Abstract

Radiative corrections to the polarizability tensor of isotropic particles are fundamental to understand the energy balance between absorption and scattering processes. Equivalent radiative corrections for anisotropic particles are not well known. Assuming that the polarization within the particle is uniform, we derived a closed-form expression for the polarizability tensor which includes radiative corrections. In the absence of absorption, this expression of the polarizability tensor is consistent with the optical theorem. An analogous result for infinitely long cylinders was also derived. Magneto optical Kerr effects in non-absorbing nanoparticles with magneto-optical activity arise as a consequence of radiative corrections to the electrostatic polarizability tensor.

© 2010 Optical Society of America

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2009 (3)

M. Spuch-Calvar, L. Rodriguez-Lorenzo, M. P. Morales, R. A. Alvarez-Puebla, L. M. Liz-Marzan, "Bifunctional nanocomposites with long-term stability, as SERS optical accumulators for ultrasensitive analysis," J. Phys. Chem. C 113, 3373-3377 (2009).
[CrossRef]

S. Albaladejo, M. I. Marqués, M. Laroche and J. J. Sáenz "Scattering Forces from the Curl of the Spin Angular Momentum of a Light Field," Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef] [PubMed]

S. Albaladejo, M. I. Marqués, F. Scheffold and J. J. Sáenz, " Giant enhanced diffusion of gold nanoparticles in optical vortex fields," Nano Lett. 9, 3527-3531 (2009).
[CrossRef] [PubMed]

2008 (6)

V. E. Ferry, L. A. Sweatlock, D. Pacifici, and H. A. Atwater, "Plasmonic Nanostructure Design for Efficient Light Coupling into Solar Cells," Nano Lett. 8, 4391-4397 (2008).
[CrossRef]

M. J. Dicken, L. A. Sweatlock, D. Pacifici, H. J. Lezec, K. Bhattacharya, and H. A. Atwater, "Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers," Nano Lett. 8, 4048-4052 (2008).
[CrossRef] [PubMed]

E. Moreno, S. G. Rodrigo, S. I. Bozhevolnyi, L. Martin-Moreno, and F. J. García-Vidal, "Guiding and focusing of electromagnetic fields with wedge plasmon polaritons," Phys. Rev. Lett. 100, 023901 (2008).
[CrossRef] [PubMed]

J. B. González-Diáz, J. M. García-Martin, A. Cebollada, G. Armelles, B. Sepulveda, Y. Alaverdyan, and M. Kall, "Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity," Small 4, 202-205 (2008).
[CrossRef] [PubMed]

M. Osada, M. Itose, Y. Ebina, K. Ono, S. Ueda, K. Kobayashi, and T. Sasaki, "Gigantic magneto-optical effects induced by Fe/Co-cosubstitution in titania nanosheets," Appl. Phys. Lett. 92, 253110 (2008).
[CrossRef]

G. Armelles, J. B. González-Diáz, A. García-Martin, J. M. García-Martin, A. Cebollada, M. U. Gonzalez, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, "Localized surface plasmon resonance effects on the magnetooptical activity of continuous Au/Co/Au trilayers," Opt. Express 16, 16104-16112 (2008).
[CrossRef] [PubMed]

2007 (7)

M. Laroche, S. Albaladejo, R. Carminati and J. J. Sáenz, "Optical resonances in dielectric nanorod arrays: Field induced fluorescence enhancement," Opt. Lett. 32, 2762-2764 (2007).
[CrossRef] [PubMed]

M. Sandtke and L. Kuipers, "Slow guided surface plasmons at telecom frequencies," Nature Photon. 1, 573-576 (2007).
[CrossRef]

J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
[CrossRef]

L. S. Froufe-Pérez, R. Carminati and J. J. Sáenz, "Fluorescence decay rate statistics of a single molecule in a disordered cluster of nanoparticles," Phys. Rev. A 76, 013835 (2007).
[CrossRef]

J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
[CrossRef]

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, "Parallel and selective trapping in a patterned plasmonic landscape," Nature Phys. 3, 477-480 (2007).
[CrossRef]

2006 (4)

R. Carminati, J. J. Greffet, C. Henkel and J. M. Vigoureux, "Radiative and non-radiative decay of a single molecule close to a metallic nanoparticle," Opt. Commun. 261, 368-375 (2006).
[CrossRef]

M. Laroche, S. Albaladejo, R. Gómez-Medina, and J. J. Sáenz, "Tuning the optical response of nanocylinder arrays: An analytical study, " Phys. Rev. B 74, 245422 (2006).
[CrossRef]

R. Gómez-Medina, M. Laroche, and J. J. Sáenz, "Extraordinary optical reflection from sub-wavelength cylinder arrays," Opt. Express 14, 3730-3737 (2006).
[CrossRef] [PubMed]

D. A. Smith and K. L. Stokes "Discrete dipole approximation for magnetooptical scattering calculations," Opt. Express 14, 5746-5754 (2006).
[CrossRef] [PubMed]

2005 (1)

D. M. Schaadt, B. Feng, and E. T. Yu, "Enhanced semiconductor optical absorption via surface plasmon excitation in metal nanoparticles," Appl. Phys. Lett. 86, 063106 (2005).
[CrossRef]

2004 (3)

R. Gómez-Medina and J. J. Sáenz "Unusually strong optical interactions between particles in quasi-onedimensional geometries," Phys. Rev. Lett. 93, 243602 (2004).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, "Surface plasmon polariton based modulators and switches operating at telecom wavelengths," Appl. Phys. Lett. 85, 5833-5835 (2004).
[CrossRef]

J. Gómez Rivas, M. Kuttge, P. Haring Bolivar, H. Kurz, and J. A. Sánchez-Gil, "Propagation of Surface Plasmon Polaritons on Semiconductor Gratings," Phys. Rev. Lett. 93, 256804 (2004).
[CrossRef]

2003 (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

2000 (1)

P. C. Chaumet and M. Nieto-Vesperinas, "Coupled dipole method determination of the electromagnetic force on a particle over a flat dielectric substrate, " Phys. Rev. B 61, 14119-14127 (2000).
[CrossRef]

1994 (2)

1993 (3)

A. Lakhtakia, "On the polarizability dyadics of electrically small, convex objects," Int. J. Infrared Millim.Waves 14, 2269-2275 (1993).
[CrossRef]

B. Shanker and A. Lakhtakia, "Extended Maxwell Garnett Formalism for Composite Adhesives for Microwave-Assisted Adhesion of Polymer Surfaces," J. Composite Mater. 27, 1203-1213 (1993).
[CrossRef]

B. T. Draine and J. Goodman, "Beyond Clausius-Mossotti: Wave propagation on a polarizable point lattice and the discrete dipole approximation," Astrophys. J. 405, 685-697 (1993).
[CrossRef]

1992 (3)

A. Lakhtakia, " General theory of the Purcell-Pennypacker scattering approach and its extension to bianisotropic scatterers," Astrophys. J. 394, 494-499 (1992).
[CrossRef]

A. Lakhtakia, "Strong and weak forms of the method of moments and the coupled dipole method for scattering of time-harmonic electromagnetic fields," Int. J. of Mod. Phys. C 3, 583-603 (1992); corrections: ibid4, 721-722 (1993).
[CrossRef]

K. Hinsen, A. Bratz and B. U. Felderhof, "Anisotropic dielectric tensor and the Hall effect in a suspension of spheres," Phys. Rev. B. 23, 14995-15003 (1992).
[CrossRef]

1989 (1)

V. V. Varadan, A. Lakhtakia and V. K. Varadan, "Scattering by three-dimensional anisotropic scatterers," IEEE Trans. Antennas Propag. 37, 800-802 (1989).
[CrossRef]

1988 (1)

B. T. Draine, "The discrete dipole approximation and its application to interstellar graphite grains," Astrophys. J. 333, 848-872 (1988).
[CrossRef]

1980 (1)

A. D. Yaghjian, "Electric dyadic Green’s functions in the source region," Proc. IEEE 68, 248-263 (1980).
[CrossRef]

1973 (2)

E. M. Purcell and C. R. Pennypacker, "Scattering and Absorption of Light by Nonspherical Dielectric Grains," Astrophys. J. 186, 705-714 (1973).
[CrossRef]

D. Bedeaux and P. Mazur, "On the critical behaviour of the dielectric constant for a nonpolar fluid," Physica 67, 23-54 (1973).
[CrossRef]

1961 (1)

J. van Bladel, "Some remarks on Green’s dyadic for infinite space," IRE Trans. Ant. Propag. 9, 563-566 (1961).
[CrossRef]

Acimovic, S.

Akin, D.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Alaverdyan, Y.

J. B. González-Diáz, J. M. García-Martin, A. Cebollada, G. Armelles, B. Sepulveda, Y. Alaverdyan, and M. Kall, "Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity," Small 4, 202-205 (2008).
[CrossRef] [PubMed]

Albaladejo, S.

S. Albaladejo, M. I. Marqués, F. Scheffold and J. J. Sáenz, " Giant enhanced diffusion of gold nanoparticles in optical vortex fields," Nano Lett. 9, 3527-3531 (2009).
[CrossRef] [PubMed]

S. Albaladejo, M. I. Marqués, M. Laroche and J. J. Sáenz "Scattering Forces from the Curl of the Spin Angular Momentum of a Light Field," Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef] [PubMed]

M. Laroche, S. Albaladejo, R. Carminati and J. J. Sáenz, "Optical resonances in dielectric nanorod arrays: Field induced fluorescence enhancement," Opt. Lett. 32, 2762-2764 (2007).
[CrossRef] [PubMed]

M. Laroche, S. Albaladejo, R. Gómez-Medina, and J. J. Sáenz, "Tuning the optical response of nanocylinder arrays: An analytical study, " Phys. Rev. B 74, 245422 (2006).
[CrossRef]

Alvarez-Puebla, R. A.

M. Spuch-Calvar, L. Rodriguez-Lorenzo, M. P. Morales, R. A. Alvarez-Puebla, L. M. Liz-Marzan, "Bifunctional nanocomposites with long-term stability, as SERS optical accumulators for ultrasensitive analysis," J. Phys. Chem. C 113, 3373-3377 (2009).
[CrossRef]

Armelles, G.

J. B. González-Diáz, J. M. García-Martin, A. Cebollada, G. Armelles, B. Sepulveda, Y. Alaverdyan, and M. Kall, "Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity," Small 4, 202-205 (2008).
[CrossRef] [PubMed]

G. Armelles, J. B. González-Diáz, A. García-Martin, J. M. García-Martin, A. Cebollada, M. U. Gonzalez, S. Acimovic, J. Cesario, R. Quidant, and G. Badenes, "Localized surface plasmon resonance effects on the magnetooptical activity of continuous Au/Co/Au trilayers," Opt. Express 16, 16104-16112 (2008).
[CrossRef] [PubMed]

J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
[CrossRef]

J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
[CrossRef]

Atwater, H. A.

M. J. Dicken, L. A. Sweatlock, D. Pacifici, H. J. Lezec, K. Bhattacharya, and H. A. Atwater, "Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers," Nano Lett. 8, 4048-4052 (2008).
[CrossRef] [PubMed]

V. E. Ferry, L. A. Sweatlock, D. Pacifici, and H. A. Atwater, "Plasmonic Nanostructure Design for Efficient Light Coupling into Solar Cells," Nano Lett. 8, 4391-4397 (2008).
[CrossRef]

Badenes, G.

Badve, S.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Bardhan, R.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Barnes, W. L.

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J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
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M. J. Dicken, L. A. Sweatlock, D. Pacifici, H. J. Lezec, K. Bhattacharya, and H. A. Atwater, "Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers," Nano Lett. 8, 4048-4052 (2008).
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L. S. Froufe-Pérez, R. Carminati and J. J. Sáenz, "Fluorescence decay rate statistics of a single molecule in a disordered cluster of nanoparticles," Phys. Rev. A 76, 013835 (2007).
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J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
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J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
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J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
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M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
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J. Gómez Rivas, M. Kuttge, P. Haring Bolivar, H. Kurz, and J. A. Sánchez-Gil, "Propagation of Surface Plasmon Polaritons on Semiconductor Gratings," Phys. Rev. Lett. 93, 256804 (2004).
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J. B. González-Diáz, J. M. García-Martin, A. Cebollada, G. Armelles, B. Sepulveda, Y. Alaverdyan, and M. Kall, "Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity," Small 4, 202-205 (2008).
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M. Osada, M. Itose, Y. Ebina, K. Ono, S. Ueda, K. Kobayashi, and T. Sasaki, "Gigantic magneto-optical effects induced by Fe/Co-cosubstitution in titania nanosheets," Appl. Phys. Lett. 92, 253110 (2008).
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J. Gómez Rivas, M. Kuttge, P. Haring Bolivar, H. Kurz, and J. A. Sánchez-Gil, "Propagation of Surface Plasmon Polaritons on Semiconductor Gratings," Phys. Rev. Lett. 93, 256804 (2004).
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J. Gómez Rivas, M. Kuttge, P. Haring Bolivar, H. Kurz, and J. A. Sánchez-Gil, "Propagation of Surface Plasmon Polaritons on Semiconductor Gratings," Phys. Rev. Lett. 93, 256804 (2004).
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T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, "Surface plasmon polariton based modulators and switches operating at telecom wavelengths," Appl. Phys. Lett. 85, 5833-5835 (2004).
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M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
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M. J. Dicken, L. A. Sweatlock, D. Pacifici, H. J. Lezec, K. Bhattacharya, and H. A. Atwater, "Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers," Nano Lett. 8, 4048-4052 (2008).
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J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
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M. Spuch-Calvar, L. Rodriguez-Lorenzo, M. P. Morales, R. A. Alvarez-Puebla, L. M. Liz-Marzan, "Bifunctional nanocomposites with long-term stability, as SERS optical accumulators for ultrasensitive analysis," J. Phys. Chem. C 113, 3373-3377 (2009).
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J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
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J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
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M. Osada, M. Itose, Y. Ebina, K. Ono, S. Ueda, K. Kobayashi, and T. Sasaki, "Gigantic magneto-optical effects induced by Fe/Co-cosubstitution in titania nanosheets," Appl. Phys. Lett. 92, 253110 (2008).
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M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, "Parallel and selective trapping in a patterned plasmonic landscape," Nature Phys. 3, 477-480 (2007).
[CrossRef]

Robinson, J. P.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Rodrigo, S. G.

E. Moreno, S. G. Rodrigo, S. I. Bozhevolnyi, L. Martin-Moreno, and F. J. García-Vidal, "Guiding and focusing of electromagnetic fields with wedge plasmon polaritons," Phys. Rev. Lett. 100, 023901 (2008).
[CrossRef] [PubMed]

Rodriguez-Lorenzo, L.

M. Spuch-Calvar, L. Rodriguez-Lorenzo, M. P. Morales, R. A. Alvarez-Puebla, L. M. Liz-Marzan, "Bifunctional nanocomposites with long-term stability, as SERS optical accumulators for ultrasensitive analysis," J. Phys. Chem. C 113, 3373-3377 (2009).
[CrossRef]

Sáenz, J. J.

S. Albaladejo, M. I. Marqués, F. Scheffold and J. J. Sáenz, " Giant enhanced diffusion of gold nanoparticles in optical vortex fields," Nano Lett. 9, 3527-3531 (2009).
[CrossRef] [PubMed]

S. Albaladejo, M. I. Marqués, M. Laroche and J. J. Sáenz "Scattering Forces from the Curl of the Spin Angular Momentum of a Light Field," Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef] [PubMed]

M. Laroche, S. Albaladejo, R. Carminati and J. J. Sáenz, "Optical resonances in dielectric nanorod arrays: Field induced fluorescence enhancement," Opt. Lett. 32, 2762-2764 (2007).
[CrossRef] [PubMed]

L. S. Froufe-Pérez, R. Carminati and J. J. Sáenz, "Fluorescence decay rate statistics of a single molecule in a disordered cluster of nanoparticles," Phys. Rev. A 76, 013835 (2007).
[CrossRef]

R. Gómez-Medina, M. Laroche, and J. J. Sáenz, "Extraordinary optical reflection from sub-wavelength cylinder arrays," Opt. Express 14, 3730-3737 (2006).
[CrossRef] [PubMed]

M. Laroche, S. Albaladejo, R. Gómez-Medina, and J. J. Sáenz, "Tuning the optical response of nanocylinder arrays: An analytical study, " Phys. Rev. B 74, 245422 (2006).
[CrossRef]

R. Gómez-Medina and J. J. Sáenz "Unusually strong optical interactions between particles in quasi-onedimensional geometries," Phys. Rev. Lett. 93, 243602 (2004).
[CrossRef]

Sánchez-Gil, J. A.

J. Gómez Rivas, M. Kuttge, P. Haring Bolivar, H. Kurz, and J. A. Sánchez-Gil, "Propagation of Surface Plasmon Polaritons on Semiconductor Gratings," Phys. Rev. Lett. 93, 256804 (2004).
[CrossRef]

Sandtke, M.

M. Sandtke and L. Kuipers, "Slow guided surface plasmons at telecom frequencies," Nature Photon. 1, 573-576 (2007).
[CrossRef]

Sasaki, T.

M. Osada, M. Itose, Y. Ebina, K. Ono, S. Ueda, K. Kobayashi, and T. Sasaki, "Gigantic magneto-optical effects induced by Fe/Co-cosubstitution in titania nanosheets," Appl. Phys. Lett. 92, 253110 (2008).
[CrossRef]

Schaadt, D. M.

D. M. Schaadt, B. Feng, and E. T. Yu, "Enhanced semiconductor optical absorption via surface plasmon excitation in metal nanoparticles," Appl. Phys. Lett. 86, 063106 (2005).
[CrossRef]

Scheffold, F.

S. Albaladejo, M. I. Marqués, F. Scheffold and J. J. Sáenz, " Giant enhanced diffusion of gold nanoparticles in optical vortex fields," Nano Lett. 9, 3527-3531 (2009).
[CrossRef] [PubMed]

Sepulveda, B.

J. B. González-Diáz, J. M. García-Martin, A. Cebollada, G. Armelles, B. Sepulveda, Y. Alaverdyan, and M. Kall, "Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity," Small 4, 202-205 (2008).
[CrossRef] [PubMed]

Shanker, B.

B. Shanker and A. Lakhtakia, "Extended Maxwell Garnett Formalism for Composite Adhesives for Microwave-Assisted Adhesion of Polymer Surfaces," J. Composite Mater. 27, 1203-1213 (1993).
[CrossRef]

Sihvola, A. H.

Skuza, J. R.

J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
[CrossRef]

Smith, D. A.

Spuch-Calvar, M.

M. Spuch-Calvar, L. Rodriguez-Lorenzo, M. P. Morales, R. A. Alvarez-Puebla, L. M. Liz-Marzan, "Bifunctional nanocomposites with long-term stability, as SERS optical accumulators for ultrasensitive analysis," J. Phys. Chem. C 113, 3373-3377 (2009).
[CrossRef]

Stanley, J. K.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Stanton-Maxey, K. J.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Stokes, K. L.

Sturgis, J.

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

Sweatlock, L. A.

V. E. Ferry, L. A. Sweatlock, D. Pacifici, and H. A. Atwater, "Plasmonic Nanostructure Design for Efficient Light Coupling into Solar Cells," Nano Lett. 8, 4391-4397 (2008).
[CrossRef]

M. J. Dicken, L. A. Sweatlock, D. Pacifici, H. J. Lezec, K. Bhattacharya, and H. A. Atwater, "Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers," Nano Lett. 8, 4048-4052 (2008).
[CrossRef] [PubMed]

Ueda, S.

M. Osada, M. Itose, Y. Ebina, K. Ono, S. Ueda, K. Kobayashi, and T. Sasaki, "Gigantic magneto-optical effects induced by Fe/Co-cosubstitution in titania nanosheets," Appl. Phys. Lett. 92, 253110 (2008).
[CrossRef]

van Bladel, J.

J. van Bladel, "Some remarks on Green’s dyadic for infinite space," IRE Trans. Ant. Propag. 9, 563-566 (1961).
[CrossRef]

Varadan, V. K.

V. V. Varadan, A. Lakhtakia and V. K. Varadan, "Scattering by three-dimensional anisotropic scatterers," IEEE Trans. Antennas Propag. 37, 800-802 (1989).
[CrossRef]

Varadan, V. V.

V. V. Varadan, A. Lakhtakia and V. K. Varadan, "Scattering by three-dimensional anisotropic scatterers," IEEE Trans. Antennas Propag. 37, 800-802 (1989).
[CrossRef]

Vazquez, M.

J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
[CrossRef]

Vigoureux, J. M.

R. Carminati, J. J. Greffet, C. Henkel and J. M. Vigoureux, "Radiative and non-radiative decay of a single molecule close to a metallic nanoparticle," Opt. Commun. 261, 368-375 (2006).
[CrossRef]

Wehrspohn, R. B.

J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
[CrossRef]

Weiglhofer, W. S.

Yaghjian, A. D.

A. D. Yaghjian, "Electric dyadic Green’s functions in the source region," Proc. IEEE 68, 248-263 (1980).
[CrossRef]

Yu, E. T.

D. M. Schaadt, B. Feng, and E. T. Yu, "Enhanced semiconductor optical absorption via surface plasmon excitation in metal nanoparticles," Appl. Phys. Lett. 86, 063106 (2005).
[CrossRef]

Zelenina, A. S.

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, "Parallel and selective trapping in a patterned plasmonic landscape," Nature Phys. 3, 477-480 (2007).
[CrossRef]

Adv. Mater. (1)

J. B. González-Diáz, A. García-Martín, G. Armelles, D. Navas, M. Vazquez, K. Nielsch, R. B. Wehrspohn and U. Gosele, "Enhanced magneto-optics and size effects in ferromagnetic nanowire arrays," Adv. Mater. 19, 2643-2647 (2007).
[CrossRef]

Appl. Phys. Lett. (3)

D. M. Schaadt, B. Feng, and E. T. Yu, "Enhanced semiconductor optical absorption via surface plasmon excitation in metal nanoparticles," Appl. Phys. Lett. 86, 063106 (2005).
[CrossRef]

T. Nikolajsen, K. Leosson, and S. I. Bozhevolnyi, "Surface plasmon polariton based modulators and switches operating at telecom wavelengths," Appl. Phys. Lett. 85, 5833-5835 (2004).
[CrossRef]

M. Osada, M. Itose, Y. Ebina, K. Ono, S. Ueda, K. Kobayashi, and T. Sasaki, "Gigantic magneto-optical effects induced by Fe/Co-cosubstitution in titania nanosheets," Appl. Phys. Lett. 92, 253110 (2008).
[CrossRef]

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A. Lakhtakia, " General theory of the Purcell-Pennypacker scattering approach and its extension to bianisotropic scatterers," Astrophys. J. 394, 494-499 (1992).
[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

IEEE Trans. Antennas Propag. (1)

V. V. Varadan, A. Lakhtakia and V. K. Varadan, "Scattering by three-dimensional anisotropic scatterers," IEEE Trans. Antennas Propag. 37, 800-802 (1989).
[CrossRef]

Int. J. Infrared Millim.Waves (1)

A. Lakhtakia, "On the polarizability dyadics of electrically small, convex objects," Int. J. Infrared Millim.Waves 14, 2269-2275 (1993).
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Int. J. of Mod. Phys. C (1)

A. Lakhtakia, "Strong and weak forms of the method of moments and the coupled dipole method for scattering of time-harmonic electromagnetic fields," Int. J. of Mod. Phys. C 3, 583-603 (1992); corrections: ibid4, 721-722 (1993).
[CrossRef]

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J. van Bladel, "Some remarks on Green’s dyadic for infinite space," IRE Trans. Ant. Propag. 9, 563-566 (1961).
[CrossRef]

J. Composite Mater. (1)

B. Shanker and A. Lakhtakia, "Extended Maxwell Garnett Formalism for Composite Adhesives for Microwave-Assisted Adhesion of Polymer Surfaces," J. Composite Mater. 27, 1203-1213 (1993).
[CrossRef]

J. Phys. Chem. C (1)

M. Spuch-Calvar, L. Rodriguez-Lorenzo, M. P. Morales, R. A. Alvarez-Puebla, L. M. Liz-Marzan, "Bifunctional nanocomposites with long-term stability, as SERS optical accumulators for ultrasensitive analysis," J. Phys. Chem. C 113, 3373-3377 (2009).
[CrossRef]

Nano Lett. (4)

V. E. Ferry, L. A. Sweatlock, D. Pacifici, and H. A. Atwater, "Plasmonic Nanostructure Design for Efficient Light Coupling into Solar Cells," Nano Lett. 8, 4391-4397 (2008).
[CrossRef]

S. Albaladejo, M. I. Marqués, F. Scheffold and J. J. Sáenz, " Giant enhanced diffusion of gold nanoparticles in optical vortex fields," Nano Lett. 9, 3527-3531 (2009).
[CrossRef] [PubMed]

M.-R. Choi, K. J. Stanton-Maxey, J. K. Stanley, C. S. Levin, R. Bardhan, D. Akin, S. Badve, J. Sturgis, J. P. Robinson, R. Bashir, N. J. Halas, and S. E. Clare, "A Cellular Trojan Horse for Delivery of Therapeutic Nanoparticles into Tumors," Nano Lett. 7, 3759-3765 (2007).
[CrossRef] [PubMed]

M. J. Dicken, L. A. Sweatlock, D. Pacifici, H. J. Lezec, K. Bhattacharya, and H. A. Atwater, "Electrooptic Modulation in Thin Film Barium Titanate Plasmonic Interferometers," Nano Lett. 8, 4048-4052 (2008).
[CrossRef] [PubMed]

Nature (1)

W. L. Barnes, A. Dereux, and T. W. Ebbesen, "Surface plasmon subwavelength optics," Nature 424, 824-830 (2003).
[CrossRef] [PubMed]

Nature Photon. (1)

M. Sandtke and L. Kuipers, "Slow guided surface plasmons at telecom frequencies," Nature Photon. 1, 573-576 (2007).
[CrossRef]

Nature Phys. (1)

M. Righini, A. S. Zelenina, C. Girard, and R. Quidant, "Parallel and selective trapping in a patterned plasmonic landscape," Nature Phys. 3, 477-480 (2007).
[CrossRef]

Opt. Commun. (1)

R. Carminati, J. J. Greffet, C. Henkel and J. M. Vigoureux, "Radiative and non-radiative decay of a single molecule close to a metallic nanoparticle," Opt. Commun. 261, 368-375 (2006).
[CrossRef]

Opt. Express (3)

Opt. Lett. (3)

Phys. Rev. A (1)

L. S. Froufe-Pérez, R. Carminati and J. J. Sáenz, "Fluorescence decay rate statistics of a single molecule in a disordered cluster of nanoparticles," Phys. Rev. A 76, 013835 (2007).
[CrossRef]

Phys. Rev. B (3)

J. B. Gonzalez-Diaz, A. Garc’ıa-Martin, G. Armelles, J. M. Garc’ıa-Martin, C. Clavero, A. Cebollada, R. A. Lukaszew, J. R. Skuza, D. P. Kumah, and R. Clarke, "Surface-magnetoplasmon nonreciprocity effects in noblemetal/ ferromagnetic heterostructures," Phys. Rev. B 76, 153402 (2007).
[CrossRef]

P. C. Chaumet and M. Nieto-Vesperinas, "Coupled dipole method determination of the electromagnetic force on a particle over a flat dielectric substrate, " Phys. Rev. B 61, 14119-14127 (2000).
[CrossRef]

M. Laroche, S. Albaladejo, R. Gómez-Medina, and J. J. Sáenz, "Tuning the optical response of nanocylinder arrays: An analytical study, " Phys. Rev. B 74, 245422 (2006).
[CrossRef]

Phys. Rev. B. (1)

K. Hinsen, A. Bratz and B. U. Felderhof, "Anisotropic dielectric tensor and the Hall effect in a suspension of spheres," Phys. Rev. B. 23, 14995-15003 (1992).
[CrossRef]

Phys. Rev. Lett. (4)

R. Gómez-Medina and J. J. Sáenz "Unusually strong optical interactions between particles in quasi-onedimensional geometries," Phys. Rev. Lett. 93, 243602 (2004).
[CrossRef]

S. Albaladejo, M. I. Marqués, M. Laroche and J. J. Sáenz "Scattering Forces from the Curl of the Spin Angular Momentum of a Light Field," Phys. Rev. Lett. 102, 113602 (2009).
[CrossRef] [PubMed]

E. Moreno, S. G. Rodrigo, S. I. Bozhevolnyi, L. Martin-Moreno, and F. J. García-Vidal, "Guiding and focusing of electromagnetic fields with wedge plasmon polaritons," Phys. Rev. Lett. 100, 023901 (2008).
[CrossRef] [PubMed]

J. Gómez Rivas, M. Kuttge, P. Haring Bolivar, H. Kurz, and J. A. Sánchez-Gil, "Propagation of Surface Plasmon Polaritons on Semiconductor Gratings," Phys. Rev. Lett. 93, 256804 (2004).
[CrossRef]

Physica (1)

D. Bedeaux and P. Mazur, "On the critical behaviour of the dielectric constant for a nonpolar fluid," Physica 67, 23-54 (1973).
[CrossRef]

Proc. IEEE (1)

A. D. Yaghjian, "Electric dyadic Green’s functions in the source region," Proc. IEEE 68, 248-263 (1980).
[CrossRef]

Small (1)

J. B. González-Diáz, J. M. García-Martin, A. Cebollada, G. Armelles, B. Sepulveda, Y. Alaverdyan, and M. Kall, "Plasmonic Au/Co/Au nanosandwiches with enhanced magneto-optical activity," Small 4, 202-205 (2008).
[CrossRef] [PubMed]

Other (7)

J. D. Jackson, Classical Electrodynamics (John Wiley & Sons, New York, 1999), 3rd edition, Chap. 6,9.

L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, Cambridge, 2006).

J. J. H. WangGeneralized Moment Methods in Electromagnetics (John Wiley, New York, 1991)

H. C. van de Hulst, Light Scattering by small particles (Dover, New York, 1981).

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (JohnWiley &Sons, New York, 1998).
[CrossRef]

M. I. Mishchenko, L. D. Travis and A. A. Lacis, Scattering, Absorption, and Emission of Light by Small Particles (Cambridge Univ. Press, 2002).

L. D. Landau, E. M. Lifshitz and L. P. Pitaevskii, Electrodynamics of Continuous Media (Pergamon Press, Oxford, 1984).

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Figures (1)

Fig. 1.
Fig. 1.

(a) Sketch of the geometry for polar magneto optical Kerr effect (PMOKE) for a spherical nanoparticle. (b) Sketch of the geometry for transverse magneto optical Kerr effect (TMOKE) for a cylindrical nanoparticle.

Equations (60)

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

α 0 3 v ( ε ε h I ) ( ε + 2 ε h I ) 1
1 2 { V J * E 0 d 3 r } = P dis + P rad = P dis + 1 2 { s E s × H s * n ds }
1 2 ω { E 0 p } = P dis + c n h k 4 12 π ε 0 ε h p 2 =
1 2 ω ε 0 ε h { E 0 α E 0 } = P dis + c n h k 4 12 π ε 0 ε h E 0 α α E 0
k 3 6 π E 0 α α E 0 = { E 0 α E 0 } = { E 0 ( α α 1 ) α E 0 }
{ p α h 1 p } = 0 ; α h 1 { α 1 i k 3 6 π I }
α 1 = α h 1 i k 3 6 π I
p = ε 0 ε h α E inc = ε 0 ε h α ̂ E 0
× × G k 0 2 ε h G = I δ ( r r 0 ) ,
G ( r , r 0 ) | r r 0 = ( I + k 2 ) e ik r r 0 4 π r r 0 .
P rad = ω 3 μ 0 2 p { ( r 0 , r 0 ) } p
{ E 0 α ̂ E 0 } = k 2 E 0 α ̂ { ( r 0 , r 0 ) } α ̂ E 0
α ̂ 1 = α ̂ h 1 i k 2 { ( r 0 , r 0 ) }
α 1 = α h 1 i k 2 { G r 0 r 0 } .
E inc ( r 0 ) = E 0 ( r 0 ) + k 2 ε 0 ε h G b r 0 r 0 p = E 0 ( r 0 ) + k 2 G b r 0 r 0 α E inc
p = ε 0 ε h α ( I k 2 G b ( 0 ) α ) 1 E 0 = ε 0 ε h α ̂ E 0
α ̂ 1 = α 1 k 2 G b r 0 r 0 = α h 1 i k 2 { G r 0 r 0 } k 2 G b r 0 r 0
= ( α h 1 k 2 { G b r 0 r 0 } ) i k 2 { r 0 r 0 }
α ̂ h 1 = α h 1 k 2 { G b r 0 r 0 }
× × E k 0 2 ε h E = k 0 2 ( ε ( r ) ε h I ) . E
E ( r ) = E 0 ( r ) + k 0 2 G r r′ ( ε ( r′ ) ε h I ) E ( r′ ) d 3 r′
E ( r ) E 0 ( r ) + k 0 2 G r r 0 v ( ε ε h I ) E inside ( r 0 )
= E 0 ( r ) + k 2 ε 0 ε h G r r 0 . p
E inside = E 0 ( r 0 ) + k 0 2 ( G r 0 r′ d 3 r′ ) ( ε ε h I ) . E inside
= E 0 ( r 0 ) + k 0 2 v G ( ε ε h I ) . E inside
E inside = { I k 0 2 v G ( ε ε h I ) } 1 E 0 ( r 0 ) .
v G ( G r 0 r′ d 3 r′ ) v 0 = ( 1 k 2 L + M )
E inside = { I k 0 2 ( 1 k 2 L + M ) ( ε ε h I ) } 1 E 0 ( r 0 ) ,
α = v ( ε ε h I ) { I k 0 2 ( 1 k 2 L + M ) ( ε ε h I ) } 1
α = α h { I i k 3 6 π α h } 1
α h = v ( ε ε h I ) { ε h I + ( L k 2 M R ) ( ε ε h I ) } 1 .
L k 2 M R = 1 3 { 1 ( ka ) 2 + } I .
α h 3 v ( ε ε h I ) ( ε + 2 ε h I ( ka ) 2 ( ε ε h I ) ) 1
G ρ ρ 0 | ρ ρ 0 = ( I + k 2 ) i 4 H 0 ( k ρ ρ 0 ) )
α 1 = i k 2 8 ( I + u z u z ) + α h 1
G A 0 { 1 2 k 2 A + i 1 8 } I t + i 1 4 u z u z
α = α 0 { I i k 2 8 ( I + u z u z ) α 0 } 1
α 0 = 2 A ( ε ε h I ) ( I t ( ε + ε h I ) + 2 u z u z ) 1
α 0 zz = A ( ε ε h )
α 0 xx = α 0 yy = 2 A ε ε h ε + ε h
ε = ( ε ε xy 0 ε yx ε 0 0 0 ε ) .
α 0 xx = α 0 yy = 3 v ε 0 ( ε 1 ) ( ε + 2 ) Q 2 ε 2 ( ε + 2 ) 2 Q 2 ε 2
α 0 yx = α 0 xy * = i 3 v ε 0 3 Q ε ( ε + 2 ) 2 Q 2 ε 2
α 0 zz = 3 v ε 0 ε 1 ε + 2
R yx R xx = α yx α xx = R yx R xx e i δ θ + i φ
R yx R xx = { 3 Q ε ( ε 1 ) ( ε + 2 ) Q 2 ε 2 sin δ } e i δ
1 tan δ = C ( 1 α 0 yx α 0 xx 2 ) , C k 0 3 6 π ε 0 α 0 xx
φ 3 ε + 2 ε ε 1 Q
θ 2 ( ε + 2 ) 2 ( k 0 a ) 3 ε Q
R yx R xx = i ( r + r r + + r ) θ + i φ
r ± i ( n ± 2 1 ) k 0 d 2 ( n ± 4 1 ) ( k 0 d 2 ) 2 +
φ ε ε 1 Q
θ k 0 d 2 ε Q
α 0 xx = α 0 yy = 2 A ε 0 ( ε 1 ) ( ε + 1 ) Q 2 ε 2 ( ε + 1 ) 2 Q 2 ε 2
α 0 yx = α 0 xy * = i 2 A ε 0 2 Q ε ( ε + 1 ) 2 Q 2 ε 2
α 0 zz = A ε 0 ( ε 1 )
Δ I 0 I 0 I 0 ( Q ) I 0 ( Q ) I 0 ( Q ) + I 0 ( Q ) = I 0 ( Q ) I 0 ( Q ) 2 I 0 ( Q = 0 ) = 2 Re { α yx α xx } tan ( 2 𝛝 )
Δ I 0 I 0 = 2 Q ε ( ε 1 ) ( ε + 1 ) Q 2 ε 2 sin ( 2 δ ) tan ( 2 𝛝 )
1 tan δ = k 0 2 8 ε 0 α 0 xx ( 1 α 0 yx α 0 xx 2 )
Δ I 0 I 0 2 Q ε ( ε + 1 ) 2 π 4 ( k 0 a ) 2 tan ( 2 𝛝 )

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