## Designer SurfacesThis book presents an approach to the design and fabrication of optical elements that are based on the use of one- or two-dimensional randomly rough surfaces to reflect or transmit light in specified ways. The reader is provided with an introduction to analytical methods for the solution of direct problems in rough surface scattering, and fabrication techniques. These can be useful in contexts outside the scope of this book. The advantages and disadvantages of this stochastic approach compared to the diffractive optics approach are discussed. Finally, experimental results that verify the predictions of the theories developed in this book are presented. - authority of authors - the only book on the topic - derivations are given in detail, with many figures illustrating results |

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### Contents

1 | |

5 | |

Chapter 3 TwoDimensional Surfaces | 201 |

Chapter 4 Conclusions and Outlook | 307 |

Appendix A The Kernels in the Integral Equations 28772880 | 311 |

Appendix B The Matrix Elements Entering Eqs 28772880 | 313 |

Appendix C The Singularity in Glrr | 315 |

321 | |

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### Common terms and phrases

A.A. Maradudin angle of incidence angular dependence assumed average band-limited uniform diffuser calculated defined by Eq dielectric dielectric function differential reflection coefficient ensemble of realizations estimated from Np expression frequency Gaussian beam geometrical optics geometrical optics limit given by Eq incident field incident light Kirchhoff approximation Lambertian diffuser laser Leskova marginal pdf mean differential reflection mean intensity nonzero normal incidence numerical obtained from Eq one-dimensional randomly rough parameters employed peak perfectly conducting surface photoresist plane x3 Poynting vector probability density function produces a scattered random surface randomly rough surface region x3 retroreflection right-hand side s-polarized light scalar plane wave scattered field scattering amplitude scattering angles scattering problem side of Eq single realization source function specified spectrum surface designed surface plasmon polariton surface profile function surface that produces surface x3 triangle two-dimensional randomly rough values vector wavelength