Maxwellian evolution equations along the uniform optical fiber in Minkowski space
| Autor: | Vedat Asil, Talat Körpinar, R. Cem Demirkol, Zeliha Korpinar |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Electromagnetic field
Physics optical fiber Optical fiber 010308 nuclear & particles physics Wave propagation Mathematical analysis Coordinate system traveling wave hypothesis General Physics and Astronomy wave propagation 01 natural sciences Electromagnetic radiation Education law.invention symbols.namesake Geometric phase Maxwell's equations law evolution equation 0103 physical sciences Minkowski space symbols |
| Popis: | We firstly discuss the geometric phase rotation for an electromagnetic wave traveling along the optical fiber in Minkowski space. We define two types of novel geometric phases associated with the evolution of the polarization vectors in the normal and binormal directions along the optical fiber by identifying the normal-Rytov parallel transportation law and binormal-Rytov parallel transportation law and derive their relationships with the new types of Fermi-Walker transportation law in Minkowski space. Then we describe a novel approach of solving Maxwell's equations in terms of electromagnetic field vectors and geometric quantities associated with the curved path characterizing the path uniform optical fiber by using the traveling wave transformation method. Finally, we investigate that electromagnetic wave propagation along the uniform optical fiber admits an interesting family of Maxwellian evolution equation having numerous physical and geometric applications for anholonomic coordinate system in Minkowski space |
| Databáze: | OpenAIRE |
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