and Applied Analysis 3 Remark 1. (a) In (12) and (13), if we set d = 2a, we recover (5) and (6), respectively. (b) Using (12) and (13), Kim et al. [12] have obtained the following extension of transformation (7) due to Kummer:

door Esther van Loon geboren te Arnhem No part of this thesis may be reproduced, stored in a retrieval system or transmitted in any form or by any means without permission from the author or, when appropriate, from the publishers of the publications.

A semiclassical coupled-wave theory is developed for TE waves in one-dimensional periodic structures. The theory is used to calculate the bandwidths and reflection/transmission characteristics of such structures, as functions of the incident wave frequency. The results are in good agreement with exact numerical simulations for an arbitrary angle of incidence and for any achievable refractive in...

Effects in composite volume Bragg gratings (VBGs) are studied theoretically and experimentally. The mathematics of reflection is formulated with a unified account of Fresnel reflections by the boundaries and of VBG reflection. We introduce the strength S of reflection by an arbitrary lossless element such that the intensity of reflection is R=tanh(2) S. We show that the ultimate maximum/minimum...

Please note that technical editing may introduce minor changes to the text and/or graphics, which may alter content. The journal’s standard Terms & Conditions and the Ethical guidelines still apply. In no event shall the Royal Society of Chemistry be held responsible for any errors or omissions in this Accepted Manuscript or any consequences arising from the use of any information it contains. ...