We thoroughly investigate the Fabry-Pérot resonator, avoid approximations, and derive its generic Airy distribution, equaling the internal resonance enhancement, and all related Airy distributions, such as the commonly known transmission. We verify that the sum of the mode profiles of all longitudinal modes is the fundamental physical function characterizing the Fabry-Pérot resonator and generating the Airy distributions. We investigate the influence of frequency-dependent mirror reflectivities on the mode profiles and the resulting Airy distributions. The mode profiles then deviate from simple Lorentzian lines and exhibit peaks that are not located at resonant frequencies. Our simple, yet accurate analysis greatly facilitates the characterization of Fabry-Pérot resonators with strongly frequency-dependent mirror reflectivities.
Nur Ismail, Cristine Calil Kores, Dimitri Geskus, and Markus Pollnau, "Mode profiles and Airy distributions of Fabry-Pérot resonators with frequency-dependent mirror reflectivity," Proc. SPIE 10090, Laser Resonators, Microresonators, and Beam Control XIX, 1009011 (Presented at SPIE LASE: February 01, 2017; Published: 20 February 2017); https://doi.org/10.1117/12.2252740.
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