Ebook: The Theory of the Moiré Phenomenon

This book presents the most comprehensive and methodical work on the theory of the moir? phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory, covering the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moir?s and moir?s between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular.
Audience: This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moir? effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with the Fourier theory.

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This book presents the most comprehensive and methodical work on the theory of the moir? phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory, covering the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moir?s and moir?s between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular.
Audience: This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moir? effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with the Fourier theory.
Content:
Front Matter....Pages i-xvii
Introduction....Pages 1-8
Background and basic notions....Pages 9-58
Moir? minimization....Pages 59-80
The moir? profile form and intensity levels....Pages 81-108
The algebraic foundation of the spectrum properties....Pages 109-148
Fourier-based interpretation of the algebraic spectrum properties....Pages 149-164
The superposition phase....Pages 165-190
Macro- and microstructures in the superposition....Pages 191-232
Polychromatic moir? effects....Pages 233-248
Moir?s between repetitive, non-periodic layers....Pages 249-352
Other possible approaches for moir? analysis....Pages 353-374
Back Matter....Pages 375-474

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This book presents the most comprehensive and methodical work on the theory of the moir? phenomenon, providing a full general-purpose and application-independent exposition of this fascinating effect. Based on the Fourier theory, it leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains. The first chapters of the book present the basic theory, covering the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moir?s and moir?s between repetitive, non-periodic layers. Throughout the whole text the book favours a pictorial, intuitive approach which is supported by mathematics, and the discussion is accompanied by a large number of figures and illustrative examples, some of which are visually attractive and even spectacular.
Audience: This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moir? effect. It also offers a beautiful demonstration of the Fourier theory and its relationship with other fields of mathematics and science. The prerequisite mathematical background is limited to an elementary familiarity with the Fourier theory.
Content:
Front Matter....Pages i-xvii
Introduction....Pages 1-8
Background and basic notions....Pages 9-58
Moir? minimization....Pages 59-80
The moir? profile form and intensity levels....Pages 81-108
The algebraic foundation of the spectrum properties....Pages 109-148
Fourier-based interpretation of the algebraic spectrum properties....Pages 149-164
The superposition phase....Pages 165-190
Macro- and microstructures in the superposition....Pages 191-232
Polychromatic moir? effects....Pages 233-248
Moir?s between repetitive, non-periodic layers....Pages 249-352
Other possible approaches for moir? analysis....Pages 353-374
Back Matter....Pages 375-474
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