研究目的
Investigating the non-Hermitian effects due to asymmetric backscattering of light in whispering-gallery microcavities, with emphasis on its implications for single-particle detection and other applications.
研究成果
The study demonstrates that asymmetric backscattering in whispering-gallery microcavities leads to non-Hermitian effects such as chirality, copropagation, and nonorthogonality of mode pairs. These effects can be exploited for applications like single-particle detection with enhanced sensitivity, rotation sensing, and directional lasing. The work provides a comprehensive understanding of the underlying physics and suggests potential directions for future research, including extending the study to deformed microspheres.
研究不足
The study is primarily theoretical and numerical, with experimental validations referenced from other works. The analysis is limited to specific types of perturbations and cavity geometries. The practical implementation of sensors based on exceptional points may face challenges in separating frequency and linewidth splittings in passive systems.
1：Experimental Design and Method Selection:
The study involves theoretical and numerical analysis of whispering-gallery microcavities with various perturbations to induce asymmetric backscattering. The two-mode model is used to describe the dynamics of counterpropagating waves.
2：Sample Selection and Data Sources:
The study considers several types of perturbed whispering-gallery cavities, including deformed microdisks, microtoroids with nano?ber tips, and microrings with periodic modulation of the effective index of refraction.
3：List of Experimental Equipment and Materials:
The analysis is based on numerical simulations and theoretical models, with specific examples including microdisks, microtoroids, and microrings made of materials like GaAs and silica.
4：Experimental Procedures and Operational Workflow:
The study involves solving the Helmholtz equation for optical modes in deformed cavities, analyzing the eigenvalues and eigenvectors of the effective Hamiltonian, and studying the effects of perturbations on mode properties.
5：Data Analysis Methods:
The analysis includes calculating the chirality, nonorthogonality, and other properties of mode pairs, as well as studying the behavior near exceptional points.
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