研究目的
Investigating the use of complex transformation optics (CTO) to mimic complex source point (CSP) fields and demonstrate that CSP fields can be produced through appropriate material tensors prescribed by the corresponding complex coordinate transformations.
研究成果
The study demonstrates that Gaussian beams can be generated using complex transformation optics (CTO) by extending real-valued coordinate transformations into complex-valued coordinate transformations. It shows that properly designed gain-only transformation media can realize complex source point (CSP) fields, providing a method to control both the amplitude and phase paths of electromagnetic waves.
研究不足
The study is theoretical and does not involve physical experiments. The practical realization of the proposed metamaterial slabs with the required material tensors may pose challenges.
1：Experimental Design and Method Selection:
The study employs complex transformation optics (CTO) to mimic complex source point (CSP) fields. The methodology involves extending real-valued coordinate transformations to complex-valued coordinate transformations to control both the amplitude and phase paths of electromagnetic waves.
2：Sample Selection and Data Sources:
The study uses theoretical models and analytical solutions to describe the fields due to a point source placed at a complex-valued position.
3：List of Experimental Equipment and Materials:
The study does not specify physical equipment but relies on theoretical models and simulations.
4：Experimental Procedures and Operational Workflow:
The study involves deriving field solutions in transformed coordinates via analytic continuation of known Green's function and mapping these solutions back to physical space using CTO.
5：Data Analysis Methods:
The study uses analytical methods and simulations to analyze the behavior of electromagnetic waves under complex coordinate transformations.
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