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Title: | The Kramers-Kronig Relations: Validation via Calculation Technique |
Authors: | Zhikharev, V. N. Kozak, Myroslav I Puga, P. P. Loya, V. Yu. Жихарєв, Володимир Миколайович |
Keywords: | Kramers-Kronig relations, Jahoda formula, Optical parameters, Reflection spectrum |
Issue Date: | Dec-2017 |
Publisher: | IJISET - International Journal of Innovative Science, Engineering & Technology |
Citation: | IJISET - International Journal of Innovative Science, Engineering & Technology, Vol. 4 Issue 12, December 2017 |
Abstract: | The historical aspect of the discovery of the Kramers-Kronig dispersion relations is considered. A calculational technique is shown for investigating the validity of the Kramers-Kronig relations. The dielectric susceptibility function is constructed as a classical linear response function in the framework of two equations of charge motion of the microscopic Lorentz theory. It is shown that the Kramers-Kronig relations can be satisfied in the presence of poles in both the upper and lower half-planes simultaneously. It is shown that the accuracy of fulfilling the KK's relations depends on the removal of the pole of the lower half-plane from the real axis. To determine the optical parameters of the absorbing medium from the reflection spectra, it is necessary to perform a conformal transformation. An example of the application of this approach to the reflection spectrum of silicon is shown. |
Type: | Text |
Publication type: | Стаття |
URI: | https://dspace.uzhnu.edu.ua/jspui/handle/lib/48936 |
ISSN: | ISSN (Online) 2348 – 7968 |
Appears in Collections: | Наукові публікації кафедри фізики напівпровідників |
Files in This Item:
File | Description | Size | Format | |
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The Kramer-Kroning relation Козак-Жихарев (IJISET_V4_I12_17).pdf | стаття | 642.11 kB | Adobe PDF | View/Open |
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