Fermat原理在左手媒质中的推广
Generation Fermat’s principle into left handed materials
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摘要: 在考虑左、右手媒质定义对比基础上,定义了广义折射率,并对Fermat原理的表述进行了推广。从电磁理论出发,得到了折射率的具体表示。广义的折射率可以通过媒质电参数有效地表现理想及人工复合左、右手媒质中折射的负正特性。以此所得理论可以有效描述由左、右手媒质所共同构成的折射率可变的混合稳态电磁或光学传输系统。讨论了折射率的高频形式,并对负折射现象进行了讨论。Abstract: The generalized expression of Fermat’s principle is introduced through defining generalized refractive index on the basis of the comparison of the definition between left handed materials(LHMs) and right handed materials(RHMs). The concrete expression of generalized refractive index is derived from electromagnetic theory. The refractive index represents positive or negative refraction of the perfect and composite materials by medium electrical parameters, and the theory obtained can be used to depict the steady electromagnetic or optical system effectively with variable refractive index consisting of LHMs and RHMs. The high frequency forms of refractive index and negative refractions are discussed.
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Key words:
- lhms /
- fermat’s principle /
- transmission /
- refractive index
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