Publication detail
Analytic description of wave fields in focal regions of diffractive lenses
CHMELÍK, R.
English title
Analytic description of wave fields in focal regions of diffractive lenses
Type
journal article - other
Language
en
Original abstract
On the assumption that the transmission function of a diffractive lens is periodical, the Kirchhoff diffraction integral is evaluated analytically in the paraxial region. The amplitude of the wave is expressed in terms of the infinite series which rapidly converges in the vicinity of the focal point. Hence, only a small number of terms provides an acceptable approximation of the amplitude in this region. The new formalism includes also axial locations outside the focal planes. By means of the derived analytical expressions, the image parameters (resolution, depth of field) may be related to the parameters of the diffractive lens.
English abstract
On the assumption that the transmission function of a diffractive lens is periodical, the Kirchhoff diffraction integral is evaluated analytically in the paraxial region. The amplitude of the wave is expressed in terms of the infinite series which rapidly converges in the vicinity of the focal point. Hence, only a small number of terms provides an acceptable approximation of the amplitude in this region. The new formalism includes also axial locations outside the focal planes. By means of the derived analytical expressions, the image parameters (resolution, depth of field) may be related to the parameters of the diffractive lens.
Keywords in English
wave optics, focal region, focusing, diffractive optics, holographic optical elements
RIV year
1996
Released
01.01.1996
ISSN
0950-0340
Journal
Journal of Modern Optics
Volume
43
Number
7
Pages count
8
BIBTEX
@article{BUT38191,
author="Radim {Chmelík},
title="Analytic description of wave fields in focal regions of diffractive lenses",
journal="Journal of Modern Optics",
year="1996",
volume="43",
number="7",
month="January",
issn="0950-0340"
}