Condition of Optical Systems Independent of Frequency for Wide Field-of-View Radio Telescopes

Author

Imada, Hiroaki ; Nagai, Masaharu ; Kino, Masaru ; Seta, Masumichi ; Ishii, Shin ; Nakai, Naomasa

Author_Institution

Dept. of Phys., Univ. of Tsukuba, Tsukuba, Japan

Volume

5

Issue

1

fYear

2015

fDate

Jan. 2015

Firstpage

57

Lastpage

63

Abstract

In this paper, we present a condition of optical systems to form images independent of frequency. The condition independent of frequency in case of a single Gaussian beam on an optical axis has been known, but that in case of a beam propagated off the axis or tilted beam, which appears in a wide field-of-view (FOV) telescope, has not been known. We first show relations between an arbitrary electric field on an object plane and an induced one on an image plane after passing through a lens with calculating Fresnel diffraction integrals. If the lens formula is met, there is a one-to-one correspondence between points on the object and image plane. This result enables to use geometrical optical methods. The condition and relations derived here are confirmed by simulations. We also applied them to a wide-FOV telescope.

Keywords

Fresnel diffraction; Gaussian distribution; geometrical optics; image processing; laser beams; lenses; object detection; optical images; radiotelescopes; Fresnel diffraction integral calculation; Gaussian beam propagation; arbitrary electric field; geometrical optical methods; image plane; lens formula; object plane; optical axis; optical systems; wide field-of-view radio telescopes; Diffraction; Geometrical optics; Lenses; Mirrors; Optical diffraction; Optical imaging; Telescopes; Electromagnetic diffraction;

fLanguage

English

Journal_Title

Terahertz Science and Technology, IEEE Transactions on

Publisher

ieee

ISSN

2156-342X

Type

jour

DOI

10.1109/TTHZ.2014.2365680

Filename

6960921