Hi,
I'm looking to predict via simulations and maths a nonlinear response from a square split ring meta atom to see if inserting a varactor across a split gap significantly changes the behaviour of the meta atom, and consequently how it changes, what kind of nonlinear susceptibility it presents and what kind of three wave mixing will occur. For now, I am only interested in up to second order responses.
I am using the Smith adaptation of the Nicholson-Ross-Weir parameter retrieval method to find the linear properties of the meta atom.
I am hoping to find expressions that I can use in Comsol, for the permittivity and permeability of the varactor diode that depend on frequency. Or, alternatively, some method of simulating the effect of the varactor diode without explicitly knowing the nonlinear susceptibility of the meta atom + varactor system.
This will hopefully allow me to measure the generated nonlinear waves even without directly knowing the nonlinear susceptibilities (as if I had actually done the experiment and measured the scattered fields). I can then continue on to a nonlinear retrieval method.
Any advice would be appreciated, even if it just helps me understand this process.
Thanks!
Hi Fraser Cripps,
For the COMSOL simulations, I hope the following URL might help (examples with detailed intuitive documents offered by the official website).
https://cn.comsol.com/model/nonlinear-slit-resonator-coupling-acoustics-and-cfd-47171
https://uk.comsol.com/model/second-harmonic-generation-24151
https://uk.comsol.com/model/second-harmonic-generation-of-a-gaussian-beam-rf-956
https://uk.comsol.com/model/computing-q-factors-and-resonant-frequencies-of-cavity-resonators-9618
https://uk.comsol.com/model/harmonic-content-of-the-power-deposition-into-a-dual-frequency-capacitively-coup-10218
For papers, I hope the following articles might help.
1. J.B. Pendry, et al, Magnetism from conductors and enhanced nonlinear phenomena, IEEE Trans. Microw. Theory Tech. 47 2075 (1999).
Article Magnetism from Conductors, and Enhanced Non-linear Phenomena
2. Schurig D, Mock J J, Justice B J, et al. Metamaterial electromagnetic cloak at microwave frequencies. Science, 2006, 314(5801): 977-980.
http://science.sciencemag.org/content/314/5801/977
3. Li G, et al, Continuous control of the nonlinearity phase for harmonic generations, Nature Materials, 14(6), 607, 2015.
https://doi.org/10.1038/nmat4267
4. Lee J. et al, Giant nonlinear response from plasmonic metasurfaces coupled to intersubband transitions, Nature 511, 65-69 (2014).
Article Giant nonlinear response from plasmonic metasurfaces coupled...
These papers are about nonlinear optics. While I am not quite sure if they address your need in varactor diode... I hope they may help.
Good luck! Regards,
Yuan
Thank you very much! I will make my way through those sources momentarily.
For the sake of anyone reading this thread in the future, I also just found an excellent paper by Ekaterina Poutrina et al from 2010 called Analysis of Nonlinear Electromagnetic Metamaterials, seems very useful!
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