正版 雷达与控制系统中波动场的分形学及其应用(英文版)(精)

Chapter 1 The Theory of Functionals of Stochastic Backscattered Fields
1.1 Introduction
1.2 The angular spectrum of wave fields
1.3 The angular spectrum of modulated waves
1.4 Simulation of the spatial-temporal structure of the field scattered by a statistically rough anisotropic surface: a mathematical
model taking into accout the effect of an antenna
1.5 Generalized frequency response of a scattering radio channel
1.6 Generalized correlator of fields scattered by a statistically rough anisotropic surface
1.7 Generalized correlator of anisotropieally scattered fields for the Gaussian pattern of the antenna
1.8 Normalized generalized correlator of fields scattered by a statistically rough anisotropic surface
1.9 Spatial correlations of stochastic backscattered fields
1.10 Frequency coherence functions of stochastic backscattered fields ."
1.11 Calculation and analysis of the frequency coherence functions of millimeter-wave sto-chastic backseattered fields
1.12 Frequency coherence band of a spatial-temporal microwave probing radar channel
1.13 Radar measurements of the characteristics of a rough surface and of a flights altitude according to the frequency coherence
function
1.14 The kernel of the generalized ambiguity function and a measure of noise immunity in- volved in radar probing of a rough
surface and extended targets
1.15 Formalism of high-order correlators and bispectra in the wave theory and multidimensional-signal precessing
1.16 The effect of irregularities of a scattering surface on the structure of reflected signals
1.17 The effect of a fractal scattering surface on the structure of reflected signals
1. 18 The effect of hydrometeors on radar imaging
1. 19 Radiophysical model of formation of reference detailed digital radar maps of terrain in the MMW band
1.20 A radiophysical method of DDRM synthesis based on the theory of fractals
1.21 Indicatrices of millimeter-wave scattering by a fractal surface
1.22 Conclusions
Chapter 2 Strong Large Deviations Principles of Non-Freidlin-WentzeU Type. Opti-mal Control Problem with Imperfect Information.
Jumps Phenomena in Financial Markets
2. 1 Introduction
2.2 Proposed approach
2. 3 Homing missile guidance with imperfect measurements capable to defeat in conditions of hostile active radio-electronic
jamming
2.4 Jumps in financial markets
2.5 Comparison of the quasi classical stochastic dynamics obtained by using saddle-point approximation with a non-perturbative
quasi classical stochastic dynamics obtained by using SLDP
2.6 Strong large deviations principles of Non-Freidlin-Wentzell type
2.7 Conclusions
Chapter 3 Exact Quasi-Classical Asymptotic Beyond Maslov Canonical Operator and Quantum Jumps Nature
3.1 Introduction
3.2 Colombeau solutions of the Schrt~dinger equation and corresponding path integral rep-resentation
3.3 Exact quasi-classical asymptotic beyond Maslov canonical operator
3.4 Quantum anharmonic oscillator with a cubic potential supplemented by additive sinu-soidal driving
3.5 Comparison exact quasi-classical asymptotic with stationary-point approximation
3.6 Conclusions
Chapter 4 Creation and Development of Fractal-Scaling or Scale-Invariant Radiolo-cation for Detection and Recognition of Low-
Contrast Targets Against the Background of High Intensity Earth and Sea Disturbances
4. 1 Introduction
4.2 Necessity of new solution methods of modem radio physical and radar problems
4.3 Textural measures in radio physics and radiolocation
4.4 Non-Gaussian statistics, fraetal-sealing methods, invariants and fractional measurers in radio physics and radiolocation
4.5 First fraetal detectors of weak radar signals
4.6 Creation of breakthrough fractal scaling technologies and fractal radio systems
4.7 About fractal-scaling or scale-invariant radiolocation and its modem applications
4.8 Conception of fractal radio elements (fractal capacitor) , and fraetal antennas
4. 9 Processing of images obtained from unmanned aerial vehicles in the regime of flight over inhomogeneous terrain with fractal-
sealing and integral methods
4. 10 Strategic directions in synthesis of new topological radar detectors of low-contrast tar- gets against the background of high-intensity noise from the ground, sea and the fall of rain
4. 11 Postulates of fractal radar and cognitive radar in fractal-scaling design
4. 12 Officially accepted results of fractal investigations
4. 13 Personal meetings with Benois Mandelbrot
4. 14 Conclusion
Chapter 5 Multiple Scattering of Waves in Fractal Discrete Randomly- Inhomogeneous Media from the Point of View of
Radiolocation of the Multiple Targets
5.1 Introduction
5.2 A classical solution
5.3 Statistical averaging for the case of discrete scatterers
5.4 The Foldy-Tversky basic integral equation for a coherent field
5.5 Tversky integral equation for the correlation function
5.6 Coherent field
5.7 Fractal discrete randomly inhomogeneous media
5.8 Modification of the classical Foldy-Tversky theory for fractal discrete randomly inho-mogeneous media
5.9 Radar equation in two perfect cases of probing
5.10 Wave scattering in a fractal medium: First numerical simulation
5.11 Wave scattering in a fractal medium and the radar equation
5.12 "Thermodynamics" of clusters of unmanned aerial vehicles
5.13 Conclusions
Chapter 6 Examples of Fractal Devices and Their Theory
6. 1 Introduction
6.2 Theoretical foundations of the created fractal-scaling methods
6.3 Fractal labyrinths as fractal broadband antennas development base
6.4 Nanostructures and fractals
6.5 Fractal photon and magnon crystals
6. 6 Fractal signatures in problems of estimation of microrelief of processed surfaces
6.7 Fractal memristor
6. 8 Fractal oscillator with fractional differential positive feedback
6.9 Nonstationary regimes in electric circuits with ferroelectric negative capacitance
6. 10 Harmonic distorsions in an oscillatory circuit with a ferroelectric capacitor with nega-tive capacitance
6. 11 Generators of chaotic electrical oscillations on basis of ferroelectric capacitor with a negative capacitance
6. 12 On promising trends of research on fractals and textures
6. 13 A new direction in the theory of statistical solutions and in statistical radio engineering
6. 14 Conclusion
References
Appendix A
Appendix B

这本书专门讨论雷达、分形和超宽带电磁脉冲(EMP)的探测问题。本书基于一种新的时域场计算分析方法，该方法允许从复杂结构的邻区和远区确定电磁场。将所建立的数学体系应用于电磁脉冲仿真器的场计算和线喇叭天线、阵列天线和反射器天线的脉冲辐射计算可得出确定任意形状导电体的可多裂张量的方法。本书还提出了一种新的非弗里德林-温特泽尔型大偏差原理(SLDP)，给出了二维薛定谔方程柯伦坡解的精确拟经典渐近性，超越了wkb理论和马斯洛夫正则算子。这本书是写给工程师和研究人员处理雷达分形问题，非平稳电磁辐射和电磁兼容性。