Vol. 85
Latest Volume
All Volumes
PIERC 129 [2023] PIERC 128 [2023] PIERC 127 [2022] PIERC 126 [2022] PIERC 125 [2022] PIERC 124 [2022] PIERC 123 [2022] PIERC 122 [2022] PIERC 121 [2022] PIERC 120 [2022] PIERC 119 [2022] PIERC 118 [2022] PIERC 117 [2021] PIERC 116 [2021] PIERC 115 [2021] PIERC 114 [2021] PIERC 113 [2021] PIERC 112 [2021] PIERC 111 [2021] PIERC 110 [2021] PIERC 109 [2021] PIERC 108 [2021] PIERC 107 [2021] PIERC 106 [2020] PIERC 105 [2020] PIERC 104 [2020] PIERC 103 [2020] PIERC 102 [2020] PIERC 101 [2020] PIERC 100 [2020] PIERC 99 [2020] PIERC 98 [2020] PIERC 97 [2019] PIERC 96 [2019] PIERC 95 [2019] PIERC 94 [2019] PIERC 93 [2019] PIERC 92 [2019] PIERC 91 [2019] PIERC 90 [2019] PIERC 89 [2019] PIERC 88 [2018] PIERC 87 [2018] PIERC 86 [2018] PIERC 85 [2018] PIERC 84 [2018] PIERC 83 [2018] PIERC 82 [2018] PIERC 81 [2018] PIERC 80 [2018] PIERC 79 [2017] PIERC 78 [2017] PIERC 77 [2017] PIERC 76 [2017] PIERC 75 [2017] PIERC 74 [2017] PIERC 73 [2017] PIERC 72 [2017] PIERC 71 [2017] PIERC 70 [2016] PIERC 69 [2016] PIERC 68 [2016] PIERC 67 [2016] PIERC 66 [2016] PIERC 65 [2016] PIERC 64 [2016] PIERC 63 [2016] PIERC 62 [2016] PIERC 61 [2016] PIERC 60 [2015] PIERC 59 [2015] PIERC 58 [2015] PIERC 57 [2015] PIERC 56 [2015] PIERC 55 [2014] PIERC 54 [2014] PIERC 53 [2014] PIERC 52 [2014] PIERC 51 [2014] PIERC 50 [2014] PIERC 49 [2014] PIERC 48 [2014] PIERC 47 [2014] PIERC 46 [2014] PIERC 45 [2013] PIERC 44 [2013] PIERC 43 [2013] PIERC 42 [2013] PIERC 41 [2013] PIERC 40 [2013] PIERC 39 [2013] PIERC 38 [2013] PIERC 37 [2013] PIERC 36 [2013] PIERC 35 [2013] PIERC 34 [2013] PIERC 33 [2012] PIERC 32 [2012] PIERC 31 [2012] PIERC 30 [2012] PIERC 29 [2012] PIERC 28 [2012] PIERC 27 [2012] PIERC 26 [2012] PIERC 25 [2012] PIERC 24 [2011] PIERC 23 [2011] PIERC 22 [2011] PIERC 21 [2011] PIERC 20 [2011] PIERC 19 [2011] PIERC 18 [2011] PIERC 17 [2010] PIERC 16 [2010] PIERC 15 [2010] PIERC 14 [2010] PIERC 13 [2010] PIERC 12 [2010] PIERC 11 [2009] PIERC 10 [2009] PIERC 9 [2009] PIERC 8 [2009] PIERC 7 [2009] PIERC 6 [2009] PIERC 5 [2008] PIERC 4 [2008] PIERC 3 [2008] PIERC 2 [2008] PIERC 1 [2008]
2018-06-28
Parameter Estimation of an Inhomogeneous Medium by Scattered Electromagnetic Fields Using Nonlinear Optics and Wavelets
By
Progress In Electromagnetics Research C, Vol. 85, 35-50, 2018
Abstract
The aim of this work is to study the parameter estimation of a nonlinear medium in terms of scattered electromagnetic fields.The surface parameters are defined in terms of linear and nonlinear components of susceptibility and permeability. A set of Maxwell's equations are derived for an inhomogeneous medium using Green's function and the scattered Electromagnetic fields solving integrodifferential equations. Mathematical formulas are simplified using wavelet based method. Susceptibility and permeability is assumed as a function of wavelet basis. For parameter estimation, least square method and inner product methods are used with wavelets as a basis function, which gives solutions for nonlinear integrodifferential equation. Both time and spatial domain analysis is done using wavelets, and parameter coefficients are obtained. It is found that in both the parameter estimation methods, least square estimation gives better results. At the end of the paper statistical analysis of the scattered signals is included by calculating the mean and covariance of the signals.
Citation
Manisha Khulbe Harish Parthasarathy Malay Ranjan Tripathy , "Parameter Estimation of an Inhomogeneous Medium by Scattered Electromagnetic Fields Using Nonlinear Optics and Wavelets," Progress In Electromagnetics Research C, Vol. 85, 35-50, 2018.
doi:10.2528/PIERC18042103
http://www.jpier.org/PIERC/pier.php?paper=18042103
References

1. Seema, N., A. Sabouni, T. Desell, and A. Ashtari, Microwave Tomography, Global Optimization Parallelization and Performance, Springer, 2014.

2. Gao, J. K., Y. L. Qin, B. Deng, H. Q. Wang, J. Li, and X. Li, "Terahertz wide angle imaging and analysis on plane wave criteria based on inverse synthetic aperture techniques," J. Infrared Milli. Terahertz Waves, Vol. 31, 373-393, 2016.
doi:10.1007/s10762-016-0249-x

3. Shea, J. D., B. D. Van Veen, and S. C. Hagness, "A TSVD analysis of microwave inverse scattering for breast imaging," IEEE Transactions on Biomedical Engineering, Vol. 59, No. 4, 936-945, Apr. 2012.
doi:10.1109/TBME.2011.2176727

4. Nahata, A., J. T. Yardley, and T. F. Heinz, "A two dimensional imaging of CW THz radiation using electro-optic detection," Applied Physics Letters, Vol. 81, No. 6, 963-965, Aug. 2002.
doi:10.1063/1.1497190

5. Khulbe, M., H. Parthasarathy, and M. R. Tripathy, "Mathematical analysis and design of RF imaging techniques and signal processing using wavelets," International Journal of Signal and Imaging System Engineering, Inderscience Journal, Vol. 10, No. 6, 2017.

6. Chattopadhyay, G., C. Dengler, T. E. Bryllert, E. Schlecht, A. Skalare, I. Mehdi, and P. H. Siegel, "A 600 GHz imaging radar for contraband detection," 19th International Symposium on Space Terahertz Technology, 300-300, Groningen, Apr. 28-30, 2008.

7. Brasselel, S., "Polarization resolved nonlinear microscopy Applications to structure molecular and biological imaging," Advances in Optics and Photonics, Vol. 3, 205-271, 2011.
doi:10.1364/AOP.3.000205

8. Kumar, A., A. Basu, and S. K. Kaul, "Circuits and active antennas for ultrawide band pulse generation and transmission," Progress In Electromagnetic Research B, Vol. 23, 251-272, 2010.
doi:10.2528/PIERB10052103

9. William, W. H., W. C. Chew, and C. A. Ruwe, "A step frequency radar system for broadband microwave inverse scattering and imaging," Review of Progress in Quantitative Nondestructive Evaluation, 643-649, Springer, 1995.

10. Balanis, C. A., Antenna Theory Analysis and Design, 2nd Ed., Wiley, 1997.

11. Robert, B. W., Nonlinear Optics, 3rd Ed., Elsevier, 2008.

12. Derili, H. A., S. Schrabi, and A. Arzhang, "Two dimensional wavelets for numerical solution of integral equations," Mathematical Sciences, 2, 5, 6, 2012.

13. Khulbe, M., H. Parthasarathy, and M. R. Tripathy, "THz generation using nonlinear optics: Mathematical analysis and design of THz antennas," Advanced Electromagnetics Journal, Vol. 7, No. 1, Feb. 2018.

14. Khulbe, M., M. R. Triparty, and H. Parthasarathy, "Wavelet-based method for nonlinear inverse scattering problem using least mean square estimation," 2017 Progress In Electromagnetics Research Symposium --- Spring (PIERS), 496-501, St Petersburg, Russia, May 22-25, 2017.