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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.
Although this revised edition maintains the general structure of the original book, it also includes some important improvements. It provides additional topics that were not explicitly treated in the first edition, such as the hybrid (1,-1)-moiré effects with 2D intensity profiles (now in Sec. C.14 of Appendix C), the moiré effects between hexagonal screens (now in Sec. C.15 of Appendix C) or the extension of the indicial equations method to the case of 2D screens (in Sec. 11.2). The present edition of the book also includes several new figures and some new or revised problems. New references have been added throughout the book, and all the Internet references have been verified and updated. And finally, cross-references have been added wherever appropriate to the second volume, and in particular to those of its appendices which may be of interest to readers of the present book. Note, however, that the two volumes are basically independent of each other. Each volume thus contains its own Glossary, List of notations and symbols, References and Index.
In preparing this second edition, we have also taken the opportunity to correct errors and typos that crept into the original edition of the book. However, some errors may have been overlooked, and some may have been inadvertently added in this new edition. Such errors, when detected, will be listed along with their corrections in the Internet site of the book, and we therefore encourage readers to inform us of any errors they may find.
The material in this book is based on the author's personal research at the Swiss Federal Institute of Technology of Lausanne (EPFL: Ecole Polytechnique Fédérale de Lausanne), and on his Ph.D. thesis (thesis No. 1341: Analysis of Moiré Patterns in Multi-Layer Superpositions) which won the best EPFL thesis award in 1995.
This work would not have been possible without the support and the excellent research environment provided by the EPFL. In particular, the author wishes to express his gratitude to Prof. Roger D. Hersch, the head of the Peripheral Systems Laboratory of the EPFL, for his encouragement throughout the different stages of this project. Many thanks are also due to the publishers for their helpfulness and availability throughout the publishing cycle.
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