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
Related Articles
Analysis of a data-based TV–holography system used to measure small vibration amplitudes

Svein Ellingsrud and Geir Ove Rosvold
J. Opt. Soc. Am. A 9(2) 237-251 (1992)

Time-averaged shadow-moiré method for studying vibrations

Y. Y. Hung, C. Y. Liang, J. D. Hovanesian, and A. J. Durelli
Appl. Opt. 16(6) 1717-1719 (1977)

Analysis of 3-D vibrations from time-averaged holograms

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

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