Trace formulation for photonic inverse design with incoherent sources
Name
158_2022_Article_3389.pdf
Size
2 MB
Format
Adobe PDF
Checksum (MD5)
de3b3099729a1f3e4a76ae765b1fa329
Author(s)
Yao, Wenjie
Verdugo, Francesc
Christiansen, Rasmus E.
Johnson, Steven G.
Date Issued
November 15, 2022
Publisher
Springer Berlin Heidelberg
Citation
Structural and Multidisciplinary Optimization. 2022 Nov 15;65(11):336
Version
Final published version
Abstract
Abstract
Spatially incoherent light sources, such as spontaneously emitting atoms, naively require Maxwell’s equations to be solved many times to obtain the total emission, which becomes computationally intractable in conjunction with large-scale optimization (inverse design). We present a trace formulation of incoherent emission that can be efficiently combined with inverse design, even for topology optimization over thousands of design degrees of freedom. Our formulation includes previous reciprocity-based approaches, limited to a few output channels (e.g., normal emission), as special cases but generalizes to a continuum of emission directions by exploiting the low-rank structure of emission problems. We present several examples of incoherent-emission topology optimization, including tailoring the geometry of fluorescent particles, a periodically emitting surface, and a structure emitting into a waveguide mode, as well as discussing future applications to problems such as Raman sensing and cathodoluminescence.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1007/s00158-022-03389-5
