Theory of cavity ring-up spectroscopy
Ming-Yong Ye, Xiu-Min Lin

TL;DR
This paper develops a comprehensive theoretical framework for cavity ring-up spectroscopy (CRUS), deriving exact analytical expressions for its normalized transmission to enhance understanding and application of this ultrafast sensing technique.
Contribution
It provides the first detailed theoretical analysis of CRUS, including cases with modal coupling, with simple analytical formulas under common conditions.
Findings
Derived exact analytical expressions for normalized transmission in CRUS
Analyzed effects of modal coupling on CRUS signals
Established a solid theoretical foundation for future CRUS applications
Abstract
Cavity ring-up spectroscopy (CRUS) provides an advanced technique to sense ultrafast phenomena, but there is no thorough discussion on its theory. Here we give a detailed theoretical analysis of CRUS with and without modal coupling, and present exact analytical expressions for the normalized transmission, which are very simple under certain reasonable conditions. Our results provide a solid theoretical basis for the applications of CRUS.
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