The Theory of the Moiré Phenomenon: Volume II Aperiodic Layers

ISBN-13: 9789048173730 / Angielski / Miękka / 2010 / 493 str.

Isaac Amidror

Opis

Since The Theory of the Moire 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 moire 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 moire 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 moire effects that occur between correlated random or aperiodic structures. These moire effects are known as Glass patterns, after Leon Glass who described them in the late 1960s. However, this branch of the moire theory remained for many years less widely known and less understood than its periodic or repetitive counterpart: Less widely known because moire 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 moire effects between periodic or repetitive structures.

Recenzje

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)

Spis treści

Preface.- 1. Introduction.- 2. Background and basic notions.- 3. Glass patterns and fixed loci.- 4. Microstructures: dot trajectories and their morpholohgy.- 5. Moiré phenomena between periodic or aperiodic screens.- 6. Glass patterns in the superposition of aperiodic line gratings.- 7. Quantative analysis and synthesis of Glass patterns.- Appendices.- List of notations and symbols.- List of abbreviations.- References.- Index.