The Scientific Research Notes Of S. Sunkavally (years: 2002-2011).
22289-2232.
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The Scientific Research Notes Of S. Sunkavally (years: 2002-2011).
22289-2232.
Status Update: Generalized Lorentz-Drude model of Dielectrics.
This week I continued to venture into the realm of nonlinearities by learning about the Lorentz model followed by the Drude model for metals.
It was fun employing the whole "statistical ensemble" trick to relate the microscopic dipole moments of individual atoms being subjected to an applied Electric Field to the macroscopic property of Material Polarization and further towards the Electric Flux Response of a material.
Once again, complex numbers rear their heads and there's growing pains in understanding the physical significance behind "complex dielectric" with the "real permittivity" all while trying to connect it with notions of conductivity in terms of both free space responses and material responses contributing to the total Electric Flux.
It is kinda neat how the complex refractive indexes extinction coefficient can be used to ??? Let us see where a materials absorption is highest near points of resonance?
And furthermore, a interesting connection to metamaterials was established when I realized that if the resonances of our doped elements are in frequencies way below our materials resonances, we do some cool stuff with the maths.
Something something we can use the dielectric permittivity at DC and at very high (infinity) to calculate the plasma frequency of a metal.
Now my plan is to deep dive into crystal anisotropy, do some numerical examples of tensor rotation, and hopefully that will help me better understand optical components like quarter wave plates and all that stuff.
And before anyone asks, no, Optical Rectification, the second order chi nonlinearity is NOT the mechanism of solar panels, that's the photoelectric effect 😉