Properties of moire magnifiers

Hala Kamal; Reinhard Voelkel; Javier Alda

doi:10.1117/1.601889

1 November 1998 Properties of moire magnifiers

Hala Kamal, Reinhard Voelkel, Javier Alda

Optical Engineering, Vol. 37, Issue 11, (November 1998). https://doi.org/10.1117/1.601889

Moire´ magnification can be observed visually if an array of identical objects is viewed through an array of identical microlenses with a different period. Theoretical analysis and experimental results of the moire´ image obtained by a moire´ magnifier are presented. Conditions for erect and inverted moire´ magnifications are derived and interpreted. Virtual erect images are observed only when the period of the lens array is larger than that of the object array, while inverted images are obtainable in both cases. For equal periods, a uniform field of view results. The relation between the relative size of the periods and the distance between the object and the lens arrays are derived. Expressions for image magnification, orientation and size are deduced. The condition to obtain a demagnified moire´ pattern is deduced. Rotation of the lens array with respect to the object array results in rotation of the erect and inverted moire´ patterns in similar and opposite directions, respectively.

Citation Download Citation

Hala Kamal, Reinhard Voelkel, and Javier Alda "Properties of moire magnifiers," Optical Engineering 37(11), (1 November 1998). https://doi.org/10.1117/1.601889

Published: 1 November 1998

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available