I am studying a third order nonlinear optical organic material with a negative nonlinear refractive index, but the total refractive index is positive (n=n0+n2I, n2
This is a long a deep subject. The short answer is that it requires the material to have both a negative permittivity and negative permeability. This is called a double-negative material. There are ways to get a negative refractive in single-negative materials, but those are less studied. Lots of physics is reversed in negative index materials. First, it is left-handed instead of right-handed when looking at E, H, and the Poynting vector. Doppler shift is reversed, Cerenkov radiation is reversed, and more.
Watch the videos for Lectures 12 and 13 here:
http://emlab.utep.edu/ee5390em21.htm
Lots more could be said, but this is a start.
This is a long a deep subject. The short answer is that it requires the material to have both a negative permittivity and negative permeability. This is called a double-negative material. There are ways to get a negative refractive in single-negative materials, but those are less studied. Lots of physics is reversed in negative index materials. First, it is left-handed instead of right-handed when looking at E, H, and the Poynting vector. Doppler shift is reversed, Cerenkov radiation is reversed, and more.
Watch the videos for Lectures 12 and 13 here:
http://emlab.utep.edu/ee5390em21.htm
Lots more could be said, but this is a start.
One other thing...before studying why metamaterials exhibit the properties that they do, you may find it insightful to study why ordinary materials give the properties they do. Metamaterials are just an extension of this. This study will take you through understanding resonance, waves moving charges, those charges generating billions of tiny secondary waves that interfere with the applied wave, etc. I discuss a lot of this in Lecture 2 at the same website I provided.
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