一类低反射率分形膜系的设计

讨论了一类分形电磁波吸收膜层的设计.基于一种简化模型解析计算了膜系反射率,并得出了一系列选择膜层材料以降低反射率的判据.对由这些判据所选的一些理想和实际材料所构成的膜系的反射率进行了数值模拟.结果表明,符合材料判据构成的分形膜系的反射率会随分形级数的增加而逐渐降低.最低的平均反射率为0.01. 关键词： 分形 薄膜系 电磁波吸收     

Diffraction gratings: An amazing phenomenon

The paper describes and explains the most surprising Woodʼs anomaly: the total absorption of a plane wave by a shallow metallic grating.After a numerical and experimental evidence of the total absorption, we develop a quantitative phenomenological theory. Assuming that the anomalies are caused by the excitation of surface plasmon polaritons on the grating surface, we use theorems on analytic functions of the complex variable for representing the amplitudes of the scattered waves accurately through a phenomenological formula.The original rigorous grating theory used for numerical computations is outlined and some practical applications of strong absorptions are presented.     

Rigorous model of multiwave exposure in optical lithography

A theoretical model of contactless optical lithography with simultaneous participation of several different light waves one of which is incident along the normal to the exposure mask and the remaining are incident obliquely and symmetrically on both sides is considered. The model is based on rigorous solution of the problem of diffraction of a plane optical wave for a simplified 2D diffraction structure consisting of a perfectly conducting finite-thickness screen with a single slot (mask) and a semi-infinite absorbing dielectric located behind the screen (photoresist). The total diffraction field arising in this medium as a result of super-position of different diffraction fields generated by differently directed waves incident on the screen with a slot is analyzed. The quality of reproduction of the optical image of the slot is evaluated using several integrated parameters introduced by the authors earlier. An important case of nanolithography is considered, when the slot width, the screen thickness, and the distance to the medium are on the order of the illumination wavelength. It is found that the optimal value of the slot image quality in this case is attained for two-wave and three-wave regimes of exposure for identical initial phases of incident waves and for angles of incidence of lateral waves from 10° to 20°.     

半导体中多光子吸收跃迁速率的全量子理论分析

本文从非线性光学中辐射跃迁速率的表达式出发,在全量子理论下,导出了半导体中任意阶多光子吸收跃迁速率的一般表达式。理论分析结果表明,n光子吸收跃迁速率与光强的n次方和n阶光子相干度成正比。本文在多能带及二能带理论模型下,对多光子吸收跃迁速率的一般表达式进行了化简,并对非线性相互作用项对跃迁速率的贡献,作了讨论。     

Filament instability and rotational tissue anisotropy: A numerical study using detailed cardiac models

The role of cardiac tissue anisotropy in the breakup of vortex filaments is studied using two detailed cardiac models. In the Beeler-Reuter model, modified to produce stable spiral waves in two dimensions, we find that anisotropy can destabilize a vortex filament in a parallelepipedal slab of tissue. The mechanisms of the instability are similar to the ones reported in previous work on a simplified cardiac model by Fenton and Karma [Chaos 8, 20 (1998)]. In the Luo-Rudy model, also modified to produce stable spiral waves in two dimensions, we find that anisotropy does not destabilize filaments. A possible explanation for this model-dependent behavior based on spiral tip trajectories is offered. (c) 2001 American Institute of Physics.     

Propagation of travelling waves in sub-excitable systems driven by noise and periodic forcing

It has been reported that traveling waves propagate periodically and stably in sub-excitable systems driven by noise [Phys. Rev. Lett. 88, 138301 (2002)]. As a further investigation, here we observe different types of traveling waves under different noises and periodic forces, using a simplified Oregonator model. Depending on different noises and periodic forces, we have observed different types of wave propagation (or their disappearance). Moreover, reversal phenomena are observed in this system based on the numerical experiments in the one-dimensional space. We explain this as an effect of periodic forces. Thus, we give qualitative explanations for how stable reversal phenomena appear, which seem to arise from the mixing function of the periodic force and the noise. The output period and three velocities (normal, positive and negative) of the travelling waves are defined and their relationship with the periodic forces, along with the types of waves, are also studied in sub-excitable system under a fixed noise intensity. Electronic supplementary material Supplementary Online Material     

Mathematical modeling of laser ablation in liquids with application to laser ultrasonics

The use of laser ablation as a means of generating ultrasonic waves in liquid metals is studied in this paper. A mathematical model for predicting the onset of ablation is developed, as is a model of the ablation process based on steady state, one-dimensional gas dynamics in which the vapor phase is treated as an ideal gas. The results of this model are then used in a quasi-two-dimensional model of laser ablation that accounts for the spatial distribution of intensity in the laser beam. Model predictions are compared with experiments conducted on liquid mercury and excellent agreement is obtained. Based on these results, a simplified model is developed that shows excellent agreement with both the theory and the experiments.     

含周期性空腔结构吸声机理的研究*

首先建立并验证了含轴对称空腔周期性结构吸声特性计算的简化有限元仿真方法。在水下环境,用简化的有限元模型结合遗传算法对含周期性圆柱空腔结构的吸声性能进行了优化设计。从能量耗散、变形和模态的角度分析了含周期性空腔结构的吸声机理。空腔结构谐振包括表层的弯曲振动和空腔附近粒子的径向运动,且径向运动随吸声结构厚度方向也是变化的。相对低频区主要激起表层振动模态,高频区激起径向运动模态,且径向振动对声学性能影响很大,其更有利于促进纵波转化为能量更易消散的横波。     

Natural beam focusing of non-axisymmetric guided waves in large-diameter pipes

The propagation of non-axisymmetric guided waves in larger diameter pipes is studied in this paper by treating the guided waves as corresponding Lamb waves in an unwrapped plate. This approximation leads to a simpler method for calculating the phase velocities of hollow cylinder guided waves, which reveals a beam focusing nature of non-axisymmetric guided waves generated by a partial source loading. The acoustic fields in a pipe generated by a partial-loading source includes axisymmetric longitudinal modes as well as non-axisymmetric flexural modes. The circumferential distribution of the total acoustic field, also referred as an angular profile, diverges circumferentially while guided waves propagate with dependence on such factors as mode, frequency, cylinder size, propagation distance, etc. Exact prediction of the angular profile of the total field can only be realized by numerical calculations. In particular cases, however, when the wall thickness is far less than the cylinder diameter and the wavelength is smaller than or comparable to the pipe wall thickness, the acoustic field can be analyzed based on the characteristics of Lamb waves that travel along a periodic unwrapped plate. Based on this assumption, a simplified model is derived to calculate the phase velocities of non-axisymmetric flexural mode guided waves. The model is then applied to discussions on some particular characteristics of guided-wave angular profiles generated by a source loading. Some features of flexural modes, such as cutoff frequency values are predicted with the simpler model. The relationship between the angular profiles and other factors such as frequency, propagation distance, and cylinder size is obtained and presented in simple equations. The angular profile rate of change with respect to propagation distance is investigated. In particular, our simplified model for non-axisymmetric guided waves predicts that the wave beam will converge to its original circumferential shape after the wave propagates for a certain distance. A concept of "natural focal point" is introduced and a simple equation is derived to compute the 1st natural focal distance of non-axisymmetric guided waves. The applicable range of the simplified equation is provided. Industrial pipes meet the requirement of wall thickness being far less than the pipe diameter. The approximate analytical algorithms presented in this paper provides a convenient method enabling quick acoustic field analysis on large-diameter industrial pipes for NDE applications.     

A rainout model for the study of the additional exposure rate due to rainfall

A simplified rainout model is presented in this study. According to this model formulations have been derived to relate the exposure rate on the ground to the radon progeny concentration in raindrops as well as the radon concentration in cloud air. By normalizing the saturation exposure rate of the calculation to the HPIC measured value and by the use of reasonably assumed values for some other parameters, the radon progeny concentration in raindrops as well as the radon concentration in cloud air has been determined.     

Fractional photon model of three-photon mixing in the non-linear interaction process

In this paper, a fractional photon model is proposed by considering the photon-exchange interaction in the reverse process of the non-linear three-photon mixing interaction. The phase matching condition for various types of uniaxial crystals can be simplified and classified by this model with the consideration of the unequal fractional photon-exchange of the two generated waves in the reverse manner. This also leads to the explanation of observing the phase mismatch and output bandwidth of the resonant and non-resonant waves in a cavity. Finally, a quantitative approach to this model, with experimental results, is also demonstrated.     

Diagnosis of sacroiliac joint infection in pregnancy by magnetic resonance imaging

MR imaging was used to diagnose sacroiliac joint infection as the source of persistent back and hip pain in a pregnant woman with bacterial endocarditis and fever who refused diagnostic exposure to any ionizing radiation.     

Near-monochromatic water waves on the sphere

We study analytically and numerically a class of traveling and standing waves in a model of weakly non-linear gravity water waves on the sphere. These waves are ‘near-monochromatic’ in space, i.e. their amplitude consists of one spherical harmonic plus small corrections, and we see numerically that they retain this property for long time. A main feature of the model we consider is that it possesses a Hamiltonian structure. This structure is preserved by our numerical implementation, and we use formal and rigorous arguments from classical perturbation theory to understand the numerical observations.     

Possible use of provitamin D<Subscript>3</Subscript> photoisomerization for spectral dosimetry of bioactive antirachitic UV radiation

The possible use of a simplified UV absorption spectroscopic method for dosimetry of bioactive antirachitic UV radiation has been analyzed. The method is based on the observation of the phototransformation kinetics of the provitamin D₃ primary molecule in ethanol (in vitro vitamin D₃ synthesis model) by measuring the decrease in the optical density at a fixed wavelength during UV exposure. The method can be used successfully for artificial UV sources with a constant radiation spectrum. However, such a technique turns out to be inapplicable to solar UV dosimetry in view of the variability of the solar UV spectrum that results in a varying rate of formation of irreversible photoproducts. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 76, No. 2, pp. 256–260, March–April, 2009.     

Transverse Wave Propagation in Relativistic Two-Fluid Plasmas around Schwarzschild-de Sitter Black Hole

We investigate transverse electromagnetic waves propagating in a plasma influenced by the gravitational field of the Schwarzschild-de Sitter black hole. Applying 3+1 spacetime split we derive the relativistic two-fluid equations to take account of gravitational effects due to the event horizon and describe the set of simultaneous linear equations for the perturbations. We use a local approximation to investigate the one-dimensional radial propagation of Alfvén and high frequency electromagnetic waves. We derive the dispersion relation for these waves and solve it for the wave number k numerically.     

Influence of two-photon absorption on bistable switching in a silicon photonic crystal microcavity

By employing a simplified nonlinear coupled mode theory, we discuss the influence of two-photon absorption (TPA) on the characteristics of bistable switching. It is revealed that the critical value of frequency detuning for bistability rises linearly with increasing TPA coefficient k (when k is less than 30), and eventually access to a saturated value. It is also found that TPA effect will be enhanced for a greater frequency detuning, especially when transmission reaches its peak value. As a result, the peak transmission will decrease monotonously with the increasing frequency detuning. Based on this simplified model, the TPA-induced temperature rise in microcavity is also estimated. The theoretical predictions show good agreement with the simultaneous results, as well as the proposed experimental phenomena.     

不同速度混合的阵列信号速度分析*

为了考察正交偶极子测井中同向分量的速度变化规律,该文采用不同速度传播的两个相同频率的正弦波以不同幅度比进行混合来模拟同向阵列在不同方位接收到的波形,并用波形匹配方法提取混合后的波列速度。数值结果表明,同向分量的视速度一般介于两个混合的正弦波的速度之间,且与由拟合得到的双曲正切函数比较吻合。但在特殊条件下,也会出现阵列复合波形的速度会在正弦波速度范围之外,表现出一定的异常。异常出现的条件和大小与源距、频率以及速度差有关,并可用一个简单的数学关系式表达。该文的结果还可以为实际处理不同源距的混合波测速问题提供参考。     

Lamb waves propagation in elastic plane layers with a joint strip

The Lamb waves are used for the ultrasonic characterization of welds because of their relative long-range propagation. In this paper, a simplified model of a weld-strip between two identical semi-infinite elastic layers is investigated. The reflected and transmitted ultrasonic fields are expressed by modal series whose coefficients are obtained by application of orthogonality relation. Comparisons with solutions obtained by finite elements wave propagation simulations are made. The energy balance between the incident and the scattered waves is also used to verify the accuracy of the obtained modal amplitudes.     

杂质散射引起的亚铁磁体的共振线宽

本文得到了具有二个等价次点阵的椭球亚铁磁体的二支自旋波频谱,它们的频率对波矢的依赖关系与椭球铁磁体的相类似。基于此频谱和交换作用涨落引起的自旋波散射机制,计算了一致共振和交换共振的线宽。对一致共振,用等效铁磁模型得到的结论仍然成立:非磁性杂质离子和自旋等于同一次点阵上基质离子自旋的杂质离子,对一致共振线宽没有贡献。但这二类杂质离子对交换共振线宽有贡献。用我们的简化亚铁磁模型对各种铁氧体算得的一致共振线宽差别很大。对许多尖晶石型铁氧体,交换作用涨落可能是引起一致共振线宽的主要机制。对于铁氧体,由此机制引起的交换共振线宽其数量级为几十奥。     

简化Hodgkin-Huxley反应-扩散方程描述的可激活介质中的旋转波

对一个由简化Hodgkin-Huxley反应 扩散方程描述的可激活介质的运动进行数值计算，在一定的初始条件和边界条件下，获得了稳定的旋转波解．根据可激活介质的特点，把模型近似为一些比较简单的形式，从这些近似形式出发，对旋转波产生的原因在理论上进行了定性分析 关键词：