Handbook of Optics: Devices, Measurements, and Properties, Volume II, Second Edition

Chapter 31: USE OF COMPUTER-GENERATED HOLOGRAMS IN OPTICAL TESTING

Katherine Creath

Optical Sciences Center
University of Arizona
Tucson, Arizona
and

James C. Wyant

Optical Sciences Center
University of Arizona
Tucson, Arizona
and
WYKO Corporation
Tucson, Arizona

31.1 GLOSSARY

CGH

computer-generated hologram

M

linear, lateral magnification

N

diffracted order number

n

integers

P

number of distortion-free resolution points

r

radius

S

maximum wavefront slope (waves/radius)

x, ? x

distance

? ?

rotational angle error

?

wavefront phase error

?

rotational angle

?

wavelength

( )

wavefront phase described by hologram

31.2 INTRODUCTION

Holography is extremely useful for the testing of optical components and systems. If a master optical component or optical system is available, a hologram can be made of the wavefront produced by the component or system and this stored wavefront can be used to perform null tests of similar optical systems. If a master optical system is not available for making a hologram, a synthetic or a computer-generated hologram (CGH) can be made to provide the reference wavefront.1 10 When an aspheric optical element with a large departure from a sphere is tested, a CGH can be combined with null optics to perform a null test.

There are several ways of thinking about CGHs. For the testing of aspheric surfaces, it is easiest to think of a CGH as a binary representation of the ideal interferogram that would be produced by interfering the reference wavefront with the wavefront produced by a perfect sphere. In the making of the CGH the entire interferometer should be ray traced...

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