Analysis of Different Contributions into the Magnetooptical Signal of Magnetophotonic Crystal Type Three-Dimensional Structures

Interference of effects of different levels and magnitudes in producing a net magnetooptical response was considered for the first time in structures similar to magnetophotonic crystals at different wavelengths of the incident irradiation in regions far from plasmon resonances. Contributions of interference and diffraction phenomena in maxima of different orders in three-dimensional systems of the magnetophotonic crystal type were studied. Use of the integral response in the analysis of the magnetooptical effects was shown to lead to disappearing of the interference phenomena. The zero-order diffraction maximum reflects adequately the magnetic component of the magnetooptical response. Numerical estimates of the observed diffraction and interference effects are reported.     

Amorphization of biperiodic domain structures in quasi-uniaxial magnetic films with a critical thickness

The behavior of biperiodic stripe domain structures in quasi-uniaxial magnetic films with a near-critical thickness is studied by scanning magnetic force microscopy and magnetooptical diffraction. In these films, antiphase and hybrid biperiodic domain structures are found to be absent, and the phase transitions between monoperiodic and in-phase biperiodic domain structures are shown to proceed through two-dimensional domain arrays that are amorphized in the arrangement of near-surface distortions in the domain-wall profile.     

Infrared magnetooptic — A tool for the determination of the effective mass

The analysis of the magnetooptical effects of heavily doped materials at the plasma edge yields the concentration dependence of the effective cyclotron mass. Therefore these experiments support the general diskussion about the nonparabolicity of a band, the position of the Fermi level at high degenerated semiconductors and the determination of the dispersion function. Experimental results of the magnetooptical determinedm _c ^* (N) function are compared with coresponding band structure calculations. A matrix calculation model, which describes the symmetrical magnetooptical transmission effects as well as the asymmetrical magnetooptical reflection effects of arbitrary successions of coherent films and incoherent substrates consitently, is used to determine free carrier density profilesN (z) of inhomogeneously doped semiconductors non-destructively. This application of the matrix formalism requires the knowledge of them ^* (N)-function. The influence of the effective cyclotron mass on thedifferential magnetooptical interference structures caused by buried density profiles is discussed.     

Polar and longitudinal magnetooptical Kerr effects in magnetic film/spacer/magnetic substrate system

The paper deals with the electromagnetic theory of longitudinal and normal incidence polar magnetooptical Kerr effects (MOKE) in sandwich structures consisting of a magnetic film on a thick magnetic substrate separated by a nonmagnetic spacer. These structures are employed in fundamental studies of magnetic exchange coupling, tunnel magnetoresistance, spin polarized current,etc., as well as in the design of the magnetoelectronic devices,e.g., magnetic random access memories. The results are expressed in terms of the Jones reflection matrix. This makes the analysis of the observed MOKE in various experimental set-ups easier. To first order in off-diagonal elements of the permittivity tensor, the analytical expressions approximate the results obtained using rigorous matrix formalisms with a little loss in accuracy, provided the magnetooptical effects quadratic in the offdiagonal elements are negligible. The total MOKE is expressed as a a sum of components originating from magnetic film and magnetic substrate, respectively. The components enter the analytical expressions with different phases and may be identified separately by a proper control of the polarization state and photon energy of the incident radiation, angle of incidence, nonmagnetic spacer thickness, and radiation wavelength. The formulae are derived without any restriction on the magnetic film thickness. However, for a rapid evaluation of the trends the MOKE response is also treated under the assumption that the thickness of the magnetic film is much smaller than the radiation wavelength. This work has been partially supported by Grant Agency of the Czech Republic (#202/97/1180 and #202/00/0761), Barrande Project and Grant Agency of Charles University.     

Domain wall structure of weak ferromagnets according to Raman

Visualizing the domain structure and the fine structure of domain walls in orthoferrites based on Raman was proposed. The Raman mapping imaging was obtained for the straight and curved domain wall at line 221 cm⁻¹. The parameters of the domain structure and wall obtained by Raman are consistent with magnetooptical measurements.     

Magnetooptics and magnetic ordering in ferrite nanoparticles in glass doped with iron and rare-earth elements

Magnetic circular dichroism and X-ray diffraction were used to investigate the structure and magnetooptical properties of nanoparticles formed in potassium-aluminum-germanium-boron glass doped with iron and rare-earth elements. It is demonstrated that in thermally processed glass, the main magnetic phase of the formed nanoparticles is γ-Fe₂O₃ maghemite.     

Enhancement of the Kerr effect in magnetooptical DyFeCo/GeO carriers

The optimum parameters of a dielectric layer near the substrate in the interference multilayer structure are calculated. The calculations showed that this layer should have the index of refraction n∼3. The results are presented of measuring the Kerr angle of magnetooptical rotation in the multilayer structure, in which GeO films were used as dielectric layers for the first time. The maximum Kerr angle of rotation and magnetooptical quality observed in this system were 0.75° and 0.34°, respectively. These values exceed those inherent in the known information carriers, which demonstrates the advantage of this structure for use in magnetooptical discs.     

Magnetooptical light concentration by regular domain structures

Expressions are obtained for the diffracted field in the Fresnel and Fraunhoffer diffraction domains. It is shown that the field in the diffraction pattern is the superposition of two orthogonally polarized fields. The distribution of a field with polarization orthogonal to the incident radiation depends substantially on the domain structure parameters. Thus, for zeros of the function f ()=J₀((/)) assigned as radii of the annular domains, a magnetooptical light concentration in an annular image is possible, while for f()=cos(²/2R ₁ ² ) the light is concentrated at a point, i.e., the annular domain structure plays the part of a lens. The effects of light concentration are examined for both the case of annular systems and strip domains.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 31–38, October, 1978.     

Magnetooptical properties of Co-SiO<Subscript>2</Subscript> granular films

The structural, optical, and magnetooptical properties of Co-SiO₂ granular films are studied. It is found that the magnetooptical response is considerably enhanced in samples with a metal component concentration close to the percolation threshold. The Co nanogranules formed in the SiO₂ matrix exhibit ferromagnetic properties and are ordered into the fcc structure, which is confirmed by magnetooptical investigations. The magnetooptical properties of nanocomposites are simulated in the effective-medium approximation. It is shown that the singularities found in the magnetooptical spectra are related to the excitation of plasmon resonances in granular films.     

Reflection and transmission of light by a ferromagnetic structure with a noncollinear orientation of the magnetization of layers

The transmission and reflection of light by a ferromagnetic structure with a noncollinear orientation of the magnetization vectors of layers lying in the plane of the film is considered. The characteristic matrix of the structure that relates the wave amplitudes at the entrance to the system and at the exit from it and that determines the magnetooptical properties of the structure is calculated. The magnetooptical characteristics of this structure are shown to significantly depend on the angle between the magnetization vectors of layers and on the number of layers. Both the magnitude and the character of these dependences are analyzed in relation to the angle of incidence and to the polarization of the incident wave. Such an analysis makes it possible to optimize the magnetooptical properties of this structure.     

Magneto-optic effects in ultrathin structures at longitudinal and polar magnetizations

Procedures based on the Yeh’s 4 × 4 matrix formalism for the treatment of the electromagnetic interactions in multilayers at longitudinal and polar magnetizations and at an arbitrary angle of incidence are described. With the restriction to the magnetooptical effects linear in the off-diagonal permittivity tensor element the characteristic matrices for magnetic layers are derived. They can be considerably simplified when the magnetic layer is ultrathin,i.e., when its thickness is much smaller than the radiation wavelength. From them simple closed form solutions useful for a rapid evaluation of the magnetooptical effects in ultrathin magnetic sandwiches and bilayers are obtained.     

Mode conversion in a magnetooptical waveguide with a band domain structure

The solutions of the equations of coupled modes, describing the propagation and conversion of waveguide modes in a magnetooptical planar waveguide with a band domain structure, are obtained in the two-mode approximation. Dispersion relations are derived for unidirectional and oppositely traveling modes. The mode coupling as a function of the parameters of the structure and the orientation of the magnetization in the domains is investigated for different types of magnetization distribution in the domain structure. Wave-guide-mode conversion is analyzed taking the linear magnetooptical coupling into account. Ulyanov Branch, Moscow State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenil, Fizika, No. 2, pp. 94–101, February, 1993.     

Magnetooptical properties of a ferromagnetic superlattice

Transmission and reflection of a normally incident wave from a magnetic superlattice consisting of 2N ferromagnetic layers with alternating orientation of the magnetization vector are considered. The characteristic matrix of a superlattice relating wave amplitudes at the entrance to the system and at the exit from it is calculated in the closed form and Jones matrices determining all the basic magnetooptical characteristics of the structure (transmission and reflection coefficients, the degree of polarization of transmitted and reflected waves, and so on) are constructed. A significant dependence of these characteristics on the number of layers is demonstrated.     

亚波长金属偏振分束光栅设计分析

结合有效介质理论和薄膜光学的抗反射设计方法,设计了基于0.65μm工作波长的亚波长金属偏振分束光栅,给出了光栅的优化设计参数,采用严格耦合波理论分析了光栅的偏振分束特性.结果表明,亚波长金属光栅对TE偏振表现为金属膜特性,具有高反射,对TM偏振表现为介质膜特性,具有高透射,在-30°<θ<30°的大入射角范围和0.47μm<λ<0.80μm的宽入射波谱内,该光栅的透射光和反射光均具有高偏振消光比和低插入损耗的特点. 关键词： 亚波长金属偏振分束光栅 有效介质理论 薄膜光学 严格耦合波理论     

Optical and magnetooptical properties of granular alloys with giant magnetoresistance in the IR region of the spectrum

The features of the optical and magnetooptical properties of granular alloys with giant magnetoresistance in the IR region are examined in reference to the magnetorefractive effect and the equatorial Kerr effect. Calculations are performed within the semiclassical approximation with consideration of spin-dependent scattering in the bulk of the granules and on their surfaces (interfaces). The expressions obtained for σ _xx(ω) and σ _xy(ω) are found to be sensitive to scattering on the surfaces and in the bulk of the granules, as well as to granule size, the type of impurities trapped on the interfaces, the frequency of the incident light, and the external magnetic field. For granular thin films exhibiting giant magnetoresistance, the theory predicts significant relative changes in the optical reflection and transmission coefficients when the sample is magnetized to saturation (0.02% and 20%, respectively, for giant magnetoresistance of the order of 20%), as well as Kerr and Faraday effects that are nonlinear with respect to magnetization. Zh. éksp. Teor. Fiz. 116, 1762–1769 (November 1999)     

微带阵列天线的时域散射特性

本文用时域有限差分方法(FDTD)研究了微带阵列天线的时域散射场,分析了入射脉冲极化方向不同以及入射方向不同时的散射场的分布情况;讨论了时域散射场的时域波形以及频谱与微带阵列天线结构的关系;用散射场分离算法讨论了地板对于微带贴片阵列散射场的影响.研究发现,有限大地板的微带阵列天线的散射场主要是由地板的边沿电流产生的,同时微带贴片阵列的谐振频率与入射脉冲的极化方向有关,因此不同的极化方向对应于不同的散射频谱. 关键词： 时域散射 微带天线 FDTD     

Electric-field-induced features of propagation and localization of <Emphasis Type="Italic">S</Emphasis>-polaritons in a gyrotropic 1D magnetic photonic crystal

The effect of the quadratic magnetooptical interaction on the refraction of volume electromagnetic TE waves incident from outside onto the surface of a 1D photonic crystal of the easy-axis ferromagnet-nonmagnetic dielectric type in an external dc electric field.     

向列相液晶中弱光引致各向异性衍射图样的研究

研究了弱线偏振光(≈0.16 W/cm²)通过垂直排列C₆₀掺杂的向列相液晶(5CB)薄膜的远场衍射图样.基于取向光折变机理,二波耦合使液晶分子进行二次取向之后,强度为高斯分布的光束通过样品时将形成高斯分布的空间电荷场,偏振光束通过样品时将产生偏振衍射图样.衍射图样的轮廓是同心圆环,在垂直于光的偏振方向有对称缺口.改变入射光的偏振方向可以看到衍射图样也随之改变, 有效非线性折射率系数n₂≈0.3cm²/W 关键词： 向列相液晶 取向光折变效应 自相位调制 衍射图样     

Efficiency of Magnetooptical Conversion of Magnetic Fluxes Produced by the High-Temperature Superconductor Matrix

The possibility for using the ferrite-garnet magnetooptical films with a band domain structure has been considered with the aim of visualization of the spatial distribution of a magnetic flux near sensitive elements of a high-temperature superconductor matrix. The methods that enhance the efficiency of magnetooptical conversion have been suggested.     

Transformation of the domain structure of a cubic ferrimagnetic material at spontaneous spin flip of the easy magnetization axis

The magnetooptical method is used to investigate transformation of the domain structure of a cubic Tb_0.2Y_2.8Fe₅O₁₂ ferrimagnetic material at the temperature of spontaneous spin flip phase transition (SFPF). It is demonstrated that the SFPF is observed in a certain temperature interval in which low- and high-temperature magnetic phase domains coexist. It is established that the character of evolution of the domain configuration in the temperature interval of the spin flip depends significantly on the mechanical stresses presented in the crystal. Experimental results are interpreted in the context of the existing SFPF theory for the cubic crystal.