Calculation of High Frequency Complex Permeability of Carbonyl Iron Flakes in a Nomagnetic Matrix

The carbonyl iron flakes are fabricated by high-energy ball milling. The effective permeability is measured and calculated for the composite consisting of flakes embedded in a nonmagnetic matrix. The magnetic flakes with a shape anisotropy and random spatial distribution of normal direction are considered to calculate the complex permeability of magnetic flake materials. Its analytical model is derived from the Landau-Lifshitz-Gilbert equation and Bruggeman ＇s effective medium theory. The calculated results agree well with the experiment.     

The shape dependence of magnetic and microwave properties for Ni nanoparticles

The magnetic and microwave properties of Ni nanospheres and conical nanorods have been investigated through experimental and theoretical methods. Ni nanospheres and conical nanorods have the same crystal structure and close particle size, whereas the remanence ratio, coercivity, dynamic permeability and microwave absorbing properties show great dependence on their shape. Ni conical nanorods self-assembled into urchin-like structure have higher natural resonance frequency due to the large shape anisotropy compared to the Ni nanospheres. Supposing random spatial distribution of magnetic easy axes and using the Landau-Lifshitz-Gilbert equation associated with the Bruggeman's effective medium theory, we simulate the complex permeability of Ni nanoparticles, which agrees well with the experimental results.     

Comparison of the effects of particle shape on thin FeSiCr electromagnetic wave absorber

The raw materials of FeSiCr were processed in the ball mill for 30 h and the shape of the FeSiCr particles was changed from sphere to flake type, which was observed using a scanning electron microscope. And FeSiCr composite microwave absorbers were mixed with silicone for mobile phones and the effects of the thickness of the samples on the absorption were measured using a network analyzer in order to investigate the relationship between the microwave absorption and the material constants. The flake-type FeSiCr-rubber composite showed high reflection loss, which was due to the high complex permittivity and permeability. Also, the matching frequency shifted toward lower frequency range with microwave absorber thickness, and the maximum reflection loss of −8.7 dB was observed in 1.85 GHz for a 1.6 mm thickness.     

Microwave reflection properties of planar anisotropy FesoNi50 powder/paraffin composites

The reflection properties of planar anisotropy Fe50Ni50 powder/paraffin composites have been studied in the microwave frequency range.The permeability of Fe50Ni50 powder/paraffin composites is greatly enhanced by introducing the planar anisotropy,and can be further enhanced by using a rotational orientation method.The complex permeability can be considered as the superposition of two types of magnetic resonance.The resonance peak at high frequency is attributed to the natural resonance,while the peak at low frequency is attributed to the domain-wall resonance.The simulated results of the microwave reflectivity show that the matching thickness,peak frequency,permeability,and permittivity are closely related to the quarter wavelength matching condition.The Fe50Ni50 powder/paraffin composites can be attractive candidates for thinner microwave absorbers in the L-band(1-2 GHz).     

Microwave absorption properties of the Ni nanofibers fabricated by electrospinning

Ni nanofibers with an average diameter of about 100 nm were synthesized by a simple and cost-effective electrospinning technology. The nanofibers have a polycrystalline structure and each nanofiber is composed of fine particles. The complex permittivity and permeability properties of Ni nanofibers composite have been measured in the frequency range of 1–15 GHz. The double-resonance behavior of microwave magnetic permeability is observed. Natural resonance peak happens at 4.0 GHz with the contribution of shape anisotropy. The second resonance peak around 12.5 GHz originates from exchange resonance effect. The permeability spectra were fitted with the Landau–Lifshitz–Gibert equation. The minimum reflection loss of the Ni nanofibers composite reaches ?35.4 dB at 1.3 GHz with a matching thickness of 8.4 mm, which shows promising application of the Ni nanofibers composites in microwave absorber.     

Thickness dependence of microwave magnetic properties in electrodeposited Fe-Co soft magnetic films with in-plane anisotropy

In this work, the thickness effect of Fe₅₂Co₄₈ soft magnetic films with in-plane anisotropy on static and microwave magnetic properties was investigated. The hysteresis loop results indicated that the static in-plane uniaxial anisotropy field increased from almost 0-60 Oe with increasing film thickness from 100 to 540 nm and well-defined in-plane uniaxial magnetic anisotropy can be obtained as the thickness reached 540 nm or larger. Based on Landau-Lifshitz-Gilbert (LLG) equation, the microwave complex permeability spectra were analyzed and well fitted. The LLG curve-fitting results indicated that the initial permeability increased from 106 to 142 and the resonant frequency was shifted from 4.95 to 4.29 GHz as the film thickness was varied from 540 to 1500 nm. Moreover, it was found that there was a discrepancy between the static and the dynamically determined anisotropy field, which can be explained by introducing an additional effective isotropic ripple field. The decreased ripple field was suggested to result in a significant decrease of damping coefficient from 0.109 to 0.038.     

Electromagnetic characterization of fine-scale particulate composite materials

We report the results of the composition and frequency-dependent complex permittivity and permeability of ZnO and γ-Fe₂O₃ composites prepared by powder pressing. The electromagnetic properties of these materials exhibit a strong dependence on the powder size of the starting materials. In the microwave frequency range, the permittivity and permeability show nonlinear variations with volume fraction of Fe₂O₃. As the particle size decreases from a few micrometers to a few tens of nanometers, the data indicate that local mesostructural factors such as shape anisotropy, porosity and possible effect of the binder are likely to be intertwined in the understanding of electromagnetic properties of fine-scale particulate composite materials.     

Fabrication and electromagnetic properties of flake ferrite particles based on diatomite

Hexagonal ferrite BaZn_1.1Co_0.9Fe₁₆O₂₇ coated surfaces of diatomite flakes of low density were synthesized by a sol-gel method. The phase structures, morphologies, particle size and chemical compositions of the composites were characterized by X-ray diffraction, scanning electron microscope and energy dispersive X-ray spectroscopy. The results show that hexagonal ferrite coated diatomite flakes can be achieved, and that the coating consisted of BaZn_1.1Co_0.9Fe₁₆O₂₇ nanoparticles. The vibranting sample magnetometer results reveal that the flake ferrite particles have static magnetic properties. The complex permeability and permittivity of the composites were measured in the frequency range of 1-18 GHz. The microwave absorption properties of these ferrite particles are discussed. The results indicate that the flake ferrites have the potential to be used as a lightweight broad band microwave absorber.     

Microwave reflection properties of planar anisotropy Fe50Ni50 powder/paraffin composites

The reflection properties of planar anisotropy Fe₅₀Ni₅₀ powder/paraffin composites have been studied in the microwave frequency range. The permeability of Fe₅₀Ni₅₀ powder/paraffin composites is greatly enhanced by introducing the planar anisotropy, and can be further enhanced by using a rotational orientation method. The complex permeability can be considered as the superposition of two types of magnetic resonance. The resonance peak at high frequency is attributed to the natural resonance, while the peak at low frequency is attributed to the domain-wall resonance. The simulated results of the microwave reflectivity show that the matching thickness, peak frequency, permeability, and permittivity are closely related to the quarter wavelength matching condition. The Fe₅₀Ni₅₀ powder/paraffin composites can be attractive candidates for thinner microwave absorbers in the L-band (1-2 GHz).     

The effect of stripe domain structure on dynamic permeability of thin ferromagnetic films with out-of-plane uniaxial anisotropy

The permeability is calculated for a thin ferromagnetic film with the stripe domain structure and out-of-plane uniaxial magnetic anisotropy. Analytical expressions for the frequency dependence of components of permeability tensor are derived with the use of the Smit–Beljers method, with the thickness of domain walls and the domain wall motion being neglected. The effect of the domain width and the angle between the anisotropy axis and the film plane on the frequency dependence of the permeability is analyzed. General equations relating the static permeability components and the ferromagnetic resonance frequencies are found. The results of the approach are applied to the derivation of the constraint for the microwave permeability of thin ferromagnetic films. The analysis of the constraint as a function of the axis deviation angle, the domain aspect ratio and the damping parameter allows the conditions to be found for maximal microwave permeability. The results obtained may be useful in connection with the problem of developing high-permeable microwave magnetic materials.     

多晶铁纤维吸收剂微波电磁参数的各向异性研究

由麦克斯韦方程出发,导出了多晶铁纤维吸收剂微波电磁参数的理论计算公式,通过数值分析,阐述了多晶铁纤维吸收剂微波电磁参数的各向异性.通过纤维取向样品的制备和测试,实验验证了电磁参数的各向异性.理论和实验研究均表明,多晶铁纤维吸收剂的微波电磁参数具有明显的形状各向异性,其轴向磁导率大于径向磁导率,轴向介电常数大于径向介电常数. 关键词：     

Synthesis and microwave magnetic properties of a-Fe/ferrite composites with sandwich structure

A new kind of a-Fe/ferrite composites with sandwich structure was realized by chemical reduction method, where the as-prepared W-type barium hexaferrite flake particles were subjected to a reduction treatment in hydrogen atmosphere at different temperatures. X-ray diffractometer reveals that a-Fe/Co particles precipitate in the ferrite matrix, when the reduction temperature is higher than 230 °C. With the temperature increased, the particles morphology changed into sandwich structure in hexagonal flake particles and the barium hexaferrite phase was decomposed gradually, when were completely decomposed at T=450 °C. Results show that the composites particles with sandwich structure (T=270 °C) have higher microwave complex permeability than the others.     

Effect of shape of Sendust particles on their electromagnetic properties within 0.1-18 GHz range

The microwave permeability dispersion behaviors and microwave-absorbing properties for different shapes of Sendust particles prepared by vibrating ball milling at 35 vol% in paraffin wax matrix have been investigated. The dispersion spectrum of permeability was calculated by the Landau-Lifshitz-Gilbert equation and Bruggeman’s effective medium theory. The calculated results are in agreement with the experiment data. According to the calculation results, the value of (μ₀−1)f_r (μ₀ is static permeability, and f_r is resonance frequency) for flake particle with larger aspect ratio reached 59.1 GHz and exceeded the Snoek’s limit. Considering the quarter-wavelength model and transmission line theory, the microwave absorption peak was discussed. At the frequency range, the flake particle with larger aspect ratio can make a thinner absorber. It provides a way to decrease layer thickness of magnetic absorber.     

具有横向磁晶各向异性的钴纳米线的微波吸收性能

使用电化学脉冲沉积法制备了磁晶各向异性易磁化方向(c轴)垂直纳米线长轴方向的钴纳米线.受到磁晶各向异性、静磁相互作用等因素与形状各向异性相互竞争的结果,纳米线阵列的磁滞回线显示出较弱的磁各向异性.此外,在2—18 GHz频率范围内,纳米线/石蜡复合材料的介电色散谱的虚部在5 GHz处有一个主峰,在10 GHz附近有一个较弱的峰;德拜弛豫特性和材料的电导率对这两个峰的形成均有贡献.同时,其磁导率色散谱的虚部在频率为6.1 GHz处有一个主峰,在10 GHz以上有两个较微弱的峰. 前一个峰源于自 关键词： 钴纳米线 介电色散谱 磁导率色散谱 微波吸收剂     

Synthesis, characterization, and microwave absorption properties of Fe-40 wt%Ni alloy prepared by mechanical alloying and annealing

Fe-40 wt%Ni alloys with granular shape and flake shape were prepared by a mechanical alloying (MA) and annealing method. The phase composition and morphology of the FeNi alloys, electromagnetic parameters, and microwave absorbing properties of the silicone rubber composite absorbers filled with the as-prepared FeNi alloy particles were characterized using X-ray diffraction (XRD), scanning electron microscope (SEM) and vector network analyzer. The XRD results indicate that the crystalline structures of the Fe-40 wt%Ni alloys prepared by both one-step and two-step MA processes are face-centered cubic (fcc) Ni (Fe) solid solutions, and the structures can be retained after annealing at 600 °C for 2 h. SEM images show that the FeNi alloy powders for one-step process have a granular shape; however the particles turned into flake form when they were sequentially milled with absolute ethyl alcohol. With the increase in thickness of composite absorber, the reflection loss (RL) decreases, and the peak for minimum reflection loss shifts towards the lower frequency range. Compared to the absorbers filled with the granular FeNi alloy, the absorbers filled with flaky FeNi alloys possess higher complex permittivities and permeabilities and have a lower RL and peak frequency under the same thickness. Microwave absorbing materials with a low reflection loss peak in the range of 1-4 GHz are obtained, and their microwave absorbing properties can be adjustable by changing their thicknesses.     

Greatly enhanced permeability for planar anisotropy Ce2Fe17N3−δ compound with rotational orientation in various external magnetic fields

A new planar anisotropy Ce₂Fe₁₇N_3?δ compound as an electromagnetic absorption material was prepared by the arc melting method. The influence of rotational orientation in various magnetic fields on the complex permeability and orientation degrees of the compound/paraffin composites was systematically studied. It is found that the orientation plays an important role in complex permeability and orientation degrees. For the composite with rotational orientation in 1.6 T, the real permeability reaches a large value of 4.8 at 2 GHz and the imaginary part reaches 2.6 at 5.5 GHz; on the other hand, the orientation degree reaches 62.4%. It is evident that the oriented Ce₂Fe₁₇N_3?δ composite with planar anisotropy may have potential applications as microwave absorption materials.     

Effect of shape of Fe3Al particles on their microwave permeability and absorption properties

Flake-shaped and sphere-shaped Fe₃Al powder-paraffine composites have been studied in the microwave frequency range. Mössbauer results show that the flake-shaped Fe₃Al particles have easy magnetization plane, which indicates that it is planar-anisotropy. Enhanced permeability is achieved in flake-shaped Fe₃Al compared with the sphere-shaped Fe₃Al. The permeability is further enhanced by using a rotational orientation method. The complex permeability can be characterized by the superposition of two types of magnetic resonance. The resonance peak at high frequency is attributed to the natural resonance, while the peak at low frequency is attributed to the domain-wall resonance. By employing the shape effect and the rotational orientation, the peak frequency of reflection loss for the oriented sample was adjusted to L-band. The planar-anisotropy Fe₃Al powder-paraffine composite can be attractive candidates for thinner microwave absorbers in L-band (1-2 GHz).     

Collisionless radiation in closed cosmologies

An outline is given of some new results for collisionless radiation in Bianchi type IX cosmologies. An interesting new effect is displayed which distorts the pattern of any microwave temperature anisotropy from the quadrupole + dipole shape previously predicted in these models.     

High-frequency magnetic permeability of nanocomposite film

The high-frequency magnetic permeability of nanocomposite film consisting of the single-domain spherical ferromagnetic particles in the dielectric matrix is studied. The permeability is assumed to be determined by rotation of the ferromagnetic inclusion magnetic moments around equilibrium direction in AC magnetic field. The composite is modeled by a cubic array of ferromagnetic particles. The magnetic permeability tensor is calculated by solving the Landau–Lifshits–Gilbert equation accounting for the dipole interaction of magnetic particles. The permeability tensor components are found as functions of the frequency, temperature, ferromagnetic inclusions density and magnetic anisotropy. The obtained results show that nanocomposite films could have a rather high value of magnetic permeability in the microwave range.