Transionospheric Synthetic Aperture Imaging

  • Mikhail Gilman
  • Erick Smith
  • Semyon Tsynkov

Part of the Applied and Numerical Harmonic Analysis book series (ANHA)

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 1-17
  3. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 19-57
  4. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 59-161
  5. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 163-215
  6. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 217-264
  7. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 265-309
  8. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 311-371
  9. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 373-415
  10. Mikhail Gilman, Erick Smith, Semyon Tsynkov
    Pages 417-431
  11. Back Matter
    Pages 433-458

About this book


This landmark monograph presents the most recent mathematical developments in the analysis of ionospheric distortions of SAR images and offers innovative new strategies for their mitigation.  As a prerequisite to addressing these topics, the book also discusses the radar ambiguity theory as it applies to synthetic aperture imaging and the propagation of radio waves through the ionospheric plasma, including the anisotropic and turbulent cases. In addition, it covers a host of related subjects, such as the mathematical modeling of extended radar targets (as opposed to point-wise targets) and the scattering of radio waves off those targets, as well as the theoretical analysis of the start-stop approximation, which is used routinely in SAR signal processing but often without proper justification.

The mathematics in this volume is clean and rigorous – no assumptions are hidden or ambiguously stated. The resulting work is truly interdisciplinary, providing both a comprehensive and thorough exposition of the field, as well as an accurate account of a range of relevant physical processes and phenomena.


The book is intended for applied mathematicians interested in the area of radar imaging or, more generally, remote sensing, as well as physicists and electrical/electronic engineers who develop/operate spaceborne SAR sensors and perform the data processing. The methods in the book are also useful for researchers and practitioners working on other types of imaging. Moreover, the book is accessible to graduate students in applied mathematics, physics, engineering, and related disciplines.


Praise for Transionospheric Synthetic Aperture Imaging:

 “I perceive that this text will mark a turning point in the field of synthetic aperture radar research and practice. I believe this text will instigate a new era of more rigorous image formation relieving the research, development and practitioner communities of inconsistent physical assumptions and numerical approaches.” – Richard Albanese, Senior Scientist, Albanese Defense and Energy Development LLC


Earth's ionosphere Faraday rotation cold plasma dispersion of radio waves spaceborne imaging synthetic aperture radar (SAR)

Authors and affiliations

  • Mikhail Gilman
    • 1
  • Erick Smith
    • 2
  • Semyon Tsynkov
    • 3
  1. 1.MathematicsNorth Carolina State UniversityRaleighUSA
  2. 2.US Naval Research LaboratoryWashington, DCUSA
  3. 3.MathematicsNorth Carolina State UniversityRaleighUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Birkhäuser, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-52125-1
  • Online ISBN 978-3-319-52127-5
  • Series Print ISSN 2296-5009
  • Series Online ISSN 2296-5017
  • Buy this book on publisher's site