Publication result detail

Analytic description of wave fields in focal regions of diffractive lenses

CHMELÍK, R.

Original Title

Analytic description of wave fields in focal regions of diffractive lenses

English Title

Analytic description of wave fields in focal regions of diffractive lenses

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

Key words in English

wave optics, focal region, focusing, diffractive optics, holographic optical elements

Authors

CHMELÍK, R.

Released

01.01.1996

ISBN

0950-0340

Periodical

JOURNAL OF MODERN OPTICS

Volume

43

Number

7

State

United Kingdom of Great Britain and Northern Ireland

Pages from

1463

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",
  pages="8",
  issn="0950-0340"
}