Cavity-enhanced second-harmonic generation via nonlinear-overlap optimization
Name
Johnson_Cavity-enhanced.pdf
Size
398.48 KB
Format
Adobe PDF
Checksum (MD5)
0fddc3ece6938058f84e4a460749ee48
Author(s)
Lin, Zin
Lončar, Marko
Rodriguez, Alejandro W.
Liang, Xiangdong
Johnson, Steven G
Date Issued
May 2015
Journal
Optica
Publisher
Optical Society of America
Citation
Lin, Zin et al. “Cavity-Enhanced Second-Harmonic Generation via Nonlinear-Overlap Optimization.” Optica 3.3 (2016): 233.
Version
Original manuscript
Abstract
We describe a novel approach based on topology optimization that enables automatic discovery of wavelength-scale photonic structures for achieving high-efficiency second-harmonic generation (SHG). A key distinction from previous formulation and designs that seek to maximize Purcell factors at individual frequencies is that our method aims to not only achieve frequency matching (across an entire octave) and large radiative lifetimes, but also optimizes the equally important nonlinear-coupling figure of merit [bar over β], involving a complicated spatial overlap-integral between modes. We apply this method to the particular problem of optimizing micropost and grating-slab cavities (one-dimensional multilayered structures) and demonstrate that a variety of material platforms can support modes with the requisite frequencies, large lifetimes 𝑄 > 10[superscript 4], small modal volumes ∼(𝜆/𝑛)[superscript 3], and extremely large [bar over β] ≳ 10−2, leading to orders of magnitude enhancements in SHG efficiency compared to state-of-the-art photonic designs. Such giant [bar over β] alleviate the need for ultranarrow linewidths and thus pave the way for wavelength-scale SHG devices with faster operating timescales and higher tolerance to fabrication imperfections.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1364/optica.3.000233
