Analytical Methods for Causality Evaluation of Photonic Materials - Publikacja - MOST Wiedzy

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Analytical Methods for Causality Evaluation of Photonic Materials

Abstrakt

We comprehensively review several general methods and analytical tools used for causality evaluation of photonic materials. Our objective is to call to mind and then formulate, on a mathematically rigorous basis, a set of theorems which can answer the question whether a considered material model is causal or not. For this purpose, a set of various distributional theorems presented in literature is collected as the distributional version of the Titchmarsh theorem, allowing for evaluation of causality in complicated electromagnetic systems. Furthermore, we correct the existing material models with the use of distribution theory in order to obtain their causal formulations. In addition to the well-known Kramers–Krönig (K–K) relations, we overview four further methods which can be used to assess causality of given dispersion relations, when calculations of integrals involved in the K–K relations are challenging or even impossible. Depending on the given problem, optimal approaches allowing us to prove either the causality or lack thereof are pointed out. These methodologies should be useful for scientists and engineers analyzing causality problems in electrodynamics and optics, particularly with regard to photonic materials, when the involved mathematical distributions have to be invoked.

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Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuły w czasopismach
Opublikowano w:
Materials nr 15,
ISSN: 1996-1944
Język:
angielski
Rok wydania:
2022
Opis bibliograficzny:
Stefański T., Gulgowski J., Tsakmakidis K. L.: Analytical Methods for Causality Evaluation of Photonic Materials// Materials -Vol. 15,iss. 4 (2022), s.1536-
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.3390/ma15041536
Weryfikacja:
Politechnika Gdańska

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