An optical rotation sensor based on dispersive slow-light medium

Slow light supported by electromagnetically induced transparency effect in dispersive medium is extremely susceptible with respect to Doppler detuning.In this paper,the Doppler effect induced by rotating dispersive medium was considered and the effect of the velocity of rotating dispersive medium on the group velocity was studied.Based on a dispersive slow-light medium,a high sensitive optical rotation sensor for measuring absolute rotation is proposed and analysed.The sensitivity of the rotation sensor is the group delay between the counterpropagationed wave packets in the device,and scales directly with square of the group index which can reach 10 2-10 8 orders of magnitude by selecting a proper dispersive medium.     

一维对称光子晶体的简正耦合模

对一维对称光子晶体中的色散介质采用洛仑兹振子模型,通过考虑色散介质层两侧的边界条件,得到了表征色散介质层的转移矩阵.对线性层及色散δ层均采用传输矩阵的方法,研究了一维含色散介质的光子晶体微腔中的简正耦合模.由于光与色散介质的相互作用,纵腔模将分裂成简正耦合模.通过改变色散介质的相关参数,详细研究了简正耦合模频率的移动、均匀展宽效应和失谐效应.发现两个简正的耦合模的频率间距主要依赖于振子的耦合强度,与约化的振子的HWHM线宽无关.失谐效应则会使其中的一个峰降低,而另一个峰相对拉高,这一现象可以通过Fabry-Pérot腔得到很好的解释.     

Implications of spectral hole burning on the manipulation of spatial Goos–Hänchen shift in an atomic cell

We present a new scheme to report on Goos–Hänchen (GH) shift experienced by the Gaussian light beam interacting with an optical cavity filled with four-level sodium atomic medium in the spectral hole burning region with and without Doppler broadening effect. Theoretical atomic density-matrix formalism is employed to obtain the susceptibility of atomic medium while the stationary-phase-theory is used to compute the GH shift in the reflected and transmitted probe beams subjected to control fields. A steep normal slope of dispersion is observed with a maximum and zero probability of transmission and reflection coefficients, respectively, at the regions of the spectral holes burning. In the normal dispersion spectrum at the region of spectral hole burning, positive and negative GH shift is observed, respectively, in the transmitted and reflected light beams. However, at anomalous dispersive regions negative GH shift in the transmission beam and positive GH shift in the reflection beam is observed. The reflection and transmission coefficients as well as the spatial GH shift are the functions of probe detuning, collective phase of control fields, beam incident angle and inverse Doppler broadening effect in the spectral hole burning region. The position and number of spectral holes also depend on the same spectral parametrs as stated above. The study is expected to be useful for optoelectronic devices and optical-clocking applications.     

含色散介质的一维光子晶体微腔的光学特性和模式调节

采用时域有限差分(FDTD)法计算了含色散介质一维光子晶体微腔的透射谱,研究了缺陷模的频移特性。通过与无色散光子晶体微腔透射谱相比较,发现了介质色散导致的缺陷模频移现象,并详细地分析了中心频率、色散强度和衰减系数等色散介质参量和缺陷模频移的依赖关系。模拟结果显示,缺陷模的频移决定于中心频率、色散强度和衰减系数等色散介质参量的大小,通过合理的调节这些参量,可以有效地调节缺陷模的频率。     

Wide-band SAW dispersive filter with a flat amplitude response

It is shown, that a dispersive delay line of a flat amplitude-frequency characteristic in the passband can be synthesized by using the method proposed in reference 1. Such a delay line can be applied in a chirp pulse compression system that exhibits lower side-lobe sensitivity to the Doppler frequency shift of the radar signal.     

Transformation of a Gaussian pulse reflecting from a nonlinear medium

The transformation of the envelope of a Gaussian pulse incident on and reflecting from a nonlinear dispersive medium is studied. It is shown that the pulse envelope transforms considerably upon reflection near the optical resonance frequency and the nonlinearity of the medium may appreciably distort the reflected pulse. Away from the resonance frequency, conditions may arise when the shift of the reflected pulse does not lead to the loss of the Gaussian form. In this case, the influence of nonlinearity is insignificant.     

Transformation of electromagnetic radiation by rapidly moving inhomogeneities of a transparent medium

A theory of reflection and transmission of electromagnetic radiation by inhomogeneities of the parameters of a static transparent medium moving at the velocity of light is developed. Expressions are obtained for the Doppler frequency shift of radiation; it turns out that, under the condition of pronounced frequency dispersion, the frequency of incident radiation corresponds to two frequencies of reflected radiation (complementary waves). It is found that, as the velocity of an inhomogeneity tends to the phase velocity of radiation in the medium, the reflection and transmission coefficients of radiation by the inhomogeneity indefinitely increase. It is shown that the electromagnetic radiation frequency may increase severalfold, with a transformation coefficient of about unity, due to the Doppler shift by the inhomogeneities of a nonlinear medium that are induced by pulses (solitons) of intense counterpropagating radiation.     

Love waves excited by a moving source

The study analyzes the characteristics of surface Love waves excited by the moment of an oscillating torsional force with a point of action that moves uniformly and rectilinearly along the free flat boundary of a medium having the structure of a “layer on a half-space.” The azimuthal–angular distribution of the amplitude and Doppler shift in frequency of the wave modes is studied as a function of the motion velocity of a vibrating source and the parameters of the medium.     

The doppler frequency shift caused by the inhomogeneities of a medium induced by pulses of intense laser radiation

Self-reflection of pulses of intense laser radiation from an inhomogeneity induced by them in a medium with fast optical nonlinearity is analyzed. The reflected radiation is characterized by a considerable Doppler shift and by a signal magnitude that is sufficient for experimental detection.     

Mode interactions of a single field laser

Interactions of single mode, counterpropagating laser fields in a gaseous, high gain, inhomogeneously broadened medium were investigated as a function of frequency. Large deviations (50%) from empty resonator frequencies indicate very strong coupling between the single operating TEM_00q mode and the dispersive medium. Magnitude of the frequency shift was determined with heterodyne detection by comparing the laser field to a reference laser stabilized at the transition line center. Comparison of experimental results and theoretical models provide a set of resonant dispersion parameters which define the medium in the presence of the optical field.     

Doppler shift of a laser pulse beam scattered by a rotating cone and cylinder

Based on laser radar equations, a Doppler shift model of a laser pulse beam scattered by a rotating arbitrary convex target is reported in this paper. The boundary relations between an incident pulse beam and the detected area elements are analyzed by geometric methods. The Doppler shift characteristics of the rotating cone and cylinder are discussed and the difference between the laser pulse beam and the plane wave scattered from the same rotating target is compared accordingly. Numerical simulations show that the Doppler shift is tightly relevant to their dimensions, speeds, and so on. In the same incidence conditions, the pulse beam and plane wave have difference peak values and the same Doppler shift bandwidth. If the waist radius of the pulse beam is larger, the peak value is higher, and the Doppler shifts are proportional to the speed of the rotating target. By virtue of our theoretical model, we probe into the scattered characteristics of the Doppler shifts of a laser pulse beam, which would benefit target identification in national defense.     

SO-FDTD Analysis on Magnetized Plasma

In this paper, a novel finite-difference time-domain (FDTD) method with recursive relationships among operators is developed for magnetized dispersive medium, named as the shift operator FDTD(SO-FDTD). The dielectric property of magnetized dispersive medium is written as rational polynomial function, the relationship between D and E is deduced in time-domain. And its high accuracy and efficiency are verified by calculating the reflection and transmission coefficients of electromagnetic waves through a collision plasma slab.     

Steady-state formulation of optical bistability for a Doppler-broadened medium in a Fabry-Perot

A two-level model for absorptive and dispersive bistability in a Fabry-Perot is described. Doppler broadening and the effects of atomic motion through the standing wave field are included. Numerical results illustrating saturation of the Doppler line are presented and bistable transmission characteristics are obtained for systems with varying degrees of Doppler broadening.     

Smoothing effect in the broadband laser through a dispersive wedge

The propagation expression of a broadband laser passing through a dispersive wedge is derived on the basis of the Huygens-Fresnel diffraction integral. Smoothing effects caused by the phase perturbation of the dispersive wedge on the intensity profiles are investigated in detail. The phase perturbation of the dispersive wedge induces a relative transverse position shift between the diffraction patterns of different frequency components. The relative transverse position shift is of great benefit to the fill of the intensity peaks of some patterns in the valleys of others when these patterns are overlapped and thus the smoothing effect is achieved.     

含色散介质的一维光子晶体微腔中简正耦合模的物理图像

对一维光子晶体中的色散介质采用洛伦兹振子模型,对线性层及色散δ层均采用传输矩阵的方法,研究了一维含色散介质的光子晶体微腔中的简正耦合模.通过改变洛伦兹振子和微腔之间的失谐频率,分析了简正耦合模频率的变化情况.在失谐频率比较大时,光与洛仑兹振子间的耦合作用较小,简正耦合模中的一个接近腔模频率,而另一个则接近洛仑兹振子的共振频率;在失谐频率比较小时,光与洛仑兹振子间的耦合作用较大,简正耦合模与未耦合的腔模频率和洛仑兹振子的共振频率之间的差别较为明显.最后通过引进该结构的复有效折射率,对含色散介质的系统,由于带隙中间的共振模被湮灭并分裂为左右两个耦合模,其复有效折射率虚部在原共振峰处跃变为一较大值,而在新生成的两个耦合模附近趋近于零,光与色散介质相互耦合而形成的腔极化激元的物理图像十分清晰.     

一种基于数字信号处理技术的改进通用色散介质移位算子时域有限差分方法

借鉴数字信号处理技术中的无限脉冲响应滤波器实现的思想,提出一种适用于通用色散介质的改进移位算子时域有限差分（shift operator finite-difference time-domain,SO-FDTD）方法.与原SO-FDTD方法相比,改进的SO-FDTD方法内存占用减少33%以上,同时计算时间也有所减少.最后通过一阶、二阶色散介质雷达散射截面计算验证了方法的通用性和有效性. 关键词： 时域有限差分 色散介质 移位算子     

Planar near-field acoustical holography in a moving medium

Near-field acoustical holography (NAH) is a well-established method to study acoustic radiation near a stationary sound source in a homogeneous, stationary medium. However, the current theory of NAH is not applicable to moving sound sources, such as automobiles and trains. In this paper, the inclusion of a moving medium (i.e., moving source and receiver) is introduced in the wave equation and a new set of equations for plannar NAH is developed. Equations are developed for the acoustic pressure, particle velocity, and intensity when mean flow is either parallel or perpendicular to the hologram plane. If the source and the measurement plane are moving at the same speed, the frequency Doppler effect is absent, but a wave number Doppler effect exists. This leads to errors when reconstructing the acoustic field both towards and away from the source using static NAH. To investigate these errors, a point source is studied analytically using planar NAH with flow in one direction. The effect of the medium moving parallel to the hologram plane is noted by a shift of the radiation circle in wave number space (k-space). A k-space Green's function and a k-space filter are developed that include the effects of the moving medium.     

Dispersive medium’s normal coupled modes and low threshold optical bistability in a symmetric one-dimensional photonic crystal

We present a detailed study of the dispersive medium’s normal coupled modes in a symmetric one-dimensional photonic crystals (1D PCs). The splitting, homogeneous broadening effect, and the detuning effect of the normal coupled modes can be well controlled by adjusting the parameters of the dispersive medium. The bistable behavior of the PCs with Kerr medium is also investigated and it is found that the threshold intensity of nonlinear optical bistability (OB) of 1D PCs with dispersive medium is much lower than that of structure without dispersive medium. The threshold intensity is strikingly sensitive to the coupling strength of the dispersive medium.     

Sharing a Common Origin Between the Rotational and Linear Doppler Effects

The well‐known linear Doppler effect arises from the linear motion between source and observer, while the less well‐known rotational Doppler effect arises from the rotational motion. Here, we present both theories and experiments illustrating the relationship between the rotational and linear Doppler effects. A spiral phaseplate is used to generate a light beam carrying orbital angular momentum and the frequency shift is measured arising from its rotational and/or linear motion. By considering either the motion‐induced time‐evolving phase or the momentum and energy conservation in light‐matter interactions, we derive the rotational Doppler shift, linear Doppler shift, and overall Doppler shift associated with rotational and linear motions. We demonstrate the relationship between rotational and linear Doppler shifts, either of which can be derived from the other effect, thereby illustrating their shared origin. Moreover, the close relationship between rotational and linear Doppler effects is also deduced for a more general moving rough surface.     

Measurement of the Doppler Frequency Shift on Individual Rays Using a Chirp Ionosonde

We develop theoretically a method for determining the Doppler frequency shift on individual rays in ionospheric sounding. The method is based on using periodic chirp signals. The potential resolution and range of the measured Doppler-shifted frequencies are determined. Application of this method yields the relationship between the Doppler shift of the propagation-mode frequency and the velocity of a horizontal displacement of the hop tops along the Khabarovsk-Yoshkar-Ola radio path. Significant correlations between the mode order in the ionosphere and the Doppler shift, Doppler-spectrum width, and stationarity time of the propagation channel are found.