350 rub
Journal Achievements of Modern Radioelectronics №1-2 for 2009 г.
Article in number:
Analytical Representation of Radiation 3D-Field in a Two-Layered Medium and the Inverse Problem of Georadar Sensing
Authors:
© Ye.A. Rudenchik, L.B. Volkomirskaya, A.Ye. Reznikov, V.I. Sakhterov
Abstract:
Integral representation for 3D radiation in flatten-layered and two-layered media are considered. For the two-layered medium, the field behaviur in the vicinity of dielectric remittance breaking is investigated, were the general integral representation is invalid. Good convergent analytical field representation in this domain are obtained. Expressions for the tangential component of a surface wave with respect to the two-dimensional analytical function at any parameters of the breaking are presented. Asymptotic expansions of the field at small distances to the antenna located at the media interface is obtained. These expansions allows us to eliminate singularity at numerical modeling of the field. Thus, necessary steps are made for the development of the current model taking into account a subsurface medium, that, is its turn, forms a new stage in the development of the algorithm for interpreting georadar data by the inverse problem method.
Pages: 29
References
  1. Гринев А.Ю, Гигало А.И. Обратные задачи подповерхностного зондирования, Вопросы подповерхностной радиолокации. Колл. монография / Под. ред. А.Ю. Гринева. - Радиотехника, 2005.
  2. Volkomirskaja L., Reznikov A., Ibragimow I. and Ibragimowa E.Investigation with GROT-12-3D Radars and Real Time Solution of 3D Ground-Penetrating Inverse Problem, GPR 2008, Birminghem, 15- 19 July 2008.
  3. Ibraghimov I., SVD-like Decomposition With Constrains. Preprint, no. 26, Saarland University, Saarbrucken, 2001.
  4. Jaravine V., Ibraghimov I., Orekhov V. Removal of a Time Barrier for High-Resolution Multidimensional NMR Spectroscopy. Nature Methods, 2006, vol. 3, no. 8, рр. 605- 607.
  5. Ibraghimov I. Sublinear Complexity of Krylov Subspace Method for the Kronecker Product Matrices. In press in N. Lin.Alg.Appl, 2009.
  6. Волкомирская Л.Б., Варенков В.В., Лобзина А.Н. и др. Основные особенности конструкции георадаров «ГРОТ-10» и «ГРОТ-11», опыт их эксплуатации и обработки данных // Колл. монография «Вопросы подповерхностной радиолокации». - М.: Радиотехника, 2005, с. 246-259.
  7. WU T.T. and King R.W.P. The Cylindrical Antenna with Nonreflecting Resistive Loading. -IEEE Trans. Antennas Propagat., 1965, vol. 13, p. 369.
  8. Rudenchik E.A., Volkomirskaya L.B. and Reznikov A.E. Investigation of the Propagation of Signals in One-Dimensional Electrodynamics for Interpretating Electromagnetic Sounding Data. Consideration of the Analytic Properties of Permittivity. ISSN1541-308X, Physics of Wave Phenomena, 2008, vol. 16, no. 1, pp,1-18, Allerton Press, Inc., 2008.
  9. Rudenchik E.A., Volkomirskaya L.B. and Reznikov A.E. Array Current Reconstruction by SurfaceWave Measurements. Two-Dimensional Approximation., ISSN1541-308X, Physics of Wave Phenomena, 2008, vol. 16, no. 3, pp.1-10, Allerton Press, Inc.,2008.
  10. Ландау Л.Д., Лившиц Е.М. Теория поля. - М.: Наука, 1967.
  11. Фихтенгольц Г.М. Курс дифференциального и интегрального исчисления. Т. 2. - М.: Наука, 1969. Прудников А.П., Брычков Ю.А., Маричев О.И. Интегралы и ряды. - М.: Наука, 1981.