Abstract

The theory of time-averaged holography for static displacements is extended to include three-dimensional vibrations of the most general kind at a single frequency. The introduction of the theory of generalized least squares to solve the nonlinear characteristic equation allows the determination of component amplitudes and phases. The theory is used to analyze the motion of a cylinder with shear-diaphragm ends vibrating in coupled temporal modes and a distorted cylinder vibrating in superposed spatial modes.

© 1978 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Analysis of 3-D vibrations from time-averaged holograms

Renzo Tonin and David Alan Bies
Appl. Opt. 17(23) 3713-3721 (1978)

Determination of the vibrating phase by a time-averaged shadow moire method

Jun-ichiroh Fujimoto
Appl. Opt. 21(23) 4373-4376 (1982)

Effective procedure for determination of unknown vibration frequency and phase using time-averaged digital holography

Mario Stipčević, Nazif Demoli, Hrvoje Skenderović, Martin Lončarić, Anton Radman, Jadranko Gladić, and Davorin Lovrić
Opt. Express 25(9) 10241-10254 (2017)

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 (9)

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 (34)

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