Hi,
I am trying to simulate a photonic crystal waveguide where we have a bandgap for green light (532nm).
Can anyone please tell me how do I calculate the lattice constant, slab thickness and hole radius of photonic crystals for green light?
I have seen papers where people have used the values for wavelength in the range 1300-2000 nm.
Can anyone please help me? Thanks in advance!
Regards,
Sourangsu
The lattice spacing is usually around half the free space wavelength. It varies based on the refractive index of the medium and the fill factor (i.e. percentage dielectric vs air) of the lattice.
Take a look at Lecture 14 at the following link. It contains some trends that you may find useful.
http://emlab.utep.edu/ee5390em21.htm
Yes, that is a great first guess. If you want to fine tune the guess, calculate it this way...
a = 0.5 * lam0 / (f * n)
a is the lattice spacing, lam0 is the free space wavelength, n is the effective index of the photonic crystal, and f is the fill factor (i.e. % of lattice that is n). I have assume the second material in your photonic crystal is air.
Watch the Lecture 14 and look through the notes and I think you will find what you need. The answer depends on several things like polarization. Most likely, however, you will want air holes etched into a dielectric background.
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