Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Imaging and transforming transmission through a medium with nonrotation-symmetric gradient index

Not Accessible

Your library or personal account may give you access

Abstract

The objective of this paper is to show that it is possible to transmit a paraxial optical image and transform through a dielectric inhomogeneous medium whose refractive index is given by n2=n12(z)+n02[h1(z)x+h2(z)yg2(z)(x2+y2)], where n0 = n1(0), and n1, g, h1, and h2 are arbitrary functions of z. The optical image transmission, with a scaling factor F = H2(zm), m being an integer, is obtained at planes z = zm such that H1(zm) = 0 (the image condition), and the optical transform transmission is obtained at planes z=z˜m such that H2(z˜m)=0 (the transform condition), where H1(z) and H2(z) are two independent solutions of the paraxial ray equation (z) + g2(z)H(z) = 0 with the initial conditions H1(0) = 0,1(0) = 1,H2(0) = 1, and 2(0) = 0, where the point denotes the derivative with respect to z. Finally, we show that this medium can be represented by a transmittance function similar to the spherical-lens transmittance function and thus can be an element of image-forming systems.

© 1983 Optical Society of America

Full Article  |  PDF Article
More Like This
Paraxial imaging and transforming in a medium with gradient-index: transmittance function

C. Gomez-Reino and E. Larrea
Appl. Opt. 21(23) 4271-4275 (1982)

Imaging, transforming, and modal propagation in a parabolic gradient-index rod

C. Gómez-Reino, E. Larrea, M. V. Pérez, and J. M. Cuadrado
Appl. Opt. 24(24) 4379-4382 (1985)

Imaging and transforming transmission through tapered gradient-index rods: analytical solutions

Carlos Gómez-Reino, Jesús Liñares, and Enrique Larrea
J. Opt. Soc. Am. A 3(10) 1604-1607 (1986)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (1)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (51)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved