# Electromagnetic Theory of Gratings

• Roger Petit
Book

Part of the Topics in Current Physics book series (TCPHY, volume 22)

1. Front Matter
Pages I-XV
2. R. Petit
Pages 1-52
Pages 53-62
4. D. Maystre
Pages 63-100
5. P. Vincent
Pages 101-121
6. M. Nevière
Pages 123-157
7. D. Maystre, M. Nevière, R. Petit
Pages 159-225
8. R. C. McPhedran, G. H. Derrick, L. C. Botten
Pages 227-276
9. Back Matter
Pages 277-286

### Introduction

When I was a student, in the early fifties, the properties of gratings were generally explained according to the scalar theory of optics. The grating formula (which pre­ dicts the diffraction angles for a given angle of incidence) was established, exper­ imentally verified, and intensively used as a source for textbook problems. Indeed those grating properties, we can call optical properties, were taught'in a satisfac­ tory manner and the students were able to clearly understand the diffraction and dispersion of light by gratings. On the other hand, little was said about the "energy properties", i. e. , about the prediction of efficiencies. Of course, the existence of the blaze effect was pointed out, but very frequently nothing else was taught about the efficiency curves. At most a good student had to know that, for an eche­ lette grating, the efficiency in a given order can approach unity insofar as the diffracted wave vector can be deduced from the incident one by a specular reflexion on the large facet. Actually this rule of thumb was generally sufficient to make good use of the optical gratings available about thirty years ago. Thanks to the spectacular improvements in grating manufacture after the end of the second world war, it became possible to obtain very good gratings with more and more lines per mm. Nowadays, in gratings used in the visible region, a spacing small­ er than half a micron is common.

### Keywords

Gitter (Optik) diffraction dispersion electromagnetic electromagnetism energy optics wave

### Editors and affiliations

• Roger Petit
• 1
1. 1.Laboratoire d’Optique Electromagnétique, Faculté des Sciences et Techniques de Saint-JéromeUniversité d’Aix-Marseille IIIMarseille Cédex 13France

### Bibliographic information

• DOI https://doi.org/10.1007/978-3-642-81500-3
• Copyright Information Springer-Verlag Berlin Heidelberg 1980
• Publisher Name Springer, Berlin, Heidelberg
• eBook Packages
• Print ISBN 978-3-642-81502-7
• Online ISBN 978-3-642-81500-3
• Series Print ISSN 0342-6793
• Buy this book on publisher's site
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