Diffractive optics involves the manipulation of light using diffractive optical elements (DOEs). DOEs are being widely applied in such areas as telecommunications, electronics, laser technologies and biomedical engineering. Computer design of diffractive optics provides an authoritative guide to the principles and applications of computer-designed diffractive optics.

The theoretical aspects underpinning diffractive optics are initially explored, including the main equations in diffraction theory and diffractive optical transformations. Application of electromagnetic field theory for calculating diffractive gratings and related methods in micro-optics are discussed, as is analysis of transverse modes of laser radiation and the formation of self-replicating multimode laser beams. Key applications of DOEs reviewed include geometrical optics approximation, scalar approximation and optical manipulation of micro objects, with additional consideration of multi-order DOEs and synthesis of DOEs on polycrystalline diamond films.

With its distinguished editor and respected team of expert contributors, Computer design of diffractive optics is a comprehensive reference tool for professionals and academics working in the field of optical engineering and photonics.

Key Features

  • Explores the theoretical aspects underpinning diffractive optics
  • Discusses key applications of diffractive optical elements
  • A comprehensive reference for professionals and academics in optical engineering and photonics


Professionals and academics working in the field of optical engineering and photonics.

Table of Contents


Chapter 1: Main equations of diffraction theory

1.1 Maxwell equations

1.2 Differential equations in optics

1.3 Integral optics theorems

1.4 Integral transforms in optics

1.5 Methods for solving the direct diffraction problem


Chapter 2: Diffractive optical transformations

2.1 Transformations in optical systems

2.2 Diffraction gratings

2.3 Flat lenses and prisms

2.4 Inverse problem of diffractive optics

2.5 The method of coding the phase function of DOE

2.6 Discretisation and quantisation of the DOE phase

2.7 Computer design and formation of the diffractive microrelief

Chapter 3: Calculation of diffractive optical elements in geometrical optics approximation

3.1 Calculation of DOE for focusing into a curve in geometrical optics approximation

3.2 Curvilinear coordinates in the problem of focusing on a curve

3.3 Calculation and investigation of geometrical optics focusators

3.4 Focusator into a two-dimensional region. The method of matched rectangles

3.5 Correction of wave fronts


Chapter 4: Calculation of the DOE in the scalar approximation of the diffraction theory

4.1 Iterative methods of calculating the DOE

4.2 Calculation of the DOEs producing the radial-symmetric intensity distribution

4.3 Calculation of one-dimensional diffractive gratings

4.4 The equalisation of the intensity of the Gaussian beam

4.5 DOE forming contour images

4.6 Calculation of quantised DOEs


Chapter 5: Multi-order diffractive optical elements

5.1 Multi-order focusators

5.2 Diffractive multi-focus lenses

5.3 Two-order DOEs

5.4 Spectral DOEs


Chapter 6: Application of the theory of the electromagnetic field for calculating diffractive gratings


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© 2013
Woodhead Publishing
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About the author

V A Soifer

Dr Victor A. Soifer is the Director of the Russian Academy of Science’s Institute of Image Processing Systems.

Affiliations and Expertise

Russian Academy of Sciences, Russia