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Accelerating the Discovery of Multilayer Nanostructures with Analytic Differentiation of the Transfer Matrix Equations

revised on 10.09.2019, 17:37 and posted on 10.09.2019, 19:49 by James F. Varner, Dayanara Wert, Aya Matari, Raghad Nofal, Jonathan Foley
Multilayer nanostructures represent an important class of materials with tunable optical and thermal radiative properties that can be leveraged for a wide range of energy applications. We present a theoretical framework for optimizing the geometry of such structures that utilizes gradients of various objective functions that are enabled through analytic differentiation of the transfer matrix equations. We demonstrate the usefulness of this method by applying it to the optimization of structures for incandescent light sources, and the global optimization of anti-reflective solar cell coatings.


Email Address of Submitting Author


William Paterson University


United States

ORCID For Submitting Author


Declaration of Conflict of Interest

No conflict of interest.

Version Notes

This is the first version of the preprint.