Theory of Surface Magnetoplasmons in Semiconductors

Brion, J. J.; Wallis, R. F.; Hartstein, A.; Burstein, E.

doi:10.1103/physrevlett.28.1455

Cited by 236 publications

(126 citation statements)

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“…It has been known since the early seventies that a magnetic field B = B 0x parallel to the interface induces a modification on the wave vector of a SPP traveling in the perpendicular direction, k sp = k spŷ [see sketch in Fig. 1(a) for relative directions]: [19][20][21] k sp (±B 0 …”

Section: Introductionmentioning

confidence: 99%

Spectral dependence of the magnetic modulation of surface plasmon polaritons in noble/ferromagnetic/noble metal films

et al. 2012

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The magnetic field is an interesting candidate for the development of active plasmonic devices as it is able to modify the surface plasmon polariton (SPP) wave vector. Both real and imaginary parts of the SPP wave vector are affected. Here, we have experimentally determined the contribution of both modulations in the spectral range λ 0 = 500-1000 nm for magnetoplasmonic systems consisting of noble/ferromagnetic/noble multilayered metal films. We have seen that the real part usually exceeds the imaginary one, but in the longer wavelength range the contribution of the imaginary part cannot be neglected. We have analyzed the spectral dependency of the modulation, and we conclude that it is dominated by the evolution of the SPP properties with wavelength and not the magneto-optical parameter. A figure of merit including modulation and propagation distance is also studied for the three ferromagnetic metals, Fe, Co, and Ni.

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Section: Introductionmentioning

confidence: 99%

Spectral dependence of the magnetic modulation of surface plasmon polaritons in noble/ferromagnetic/noble metal films

et al. 2012

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“…It was calculated for transparent waveguides 13,14 , hybrid waveguides 8,9 and surface plasmons [17][18][19] . Always, there was a good correspondence between calculated and experimental data.…”

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confidence: 99%

Enhancement of the transverse non-reciprocal magneto-optical effect

Zayets

Saito

Yuasa

et al. 2012

Journal of Applied Physics

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The origin and properties of the transverse non-reciprocal magneto-optical (nMO) effect were studied. The transverse nMO effect occurs in the case when light propagates perpendicularly to the magnetic field. It was demonstrated that light can experience the transverse nMO effect only when it propagates in the vicinity of a boundary between two materials and the optical field at least in one material is evanescent. The transverse nMO effect is pronounced in the cases of surface plasmons and waveguiding modes. The magnitude of the transverse nMO effect is comparable to or greater than the magnitude of the longitudinal nMO effect. In the case of surface plasmons propagating at a boundary between the transition metal and the dielectric it is possible to magnify the transverse nMO effect and the magneto-optical figure-of-merit may increase from a few percents to above 100%. The scalar dispersion relation, which describes the transverse MO effect in cases of waveguide modes and surface plasmons propagating in a multilayer MO slab, was derived.The magneto-optical (MO) effect is important for a variety of applications. The effect is utilized to read data in a MO disk driver 1 , to switch an optical beam in optical switches 2 and to modulate light intensity in spacial light modulators 3 . It is a powerful scientific tool to determine the local magnetization of a material, to study the bandgap structure and spin-orbit interaction in a solid 4 . A unique feature of the MO effect is nonreciprocity. The optical properties of non-reciprocal devices are different for two opposite directions of light propagation. The non-reciprocal effect can occur only in a MO material and the important optical non-reciprocal devices such as an optical isolator and an optical circulator can only be fabricated by utilizing the MO materials.The MO effect is known to occur in a configuration when light propagates along a magnetic field. When the magnetic field is applied to a material, the electrons with spin directed along and opposite to the magnetic field have different energies. Since the electrons of one spin direction interact with light either of left or right circular polarization 5-7 , light of the left and right circular polarizations experiences different refraction and absorption. When light is transmitted through a MO material, there is a difference of refractive indexes (Faraday effect) and optical absorption (magnetic circular dichroism (MCD effect)) for left and right circularly polarized light. When light is reflected from a MO material, the reflectivity of the right and left circular polarized light is different (polar and longitudinal Kerr effects). All above-mentioned effects have the same origin and the similar properties and will be referred as longitudinal MO effects.It should be no MO effect in the case of the magnetic field applied perpendicularly to the light propagation direction. Since an electromagnetic wave is transverse, its polarization should be in a plane, which is perpendicular to the light propagation direction...

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“…2(a), and CEB moves along the structure with radius r 0 . In the presence of the external permanent magnetic field B ext , the dielectric function of the metal is a tensor [10,[14][15][16]. But in our letter, the external magnetic field B ext is parallel to the Z-direction of the structure, as shown in the inset of fig.…”

Section: Copyright C Epla 2015mentioning

confidence: 87%

Cyclotron electron beam excited surface plasmon polaritons coherent radiation

Gong

Zhao

et al. 2015

EPL

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, S. et al (2015). Cyclotron electron beam excited surface plasmon polaritons coherent radiation. Europhysics Letters: a letters journal exploring the frontiers of physics, 111 (2), 24004-p1-24004-p5. Cyclotron electron beam excited surface plasmon polaritons coherent radiation AbstractA physical mechanism of electron beam excitation of surface plasmon polaritons (SPPs) on the circular cylindrical structure and transformation into coherent radiation is proposed. Here SPPs on the circular cylindrical structures are excited by a cyclotron electron beam (CEB) rather than by the linearly moving electron beam (LEB). This change leads to an essential consequence due to the natural periodicity of 2π in structure and CEB, and this dual natural periodicity makes the SPPs transformation possible and brings significant excellences. HEM hybrid modes and TM0n modes SPPs can be excited and propagate along a cyclotron trajectory together with the CEB to attract energy from CEB continuously to compensate the energy loss; the phase velocity of SPPs synchronizes the CEB; the process of the excitation and transformation is longer. Therefore, the transformed power density is enhanced and reaches up to 10 10 W/ cm 2 . The cyclotron frequency of the electron beam is 1THz, but the frequency regime of the SPPs and the radiation are much higher, up to hundreds of terahertz. The mechanism presented in this letter opens the way for developing the desired room temperature, powerful and coherent light radiation sources from the infrared to the ultraviolet frequency regime. Gong, S., Zhao, T., Hu, M., Zhong, R., Chen, X., Liu, D., Zhang, P., Zhang, C., Chen, J., Jin, B., Wang, H., Wu, P., Liu, S. et al (2015). Cyclotron electron beam excited surface plasmon polaritons coherent radiation. Europhysics Letters: a letters journal exploring the frontiers of physics, 111 (2), 24004-p1-24004-p5. -m -Radiation by moving chargesAbstract -A physical mechanism of electron beam excitation of surface plasmon polaritons (SPPs) on the circular cylindrical structure and transformation into coherent radiation is proposed. Here SPPs on the circular cylindrical structures are excited by a cyclotron electron beam (CEB) rather than by the linearly moving electron beam (LEB). This change leads to an essential consequence due to the natural periodicity of 2π in structure and CEB, and this dual natural periodicity makes the SPPs transformation possible and brings significant excellences. HEM hybrid modes and TM0n modes SPPs can be excited and propagate along a cyclotron trajectory together with the CEB to attract energy from CEB continuously to compensate the energy loss; the phase velocity of SPPs synchronizes the CEB; the process of the excitation and transformation is longer. Therefore, the transformed power density is enhanced and reaches up to 10 10 W/cm 2 . The cyclotron frequency of the electron beam is 1 THz, but the frequency regime of the SPPs and the radiation are much higher, up to hundreds of terahertz. The mechanism presented in this letter opens th...

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Theory of Surface Magnetoplasmons in Semiconductors

Cited by 236 publications

References 3 publications

Spectral dependence of the magnetic modulation of surface plasmon polaritons in noble/ferromagnetic/noble metal films

Spectral dependence of the magnetic modulation of surface plasmon polaritons in noble/ferromagnetic/noble metal films

Enhancement of the transverse non-reciprocal magneto-optical effect

Cyclotron electron beam excited surface plasmon polaritons coherent radiation

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