513.001 Molecular and Solid State Physics

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Oral exam questions about photons

What is a photonic crystal?

What form do the eigen function solutions to the wave equation have for a photonic crystal? Can you show that these solutions are eigenfunctions of the translation operator?

If you know the Bravais lattice of a photonic crystal, how can you estimate the dispersion relation? Draw the dispersion relation in the empty lattice approximation.

Some photonic crystals have band gaps only in certain directions but others have a band gap in all directions. How can this be?

How could you calculate the Planck radiation law for a photonic crystal?