Skip to main content Accessibility help
×
Hostname: page-component-7479d7b7d-jwnkl Total loading time: 0 Render date: 2024-07-12T14:17:49.320Z Has data issue: false hasContentIssue false

45 - The Shack–Hartmann wavefront sensor

Published online by Cambridge University Press:  31 January 2011

Masud Mansuripur
Affiliation:
University of Arizona
Get access

Summary

Roland Shack invented the device now known as the Shack–Hartmann wavefront sensor in the early 1970s. This sensor, which in recent years has been commercialized, measures the phase distribution over the cross-section of a given beam of light without relying on interference and, therefore, does not require a reference beam.

The standard method of wavefront analysis is interferometry, where one brings together on an observation plane the beam under investigation (hereinafter the test beam) and a reference beam in order to form tell-tale fringes. The trouble with interferometry is that it requires a reference beam, which is not always readily available. Moreover, the coherence length of the light used in these measurements must be long compared with the path-length difference between the reference and test beams. Thus, when the available light source happens to be broad-band, it becomes difficult (though by no means impossible) to produce high-contrast fringes. The Shack–Hartmann instrument solves these problems by eliminating altogether the need for the reference beam.

Wavefront analysis by interferometry

Before embarking on a discussion of the Shack–Hartmann wavefront sensor, it will be instructive to describe the operation of a conventional interferometer. Consider, for instance, the system of Figure 45.1, where a spherical mirror is under investigation. While grinding and polishing the glass blank, the optician frequently performs this type of test to determine departures of the surface from the desired figure. A point source reflected from a 50/50 beam-splitter is used to illuminate the test mirror.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 2009

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Shack, R. V. and Platt, B. C., Production and use of a lenticular Hartmann screen (abstract only), J. Opt. Soc. Am. 61, 656 (1971).Google Scholar
Riekher, R., Fernrohre und ihre Meister, Verlag Technik, Berlin, 1990.Google Scholar
Malacara, D., Optical Shop Testing, second edition, Wiley, New York, 1992.Google Scholar
Shack, R. V. and Hopkins, G. W., The Shack interferometer, SPIE 126, Clever Optics, 139–142 (1977).Google Scholar
Hartmann, J., Bemerkungen uber den Bau und die Justirung von Spektrographen, Z. Instrum. 20, 47 (1900).Google Scholar
Hartmann, J., Objektivuntersuchungen, Z. Instrum. 24, 33 (1904).Google Scholar
Kingslake, R., The absolute Hartmann test, Trans. Opt. Soc. 29, 133 (1927–1928).CrossRefGoogle Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×