Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684 -1719. 2020. No. 8

Full text in Russian (pdf)

Russian page


DOI https://doi.org/10.30898/1684-1719.2020.8.6

UDC 621.371+537.87


Near-field microwave sounding of nonlinear subsurface targets


K. P. Gaikovich 1, A. I. Smirnov 2,3, Ye. S. Maksimovitch 4, V. A. Badeev 4 

1 Institute for Physics of Microstructures of RAS, GSP-105, Nizhny Novgorod, 603950, Russia

2 Institute of Applied Physics of RAS, 46 Ul'yanov Street, Nizhny Novgorod, 603950, Russia

3 Lobachevsky State University of Nizhny Novgorod, 23, Prospekt Gagarina, Nizhny Novgorod, 603950, Russia

4 Institute of Applied Physics NAN of Belarus, Academicheskaya, 16, Minsk, 220072, Belarus

The paper is received on August 5, 2020


Abstract. A new method of the near-field sounding of subsurface inhomogeneities with nonlinear response on harmonics of the probing signal is propoded. This method is based on the solving the near-field inverse scattering problem.  For the retrieval of the subsurface structure of complex permittivity and nonlinear susceptibility we used  data of multifrequency or pulse measurements obtained with the scanning transceiver system operating in the bistatic configurationd. In this paper, results of sounding with the pulse mono-sinus signal of silicon targets in the sand medium are demonstrated.

Key words: tomography, holography, dielectric, nonlinear media, near-field microwave diagnostics.


1.     Gaikovich K.P. Subsurface near-field scanning tomography. Phys. Rev. Letters. 2007. Vol.98. No.18. P.183902.

2.     Gaikovich K.P., Gaikovich P.K. Inverse problem of near-field scattering in multilayer media. Inverse Problems. 2010. Vol.26. No.12. P.125013.

3.     Gaikovich K.P., Gaikovich P.K., Maksimovitch Ye.S., Badeev V.A. Pseudopulse near-field subsurface tomography. Physical Review Letters. 2012. Vol.108. No.16. P.163902.

4.     Gaikovich K.P., Gaikovich P.K., Maksimovitch Ye.S., Badeev V.A. Subsurface near-field microwave holography. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing. 2016. Vol.9. No.1. P.74-82.

5.     Gaikovich K.P., Gaikovich P.K., Maksimovitch Ye. S., Smirnov A.I., and Sumin M.I. Dual regularization in non-linear inverse scattering problems. Inverse Problems in Science and Engineering. 2016. Vol. 24. No.7. P.1215–1239.

6.     Gaikovich K.P., Maksimovitch Ye.S., Sumin M.I. Inverse scattering problems of near-field subsurface pulse diagnostics. Inverse Problems in Science and Engineering. 2018. Vol.26. No.11. P.1590-1611.

7.     Gaikovich K.P., Smirnov A.I. Inverse problems of low-frequency diagnostics of the Earth’s crust. Radiophysics and Quantum Electronics. 2015. Vol. 58. No.6. P.428-442

8.     Gaikovich K.P. Left-handed lens tomography and holography. Inverse Problems in Science and Engineering. 2018. https://doi.org/10.1080/17415977.2018.1552953.

9.     Gorbachev A.A. Probing Media with Nonlinear Inclusions by Electromagnetic Waves. Journal of Communications Technology and Electronics. 1996. Vol.41. No.2. P.137-141.

10.  Musabekov P.M., Panichev S.N.  Nonlinar radar: methods, technics and ranges of application. Zarubezhnaya electronica ‒ Foreign Radio Electronics. 200. No.5. P.54-60.

11.  Moss D.J., Ghahramani E., Sipe J.E., van Driel H.M. Band-structure calculation of dispersion and anisotropy in in χ→(3) for third-harmonic generation in Si, Ge, and GaAs. Phys. Rev. B. Condens. Matter. 1990. Vol.41. No.3. P.1542-1560.

12. Chefonov O.V., Ovchinnikov A.V., Agranat M.B., Fortov V.E., Efimenko E.S., Stepanov A.N., Savel'ev A.B. Nonlinear transfer of an intense few-cycle terahertz pulse through opaque n-doped Si. Phys. Rev. B. 2018. Vol.98. P.165-206.

13. Narkowicz R., Siegrist M.R., Moreau Ph., Hogge J.P., Raguotis R., Brazis R. Third-Order Susceptibility of Silicon Crystals Measured with Millimeter-Wave Gyrotron.  Acta Physica Polonica. 2011. Vol.119. No.4. P.509-513.


For citation:

Gaikovich K.P., Smirnov A.I., Maksimovitch Ye.S., Badeev V.A. Near-field microwave sounding of nonlinear subsurface targets. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No. 8. https://doi.org/10.30898/1684-1719.2020.8.6 (In Russian)