Abstract

Optimal linearization in holography is studied from the nonlinear system theory point of view. A generalized optimal linearization method for a physical photographic emulsion is presented. A generalized first-order amplitude transmittance (i.e., the generalized transfer function) with respect to the input irradiance is determined. The application of this optimal linearization technique toward a simple point object hologram is demonstrated, and the extension of this linearized procedure for a more complicated object is also discussed. Finally, it is concluded that, instead of restricting the holographic recording in the linear region of the T-E curve of the photographic emulsion, it is possible to obtain the optimum first-order diffraction image. If the nonlinearity of the holographic recording is weak, it is possible to define a linearization such that it will not be possible to perceive the nonlinear distortion.

© 1969 Optical Society of America

Properties and Limitations of Hologram Recording Materials

John C. Urbach and Reinhard W. Meier
Appl. Opt. 8(11) 2269-2281 (1969)

Image Plane Holography

Gerald B. Brandt
Appl. Opt. 8(7) 1421-1429 (1969)

Holography with Evanescent Waves

Olof Bryngdahl
J. Opt. Soc. Am. 59(12) 1645-1650 (1969)

Temporal Reference Acoustical Holography

A. F. Metherell, S. Spinak, and E. J. Pisa
Appl. Opt. 8(8) 1543-1550 (1969)

Linear Multiple Image Storage

Peter F. Mueller
Appl. Opt. 8(2) 267-273 (1969)