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Page vi

5

 

Design of Multiorder Diffraction Gratings with a Pregiven Intensity of Diffraction Orders

 

95

  

5.1  Gradient method with analytical initial approximation for multiorder binary gratings design

 

95

  

5.2  Iterative calculation of multilevel phase diffraction gratings

 

104

6

 

Iterative Methods for Calculating Multifocus DOEs

 

115

  

6.1  Multifocus focusators

 

116

  

6.2  Multifocus zone plates and nonlinear combined effects diffractive elements

 

127

  

6.3  Diffractive multifocus lens

 

136

  

6.4  Computation of two-order DOEs

 

143

7

 

Calculation of DOEs for Some Special Applications

 

147

  

7.1  Focusing into a transverse line segment

 

147

  

7.2  Focusing of Gaussian beam into a square

 

157

  

7.3  Focusing into a ring

 

164

  

7.4  Focusing into an axial segment

 

174

 
 

Conclusion

 

189

Appendix A

 

Proof of convergence of the adaptive-additive algorithm

 

191

Appendix B

 

Proof of convergence of the algorithm for computing phase formers of wavefronts

 

195

Appendix C

 

Proof of convergence of the algorithm for calculating amplitude transparencies for the formation of wavefronts

 

199

Appendix D

 

Proof of convergence of the algorithm for computing formers of Bessel modes

 

201

Appendix E

 

Proof of convergence of the algorithm for calculating formers of orthogonal modes

 

205

Appendix F

 

Iterative design of DOEs modulating the coherent light polarization

 

209

Appendix G

 

Iterative design of reflection diffraction gratings using the Kirchhoff-Beckmann and Rayleigh approximations

 

219

 

References

 

231

 

Index

 

241

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