The design of photonic crystals with complete bandgaps has recently received considerable research focus for numerous reasons. This work leverages well-known nonlinear programming techniques to alleviate the non-smoothness caused by degenerate eigenvalues such that topology optimization problems can be solved with the open-source IPOPT software. A fully-vectorial plane wave expansion technique is used with an iterative eigensolver to efficiently predict dispersion properties of candidate structures. Nonlinear programming is employed to solve the inverse problem of designing three-dimensional periodic structures that exhibit complete two-dimensional (2D) and three-dimensional (3D) photonic bandgaps. Mesh refinement is performed to alleviate the large computational burden of designing and analyzing photonic crystals, and a periodic density filter is implemented to impose a minimum feature size for manufacturability considerations.
Swartz, Kenneth E., et al. "Topology optimization of 3D photonic crystals with complete bandgaps." Optics Express, vol. 29, no. 14, Jun. 2021. https://doi.org/10.1364/OE.427702
Swartz, Kenneth E., White, Daniel A., Tortorelli, Daniel A., & James, Kai A. (2021). Topology optimization of 3D photonic crystals with complete bandgaps. Optics Express, 29(14). https://doi.org/10.1364/OE.427702
Swartz, Kenneth E., White, Daniel A., Tortorelli, Daniel A., et al., "Topology optimization of 3D photonic crystals with complete bandgaps," Optics Express 29, no. 14 (2021), https://doi.org/10.1364/OE.427702
@article{osti_1804215,
author = {Swartz, Kenneth E. and White, Daniel A. and Tortorelli, Daniel A. and James, Kai A.},
title = {Topology optimization of 3D photonic crystals with complete bandgaps},
annote = {The design of photonic crystals with complete bandgaps has recently received considerable research focus for numerous reasons. This work leverages well-known nonlinear programming techniques to alleviate the non-smoothness caused by degenerate eigenvalues such that topology optimization problems can be solved with the open-source IPOPT software. A fully-vectorial plane wave expansion technique is used with an iterative eigensolver to efficiently predict dispersion properties of candidate structures. Nonlinear programming is employed to solve the inverse problem of designing three-dimensional periodic structures that exhibit complete two-dimensional (2D) and three-dimensional (3D) photonic bandgaps. Mesh refinement is performed to alleviate the large computational burden of designing and analyzing photonic crystals, and a periodic density filter is implemented to impose a minimum feature size for manufacturability considerations.},
doi = {10.1364/OE.427702},
url = {https://www.osti.gov/biblio/1804215},
journal = {Optics Express},
issn = {ISSN OPEXFF},
number = {14},
volume = {29},
place = {United States},
publisher = {Optical Society of America},
year = {2021},
month = {06}}
Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 361, Issue 1806https://doi.org/10.1098/rsta.2003.1177