Transmission zeros and ultrasensitive detection in complex systems
Yuhao Kang, Azriel Z. Genack

TL;DR
This paper investigates the topological behavior of transmission zeros in complex quantum and metamaterial systems, revealing how their control can enable ultrasensitive detection through ultranarrow spectral features.
Contribution
It introduces a novel topological framework for understanding and manipulating transmission zeros, leading to potential applications in ultrasensitive optical detection.
Findings
Transmission zeros exhibit topological structure and motion under deformation.
Zeros can be controlled to produce ultranarrow Lorentzian spectral lines.
Diverging frequency change rates of zeros enable ultrasensitive detection.
Abstract
Understanding vanishing transmission in Fano resonances in quantum systems and metamaterials, and ultralow transmission in disordered media is key to elucidating optical interactions. Using analytic theory and numerical simulations, we discover the topological structure and motion under deformation of transmission zeros in the complex energy plane. We demonstrate the zeros can be controlled to create ultranarrow Lorentzian lines in spectra of transmission time and diverging rates of frequency change of transmission zeros as they converge. This suggests a new approach to ultrasensitive detection.
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