| Summary: | 碩士 === 國立臺灣海洋大學 === 光電科學研究所 === 101 === In this work, we theoretically study the transfer-matrix method and transcendental equations in spherical core-shell structures using the full frequency-domain approach and calculate required permittivity variations to reach surface-plasmon resonances. With these permittivity variations, various parameters which help evaluate the laser performance such as the resonance frequencies, quality factors, energy confinement factors, effective modal volumes, and threshold gains are estimated. The internal quantum efficiencies are also calculated based on the field distributions of optical modes. We discuss the advantages and disadvantages of dipole and quadruple modes as the lasing mode in gold/silicon dioxide/water core-shell structures with different sizes. The required number of molecules is also estimated, and it functions as the criterion for the design of spherical surface-plsmon nanolasers. At last, we compare the multilayer planar structure with multi-shell spherical one and discuss the effect of curvature on lasing.
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