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Envelope Dyadic Green's Function for Uniaxial Metamaterials
Stanislav I Maslovski1, Hodjat Mariji2
1Instituto de Telecomunicações e Departamento de Eletrónica, Telecomunicações e Informática, Universidade de Aveiro, Campus Universitário de Santiago, 3810-193, Aveiro, Portugal. stanislav.maslovski@ua.pt.
Scientific Reports
|December 29, 2019
Summary
We developed a new method using the envelope dyadic Green's function (EDGF) to analyze electromagnetic fields with slowly varying amplitude (EMFSVA) in complex metamaterials. This approach reveals phenomena like beam focusing and superluminal propagation.
Area of Science:
- Electromagnetism and Optics
- Materials Science
- Wave Propagation
Background:
- Studying electromagnetic fields in complex media requires advanced theoretical tools.
- Dispersive anisotropic metamaterials exhibit unique electromagnetic properties.
- Existing methods may not fully capture the behavior of slowly varying amplitude fields.
Purpose of the Study:
- Introduce the envelope dyadic Green's function (EDGF) formalism.
- Analyze the propagation of electromagnetic fields with slowly varying amplitude (EMFSVA) in dispersive anisotropic media.
- Investigate phenomena like beam focusing and superluminal propagation.
Main Methods:
- Developed a formalism based on the EDGF.
- Applied the formalism to uniaxial anisotropic metamaterials.
- Derived relations for the velocity of EMFSVA envelopes, consistent with group velocity.
Main Results:
- Calculated matrix elements of EDGFs for metamaterials.
- Demonstrated beam focusing in hyperbolic media.
- Observed superluminal propagation in media with inverted population.
Conclusions:
- The EDGF formalism effectively describes EMFSVA propagation in dispersive anisotropic metamaterials.
- The approach is applicable to modulated fields and amplitude fluctuations.
- The developed method can aid in designing metamaterial-based devices like waveguides and filters.
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