Wigner algebra as a tool for the design of achromatic optical processing systems

Dayong Wang; Avi Pe'er; Adolf W. Lohmann; Asher A. Friesem

doi:10.1117/1.1313499

1 November 2000 Wigner algebra as a tool for the design of achromatic optical processing systems

Dayong Wang, Avi Pe'er, Adolf W. Lohmann, Asher A. Friesem

Optical Engineering, Vol. 39, Issue 11, (November 2000). https://doi.org/10.1117/1.1313499

Achromatic optical processing systems can perform a variety of operations with temporally incoherent (polychromatic) light, without color blurring. The system design is a complicated task, since usually the scale at the output depends on the wavelength. The design goal is to eliminate this scale dependence as well as two other wavelength- dependent defects. Such a goal is generally achieved by modifying lens design procedures. Here we do it in a different manner. Specifically, we resort to matrix algebra, applied to the Wigner distribution function. The resulting Wigner matrix includes elements that characterize wavelength- dependent parameters of the optical systems. Such a characterization provides a clear insight into what is needed to reduce the wavelength dependence, and indeed achieve the achromatization of the systems. This design approach is valid with either wave optics or geometrical optics. The basic principles and specific design examples of achromatic optical Fourier transformers and Fourier processing systems with low chromatic aberrations over the entire visible spectrum are presented.

Citation Download Citation

Dayong Wang, Avi Pe'er, Adolf W. Lohmann, and Asher A. Friesem "Wigner algebra as a tool for the design of achromatic optical processing systems," Optical Engineering 39(11), (1 November 2000). https://doi.org/10.1117/1.1313499

Published: 1 November 2000

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