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

10 September 2019, Version 2
This content is a preprint and has not undergone peer review at the time of posting.


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.


Virtual Design
photonic bandgap structures
Thin films
Nanophotonics and photonic crystals

Supplementary materials

analytic derivatives PRR


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