Metamaterials with epsilon and/or mu < 0.

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Discussion Overview

The discussion revolves around the properties and implications of metamaterials with negative permittivity (epsilon) and permeability (mu). Participants explore theoretical aspects, potential applications, and the physical interpretations of light propagation in such materials, particularly in relation to their refractive index.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • Some participants note that all known natural materials have epsilon and mu greater than zero, while metamaterials can be engineered to have both less than zero, raising questions about the implications for the refractive index.
  • One participant discusses the calculation of the refractive index as n = sqrt(epsilon * mu) and the interpretation of taking the negative root, questioning the physical meaning of a negative refractive index.
  • Another participant mentions that materials with negative epsilon and mu exhibit different properties compared to those with positive values, specifically highlighting the concept of left-handed materials and their negative group velocity.
  • There is a query about the feasibility of creating materials with a refractive index of -1 and whether this implies that light travels backward, prompting further exploration of the definitions of group and phase velocities.
  • A participant explains that the phrase "light goes backwards" is arbitrary, clarifying that a negative index indicates the group velocity is opposite to the phase velocity, which aligns with electromagnetic theory.
  • Discussion includes a mention of specific configurations for achieving negative index materials, such as using split-ring resonators and conducting wires, and the dependence of negative refraction on the size of the resonators.

Areas of Agreement / Disagreement

Participants express varying interpretations of the implications of negative refractive indices, particularly regarding the concept of light propagation. There is no consensus on whether light truly "goes backward" or how to interpret the velocities involved, indicating ongoing debate and exploration of the topic.

Contextual Notes

Limitations include the dependence on specific configurations and the narrow wavelength ranges for achieving negative refraction, as well as the need for further clarification on the definitions of group and phase velocities in this context.

yavuznuri
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All known natural materials have epsilon and mu > 0. However, there is an intense effort to manufacture so-called metamaterials, where both of these are <0. In such a case, given n = sqrt[epsilon x mu], one would take the negative root and n is still a real number, but n <0 why do we take the negative?

What is so interesting about this?

What does this say about the propagation of v=c/n, does this mean light is going backwards?
 
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n= √µϵ
n= √(-1) √-1
n= ί ί
n = -1

substances with negative µ and ϵ have some properties different from those with positve µ and ϵ and materials eith both µ & ϵ negative are not naturally found .

wavevector is in the direction of phase velocity, it means left handed materials have negative group velocity
 
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There is a paper about invisibility which mentioned metamaterials. You said these materials have an index of refraction -1, Does this really mean that light goes backward when it reaches the metamaterial?. Is this really possible?? How could someone create a material with such properties??
 


yes in microwave region , electromagnetic wave bends once it reaches to metamaterial .
 


thelayman said:
There is a paper about invisibility which mentioned metamaterials. You said these materials have an index of refraction -1, Does this really mean that light goes backward when it reaches the metamaterial?. Is this really possible?? How could someone create a material with such properties??

The phrase "light goes backwards" is somewhat arbitrary because light possesses two velocities, group velocity and phase velocity. A negative index means the group velocity is in the opposite direction to the phase velocity. It is entirely consistent with the laws of electromagnetism as far as I know.

The basic configuration for negative index materials is a layer of split-ring resonators (for negative mu) interspersed by layers of parallel conducting wires (for negative epsilon). The (narrow) wavelength range over which negative refraction is attained depends on the size of the resonators.

Claude.
 

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