Computer Design of Diffractive Optics

<p>Preface</p> <p>Chapter 1: Main equations of diffraction theory</p> <p>1.1 Maxwell equations</p> <p>1.2 Differential equations in optics</p> <p>1.3 Integral optics theorems</p> <p>1.4 Integral transforms in optics</p> <p>1.5 Methods for solving the direct diffraction problem</p> <p>Conclusion</p> <p>Chapter 2: Diffractive optical transformations</p> <p>2.1 Transformations in optical systems</p> <p>2.2 Diffraction gratings</p> <p>2.3 Flat lenses and prisms</p> <p>2.4 Inverse problem of diffractive optics</p> <p>2.5 The method of coding the phase function of DOE</p> <p>2.6 Discretisation and quantisation of the DOE phase</p> <p>2.7 Computer design and formation of the diffractive microrelief</p> <p>Chapter 3: Calculation of diffractive optical elements in geometrical optics approximation</p> <p>3.1 Calculation of DOE for focusing into a curve in geometrical optics approximation</p> <p>3.2 Curvilinear coordinates in the problem of focusing on a curve</p> <p>3.3 Calculation and investigation of geometrical optics focusators</p> <p>3.4 Focusator into a two-dimensional region. The method of matched rectangles</p> <p>3.5 Correction of wave fronts</p> <p>Conclusion</p> <p>Chapter 4: Calculation of the DOE in the scalar approximation of the diffraction theory</p> <p>4.1 Iterative methods of calculating the DOE</p> <p>4.2 Calculation of the DOEs producing the radial-symmetric intensity distribution</p> <p>4.3 Calculation of one-dimensional diffractive gratings</p> <p>4.4 The equalisation of the intensity of the Gaussian beam</p> <p>4.5 DOE forming contour images</p> <p>4.6 Calculation of quantised DOEs</p> <p>Conclusions</p> <p>Chapter 5: Multi-order diffractive optical elements</p> <p>5.1 Multi-order focusators</p> <p>5.2 Diffractive multi-focus lenses</p> <p>5.3 Two-order DOEs</p> <p>5.4 Spectral DOEs</p> <p>Conclusions</p> <p>Chapter 6: Application of the theory of the electromagnetic field for calculating diffractive gratings</p> <p>6.1 Diffraction on ideally conducting gratings with a stepped profile</p> <p>6.2 Diffraction on the ideally reflecting gratings with a continuous profile (Rayleigh approximation)</p> <p>6.3 Diffraction on dielectric gratings</p> <p>6.4 Gradient methods of calculating the profile of the diffractive gratings</p> <p>6.5 Diffraction on two-dimensional dielectric gratings</p> <p>Conclusions</p> <p>Chapter 7: Methods of the theory of the electromagnetic field in micro-optics</p> <p>7.1 Analysis of the DOE by the method of finite-difference time-domain solution of Maxwell equations</p> <p>7.1.3 Diffraction of the TE mode on the two-dimensional gratings with ideal conductivity</p> <p>7.2 The finite element method in micro-optics</p> <p>Chapter 8: Analysis of transverse modes of laser radiation</p> <p>8.1 Propagation of electromagnetic radiation in optical waveguides</p> <p>8.2 Modans – diffractive optical elements (DOE) matched to laser radiation modes</p> <p>8.3 Calculation of the DOE matched with the characteristics of the gradient medium</p> <p>8.4 DOEs for analysis of the transverse modes of light fields</p> <p>8.5 Selection of modes in free space</p> <p>8.6 Transmission of information with mode-division multiplexing</p> <p>8.7 Fibre optic sensors based on mode selection</p> <p>Chapter 9: Formation of self-reproducing multimode laser beams</p> <p>9.1 Multimode light fields with different properties of self-reproduction</p> <p>9.2 Composition method for the synthesis of DOE forming a multimode beam</p> <p>9.3 Formation of self-reproducing multi-mode laser beams</p> <p>9.4 Formation of several self-reproducing beams in different diffraction orders</p> <p>Conclusion</p> <p>Chapter 10: Optical manipulation of micro–objects by DOE</p> <p>10.1 The strength of interaction of the light field with micro–objects</p> <p>10.2 Light beams to capture micro–objects</p> <p>10.3 The scope of optical manipulation</p> <p>10.4 Motion control of micro–objects using light fields formed by DOE</p> <p>Conclusion</p> <p>Chapter 11: Synthesis of DOE on polycrystalline diamond films</p> <p>11.1 Formation technology of the microrelief on the surface of diamond films</p> <p>11.2 Synthesis and study of thin lenses on diamond films</p> <p>11.3 DOEs focusing CO2-laser radiation in two-dimensional field</p> <p>11.4 Analysis of antireflective subwavelength structures formed on the diamond film</p> <p>11.5 Simulation of a cylindrical diamond DOE with subwavelength technological errors in the microrelief</p> <p>11.6 The influence of local technological errors on efficiency of the DOE</p> <p>11.7 Stochastic optimization of the diamond focuser microrelief taking into account the systematic errors of manufacture</p> <p>11.8 Experimental study of the focuser into a circle</p> <p>Index</p>