Abstract

The longitudinal optical modes of a Fabry–Perot resonator are investigated. We consider (1) the three- and one-dimensional spectral mode density in free space and in standing-wave resonators, (2) the infinite sum of mode profiles, resulting in the Airy distribution, (3) comparison between a two-mirror resonator and an infinite periodic lensguide, and (4) comparison between a two-mirror resonator and a ring resonator. It is consistently deduced that the two counter-propagating waves with wave vectors $\pm |k_q|$ at the same resonance frequency ${\nu }_q$ and polarization constitute independent optical modes with mode indices $\pm |q|$.

© 2018 Optical Society of America

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