Properties of Broadband Non-Linear Lossy Materials Employed in the Electromagnetic Inverse Scattering during the Microchip Processing


A method has been designed and implemented to describe the optical properties of lossy materials as a continuous functions of a finite wave length spectrum, needed in analysis of the Maxwell-Material equations. Measurements of the index of refraction (N) and the absorption coefficient (K) over a limited spectral range are used as input data. The (complex) permittivity function is then represented as a sum of five types of terms: a plasma term, a conductivity term, several Debye poles, several symmetric Lorentz poles as well as several asymmetric extended Lorentz (“XLorentz”) poles. All these terms are particular solutions of the Lifshitz integral equation describing the dispersion relation of a mono-chromatic electromagnetic wave. This representation facilitates the numerical solution of broadband direct and the inverse scattering of electromagnetic waves for thin film stacks and composite physical structures, in particular those now employed by the microchip industry.

Share and Cite:

E. Barouch, S. Knodle and S. Orszag, "Properties of Broadband Non-Linear Lossy Materials Employed in the Electromagnetic Inverse Scattering during the Microchip Processing," Modeling and Numerical Simulation of Material Science, Vol. 3 No. 3A, 2013, pp. 1-7. doi: 10.4236/mnsms.2013.33A001.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] S. Abarbanel, D. Gottlieb and J. S. Hesthaven, “Long Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics,” Journal of Scientific Computing, Vol. 17, No. 1-4, 2002, pp. 405-422. doi:10.1023/A:1015141823608
[2] W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vettering, “Numerical Recipes,” Cambridge University Press, Cambridge, 1986.
[3] E. Barouch, S. L. Knodle and S. A. Orszag, “A Broadband Electromagnetic Direct and Inverse Scatterin of Nonlinear Lossy Targets,” SPIE Journals, 2013, (in press).
[4] M. Born and E. Wolf, “Principles of Optics,” Pergamon Press, Oxford, 1987.
[5] E. M. Lifshitz, “The Theory of Molecular Attractive Forces between Solids,” Soviet Physics, Vol. 2, 1956, pp. 73-83.
[6] F. Pinto, “Engine Cycle of an Optically Controlled Vacuum Energy Transducer,” Physical Review B, Vol. 60, 1999, pp. 14740-14755. doi:10.1103/PhysRevB.60.14740

Copyright © 2021 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.