The Fabry-Pérot resonator: Spectral line shapes, generic and related Airy distributions, linewidths, finesses, and performance at low or frequency-dependent reflectivity
2016 (English)In: Optics Express, ISSN 1094-4087, E-ISSN 1094-4087, Vol. 24, no 15, 16366-16389 p.Article in journal (Refereed) Published
We systematically characterize the Fabry-Pérot resonator. We derive the generic Airy distribution of a Fabry-Pérot resonator, which equals the internal resonance enhancement factor, and show that all related Airy distributions are obtained by simple scaling factors. We analyze the textbook approaches to the Fabry-Pérot resonator and point out various misconceptions. We verify that the sum of the mode profiles of all longitudinal modes is the fundamental physical function that characterizes the Fabry-Pérot resonator and generates the Airy distribution. Consequently, the resonator losses are quantified by the linewidths of the underlying Lorentzian lines and not by the measured Airy linewidth. Therefore, we introduce the Lorentzian finesse which provides the spectral resolution of the Lorentzian lines, whereas the usually considered Airy finesse only quantifies the performance of the Fabry-Pérot resonator as a scanning spectrometer. We also point out that the concepts of linewidth and finesse of the Airy distribution of a Fabry-Pérot resonator break down at low reflectivity. Furthermore, we show that a Fabry-Pérot resonator has no cut-off resonance wavelength. Finally, we investigate the influence of frequency-dependent mirror reflectivities, allowing for the direct calculation of its deformed mode profiles.
Place, publisher, year, edition, pages
Optical Society of America, 2016. Vol. 24, no 15, 16366-16389 p.
Resonators, Optical resonators, Laser resonators
Atom and Molecular Physics and Optics
Research subject Physics
IdentifiersURN: urn:nbn:se:kth:diva-189751DOI: 10.1364/OE.24.016366OAI: oai:DiVA.org:kth-189751DiVA: diva2:948682
ProjectsOptical Ultra Sensors (OPUS)
FunderEU, European Research Council, 63538
QC 201607142016-07-132016-07-132016-07-14Bibliographically approved