Efficient hybrid method for the modal analysis of optical microcavities and nanoresonators.

We propose a novel hybrid method for accurately and efficiently analyzing microcavities and nanoresonators. The method combines the marked spirit of quasinormal mode expansion approaches, e.g., analyticity and physical insight, with the renowned strengths of real-frequency simulations, e.g., accuracy and flexibility. Real- and complex-frequency simulations offer a complementarity between accuracy and computation speed, opening new perspectives for challenging inverse design of nanoresonators.

[1]  Amadeu Griol,et al.  Nonlinear dynamics and chaos in an optomechanical beam , 2016, Nature Communications.

[2]  Patrick Amestoy,et al.  A Fully Asynchronous Multifrontal Solver Using Distributed Dynamic Scheduling , 2001, SIAM J. Matrix Anal. Appl..

[3]  M. Soljačić,et al.  Low-Loss Plasmonic Dielectric Nanoresonators. , 2016, Nano letters.

[4]  P Lalanne,et al.  Theory of the spontaneous optical emission of nanosize photonic and plasmon resonators. , 2013, Physical review letters.

[5]  Peter R. Wiecha,et al.  Deep learning in nano-photonics: inverse design and beyond , 2020, Photonics Research.

[6]  Dominique Barchiesi,et al.  Models of near-field spectroscopic studies: comparison between Finite-Element and Finite-Difference methods. , 2005, Optics express.

[7]  Joel K. W. Yang,et al.  Nanophotonic Structural Colors , 2020 .

[8]  Henri Calandra,et al.  Flexible Variants of Block Restarted GMRES Methods with Application to Geophysics , 2012, SIAM J. Sci. Comput..

[9]  Frédéric Zolla,et al.  Photonics in highly dispersive media: the exact modal expansion. , 2018, Optics letters.

[10]  P Lalanne,et al.  Efficient and intuitive method for the analysis of light scattering by a resonant nanostructure. , 2013, Optics express.

[11]  Philippe Lalanne,et al.  Rigorous modal analysis of plasmonic nanoresonators , 2017, 1711.05011.

[12]  Jack Ng,et al.  Theory of optical trapping by an optical vortex beam. , 2009, Physical review letters.

[13]  Steven G. Johnson,et al.  Formulation for scalable optimization of microcavities via the frequency-averaged local density of states. , 2013, Optics express.

[14]  Wei Ma,et al.  Deep learning for the design of photonic structures , 2020, Nature Photonics.

[15]  Michael Mrejen,et al.  Plasmonic nanostructure design and characterization via Deep Learning , 2018, Light: Science & Applications.

[16]  Philippe Lalanne,et al.  Light Interaction with Photonic and Plasmonic Resonances , 2017, Laser & Photonics Reviews.

[18]  M Garcia-Vergara,et al.  Extracting an accurate model for permittivity from experimental data: hunting complex poles from the real line. , 2016, Optics letters.

[20]  Ole Sigmund,et al.  Topology optimization for nano‐photonics , 2011 .

[21]  P. Lalanne,et al.  Quasinormal-mode analysis of grating spectra at fixed incidence angles. , 2019, Optics letters.

[22]  C. Sauvan Quasinormal modes expansions for nanoresonators made of absorbing dielectric materials: study of the role of static modes. , 2021, Optics express.

[23]  Yuebing Zheng,et al.  Intelligent nanophotonics: merging photonics and artificial intelligence at the nanoscale , 2018, Nanophotonics.

[24]  Oliver Benson,et al.  Riesz-projection-based theory of light-matter interaction in dispersive nanoresonators , 2018, Physical Review A.

[25]  M. Brongersma,et al.  Structural color from a coupled nanowire pair beyond the bonding and antibonding model , 2021, Optica.

[26]  Benjamin Vial,et al.  Quasimodal expansion of electromagnetic fields in open two-dimensional structures , 2013, 1311.3244.

[27]  E. Muljarov,et al.  Exact mode volume and Purcell factor of open optical systems , 2014, 1409.6877.

[28]  M. Qiu,et al.  Shape Deformation of Nanoresonator: A Quasinormal-Mode Perturbation Theory. , 2020, Physical review letters.

[29]  J. Stoer,et al.  Introduction to Numerical Analysis , 2002 .

[30]  Jelena Vucković,et al.  Inverse design in nanophotonics , 2018, Nature Photonics.