propagation in 2D random media.

© 2010 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. Z. F. Lin and S. T. Chui, “Manipulating electromagnetic radiation with magnetic photonic crystals,” Opt. Lett. 32, 2288–2290 (2007).
    [CrossRef]
  4. S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
    [CrossRef]
  5. Z. F. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particles,” Phys. Rev. E 69, 056614 (2004).
    [CrossRef]
  6. R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2010 (1)

2008 (1)

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

2007 (2)

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Z. F. Lin and S. T. Chui, “Manipulating electromagnetic radiation with magnetic photonic crystals,” Opt. Lett. 32, 2288–2290 (2007).
[CrossRef]

2004 (3)

Z. F. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particles,” Phys. Rev. E 69, 056614 (2004).
[CrossRef]

R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
[CrossRef]

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Elsevier, 2004).

2001 (2)

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Electromagnetic scattering by small magnetic particles,” J. Magn. Magn. Mater. 226–230, 1951–1953 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Multiple scattering of electromagnetic waves in disordered magnetic media: localization parameter, energy transport velocity and diffusion constant,” Braz. J. Phys. 31, 65–70 (2001).
[CrossRef]

2000 (3)

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “New effects in light scattering in disordered media and coherent backscattering cone: system of magnetic particles,” Phys. Rev. Lett. 84, 1435–1438 (2000).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Vanishing of energy transport and diffusion constant of electromagnetic waves in disordered magnetic media,” Phys. Rev. Lett. 85, 5563–5566 (2000).
[CrossRef]

M. I. Mishchenko and A. A. Lacis, “Manifestations of morphology-dependent resonances in Mie scattering matrices,” Appl. Math. Comput. 116, 167–179 (2000).
[CrossRef]

1998 (1)

1997 (1)

M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997).
[CrossRef]

1995 (1)

K. Busch, C. M. Soukoulis, and E. N. Economou, “Transport velocity in two-dimensional random media,” Phys. Rev. B 52, 10834–10840 (1995).
[CrossRef]

1992 (1)

B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992).
[CrossRef]

1990 (1)

P. W. Barber, Light Scattering by Particles: Computational Methods (World Scientific, 1990).

1987 (1)

1985 (1)

1983 (2)

M. Kerker, D. S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. Soc. Am. 73, 765–767 (1983).
[CrossRef]

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

1981 (1)

1980 (1)

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1980).

1969 (1)

M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic, 1969).

1966 (1)

A. C. Lind and J. M. Greenberg, “Electromagnetic scattering by obliquely oriented cylinders,” J. Appl. Phys. 37, 3195–3203 (1966).
[CrossRef]

1958 (1)

G. N. Watson, A Treatise on the Theory of Bessel Functions (Univ. Cambridge Press, 1958).

1955 (1)

J. R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence,” Can. J. Phys. 33, 189–195 (1955).

1941 (1)

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).

1918 (1)

Lord Rayleigh, “The dispersal of light by a dielectric cylinder,” Philos. Mag. 36, 365–376 (1918).

Arruda, T. J.

Barber, P. W.

Bennemann, K.-H.

R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
[CrossRef]

Biswas, R.

M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997).
[CrossRef]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Bott, A.

Busch, K.

K. Busch, C. M. Soukoulis, and E. N. Economou, “Transport velocity in two-dimensional random media,” Phys. Rev. B 52, 10834–10840 (1995).
[CrossRef]

Chang, R. K.

Chen, P.

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Chui, S. T.

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

Z. F. Lin and S. T. Chui, “Manipulating electromagnetic radiation with magnetic photonic crystals,” Opt. Lett. 32, 2288–2290 (2007).
[CrossRef]

Z. F. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particles,” Phys. Rev. E 69, 056614 (2004).
[CrossRef]

Chylek, P.

Du, J.

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

Economou, E. N.

K. Busch, C. M. Soukoulis, and E. N. Economou, “Transport velocity in two-dimensional random media,” Phys. Rev. B 52, 10834–10840 (1995).
[CrossRef]

Giles, C. L.

Greenberg, J. M.

A. C. Lind and J. M. Greenberg, “Electromagnetic scattering by obliquely oriented cylinders,” J. Appl. Phys. 37, 3195–3203 (1966).
[CrossRef]

Ho, K. M.

M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997).
[CrossRef]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

Ji, X. Y.

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Jiang, A. M.

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Joyes, P.

R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
[CrossRef]

Kerker, M.

Lacis, A. A.

M. I. Mishchenko and A. A. Lacis, “Manifestations of morphology-dependent resonances in Mie scattering matrices,” Appl. Math. Comput. 116, 167–179 (2000).
[CrossRef]

Lagendijk, A.

B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992).
[CrossRef]

Landau, L. D.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Elsevier, 2004).

Lifshitz, E. M.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Elsevier, 2004).

Lin, Z.

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

Lin, Z. F.

Z. F. Lin and S. T. Chui, “Manipulating electromagnetic radiation with magnetic photonic crystals,” Opt. Lett. 32, 2288–2290 (2007).
[CrossRef]

Z. F. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particles,” Phys. Rev. E 69, 056614 (2004).
[CrossRef]

Lind, A. C.

A. C. Lind and J. M. Greenberg, “Electromagnetic scattering by obliquely oriented cylinders,” J. Appl. Phys. 37, 3195–3203 (1966).
[CrossRef]

Liu, S.

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

Martinez, A. S.

T. J. Arruda and A. S. Martinez, “Electromagnetic energy within magnetic spheres,” J. Opt. Soc. Am. A 27, 992–1001 (2010).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Multiple scattering of electromagnetic waves in disordered magnetic media: localization parameter, energy transport velocity and diffusion constant,” Braz. J. Phys. 31, 65–70 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Electromagnetic scattering by small magnetic particles,” J. Magn. Magn. Mater. 226–230, 1951–1953 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Vanishing of energy transport and diffusion constant of electromagnetic waves in disordered magnetic media,” Phys. Rev. Lett. 85, 5563–5566 (2000).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “New effects in light scattering in disordered media and coherent backscattering cone: system of magnetic particles,” Phys. Rev. Lett. 84, 1435–1438 (2000).
[CrossRef]

Mishchenko, M. I.

M. I. Mishchenko and A. A. Lacis, “Manifestations of morphology-dependent resonances in Mie scattering matrices,” Appl. Math. Comput. 116, 167–179 (2000).
[CrossRef]

Owen, J. F.

Pendleton, J. D.

Pinheiro, F. A.

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Electromagnetic scattering by small magnetic particles,” J. Magn. Magn. Mater. 226–230, 1951–1953 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Multiple scattering of electromagnetic waves in disordered magnetic media: localization parameter, energy transport velocity and diffusion constant,” Braz. J. Phys. 31, 65–70 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “New effects in light scattering in disordered media and coherent backscattering cone: system of magnetic particles,” Phys. Rev. Lett. 84, 1435–1438 (2000).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Vanishing of energy transport and diffusion constant of electromagnetic waves in disordered magnetic media,” Phys. Rev. Lett. 85, 5563–5566 (2000).
[CrossRef]

Pinnick, R. G.

Pitaevskii, L. P.

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Elsevier, 2004).

Rayleigh, Lord

Lord Rayleigh, “The dispersal of light by a dielectric cylinder,” Philos. Mag. 36, 365–376 (1918).

Ruppin, R.

Sampaio, L. C.

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Electromagnetic scattering by small magnetic particles,” J. Magn. Magn. Mater. 226–230, 1951–1953 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Multiple scattering of electromagnetic waves in disordered magnetic media: localization parameter, energy transport velocity and diffusion constant,” Braz. J. Phys. 31, 65–70 (2001).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “New effects in light scattering in disordered media and coherent backscattering cone: system of magnetic particles,” Phys. Rev. Lett. 84, 1435–1438 (2000).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Vanishing of energy transport and diffusion constant of electromagnetic waves in disordered magnetic media,” Phys. Rev. Lett. 85, 5563–5566 (2000).
[CrossRef]

Sigalas, M. M.

M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997).
[CrossRef]

Soukoulis, C. M.

M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997).
[CrossRef]

K. Busch, C. M. Soukoulis, and E. N. Economou, “Transport velocity in two-dimensional random media,” Phys. Rev. B 52, 10834–10840 (1995).
[CrossRef]

Stratton, J. A.

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).

Tarento, R.-J.

R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
[CrossRef]

Tip, A.

B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992).
[CrossRef]

van Albada, M. P.

B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992).
[CrossRef]

van de Hulst, H. C.

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1980).

Van de Walle, J.

R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
[CrossRef]

van Tiggelen, B. A.

B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992).
[CrossRef]

Wait, J. R.

J. R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence,” Can. J. Phys. 33, 189–195 (1955).

Wang, D. S.

Watson, G. N.

G. N. Watson, A Treatise on the Theory of Bessel Functions (Univ. Cambridge Press, 1958).

Wu, R. X.

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Xu, J.

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Zdunkowski, W.

Appl. Math. Comput. (1)

M. I. Mishchenko and A. A. Lacis, “Manifestations of morphology-dependent resonances in Mie scattering matrices,” Appl. Math. Comput. 116, 167–179 (2000).
[CrossRef]

Appl. Opt. (1)

Braz. J. Phys. (1)

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Multiple scattering of electromagnetic waves in disordered magnetic media: localization parameter, energy transport velocity and diffusion constant,” Braz. J. Phys. 31, 65–70 (2001).
[CrossRef]

Can. J. Phys. (1)

J. R. Wait, “Scattering of a plane wave from a circular dielectric cylinder at oblique incidence,” Can. J. Phys. 33, 189–195 (1955).

J. Appl. Phys. (1)

A. C. Lind and J. M. Greenberg, “Electromagnetic scattering by obliquely oriented cylinders,” J. Appl. Phys. 37, 3195–3203 (1966).
[CrossRef]

J. Magn. Magn. Mater. (1)

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Electromagnetic scattering by small magnetic particles,” J. Magn. Magn. Mater. 226–230, 1951–1953 (2001).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (3)

J. Phys.: Condens. Matter (1)

P. Chen, R. X. Wu, J. Xu, A. M. Jiang, and X. Y. Ji, “Effects of magnetic anisotropy on the stop band of ferromagnetic electromagnetic band gap materials,” J. Phys.: Condens. Matter 19, 106205 (2007).
[CrossRef]

Opt. Lett. (2)

Philos. Mag. (1)

Lord Rayleigh, “The dispersal of light by a dielectric cylinder,” Philos. Mag. 36, 365–376 (1918).

Phys. Rev. B (4)

K. Busch, C. M. Soukoulis, and E. N. Economou, “Transport velocity in two-dimensional random media,” Phys. Rev. B 52, 10834–10840 (1995).
[CrossRef]

M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, “Effect of the magnetic permeability on photonic band gaps,” Phys. Rev. B 56, 959–962 (1997).
[CrossRef]

S. Liu, J. Du, Z. Lin, R. X. Wu, and S. T. Chui, “Formation of robust and completely tunable resonant photonic band gaps,” Phys. Rev. B 78, 155101 (2008).
[CrossRef]

B. A. van Tiggelen, A. Lagendijk, M. P. van Albada, and A. Tip, “Speed of light in random media,” Phys. Rev. B 45, 12233–12243 (1992).
[CrossRef]

Phys. Rev. E (2)

Z. F. Lin and S. T. Chui, “Electromagnetic scattering by optically anisotropic magnetic particles,” Phys. Rev. E 69, 056614 (2004).
[CrossRef]

R.-J. Tarento, K.-H. Bennemann, P. Joyes, and J. Van de Walle, “Mie scattering of magnetic spheres,” Phys. Rev. E 69, 026606 (2004).
[CrossRef]

Phys. Rev. Lett. (2)

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “Vanishing of energy transport and diffusion constant of electromagnetic waves in disordered magnetic media,” Phys. Rev. Lett. 85, 5563–5566 (2000).
[CrossRef]

F. A. Pinheiro, A. S. Martinez, and L. C. Sampaio, “New effects in light scattering in disordered media and coherent backscattering cone: system of magnetic particles,” Phys. Rev. Lett. 84, 1435–1438 (2000).
[CrossRef]

Other (7)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).

P. W. Barber, Light Scattering by Particles: Computational Methods (World Scientific, 1990).

H. C. van de Hulst, Light Scattering by Small Particles (Dover, 1980).

M. Kerker, The Scattering of Light and other Electromagnetic Radiation (Academic, 1969).

L. D. Landau, E. M. Lifshitz, and L. P. Pitaevskii, Electrodynamics of Continuous Media (Elsevier, 2004).

G. N. Watson, A Treatise on the Theory of Bessel Functions (Univ. Cambridge Press, 1958).

J. A. Stratton, Electromagnetic Theory (McGraw-Hill, 1941).

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