Aplanatic afocal system using two GRIN lenses with spherical surfaces

Michelle C. Rocha; Alexander V. Goncharov; Christopher Dainty

doi:10.1117/12.2528476

9 September 2019 Aplanatic afocal system using two GRIN lenses with spherical surfaces

Michelle C. Rocha, Alexander V. Goncharov, Christopher Dainty

Proceedings Volume 11105, Novel Optical Systems, Methods, and Applications XXII; 111050C (2019) https://doi.org/10.1117/12.2528476
Event: SPIE Optical Engineering + Applications, 2019, San Diego, California, United States

Abstract

The correction of aberrations is fundamental in optical systems, and one can use lenses with aspheric surfaces, free form surfaces, diffractive optics, metasurfaces, and gradient-index (GRIN) media. Here we propose to use a GRIN structure for correcting spherical aberration and coma in an afocal system. The complexity of having GRIN lenses in the system is balanced by the fact that the external lens surfaces are spherical, for both GRIN lenses are spherical and concentric to one common point, the intermediate focal point. For collimated light, each lens is free from spherical aberration. The whole system can also be free from coma aberration if the Abbe Sine Condition (ASC) is fulfilled. To create an aplanatic afocal system, it is necessary to have a constant ratio between the heights of the incoming and outgoing rays for all rays in the axial beam, so that the angular magnification of the system is preserved. The afocal system presented in this paper has been designed using geometrical optics. An analytical expression to satisfy the ASC has been derived by matching the central refractive index value of the outer surfaces lenses. The system consists of one positive and one negative GRIN lens with their inner surfaces being concentric to the intermediate focus. The angular magnification m is given by the ratio of the radius of curvature of the front surface of the first lens and that of the back surface of the second lens and in our example has been chosen as m = 2.

Citation Download Citation

Michelle C. Rocha, Alexander V. Goncharov, and Christopher Dainty "Aplanatic afocal system using two GRIN lenses with spherical surfaces", Proc. SPIE 11105, Novel Optical Systems, Methods, and Applications XXII, 111050C (9 September 2019); https://doi.org/10.1117/12.2528476

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
8 PAGES

DOWNLOAD PAPER SAVE TO MY LIBRARY

GET CITATION

RIGHTS & PERMISSIONS

Get copyright permission Get copyright permission on Copyright Marketplace

KEYWORDS

Monochromatic aberrations

GRIN lenses

Telescopes

Spherical lenses

Distortion

Refractive index

Wavefronts

Show All Keywords

Keywords/Phrases

Search In:

Publication Years