Simulating robust far-field coupling to traveling waves in large three-dimensional nanostructured high-Q microresonators

Ultra-high quality (Q) whispering gallery mode (WGM) microtoroid optical resonators have demonstrated highly sensitive biomolecular detection down to the single molecule limit; however, the lack of a robust coupling method has prevented their widespread adoption outside the laboratory. We demonstrate through simulation that a phased array of nanorods can enable free-space coupling of light both into and out of a microtoroid while maintaining a high Q. To simulate large nanostructured WGM resonators, we developed a new approach known as FloWBEM, which is an efficient and compact 3D wedge model with custom boundary conditions that accurately simulate the resonant Fano interference between the traveling WGM waves and a nanorod array. Depending on the excitation conditions, we find loaded Q factors of the driven system as high as 2.1×107 and signal-to-background ratios as high as 3.86%, greater than the noise levels of many commercial detectors. These results can drive future experimental implementation.

[1]  M. Wegener,et al.  Past Achievements and Future Challenges in 3D Photonic Metamaterials , 2011, 1109.0084.

[2]  M. Wegener,et al.  Past achievements and future challenges in the development of three-dimensional photonic metamaterials , 2011 .

[3]  Tal Carmon,et al.  Finite element simulation of a perturbed axial-symmetric whispering-gallery mode and its use for intensity enhancement with a nanoparticle coupled to a microtoroid. , 2013, Optics express.

[4]  R. W. Christy,et al.  Optical Constants of the Noble Metals , 1972 .

[5]  Yuri S. Kivshar,et al.  Fano resonances in photonics , 2017, Nature Photonics.

[6]  H. Doeleman,et al.  Perturbing Open Cavities: Anomalous Resonance Frequency Shifts in a Hybrid Cavity-Nanoantenna System. , 2015, Physical review letters.

[7]  S. Arnold,et al.  Single virus detection from the reactive shift of a whispering-gallery mode , 2008, Proceedings of the National Academy of Sciences.

[8]  J. Joannopoulos,et al.  Temporal coupled-mode theory for the Fano resonance in optical resonators. , 2003, Journal of the Optical Society of America. A, Optics, image science, and vision.

[9]  S. Arnold,et al.  Shift of whispering-gallery modes in microspheres by protein adsorption. , 2003, Optics letters.

[10]  Lan Yang,et al.  On-chip Single Nanoparticle Detection and Sizing by Mode Splitting in an Ultra-high-Q Microresonator , 2009 .

[11]  Yan Li,et al.  High-Q asymmetric polymer microcavities directly fabricated by two-photon polymerization , 2013 .

[12]  Brian M Stoltz,et al.  Label-free detection of single nanoparticles and biological molecules using microtoroid optical resonators , 2016, Light: Science & Applications.

[13]  Yonghui Tian,et al.  Experimental realization of mode-splitting resonance using microring resonator with a feedback coupled waveguide , 2018, Applied Physics Express.

[14]  Yun-Feng Xiao,et al.  Ultrahigh-Q, largely deformed microcavities coupled by a free-space laser beam , 2013 .

[15]  S. Vincent,et al.  Cylindrical beam propagation modelling of perturbed whispering-gallery mode microcavities. , 2013, Optics express.

[16]  Hongying Zhu,et al.  On-column micro gas chromatography detection with capillary-based optical ring resonators. , 2008, Analytical chemistry.

[17]  E. Mcleod,et al.  Democratization of Nanoscale Imaging and Sensing Tools Using Photonics , 2015, Analytical chemistry.

[18]  Yun-Feng Xiao,et al.  Free-space coupled, ultralow-threshold Raman lasing from a silica microcavity , 2013 .

[19]  Lan Yang,et al.  On-chip single nanoparticle detection and sizing by mode splitting in an ultrahigh- Q microresonator , 2010 .

[20]  Yun-Feng Xiao,et al.  Mode splitting induced by an arbitrarily shaped Rayleigh scatterer in a whispering-gallery microcavity , 2018, Physical Review A.

[21]  S. H. Liu,et al.  Synthesis, Functionalization, and Bioconjugation of Monodisperse, Silica‐Coated Gold Nanoparticles: Robust Bioprobes , 2005 .

[22]  Hiroshi Nakashima,et al.  Influence of the Local Environment on Determining Aspect-Ratio Distributions of Gold Nanorods in Solution Using Gans Theory , 2007 .

[23]  Euan McLeod,et al.  Fundamental Limits of Optical Tweezer Nanoparticle Manipulation Speeds. , 2018, ACS nano.

[24]  H. Doeleman,et al.  Controlling Nanoantenna Polarizability through Backaction via a Single Cavity Mode. , 2017, Physical review letters.

[25]  Siegfried Janz,et al.  Waveguide sub‐wavelength structures: a review of principles and applications , 2015 .

[26]  M. Oxborrow.  Traceable 2-D Finite-Element Simulation of the Whispering-Gallery Modes of Axisymmetric Electromagnetic Resonators , 2006, IEEE Transactions on Microwave Theory and Techniques.

[27]  Yun-Feng Xiao,et al.  Whispering‐gallery microcavities with unidirectional laser emission , 2016 .

[28]  Paul Mulvaney,et al.  Gold nanorod extinction spectra , 2006 .

[29]  Fuxing Gu,et al.  Free‐space coupling of nanoantennas and whispering‐gallery microcavities with narrowed linewidth and enhanced sensitivity , 2015 .

[30]  Wei Wang,et al.  Detection of Single Nanoparticles and Lentiviruses Using Microcavity Resonance Broadening , 2013, Advanced materials.

[31]  Yong Zhao,et al.  Optical bio-chemical sensors based on whispering gallery mode resonators. , 2018, Nanoscale.

[32]  Matthew R Foreman,et al.  Single-molecule nucleic acid interactions monitored on a label-free microcavity biosensor platform. , 2014, Nature nanotechnology.

[33]  Lan Yang,et al.  A scatterer-assisted whispering-gallery-mode microprobe , 2018, Nanophotonics.

[34]  Judith Su,et al.  Label-Free Single Exosome Detection Using Frequency-Locked Microtoroid Optical Resonators , 2015 .

[35]  P. Rothemund,et al.  Engineering and mapping nanocavity emission via precision placement of DNA origami , 2016, Nature.

[36]  Euan McLeod,et al.  Dark mode plasmonic optical microcavity biochemical sensor , 2019, Photonics Research.

[37]  J. Knight,et al.  Phase-matched excitation of whispering-gallery-mode resonances by a fiber taper. , 1997, Optics letters.

[38]  Zihao Chen,et al.  Photon antibunching and bunching in a ring-resonator waveguide quantum electrodynamics system. , 2016, Optics letters.

[39]  S. Arnold,et al.  Whispering-gallery-mode biosensing: label-free detection down to single molecules , 2008, Nature Methods.

[40]  Yun-Feng Xiao,et al.  Chaos-assisted broadband momentum transformation in optical microresonators , 2017, Science.

[41]  Zihao Chen,et al.  Dissipation-induced photonic-correlation transition in waveguide-QED systems , 2017 .

[42]  D. Weiss,et al.  Splitting of high-Q Mie modes induced by light backscattering in silica microspheres. , 1995, Optics letters.

[43]  Feng Luan,et al.  Fano resonances in metallic grating coupled whispering gallery mode resonator , 2013 .

[44]  T. Carmon,et al.  Interfacing whispering-gallery microresonators and free space light with cavity enhanced Rayleigh scattering , 2014, Scientific Reports.

[45]  Judith Su,et al.  Label-Free Biological and Chemical Sensing Using Whispering Gallery Mode Optical Resonators: Past, Present, and Future , 2017, Sensors.

[46]  Lan Yang,et al.  Surface-enhanced Raman scattering on dielectric microspheres with whispering gallery mode resonance , 2018 .

[47]  Yan Li,et al.  Cavity-QED treatment of scattering-induced free-space excitation and collection in high-Q whispering-gallery microcavities , 2012, 1206.2426.