# Bloch Spectra for High Contrast Elastic Media

@inproceedings{Lipton2021BlochSF, title={Bloch Spectra for High Contrast Elastic Media}, author={Robert P. Lipton and Ruchira Perera}, year={2021} }

Analytic representation formulas and power series are developed to describe the band structure inside periodic elastic crystals made from high contrast inclusions. We use source free modes associated with structural spectra to represent the solution operator of the Lamé system inside phononic crystals. Convergent power series for the Bloch wave spectrum are obtained using the representation formulas. An explicit bound on the convergence radius is given through the structural spectra of the…

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