Trace formulation for photonic inverse design with incoherent sources
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.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Nov 01, 2022
- Source ID
- 10.1007/s00158-022-03389-5
Entities
People
- Francesc Verdugo
- Rasmus E Christiansen
- Steven G. Johnson
- Wenjie Yao
Organizations
- Danish National Research Foundation
- Defense Advanced Research Projects Agency
- Massachusetts Institute of Technology
- United States Army Research Laboratory