Negative Permeability Metamaterials: Explaining Stop Band Mechanism

In summary, Metamaterial structures such as split ring resonators can be effectively opaque to electromagnetic radiation at their resonant frequency due to a stop band. This is caused by the solution of Maxwell's equations and the geometry of the split rings, which results in a negative magnetic response. While the geometry of the split rings is important, the key factor in stopping the propagation of electromagnetic waves is the negative permeability, which can be explained through the solution of Maxwell's equations. Further research on this topic can be found in the provided sources.
  • #1
hsuominen
3
0
Metamaterial structures such as split ring resonators exist such that at their resonant frequency, a stop band occurs, and are effectively therefore opaque to electromagnetic radiation at those frequencies. Could anyone explain this mechanism?
 
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  • #2
http://www.physicstoday.org/vol-57/iss-6/pdf/vol57no6p37_43.pdf

Zz.
 
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  • #3
Thanks for that, although i had already come across that article i missed the most important sentence "If instead of electrons the material response were due to harmonically bound magnetic moments, then a negative magnetic response would exist."

Anyone find any other article that would expand on the source of the negative magnetic response?
 
  • #4
But... but.. it is due to the solution of Maxwell's equation and the geometry of the split rings. I thought this is covered in that article?

Here's another article that covers almost the same thing.

Zz.
 
  • #5
Well yes the geometry of the split rings is what causes the resonance, and ultimately the negative permeability, but my question is what is in the wave-matter interaction that stops the propagation of the electromagnetic wave. Truly, as u stated, if you solve Maxwell's equations with a negative permeability, the wave will not propagate.

What I am looking for however is an explanation similar to the one given in the first article for negative permittivity...
 

Related to Negative Permeability Metamaterials: Explaining Stop Band Mechanism

1. What are negative permeability metamaterials?

Negative permeability metamaterials are artificially engineered materials that have a negative value for their permeability. This means that they exhibit a unique property of having a magnetic response that is opposite to that of natural materials.

2. How do negative permeability metamaterials work?

Negative permeability metamaterials work by manipulating the interaction between magnetic fields and electromagnetic waves. They are designed with subwavelength structures that can bend and control the flow of electromagnetic waves, resulting in a negative permeability value.

3. What is the stop band mechanism in negative permeability metamaterials?

The stop band mechanism in negative permeability metamaterials is a phenomenon that occurs when the material is designed to have a specific range of frequencies that it cannot transmit. This is due to the unique properties of the material that prevent the passage of electromagnetic waves within that frequency range.

4. What applications do negative permeability metamaterials have?

Negative permeability metamaterials have a wide range of applications, including invisibility cloaks, super lenses, and antennas. They can also be used in medical imaging, telecommunications, and military technology.

5. Are there any limitations to the use of negative permeability metamaterials?

Yes, there are some limitations to the use of negative permeability metamaterials. One major limitation is that they are currently only effective at specific frequencies, so their use is limited to certain applications. They also require precise engineering and manufacturing techniques, which can be costly and time-consuming.

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