Introduction to the Theory of Radiopolarimetric Navigation Systems, 1st ed. 2020
Springer Aerospace Technology Series


Language: Anglais
Publication date:
362 p. · 15.5x23.5 cm · Hardback
The book highlights three types of technologies being developed for autonomous solution of navigation problems. These technologies are based on the polarization structure, ultra-broadband and the fluctuation characteristics (slow and fast) of the radiolocation signals. The book presents the problems of intrinsic thermal radio emission polarization and change in radio waves polarization when they are reflected from objects with non-linear properties.

The purpose of this book is to develop the foundations for creating autonomous radionavigation systems to provide aviation with navigation systems that will substantially increase its capabilities, specifically acting where satellite technologies do not work. The book is intended for specialists involved in the development and operation of aviation-technical complexes, as well as for specialists of national aviation regulators and ICAO experts dealing with the problems of improving flight safety.



            1. Radiophysical provision of radiopolarimetric navigation systems. 

       1.1. Basic concepts and definitions of radiopolarimetry.

            1.2. Interconnection and comparison of different forms of signals polarization state in radiopolarimetric navigation systems.

            1.3. Polarization bases used to analyze the signals.

1.3.1. Expansion of polarized radionavigation systems signals in orthogonal polarization bases.

1.3.2. Expansion of polarized radionavigation systems signals in affine polarization bases.

            1.4. Basic characteristics of probability representations of the signals polarization structure.

     1.5. Quaternion representation of the signals  polarization state in navigation systems.


2. Analysis of the signals polarization of radiopolarimetric navigation systems using coordinate components

       2.1. Quadrature components

                        2.1.1. Basic properties and transformations

                        2.1.2. Probabilistic descriptions

            2.2. Complex components

                        2.2.1. Basic properties and transformations

                        2.2.2. Probabilistic description The Gaussian case.

                        2.2.3. Approximation of probabilistic models.

                   2.2.4. Probabilistic description. The Non-Gaussian case.

2.3. Coordinate components with broadband signals.

2.4. The representation of the ultra-broadband signals polarization state of navigation systems.

3. Analysis of the signal polarization state of navigation systems based on energy characteristics.

            3.1. The Coherence matrix

                        3.1.1. Basic properties and transformations

                        3.1.2. Probabilistic description

            3.2. The Stokes parameters

                        3.2.1. Basic properties and transformations

                        2.2.3. Probabilistic description The Gaussian case.

                        3.2.3. Probabilistic description The Non-Gaussian case.

            3.3. The Loss matrix

                        3.3.1. Basic properties and transformations

                        3.3.2.  Influence of spectral characteristics of radio waves on their polarization properties.

4. Analysis of the signal polarization of navigation systems in the plane of 

geometrical parameters

            4.1.  Polarization phasor

                        4.1.1. Basic properties and transformations

                        4.1.2. Probabilistic description The Gaussian case.

                        4.1.3. Probabilistic description The Non-Gaussian case.

            4.2.  Polarization ellipse

                        4.2.1. Probabilistic description The Gaussian case.

                        4.2.2. Probabilistic description The Non-Gaussian case.

5. Graphic representations of the signal polarization state in navigation systems

            5.1. Features of graphical representations

            5.2. Representation of polarization in cylindrical and stereographic projections

5.3. Representation of radio waves polarization in cartographic projections of the Poincaré sphere

            5.4. Representation of polarization of thermal radio emission

            5.5. Representation of polarization state on the plane.

5.6. Representation of polarization state of ultra-broadband and complex signals. 



6. Scattering matrix and its basic properties

6.1. Scattered field and its characteristics

6.2. Stable objects of navigational observation

6.2.1. Complete scattering matrix

6.2.2. Single-position scattering matrix

6.2.3. Two - and multiple position scattering matrix

6.2.4. Scattering matrix in the affine polarization bases

6.3. Objects of navigational observation with non-linear characteristics

6.3.1. Non-linear scattering

6.3.2. Scattering matrix on non-linear reflectors 

6.3.3. Effective scattering are of non-linear reflectors

6.3.4. Basic equality of non-linear radiolocation

6.4. Fluctuating objects

7. Own radio emission and scattering of radio waves

7.1. Reflection from the stable reflecting objects

7.2. Reflection from the fluctuating objects

                        7.2.1. The Graves matrix and the covariance matrix

                        7.2.2. Polarization expansion of the fluctuating object

                        7.2.3. Reflection of radio waves

            7.3. Formation of polarized emission by inhomogeneous media

8. Scattering of polarized radio waves from

surface structures and backgrounds of navigational observation

            8.1. Smooth electrically homogeneous medium

            8.2. Smooth electrically inhomogeneous medium

                        8.2.1. Common relations

                        8.2.2. Exponential layer

                        8.2.3. Quadratic layer

                        8.2.4. Polynomial layer

                        8.2.5. Linear layer

                        8.2.6. Parabolic layer

                        8.2.7. Matching layer

                        8.2.8. Transition layer

            8.3. The equation for scattering matrix elements

            8.4. Uneven surfaces

                        8.4.1. Electrodynamic models of uneven surfaces

                        8.4.2. The scattering matrix for model 1

                        8.4.3. The scattering matrix for model 2

                        8.4.4. The scattering matrix for model 3

                        8.4.5. The scattering matrix for model 4

                        8.4.6. Statistical characteristics of the scattering matrix elements

 of uneven surfaces

                        8.4.7. Statistical characteristics of electric parameters of radar targets.

                        8.4.8. KLL-sphere and its properties

                        8.4.9. Determination of electrophysical characteristics of observation objects with incomplete information on spatio-temporal state of radiolocation signals


9. Radiolocation in radiopolarimetry navigation systems

10. Definition of structure, target and background on results from radiopolarimetric measurements.

11. Results interpretation of the radiopolarimetric monitoring systems.

12. Radiopolarimetric structures of monitoring systems.






Zavalishin Oleg Ivanovich is the chief designer of research, development and production at Spektr LLC. He entered the Riga Institute of civil aviation engineers in 1973, graduated from G.V. Plekhanov People’s Economy Institute in Moscow with specialization in economic cybernetics in 1978. He has more than 30 scientific works, including 12 patents of the Federal Service for Intellectual Property on inventions and useful models in the field of radio engineering systems for satellite navigation, landing and flight safety enhancement systems. 

Kozlov Anatoliy Ivanovich is a Professor in the Department of Technical Operation of Radiotechnical Equipment for Air Transport. He graduated from the Moscow Institute of Physics and Technology with a degree in Radio Engineering (1962) and a postgraduate course at the same Institute, majoring in Mathematical Physics (1965). He defended his candidate’s thesis in 1965, and his doctoral dissertation in 1973. He is the author of about 300 scientific works, including 21 monographs, 25 textbooks and 13 patents for inventions of a number of radio engineering tools. As a scientific advisor and a scientific consultant he produced more than 70 candidates and Doctors of science. 

Logvin Alexander Ivanovich is a Professor in the Department of Navigation and Air Traffic Management, Moscow State Technical University of Civil Aviation. He graduated from the Kiev State University with specialization in Radio Physics (1966) and a postgraduate course at the Moscow State Technical N.E. Bauman University with specialization in Radiolocation and Radio Navigation (1965). He defended his candidate’s thesis in 1972, and his doctoral dissertation in 1987. He is the author of more than 500 scientific papers, including 10 monographs, 2 textbooks and 11 patents for invention of a number of radiotechnical means. 

Sarychev Valentin Aleksandrovich is a Professor and Deputy Chief Designer of Research and Production Enterprise

Highlights radio polarimetry and spatio-temporal processing of signals in order to improve the accuracy of navigation

Discusses different approaches to complex solutions of improving flight safety

Contributes to the development of optimized autonomous radionavigation systems