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Page v

Contents

 
 

Preface

 

vii

 
 

Introduction: Generation of Wavefields using Diffractive Optical Elements (DOEs)

 

1

1

 

Parametric Methods of Computing DOEs

 

11

  

1.1  Error reduction algorithm

 

11

  

1.2  Adaptive-additive algorithm

 

15

  

1.3  Adaptive-multiplicative algorithm

 

26

  

1.4  An algorithm for extrapolating and interpolating the DOE phase

 

32

2

 

Iterative Algorithms for Calculating DOEs Forming Radially Symmetrical Images

 

41

  

2.1  Calculation of DOEs forming radially symmetric diffraction patterns

 

42

  

2.2  Calculation of DOEs-axicons

 

47

  

2.3  Calculation of radially symmetric DOEs with quantized phase

 

51

3

 

Iterative Algorithms for Calculating Wavefront Formers

 

61

  

3.1  Computation of phase formers of wavefronts

 

61

  

3.2  Amplitude transparencies for forming wavefronts

 

64

4

 

Calculation of Phase Formers of Light Modes

 

71

  

4.1  Bessel mode formers

 

71

  

4.2  Formers of Bessel quasimodes

 

79

  

4.3  DOEs for the formation of Gaussian modes

 

82

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