ITERATIVE METHODS FOR DIFFRACTIVE OPTICAL ELEMENTS COMPUTATION
Soifer V.A., Kotlyar Victor., Doskolovich Leonid
Taylor & Francis Routledge
TABLE OF CONTENTS
Preface vii
Introduction: Generation of Wavefields using Diffractive Optical Elements (DOEs) 12 (1-1)
1. Parametric Methods of Computing DOEs 22 (1-11)
1.1 Error reduction algorithm 22 (1-11)
1.2 Adaptive-additive algorithm 26 (1-15)
1.3 Adaptive-multiplicative algorithm 38 (1-26)
1.4 An algorithm for extrapolating and interpolating the DOE phase 44 (1-32)
2. Iterative Algorithms for Calculating DOEs Forming Radially Symmetrical Images 53 (1-41)
2.1 Calculation of DOEs forming radially symmetric diffraction patterns 54 (1-42)
2.2 Calculation of DOEs-axicons 60 (1-47)
2.3 Calculation of radially symmetric DOEs with quantized phase 64 (1-51)
3. Iterative Algorithms for Calculating Wavefront Formers 77 (1-61)
3.1 Computation of phase formers of wavefronts 77 (1-61)
3.2 Amplitude transparencies for forming wavefronts 80 (1-64)
4 Calculation of Phase Formers of Light Modes 87 (1-71)
4.1 Bessel mode formers 87 (1-71)
4.2 Formers of Bessel quasimodes 96 (1-79)
4.3 DOEs for the formation of Gaussian modes 100 (1-82)
5. Design of Multiorder Diffraction Gratings with a Pregiven Intensity of Diffraction Orders 113 (1-95)
5.1 Gradient method with analytical initial approximation for multiorder binary gratings design 113 (1-95)
5.2 Iterative calculation of multilevel phase diffraction gratings 123 (1-104)
6. Iterative Methods for Calculating Multifocus DOEs 137 (1-115)
6.1 Multifocus focusators 138 (1-116)
6.2 Multifocus zone plates and nonlinear combined effects diffractive elements 149 (1-127)
6.3 Diffractive multifocus lens 160 (1-136)
6.4 Computation of two-order DOEs 167 (1-143)
7. Calculation of DOEs for Some Special Applications 171 (1-147)
7.1 Focusing into a transverse line segment 171 (1-147)
7.2 Focusing of Gaussian beam into a square 184 (1-157)
7.3 Focusing into a ring 191 (1-164)
7.4 Focusing into an axial segment 202 (1-174)
Conclusion 217 (1-189)
A Appendix A Proof of convergence of the adaptive-additive algorithm 219 (1-191)
B Appendix B Proof of convergence of the algorithm for computing phase formers of wavefronts 224 (1-195)
C Appendix C Proof of convergence of the algorithm for calculating amplitude transparencies for the formation of wavefronts 228 (1-199)
D Appendix D Proof of convergence of the algorithm for computing formers of Bessel modes 230 (1-201)
E Appendix E Proof of convergence of the algorithm for calculating formers of orthogonal modes 234 (1-205)
F Appendix F Iterative design of DOEs modulating the coherent light polarization 238 (1-209)
G Appendix G Iterative design of reflection diffraction gratings using the Kirchhoff-Beckmann and Rayleigh approximations 250 (1-219)
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References 263 (1-231)
Index 273 (1-241)