Abstract

We present an analytical derivation of the coupling parameter relating the angle between two interfering beams in a heterodyne interferometer to the differential phase signals detected by a quadrant photodiode. This technique, also referred to as differential wavefront sensing, is commonly used in space-based gravitational wave detectors to determine the attitude of a test mass in one of the interferometer arms from the quadrant diode signals. Successive approximations to the analytical expression are made to simplify the investigation of parameter dependencies. Motivated by our findings, we propose what we believe to be a new measurement method to accurately determine the absolute wavefront curvature of a single measurement beam. We also investigate the change in the coupling parameter when the interferometer “test mirror” is moved from its nominal position, an effect which mediates the coupling of mirror displacement noise into differential phase measurements.

© 2010 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Coupling characterization and noise studies of the optical metrology system onboard the LISA Pathfinder mission

Gerald Hechenblaikner, Rüdiger Gerndt, Ulrich Johann, Peter Luetzow-Wentzky, Vinzenz Wand, Heather Audley, Karsten Danzmann, Antonio Garcia-Marin, Gerhard Heinzel, Miquel Nofrarias, and Frank Steier
Appl. Opt. 49(29) 5665-5677 (2010)

Large radius of curvature measurement based on virtual quadratic Newton rings phase-shifting moiré-fringes measurement method in a nonnull interferometer

Zhongming Yang, Kailiang Wang, Jinlong Cheng, Zhishan Gao, and Qun Yuan
Appl. Opt. 55(17) 4769-4775 (2016)

Noncollimated bidirectional shearing interferometer for measuring a long radius of curvature

Yun Woo Lee, Hyun Mo Cho, Dong Joo Shin, and In Won Lee
Appl. Opt. 36(22) 5317-5320 (1997)

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 (5)

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 (24)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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