The Theory of the Moiré Phenomenon

1. Front Matter

   Pages I-XV

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2. Introduction

   • Isaac Amidror

   Pages 1-10

3. Background and basic notions

   • Isaac Amidror

   Pages 11-46

4. Glass patterns and fixed loci

   • Isaac Amidror

   Pages 47-104

5. Microstructures: dot trajectories and their morphology

   • Isaac Amidror

   Pages 105-156

6. Moiré phenomena between periodic or aperiodic screens

   • Isaac Amidror

   Pages 157-186

7. Glass patterns in the superposition of aperiodic line gratings

   • Isaac Amidror

   Pages 187-224

8. Quantitative analysis and synthesis of Glass patterns

   • Isaac Amidror

   Pages 225-280

9. Back Matter

   Pages 281-493

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Since The Theory of the Moiré Phenomenon was published it became the main reference book in its field. It provided for the first time a complete, unified and coherent theoretical approach for the explanation of the moiré phenomenon, starting from the basics of the theory, but also going in depth into more advanced research results. However, it is clear that a single book cannnot cover the full breadth of such a vast subject, and indeed, this original volume admittently concentrated on only some aspects of the moiré theory, while other interesting topics had to be left out. Perhaps the most important area that remained beyond the scope of the original book consists of the moiré effects that occur between correlated random or aperiodic structures. These moiré effects are known as Glass patterns, after Leon Glass who described them in the late 1960s. However, this branch of the moiré theory remained for many years less widely known and less understood than its periodic or repetitive counterpart: Less widely known because moiré effects between aperiodic or random structures are less frequently encountered in everyday’s life, and less understood because these effects did not easily lend themselves to the same mathematical methods that so nicely explained the classical moiré effects between periodic or repetitive structures.

• Calc
• DEX
• Mathematica
• Volume
• brandonwiskunde
• calculus
• glass
• layers
• mathematics
• pattern
• patterns
• time

From the reviews:

"This book on Moiré phenomena in aperiodic layers appears as a second volume of the same author after the one dedicated to the more familiar periodic case … . the knowledge of the first volume is not required for the understanding of the second volume, which covers, so to say, the whole field. … The exposition is exemplary. … Each chapter is complemented by many nicely commented problems and exercises, and in one of the appendices one finds the glossary of the main terms." (Aloysio Janner, Zentralblatt MATH, Vol. 1130 (8), 2008)

"The present book is devoted to the theory of the Moiré phenomenon (MP) for aperiodic layers. … the book is self-contained, the theory is clearly presented, there are a lot of interesting examples and exercises, and all terms are carefully defined and explained. … the present book is an excellent monograph on GP domains. … will constitute a definitive reference on Moiré effects for years to come." (D. Stanomir, Mathematical Reviews, Issue 2009 g)

• Peripheral Systems Laboratory, Ecole Polytechnique Fédérale de Lausanne (EPFL), Switzerland

  Isaac Amidror

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