Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Offline estimation of decay time for an optical cavity with a low pass filter cavity model

Not Accessible

Your library or personal account may give you access

Abstract

This Letter presents offline estimation results for the decay-time constant for an experimental Fabry–Perot optical cavity for cavity ring-down spectroscopy (CRDS). The cavity dynamics are modeled in terms of a low pass filter (LPF) with unity DC gain. This model is used by an extended Kalman filter (EKF) along with the recorded light intensity at the output of the cavity in order to estimate the decay-time constant. The estimation results using the LPF cavity model are compared to those obtained using the quadrature model for the cavity presented in previous work by Kallapur et al. The estimation process derived using the LPF model comprises two states as opposed to three states in the quadrature model. When considering the EKF, this means propagating two states and a (2×2) covariance matrix using the LPF model, as opposed to propagating three states and a (3×3) covariance matrix using the quadrature model. This gives the former model a computational advantage over the latter and leads to faster execution times for the corresponding EKF. It is shown in this Letter that the LPF model for the cavity with two filter states is computationally more efficient, converges faster, and is hence a more suitable method than the three-state quadrature model presented in previous work for real-time estimation of the decay-time constant for the cavity.

© 2012 Optical Society of America

Full Article  |  PDF Article
More Like This
Nonlinear estimation of ring-down time for a Fabry-Perot optical cavity

Abhijit G. Kallapur, Toby K. Boyson, Ian R. Petersen, and Charles C. Harb
Opt. Express 19(7) 6377-6386 (2011)

Single-resolution and multiresolution extended-Kalman-filter-based reconstruction approaches to optical refraction tomography

Naren Naik, R. M. Vasu, and M. R. Ananthasayanam
Appl. Opt. 49(6) 986-1000 (2010)

Adjustable active optical low-pass filter

Grigoriy Kreymerman
Appl. Opt. 51(2) 268-272 (2012)

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 Optica member, or as an authorized user of your institution.

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

Figures (1)

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

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

Tables (1)

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

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

Equations (21)

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

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

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved