飞机激光雷达散射截面测量与分析

飞机激光雷达散射截面的测量,对于研究飞机激光散射特性以及评估探测系统至关重要.本文介绍了飞机激光雷达散射截面测量理论,设计了飞机激光雷达散射截面测量装置和测量方法,并通过实验验证了该装置与测量方法.在全尺寸真实飞机试验与测量过程中,通过对原始数据高斯补偿与背景修正,获得了误差小于7%的飞机激光雷达散射截面数据.实验结果表明,本文提出的飞机激光雷达散射截面测量与分析方法是正确的和有效的.     

背景散射对LRCS测量精度的影响分析

针对激光雷达散射截面的测量精度,指出测量中存在的背景散射问题。给出了激光雷达散射截面的测量方程,分析了地面、支撑架等背景散射对激光雷达散射截面测量精度影响的机理。根据测量方程和影响机理提出了敷设消光材料、多次比对测量、尺寸匹配等方法,并对敷设消光材料法进行了实验验证。实验表明：所用方法能够有效地减小背景散射,提高激光雷达散射截面的测量精度。     

激光雷达标准目标散射截面的研究

讨论了激光雷达散射截面的物理意义 ;给出了用双向反射分布函数来表示激光雷达散射截面的一般表达式 ;推出了在标准目标分别为点目标和扩展目标时激光雷达散射截面的解析表达式和数值表达式 ,并对入射光束在分别为高斯分布和均匀分布时的结果进行了分析     

Electromagnetic similitude and inconsistency of laser scattering for scale model

In this paper the electromagnetic similitudes for lossy and dispersive system are discussed. If both the geometric size of an object and incident wavelength are scaling-down simultaneously by analogy with microwave band, the inconsistencies exist for laser scattering in visible and near infrared bands. Another method of measurements and simulation for laser scattering in the geometric model is analyzed. That is, the geometric size of the object is only scaled down but the incident wavelength, material and configuration are keeping to not change. Although this way does not satisfy the principles of the electrodynamic similitude, it can overcome the electromagnetic inconsistencies for laser scattering. It is possible that the LRCS of the full-scale tested object are evaluated by those of the corresponding scaling-down model at identical frequency to establish theoretical models and data basis for LRCS of objects.     

Strong backscattering enhancement for partially convex targets in random media

Earlier work pointed out that the radar cross section (RCS), owing to the double-passage effect on waves propagating through random media, is enhanced by a factor ranging from one up to three. However, our study has manifested numerically a strong enhancement in RCS of targets with concave-convex surfaces in continuous random media, by taking account of boundary conditions of waves on targets. We have found that when a plane wave illuminates a convex portion of the concave-convex conducting target in a random medium, the factor of enhancement oscillates about two with target size. Moreover, this enhancement becomes quite large at certain target shapes and also under a specific condition of target size and spatial coherence length of the incident H-wave. The large enhancement is considered as an anomalous feature in the behaviour of backscattered waves in random media. By analysing the scattering problem for beam-wave incidence on the same target in free space, we manifest the mechanism of such anomalous enhancement.     

大气条件变化时的激光雷达散射截面测量方法

利用双光路探测研究了大气条件变化对外场目标激光雷达散射截面测量准确度的影响.将双光路探测应用于比对测量后,推导出了新的比对测量公式,进行了实验验证,并讨论了其适用条件.通过对漫反射板激光雷达散射截面的外场实测,结果表明:利用新的比对测量公式,不仅能有效减小测量过程中因大气条件变化带来的误差,提高测量准确度,而且计算过程较为简单;工程上易于实现.     

Transition on the relationship between fractal dimension and Hurst exponent in the long-range connective sandpile models

The relationships between the Hurst exponent H and the power-law scaling exponent B in a new modification of sandpile models, i.e. the long-range connective sandpile (LRCS) models, exhibit a strong dependence upon the system size L. As L decreases, the LRCS model can demonstrate a transition from the negative to positive correlations between H- and B-values. While the negative and null correlations are associated with the fractional Gaussian noise and generalized Cauchy processes, respectively, the regime with the positive correlation between the Hurst and power-law scaling exponents may suggest an unknown, interesting class of the stochastic processes.     

Backscattering enhancement for partially convex targets of large sizes in continuous random media for E-wave incidence

The shape of the target constitutes an important factor in the radar detection problem. In a previous study, the enhancement in the radar cross section (ERCS) has proved to be affected largely by the target parameters as well as the effects of the double passage and the spatial coherence length of incident waves around the target. However, the target size was limited to about less than one wavelength. Here, we estimate numerically the RCS of targets taking large sizes of more than three wavelengths, and analyse the characteristics of RCS. Moreover, we investigate the ERCS phenomenon of such targets under different circumstances of random medium and target configuration. In this regard, we assume partially convex targets in continuous random media and also horizontal incident wave polarization (E-wave incidence).     

Precursory phenomena associated with large avalanches in the long-range connective sandpile (LRCS) model

Reduction in b-values before a large earthquake is a very popular topic for discussion. This study proposes an alternative sandpile model being able to demonstrate reduction in scaling exponents before large events through adaptable long-range connections. The distant connection between two separated cells was introduced in the sandpile model. We found that our modified long-range connective sandpile (LRCS) system repeatedly approaches and retreats from a critical state. When a large avalanche occurs in the LRCS model, accumulated energy dramatically dissipates and the system simultaneously retreats from criticality. The system quickly approaches the critical state accompanied by the increase in the slopes of the power-law frequency-size distributions of events. Afterwards, and most interestingly, the power-law slope declines before the next large event. The precursory b-value reduction before large earthquakes observed from earthquake catalogues closely mimics the evolution in power-law slopes for the frequency-size distributions of events derived in the LRCS models. Our paper, thus, provides a new explanation for declined b-values before large earthquakes.     

Electromagnetic scattering from a continuously inhomogeneous random medium with cylindrical symmetry

Born's approximation is used to determine the mean value of the turbulent radar cross section (RCS) of an inhomogeneous cylindrical random medium at oblique incidence. The mean medium is taken into account by a renormalization procedure. Then, only the diffraction due to the fluctuating part of the permittivity has to be considered. The fluctuations are approximated by means of the turbulence spectrum given by Kolgomorov's theory. Furthermore, Maxwell's equations are solved in terms of fields rather than potentials. This leads us to a significant reduction of the linear system size which simplifies numerical calculations. It turns out that the fields which propagate in the mean medium are noticeably modified by that medium. Thus, the renormalization has a considerable effect on the assessment of the turbulent RCS of the wake. The influence of the direction of incidence on the RCS levels is also analysed. Finally, numerical results are given in order to compare calculations with experiment.     

Electromagnetic scattering from a continuously inhomogeneous random medium with cylindrical symmetry

Abstract

Born's approximation is used to determine the mean value of the turbulent radar cross section (RCS) of an inhomogeneous cylindrical random medium at oblique incidence. The mean medium is taken into account by a renormalization procedure. Then, only the diffraction due to the fluctuating part of the permittivity has to be considered. The fluctuations are approximated by means of the turbulence spectrum given by Kolgomorov's theory. Furthermore, Maxwell's equations are solved in terms of fields rather than potentials. This leads us to a significant reduction of the linear system size which simplifies numerical calculations. It turns out that the fields which propagate in the mean medium are noticeably modified by that medium. Thus, the renormalization has a considerable effect on the assessment of the turbulent RCS of the wake. The influence of the direction of incidence on the RCS levels is also analysed. Finally, numerical results are given in order to compare calculations with experiment.     

The effect of H-polarization on backscattering enhancement for partially convex targets of large sizes in continuous random media

In our previous work, we have proved that the spatial coherence length (SCL) of the incident waves around the target together with the target configuration play a leading role in the determination of the enhancement in the radar cross-section (ERCS) of a target in a random medium. Owing to the double-passage effect, the ERCS is almost two when the SCL is much smaller or larger than the target size. However, for a SCL comparable with the target size, the ERCS deviates from two, depending on the target parameters and the SCL. The last conclusion was proved only for E-polarization. The polarization of incident waves is one of the key parameters in scattering problems. In this work, we extend our study and investigate the effect of H-polarization on the radar cross-section and the ERCS for large-size targets.     

Backscattering from conducting targets in continuous random media for circular polarization

The polarization of incident waves is one of the key factors in radar detection and remote sensing problems. In a previous study, attention was drawn to the anomalous increase in the radar cross-section (RCS) of a target in a random medium that occurs with H-polarization. This large increase occurs with a small-size target and is attributed to the coupling between the direct and creeping waves. In this work, we aim to probe the effect of the creeping waves on the scattering waves for circular wave polarization and compare it with the previous results. Therefore, we can control the target detection by choosing the proper polarization, which does not lead to anomalous phenomena. In doing so, we present numerical results for RCS and analyse the characteristics of the enhancement in the RCS (ERCS) behaviour of targets in random media. In this regard, we assume partially convex targets of different configurations. We consider the case in which a directly incident wave is produced by a line source distributed uniformly along the axis parallel to the conducting cylinder (target) axis. Then we can deal with this scattering problem two-dimensionally under the condition of strong continuous random media with large local scale size.     

The effect of H-polarization on backscattering enhancement for partially convex targets of large sizes in continuous random media

Abstract

In our previous work, we have proved that the spatial coherence length (SCL) of the incident waves around the target together with the target configuration play a leading role in the determination of the enhancement in the radar cross-section (ERCS) of a target in a random medium. Owing to the double-passage effect, the ERCS is almost two when the SCL is much smaller or larger than the target size. However, for a SCL comparable with the target size, the ERCS deviates from two, depending on the target parameters and the SCL. The last conclusion was proved only for E-polarization. The polarization of incident waves is one of the key parameters in scattering problems. In this work, we extend our study and investigate the effect of H-polarization on the radar cross-section and the ERCS for large-size targets.     

任意形状凸粗糙物体高斯光束相干散射研究

研究了任意形状凸粗糙物体对高斯光束的相干散射特性。由平面波谱展开法推导出粗糙面高斯波束散射场表达式．并根据物理光学近似和稳相法原理得到相干散射截面的理论公式。与平面波解不同的是,在公式中引入了波束因子这一表征波束作用的重要参量,该参量与束腰半径、束腰中心与物体中心距离和物体照射面积以及入射、散射方向有关。最后数值计算了1．06μm激光波束对粗糙球的散射,分析了波束因子．介电常量和极化状态对红外激光相干散射截面的影响,重点讨论了波束因子的变化规律。分析表明．当波束半径远大于物体尺寸时,波束入射的结果可退化到平面波情况。     

Effect of the illumination region of targets on waves scattering in random media with H-polarization

This paper addresses some parameters that have a significant effect on wave scattering in random media. These parameters are: target configuration, including size and curvature; random media strength, represented in the spatial coherence length; and incident wave polarization. Here, I present numerical calculations for the radar cross-section (RCS) of conducting targets and analyze the backscattering enhancement with different configurations. I postulate a concave illumination region and consider targets taking large sizes of about five wavelengths. In this aspect, waves scattering from targets are assumed to propagate in free space and a random medium with H-polarization. This polarization produces what is well known as creeping waves which in turn have an additional effect on the scattering waves that is absent in the case of E-polarization.     

The impact of ice cloud particle microphysics on the uncertainty of ice water content retrievals

Ice water content (IWC) is a standard product of cloud radar measurements. In this work, cloud radar cross-sections of various ice clouds are modeled to examine the relationship between the radar signal and the IWC. We report that using backscatter signal at cloud radar wavelength to retrieve IWC results in large uncertainties. Particle size distribution is the primary cause for the uncertainty in the retrieved IWC at radar wavelengths, though particle shape and orientation also play significant roles. Particularly in this study, we demonstrate that using both transmitted waves through the clouds (extinction) and backscattered waves from the clouds to retrieve the mean particle size and then using the mean particle size for IWC retrieval reduces the uncertainty. IWC retrieval can be improved with size distribution derived from dual wavelength cloud radar.     

Scattering of Solar and Atmospheric Background Radiation from a Target

Light scattering property of environment is very important in theoretical study and application of the remote sensing. What's more, it is valuable for infrared radiation, imaging, and the detection of target and tracking. In this paper, solar and atmospheric background radiation, and their scattering property from target are discussed. BRDF (Biodirectional Reflectance Distribution Function) is a very important quantity that shows the radiation and reflection feature of target. According to electromagnetic radiant and scattering theories, the relationship between laser radar scattering cross section (LRCS) and BRDF is introduced. LOWTRAN model is an effective method of calculating the spectral distribution of solar and atmospheric radiation. Here it is applied to compute solar and atmospheric background radiation scattered from a target. The relative equations are deduced. Thus, the spatial and spectral distribution of scattering light is given. As a special example, for the Lambert's surface, the equations are simplified. As a result, the spatial and spectral distributions scattering radiation of solar and atmospheric background from a rough painted surface are present. The scattering of solar radiation plays a primary role in MIR region, but scattering of atmospheric background radiation is higher in LIR region. At the same time, there is obviously specular reflectance for solar radiation due to coherent scattering from rough surface.     

IR Properties of Randomly Sea Surfaces

Sea surfaces should be considered as randomly rough surfaces at the infrared(IR) and optical bands. The geometric model of sea surfaces has been obtained by using image processing. Based on the electromagnetic scattering theory, the Laser Radar Cross Section(LRCS) for the sea surfaces is analyzed at IR band and the scattering properties of the sea surfaces have been gotten.     

不同表面激光双向反射分布函数的实验研究

根据粗糙面电磁散射理论讨论了粗糙表面双向反射分布函数（ＢＲＤＦ）和单位面积激光雷达截面的关系。测量不同粗糙度金板、铝基、钢基和涂层样片在０．６３μｍ的双向反射分布函数。分析了高度起伏均方根δ，斜率起伏均方根ｓ，介电常数对双向反射分布函数的影响。最后，将部分粗糙样片的双向反射分布函数理论计算结果与实验数据比较，两者有良好的吻合。