Full-vector mode solver for bending waveguides based on the finite-difference frequency-domain method in cylindrical coordinate systems

A full-vector mode solver for bending waveguides is described based on the finite-difference frequency-domain method in a local cylindrical coordinate system in which the formulas are directly derived from Maxwell's equations with the help of Yee's mesh. The perfectly matched layer absorbing boundary conditions are incorporated into the present approach in order to effectively demonstrate the leaky nature of bending waveguides. A typical bending rib waveguide is considered as a numerical example to show the effectiveness of the established method.     

Determination of the optical characteristics of thin film coatings. II

The applicability of formulas obtained earlier by the author for determining the important optical characteristics of films comparable in thickness to the wavelength of light are discussed in this paper. Corroborative experimental data for amorphous films of titanium dioxide prepared by chemical means and heated for 1 hr in air at 600 ° C are reported. Values of the index of refraction calculated by the author's method are compared with data obtained using A. S. Valeev's interference method [5]. A new formula for determining the transmittance of films in a highly absorbing region is presented, which ensures better convergence of the approximating series.     

Evolution of the angular power spectrum of scattered radiation from a point source upon propagation in a turbid medium

The propagation of radiation from a point source through a plane layer of an absorbing medium with smooth random permittivity inhomogeneities is considered for the case in which the source and a receiver are spaced by different distances from the layer boundaries. The angular power spectra of the scattered radiation are calculated by the method of statistical modeling for different values of the layer thickness, positions of the source and the receiver relative to the layer, and absorption in the layer. The results for the moments of the angular power distribution obtained earlier in the small-angle approximation are fully confirmed. The transformation of the angular power spectrum upon variation of the source or receiver position with respect to the layer is analyzed for the first time.     

The Design and Electromagnetic‐Wave‐Absorbing Performance of a Broadband Four‐Layer Absorbing Composite

A four‐layer absorbing composite on millimeter scale is designed containing an absorbent with multilayer‐like structure on the microscale. In this four‐layer absorbing composite, epoxy resin acts as transparent layer, the multilayer‐like structure absorbent serves as the main absorbing layer; graphene/Ni composite acts as an impedance matching layer; and Fe₃O₄ nanoparticles serve as a magnetic‐loss absorbing layer. The reflection loss of the composites is simulated with CST Microwave Studio, and the absorbency of the composites is discussed in detail when the thickness of each layer is changed. The results show that when the thicknesses of the transparent layer, main absorbing layer, impedance matching layer, and magnetic‐loss absorbing layer are 2.5, 2, 1.5, and 2 mm, respectively, the minimum reflection loss of the composite is ?51.7 dB, the bandwidth below ?10 dB reaches 11.82 GHz, and the density of the composite is nearly 1.9 g cm^?3. Therefore, this new four‐layer absorbing composite possesses strong absorbency, broad absorbing bandwidth, thin thickness, and light weight. Thus, a new way to the development of multilayer absorbing composites is presented.     

Study on metal microparticle content of the material transferred with Absorbing Film Assisted Laser Induced Forward Transfer when using silver absorbing layer

Absorbing Film Assisted Laser Induced Forward Transfer (AFA-LIFT) is a modified LIFT method where a high absorption coefficient thin film coating of a transparent substrate is used to transform the laser energy into kinetic in order to transfer the “target” material spread on it. This method can be used for the transfer of biomaterials and living cells, which could be damaged by direct irradiation of the laser beam. In previous experiments, ∼50-100 nm thick metal films have been used as absorbing layer. The transferred material can also contain metal microparticles originating from the absorbing thin film and acting as non-desired impurities in some cases. The aim of our work was to study how the properties (number, size and covered area) of metal particles transferred during the AFA-LIFT process depend on film thickness and the applied fluence. Silver thin films with different thickness (50-400 nm) were used as absorbing layers and real experimental conditions were modeled by a 100 μm thick water layer. The particles transferred without the use of water layer were also studied. The threshold laser fluence for the complete removal of the absorber from the irradiated area was found to strongly increase with increasing film thickness. The deposited micrometer and submicrometer particles were observed with optical microscope and atomic force microscope. Their size ranged from 100 nm to 20 μm and depended on the laser fluence. The increase in fluence resulted in an increasing number of particles of smaller average size.     

截断各向异性等离子体的修正各向异性完全匹配层吸收边界

 基于磁化等离子体本构方程,提出了一种截断各向异性色散介质的修正的各向异性完全匹配层(M-UPML)吸收边界算法。通过等效相对介电常数,将UPML推广到截断各向异性等离子体介质的情形,并推导了其时域有限差分方法(FDTD)迭代式。用该方法计算了半空间磁化与非磁化等离子体的反射系数,计算结果与解析解相一致,表明该吸收边界具有良好的吸收效果。     

蜂窝结构吸波材料等效电磁参数和吸波特性研究

根据强扰动理论,在长波长近似条件下推导出蜂窝结构吸波材料等效介电常数和等效磁导率的计算公式.电磁参数计算结果表明,蜂窝结构吸波材料等效介电常数和等效磁导率均小于吸收层的介电常数和磁导率,但等效介电常数的降幅更大,从而使等效介电常数更接近于等效磁导率,这正是吸波材料波阻抗匹配设计所需要的.反射率计算结果表明,不同的蜂窝高度,吸收层对应一最优厚度,使蜂窝结构吸波材料的反射率最低.这些结果对于蜂窝结构吸波材料设计具有一定的意义. 关键词： 蜂窝结构吸波材料 等效介电常数 等效磁导率 反射率     

Interference heat emission in an absorbing layer in the presence of a two-wave field

The control of the interference heat emission upon the oblique incidence of two counterpropagating (with respect to the transverse component of the wavevector) identically linearly polarized coherent waves on the opposite sides of an absorbing layer is considered. The dependences of the interference heat emission on the angle of incidence and the layer thickness are established for various refractive indices and absorption coefficients in weakly and strongly absorbing media. The conditions for the maximum interference heat emission are determined.     

Improvement on the wave absorbing property of a lossy frequency selective surface absorber using a magnetic substrate

An equivalent-circuit model is used to analyse the improvement of the wave absorbing performance of the lossy frequency selective surface(FSS) absorber by using a magnetic substrate,showing that it is possible to widen the wave absorbing bandwidth.Three pieces of magnetic substrates are prepared.According to the complex permittivity and permeability,the reflectivity of the corresponding absorber is calculated by the finite difference time-domain(FDTD) method,and the bandwidth of the reflectivity below 10 dB is optimized by genetic algorithm.The calculated results indicate that the wave absorbing performance is significantly improved by increasing the complex permeability of the substrate;the reflectivity bandwidth below 10 dB of the single layer FSS absorber can reach 3.6-18 GHz with a thickness of 5 mm,which is wider than that with a dielectric substrate.The density of the FSS absorber is only 0.92 g/cm 3.Additionally,the absorption band can be further widened by inserting a second lossy FSS.Finally,a double layer lossy FSS absorber with a magnetic substrate is fabricated based on the design result.The experimental result is consistent with the design one.     

Effect of the ellipticity of an inducing beam on the thermocapillary response

A thermocapillary depression is induced by a He-Ne laser beam in a plane-parallel layer of a transparent liquid on an absorbing substrate. The thermocapillary response is investigated as a function of the laser beam ellipticity, the laser power, and the layer thickness.     

Single layer homogeneous model for surface roughness by polarized light scattering

In this paper a homogeneous single layer model for surface roughness by polarized light has been developed. It has been shown that the reflectance change in non-absorbing layer is directly proportional to the refractive index of the ambient and substrate media for s polarization but inversely proportional to the p polarization and it is directly proportional to the square of the thickness of the layer for both the polarization. In an absorbing layer, it has been shown that the thickness of the layer is equal to the twice of surface roughness of the single layer identical system for s polarization but it is ratio of twice of surface roughness to the square of refractive index of thin film for p polarization. The extinction coefficient of the layer is directly proportional to the thickness of that layer for both the polarization. The consequence of the scattered light on the specular reflectance and transmittance for oblique incidence shows that there is reduction in reflectance (in both non-absorbing and absorbing cases) and transmittance (in the absorbing case for p polarization only), due to roughness on the surface under the Drude effective-medium approximation. Thus such an absorbing layer provides a valid model for the effect of scatter on the transmittance for p polarization only.     

Application of standard recurrent formulas to the calculation of multilayer systems with light absorption near the layer boundaries

The problem of numerical calculation of weakly absorbing multilayer dielectric coatings with loss concentrated near the layer boundaries, in interlayers of thickness h, which are considerably smaller than the wavelength λ, was solved. The application of standard recurrent formulas is often difficult because of the absence of exact information on h, the refractive indices of interlayers n, and their absorption coefficients χ. To overcome this obstacle, one can take certain fictitious values of h, n, and χ, which, when substituted into formulas, finally give the correct optical parameters of a multilayer as a whole. This statement was supported by numerical calculations made for a typical dielectric mirror for different angles of incidence and polarizations. The results obtained show that the simplest way of solving the problem is to assume that each interlayer has a purely ohmic conduction, i.e., set n=χ. It is reasonable to recommend the values h/λ=10^?6 or 10^?7 and choose the product nχ h/λ starting from the loss of a multilayer system as a whole.     

Optical parameters of epitaxial GaN thin film on Si substrate from the reflection spectrum

A method has been proposed for determining the optical properties of a thin film layer on absorbing substrates. The film optical parameters such as thickness, refractive index, absorption coefficient, extinction coefficient and the optical energy gap of an absorbing film are retrieved from the interference fringes of the reflection spectrum at normal incidence. The envelopes of the maxima of the spectrum E_M and of the minima E_m are introduced in analytical forms to find the reflectance amplitudes at the interfaces and approximate values of the thin film refractive index. Then, the interference orders and film thickness are calculated to get accurate values of the needed optical parameters. There are no complex fitting procedures or assumed theoretical refractive index dispersion relations. The method is applied to calculate the optical properties of an epitaxial gallium nitride thin film on a silicon (1 1 1) substrate. Good agreement between our results and the published data are obtained.     

50~110 nm波段高反射率多层膜的设计与制备

阐述了50~110 nm强吸收波段亚四分之一波长多层膜的设计方法.这种膜系是由强吸收材料叠加而成，每层膜光学厚度小于四分之一个波长.与常规周期多层膜相比，这种膜系更适用于提高强吸收波段的反射率.利用该方法设计了50 nm处高反射多层膜，并以此为初始条件通过Levenberg-Marquart优化方法完成了50~110 nm强吸收波段宽带高反射率Si/W/Co多层膜的设计，其平均反射率达到45%.采用直流磁控溅射方法制备了Si/W/Co多层膜,用X射线衍射仪(XRD)对膜层结构进行了测试，测试结果表明制作出的多层膜结构与设计结构基本相符.     

Pulsed modes of the formation of multilayer char structures on the surface of fire-retardant intumescent paints

A mathematical model of the propagation of the front of decomposition of active fire-retardant intumescent paints in pulsed mode is developed. A hypothesis explaining the mechanism of the experimen-tally observed pulsed modes of decomposition front propagation by the existence of an exothermic step in the decomposition reaction, leading to the self-acceleration of the reaction and rapid burnout of the reacting substance layer, is suggested. A theory of the propagation of the decomposition front in the pulsed mode based on a minimum number of empirical parameters obtainable from experiment is developed. Based on numerical simulation results, formulas are derived for predicting the time history of the thickness of the char structure and the time during which the fire-retardant composition can protect the object from fire. These formulas can be used to calculate the desired thickness of the fire-retardant coating that would withstand a fire or a thermal agent of given intensity for a desired time.     

粒子模拟软件吸收边界的研究

 实现了时域有限差分法的Gedney完全匹配层吸收边界条件,并进行了数值验证和参数优化。从结果可以看出其有较低的反射,性能优良;对吸收媒质厚度和电导率分布阶数的参数优化结果与Gedney经验值基本一致。将此吸收边界模块加入到国产粒子模拟软件CHIPIC中,同美国商业粒子模拟软件MAGIC相比有更好的吸收效果。通过对2维极坐标下磁控管的模拟,证明了此吸收边界具有实际应用价值。     

Application of the singularity-subtraction technique to isotropic scattering in a planar layer

A numerical procedure for solving a singular Fredholm integral equation, which describes radiative transfer in an absorbing and isotropically scattering layer exposed to collimated radiation, is studied. The integral equation is solved by subtracting out the singularity and then approximating the integral term by a Gaussian quadrature. Bidirectional and hemispherical properties are found from the source function. Any arbitrary directional distribution of incident radiation can be handled by superimposing the collimated radiation case. In particular, the case of isotropic incident radiation is presented. The method gives accurate results, even for the extreme conditions of large optical thickness and large angle of incidence.     

Homogeneous model for surface roughness in identical double layer system

In this paper a homogeneous model for surface roughness in the identical double layer system has been presented. It has been shown that the reflectance change in non-absorbing layers is directly proportional to the square of the total thickness of the layers. In an absorbing layer, it has been shown that the thickness of each layer is equal to the surface roughness of the identical double layer system. The extinction coefficients of both layers are directly proportional to the thickness of that layer.     

InAlN/GaN异质结二维电子气波函数的变分法研究

使用变分法推导了InAlN/GaN异质结二维电子气波函数和基态能级的解析表达式,并讨论了InAlN/GaN异质结结构参数对二维电子气电学特性的影响.在假设二维电子气来源于表面态的前提下,使用了一个包含两个变分参数的尝试波函数推导电子总能量期望值,并通过寻找能量期望极小值确定变分参数.计算结果显示,二维电子气面密度随InAlN厚度的增大而增大,且理论结果与实验结果一致.二维电子气面密度增大抬高了基态能级与费米能级,并保持二者之差增大以容纳更多电子.InAlN/GaN界面处的极化强度失配随着In组分增大而减弱,二维电子气面密度随之减小,并导致基态能级与费米能级减小.所建立的模型能够解释InAlN/GaN异质结二维电子气的部分电学行为,并为电子输运与光学跃迁的研究提供了解析表达式.