The Theory of the Moiré Phenomenon

This book offers the most comprehensive and methodical work on the theory of the moiré phenomenon. This new edition is updated and expanded to include additional topics, more figures, and new and revised problems. It also contains much cross-referencing.

Since the first edition of this book was published several new developments have been made in the field of the moiré theory. The most important of these concern new results that have recently been obtained on moiré effects between correlated aperiodic (or random) structures, a subject that was completely absent in the first edition, and which appears now for the first time in a second, separate volume. This also explains the change in the title of the present volume, which now includes the subtitle Volume I: Periodic Layers. This subtitle has been added to clearly distinguish the present volume from its new companion, which is subtitled Volume II: Aperiodic Layers. It should be noted, however, that the new subtitle of the present volume may be somewhat misleading, since this book also treats (in Chapters 10 and 11) moiré effects between repetitive layers, which are, in fact, geometric transformations of periodic layers, that are generally no longer periodic in themselves. The most suitable subtitle for the present volume would therefore have been Periodic or Repetitive Layers, but in the end we have decided on the shorter version.

Most comprehensive and methodical work on the theory of the moiré phenomenon Provides a general purpose, application-independent exposition of the subject Favours a pictorial, intuitive approach which is supported by mathematics Expanded with the inclusion of additional topics, more figures, and new and revised problems, cross-referencing

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This is a new, revised and updated edition of the original book by Isaac Amidror. It presents the most comprehensive and methodical work on the theory of the moiré 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 which covers the superposition of monochrome, periodic layers. In later chapters the theory is extended to the even more interesting cases of polychromatic moirés and moirés 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.

This book is intended for students, scientists, engineers and any readers who wish to widen their knowledge of the moiré 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 calculus and with the Fourier theory.

Contenu
Background and basic notions.- Moiré minimization.- The moiré profile form and intensity levels.- The algebraic foundation of the spectrum properties.- Fourier-based interpretation of the algebraic spectrum properties.- The superposition phase.- Macro- and microstructures in the superposition.- Polychromatic moiré effects.- Moirés between repetitive, non-periodic layers.- Other possible approaches for moiré analysis.