Abstract

Fabry–Perot cavities (FPCs) provide a simple and precise alternative to measure the refractive indices of gases and liquids. The performance of an FPC is very sensitive to the quality of its dielectric multilayer mirrors. In this article, a combined ab-initio and transfer-matrix study is carried out for a realistic Fabry–Perot microcavity made of TiO2/SiO2, including interface atomic diffusions and possible layer thickness variations. The refractive indices obtained from the density functional theory are used as the input of cavity transmittance calculations. The performance of such a Fabry–Perot cavity is monitored by the quality factor, finesse, and full width at half maximum (FWHM) of its main resonant peaks. The results confirm the exponential decrease of FWHM with the number of layers and then an exponential growth of the finesse. An analytical solution for the optical transmittance of few-layer cavities is also presented. Furthermore, the results reveal non-uniform shifts of the resonant peaks, due to the presence of a finite-layer interface width or layer thickness fluctuation. Finally, simulated measurements of the refractive indices of CO2 and ethanol by using this ab-initio designed realistic Fabry–Perot microcavity are analyzed in detail.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Behavior of cholesteric liquid crystals in a Fabry–Perot cavity

Zhizhong Zhuang and J. S. Patel
Opt. Lett. 24(23) 1759-1761 (1999)

The effect of silicon loss and fabrication tolerance on spectral properties of porous silicon Fabry-Perot cavities in sensing applications

U. C. Hasar, I. Y. Ozbek, E. A. Oral, T. Karacali, and H. Efeoglu
Opt. Express 20(20) 22208-22223 (2012)

A simple technique for accurate and complete characterisation of a Fabry-Perot cavity

C. R. Locke, D. Stuart, E. N. Ivanov, and A. N. Luiten
Opt. Express 17(24) 21935-21943 (2009)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (10)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription