Double surface imaging designs with unconstrained object to image mapping under rotational symmetry

Jiayao Liu; Juan C. Miñano; Pablo Benítez

doi:10.1117/12.2060680

25 September 2014 Double surface imaging designs with unconstrained object to image mapping under rotational symmetry

Jiayao Liu, Juan C. Miñano, Pablo Benítez

Proceedings Volume 9192, Current Developments in Lens Design and Optical Engineering XV; 919205 (2014) https://doi.org/10.1117/12.2060680
Event: SPIE Optical Engineering + Applications, 2014, San Diego, California, United States

Abstract

In this work, we present a novel imaging design formed by two optical surfaces with rotational symmetry. In these designs, both object and image shapes are given but mapping from object to image is obtained through the design process. In the examples considered, the image from a planar object surface is virtual and located at infinity and is seen from a known pupil, which can emulate a human eye. The differential equation method is used to provide single optical surface imaging designs by considering the local properties of the imaging surface and the wavefronts. In the first introductory part, both the rotational symmetrical and the freeform single surface imaging designs are presented using the differential equation method. In these designs, not only the mapping is obtained in the design process, but also the shape of the object is found. In the second part, the method is extended to two surface designs with rotational symmetry and the astigmatism of the image has been studied. By adding one more optical surface to the system, the shape of the rotational symmetrical object can be designed while controlling the tangential rays and sagittal rays simultaneously. As a result, designs without astigmatism (at the small pupil limit) on a planar object surface have been obtained.

Citation Download Citation

Jiayao Liu, Juan C. Miñano, and Pablo Benítez "Double surface imaging designs with unconstrained object to image mapping under rotational symmetry", Proc. SPIE 9192, Current Developments in Lens Design and Optical Engineering XV, 919205 (25 September 2014); https://doi.org/10.1117/12.2060680

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

Members: $17.00

Non-members: $21.00 ADD TO CART

PROCEEDINGS
7 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Wavefronts

Differential equations

Reflectivity

Geometrical optics

Optical design

Freeform optics

Image processing

Show All Keywords

Keywords/Phrases

Search In:

Publication Years