Accurate modeling of photonic devices is essential for the development of new, higher
performance optical components required by current and future high-bandwidth …

AbstactAbstact This paper reviews numerical and approximate methods for the modal
analysis of general optical dielectric waveguides with emphasis on recent developments …

A new edition of the leading textbook on the finite element method, incorporating major
advancements and further applications in the field of electromagnetics The finite element …

New vector finite elements are proposed for electromagnetics. The new elements are
triangular or tetrahedral edge elements (tangential vector elements) of arbitrary polynomial …

This book aims to provide expert guidance to researchers experienced in classical
technology, as well as to those new to the field. A variety of perspectives on Photonic Crystal …

A unified approach using curvilinear hybrid edge/nodal elements with triangular shape is, for
the first time, described for the study of guided-wave problems. Not only the lowest order …

The various types of edge elements and their useful properties are reviewed. Continuity,
singularities, and separation are discussed, with particular reference to tetrahedral …

The problem of constructing hierarchic bases for finite element discretization of the spaces
H1, H (curl), H (div) and L2 on tetrahedral elements is addressed. A simple and efficient …

This paper describes the problem of spurious modes that appear with finite-element
solutions of the vector wave equation. It explains that this problem is caused by inconsistent …

A vector finite element method with the high-order mixed-interpolation-type triangular
elements is described for the analysis of optical waveguiding problems. It is a combination of …