Unidirectional transmission realized by two nonparallel gratings made of isotropic media

We realize a unidirectional transmission by cascading two nonparallel gratings (NPGs) made of isotropic, lossless, and linear media. For a pair of orthogonal linear polarizations, one of the gratings is designed as a polarizer, which is a reflector for one polarization and a transmitter for the other; another grating is designed as a polarization converter, which converts most of one polarized incident wave into another polarized transmitted wave. It is demonstrated by numerical calculation that more than 85% of the incident light energy can be transmitted with less than 1% transmission in the opposite direction for linearly polarized light at normal incidence, and the relative bandwidth of the unidirectional transmission is nearly 9%. The maximum transmission contrast ratio between the two directions is 62 dB. Unlike one-way diffraction grating, the transmitted light of the NPGs is collinear with the incident light, but their polarizations are orthogonal.     

Nolinear interaction between P-and SV-wave in isotropic elastic media

I.IntroductionInthelinearwavethcory,thestressinaso1idisproportionaltostrainsandthepropagatingwaves(suchasP-,SV-andSH-waves)satisfythehomogeneouswaveequation.Iftherearesomeboundaries,thereflectionandrefractionobeytheSne11'sla.[1l.Inthenon1inearmcdia,ontheotherhand,a11theequationsarenon1inearsoitisverydifficulttoobtainanexactsolu-honingeneral.Usua11y,thepcrturbationmethodsarcinvokedtofindanapproximateso1ution.Sincethenon1ineartermsofthestrainsappearinthestrcsses,two-waveinteractionwilltakep1…     

各向同性弹性介质中P波与SV波的非线性相互作用

应用作者提出的二阶势理论,本文研究了各向同性弹性介质中P波与SV波的非线性相互作用,得到了相互作用波的表达式。结果表明,当上述二个波的传播方向所夹的角接近于所谓\     

Acoustic-elastodynamic interaction in isotropic fractal media

This research explores the acoustic-elastodynamic interaction in isotropic fractal media. The analysis discusses the direct coupling of two constitutive models under dynamic loading: a continuous solid and an isotropic fractal medium. We consider two situations where in the first, the fractal medium is enclosed within a thin spherical shell (interior problem), while in the second, the fractal medium extends infinitely outside the shell (exterior problem). The two problems are simulated analytically, and the exact solution for the shell displacement is expressed in closed form in the Laplace domain. The formulation of the radiation condition for infinite fractal media is essential to derive the exterior problem’s solution. This study represents a meaningful idealization of real-application problems involving the interaction of multi-constitutive media, e.g. the human brain, whereby fractal features affect the response of this body under various excitations.     

An isotropic cellular automaton for excitable media

We propose a new cellular automaton (CA) model, which reproduces isotropic time-evolution patterns observed in the Belousov-Zhabotinsky reaction. Although several CA models have been proposed exhibiting isotropic patterns of the reaction, most of them need complicated rules and a large number of neighboring cells. Our model can produce isotropic patterns from a simple probabilistic rule among a few (4 or 8) neighboring cells.     

Angular momentum non-conserving decays in isotropic media

Various processes that are forbidden in vacuum due to angular momentum conservation can occur in a medium that is isotropic and does not carry any angular momentum. We illustrate this by considering explicitly two examples. The first one is the decay of a spin-0 particle into a photon and another spin-0 particle, using a model involving the Yukawa interactions of the scalar particles with a charged fermion field. The second one involves the decay of a neutrino into another neutrino and a graviton, in the standard model of particle interactions augmented with the linearized gravitational couplings.     

各向同性固体介质中的高阶非线性系数

到目前为止,人们对自然界岩石非线性系数的量级范围甚至它们的符号都没有确定的结论。本文作者对他以前的理论作了进一步研究,结果表明,奇阶非线性系数只与奇阶非线性谐波的振幅有关;偶阶非线性系数只与偶阶谐波振幅有关,各阶谐波存在积累解,它的振幅与距离一次方成正比的。应用已发表的波谱测量数据对Berea砂石样品的2～5阶非线性系数做了计算。结果表明,2阶和3阶非线性系数的符号为负,4阶和5阶非线性系数的符号为正。由于非线性系数与声场频谱测量的精度密切相关,本文认为对测得的声场频谱需要作探针接收器灵敏度和测量位置变化的修正。     

High-order nonlinear coefficients in isotropic solid media

Up to now,there is no definite conclusion about the magnitude range or even the sign (positive or negative) of nonlinear coefficients of rocks in nature.In this...     

各向同性固体介质中的高阶非线性系数

到目前为止,人们对自然界岩石非线性系数的量级范围甚至它们的符号都没有确定的结论。本文作者对他以前的理论作了进一步研究,结果表明,奇阶非线性系数只与奇阶非线性谐波的振幅有关;偶阶非线性系数只与偶阶谐波振幅有关,各阶谐波存在积累解,它的振幅与距离一次方成正比的。应用已发表的波谱测量数据对Berea砂石样品的2~5阶非线性系数做了计算。结果表明,2阶和3阶非线性系数的符号为负,4阶和5阶非线性系数的符号为正。由于非线性系数与声场频谱测量的精度密切相关,本文认为对测得的声场频谱需要作探针接收器灵敏度和测量位置变化的修正。     

Electromagnetic waves in isotropic and gyrotropic media

Maxwell’s equations are considered for waves in transparent inhomogeneous anisotropic and gyrotropic media with time dispersion. A uniaxial inhomogeneous crystal is taken for an anisotropic medium and an isotropic heterogeneous medium in a constant electric field for a gyrotropic medium. The solutions for flat-layered and cylindrical media are presented in terms of Hertz potentials. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 3, pp. 82–86, March, 2008.     

Imaging performance of an isotropic negative dielectric constant slab

The influence of material and thickness on the subwavelength imaging performance of a negative dielectric constant slab is studied. Resonance in the plane-wave transfer function produces a high spatial frequency ripple that could be useful in fabricating periodic structures. A cost function based on the plane-wave transfer function provides a useful metric to evaluate the planar slab lens performance, and using this, the optimal slab dielectric constant can be determined.     

Pulse transmission through an interface between linear and resonance media

The problem of transmission of an optical pulse through an interface between linear and resonance media is addressed. Parameters of the transmitted and reflected waves versus the parameters of the incident wave are obtained. The amplitude and speed of the transmitted wave for an incident wave in the form of a soliton are calculated.     

Electroinduced anisotropy of acoustical properties of isotropic media

The possibility of observing a new acoustical effect related to the variation in the potential of the intermolecular interaction in an external electric field is estimated. It is shown that the effect can be used for coherent amplification of sound.