Computer Design of Diffractive Optics

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

• PrefaceChapter 1: Main equations of diffraction theory1.1 Maxwell equations1.2 Differential equations in optics1.3 Integral optics theorems1.4 Integral transforms in optics1.5 Methods for solving the direct diffraction problemConclusionChapter 2: Diffractive optical transformations2.1 Transformations in optical systems2.2 Diffraction gratings2.3 Flat lenses and prisms2.4 Inverse problem of diffractive optics2.5 The method of coding the phase function of DOE2.6 Discretisation and quantisation of the DOE phase2.7 Computer design and formation of the diffractive microreliefChapter 3: Calculation of diffractive optical elements in geometrical optics approximation3.1 Calculation of DOE for focusing into a curve in geometrical optics approximation3.2 Curvilinear coordinates in the problem of focusing on a curve3.3 Calculation and investigation of geometrical optics focusators3.4 Focusator into a two-dimensional region. The method of matched rectangles3.5 Correction of wave frontsConclusionChapter 4: Calculation of the DOE in the scalar approximation of the diffraction theory4.1 Iterative methods of calculating the DOE4.2 Calculation of the DOEs producing the radial-symmetric intensity distribution4.3 Calculation of one-dimensional diffractive gratings4.4 The equalisation of the intensity of the Gaussian beam4.5 DOE forming contour images4.6 Calculation of quantised DOEsConclusionsChapter 5: Multi-order diffractive optical elements5.1 Multi-order focusators5.2 Diffractive multi-focus lenses5.3 Two-order DOEs5.4 Spectral DOEsConclusionsChapter 6: Application of the theory of the electromagnetic field for calculating diffractive gratings6.1 Diffraction on ideally conducting gratings with a stepped profile6.2 Diffraction on the ideally reflecting gratings with a continuous profile (Rayleigh approximation)6.3 Diffraction on dielectric gratings6.4 Gradient methods of calculating the profile of the diffractive gratings6.5 Diffraction on two-dimensional dielectric gratingsConclusionsChapter 7: Methods of the theory of the electromagnetic field in micro-optics7.1 Analysis of the DOE by the method of finite-difference time-domain solution of Maxwell equations7.1.3 Diffraction of the TE mode on the two-dimensional gratings with ideal conductivity7.2 The finite element method in micro-opticsChapter 8: Analysis of transverse modes of laser radiation8.1 Propagation of electromagnetic radiation in optical waveguides8.2 Modans – diffractive optical elements (DOE) matched to laser radiation modes8.3 Calculation of the DOE matched with the characteristics of the gradient medium8.4 DOEs for analysis of the transverse modes of light fields8.5 Selection of modes in free space8.6 Transmission of information with mode-division multiplexing8.7 Fibre optic sensors based on mode selectionChapter 9: Formation of self-reproducing multimode laser beams9.1 Multimode light fields with different properties of self-reproduction9.2 Composition method for the synthesis of DOE forming a multimode beam9.3 Formation of self-reproducing multi-mode laser beams9.4 Formation of several self-reproducing beams in different diffraction ordersConclusionChapter 10: Optical manipulation of micro–objects by DOE10.1 The strength of interaction of the light field with micro–objects10.2 Light beams to capture micro–objects10.3 The scope of optical manipulation10.4 Motion control of micro–objects using light fields formed by DOEConclusionChapter 11: Synthesis of DOE on polycrystalline diamond films11.1 Formation technology of the microrelief on the surface of diamond films11.2 Synthesis and study of thin lenses on diamond films11.3 DOEs focusing CO2-laser radiation in two-dimensional field11.4 Analysis of antireflective subwavelength structures formed on the diamond film11.5 Simulation of a cylindrical diamond DOE with subwavelength technological errors in the microrelief11.6 The influence of local technological errors on efficiency of the DOE11.7 Stochastic optimization of the diamond focuser microrelief taking into account the systematic errors of manufacture11.8 Experimental study of the focuser into a circleIndex