The Experts below are selected from a list of 285 Experts worldwide ranked by ideXlab platform

Weng Cho Chew - One of the best experts on this subject based on the ideXlab platform.

  • Discrete Electromagnetic Theory with exterior calculus
    2016 Progress in Electromagnetic Research Symposium (PIERS), 2016
    Co-Authors: Shu Chen, Weng Cho Chew
    Abstract:

    A self-contained Electromagnetic Theory is developed on a simplicial lattice. Instead of dealing with vectorial field, discrete exterior calculus (DEC) studies the discrete differential forms of electric and magnetic fields. Circumcenter dual is adopted to achieve diagonality and simplicity of Hodge star operators. In this paper, Gauss' theorem and Stokes' theorem are shown to be satisfied inherently. Many other Electromagnetic theorems, like reciprocity theorem, can be derived on this simplicial lattice consistently with an appropriate definition of wedge product between forms. The preservation of these theorems guarantees that this treatment of Maxwell's equations will not lead to spurious solutions.

  • lattice Electromagnetic Theory from a topological viewpoint
    Journal of Mathematical Physics, 1999
    Co-Authors: Fernando L Teixeira, Weng Cho Chew
    Abstract:

    The language of differential forms and topological concepts are applied to study classical Electromagnetic Theory on a lattice. It is shown that differential forms and their discrete counterparts (cochains) provide a natural bridge between the continuum and the lattice versions of the Theory, allowing for a natural factorization of the field equations into topological field equations (i.e., invariant under homeomorphisms) and metric field equations. The various potential sources of inconsistency in the discretization process are identified, distinguished, and discussed. A rationale for a consistent extension of the lattice Theory to more general situations, such as to irregular lattices, is considered.

  • Electromagnetic Theory on a lattice
    Journal of Applied Physics, 1994
    Co-Authors: Weng Cho Chew
    Abstract:

    A self‐contained Electromagnetic Theory is derived on a regular lattice. The discretized form of integral and differential calculus, which is called discrete calculus, is used to describe this Theory. It is shown that discrete forms of Gauss’ theorem, Stokes’ theorem, Green’s theorem, and Huygens’ principle can be derived. Moreover, many Electromagnetic theorems can also be derived in this discretized world, for example, reciprocity theorem, uniqueness theorem, and Poynting’s theorem. The preservation of these theorems and the conservation of charge imply that the use of this discretized form of Maxwell’s equations for numerical simulation will not give rise to spurious solutions due to spurious charges.

Nader Engheta - One of the best experts on this subject based on the ideXlab platform.

  • Fractional derivatives, fractional integrals and Electromagnetic Theory
    Computational Electromagnetics and Its Applications, 1999. Proceedings. (ICCEA '99) 1999 International Conference on, 1999
    Co-Authors: Nader Engheta
    Abstract:

    Summary form only given. Fractional derivatives/integrals are mathematical operators involving differentiation/integration to arbitrary noninteger orders-orders that may be fractional or even complex. These operators, which possess interesting mathematical properties, have been studied in the field of fractional calculus. In our study, we have applied the tools of fractional calculus in various problems in Electromagnetic fields and waves, and have obtained interesting results that highlight certain notable features and promising potential applications of these operators in Electromagnetic Theory. Furthermore, since fractional derivatives/integrals are effectively the result of fractionalization of differentiation and integration operators, we have investigated the notion of fractionalization of some other linear operators in Electromagnetic Theory. Searching for such operator fractionalization has led us to novel solutions, interpretable as "fractional solutions", for certain Electromagnetic problems. A brief review of general principles, definitions, and some of the features of fractional derivatives/integrals are given. Then we present an overview of some fractional mathematical operators involving our ideas and findings in developing the differentiation/integration to arbitrary fractional paradigm in electromagnetism and its potential applications, and we discuss some specific cases in detail. Physical insights into these results are also provided and future directions in this area are addressed.

  • Fractional calculus and fractional paradigm in Electromagnetic Theory
    MMET Conference Proceedings. 1998 International Conference on Mathematical Methods in Electromagnetic Theory. MMET 98 (Cat. No.98EX114), 1998
    Co-Authors: Nader Engheta
    Abstract:

    The paper begins by discussing fractional derivatives and integrals; leading on to the fractional paradigm in Electromagnetic Theory. A brief review of some applications is given, including EM propagation, electrostatics and antennas.

Raj Mittra - One of the best experts on this subject based on the ideXlab platform.

  • Fractional Paradigm in Electromagnetic Theory
    Frontiers in Electromagnetics, 2020
    Co-Authors: Douglas H. Werner, Raj Mittra
    Abstract:

    In this chapter, an overview of some of our recent work in the use of fractional calculus in Electromagnetic Theory and development of fractional paradigm in electromagnetism is given. The general trend among the cases that we have studied and have reviewed here is fractionalization of some appropriate operators in these problems. The ?>fractional operator ?> derived in each case provides us with a tool to obtain ?>fractional ?> intermediate situations between the canonical cases in each of these problems. The fractional multipoles, electrostatic fractional image methods, fractional solutions to the conventional Helmholtz equation, and fractional duality in electromagnetism using the fractional curl operator are among the case studies that in recent years we have introduced and investigated, and they are reviewed here. These problems have motivated us toward the development of fractional paradigm in Electromagnetic Theory. The review that is provided in this chapter highlights some of the main points and major results that we have obtained in these problems.

Azim Eskandarian - One of the best experts on this subject based on the ideXlab platform.

  • A micromorphic Electromagnetic Theory
    International Journal of Solids and Structures, 2004
    Co-Authors: James D. Lee, Youping Chen, Azim Eskandarian
    Abstract:

    This work is concerned with the determination of both macroscopic and microscopic deformations, motions, stresses, as well as Electromagnetic fields developed in the material body due to external loads of thermal, mechanical, and Electromagnetic origins. The balance laws of mass, microinertia, linear momentum, moment of momentum, energy, and entropy for microcontinuum are integrated with the Maxwell's equations. The constitutive Theory is constructed. The finite element formulation of micromorphic Electromagnetic physics is also presented. The physical meanings of various terms in the constitutive equations are discussed. © 2003 Elsevier Ltd. All rights reserved.

Azeemuddin Syed - One of the best experts on this subject based on the ideXlab platform.

  • T4E - A Web-Based Virtual Laboratory for Electromagnetic Theory
    2013 IEEE Fifth International Conference on Technology for Education (t4e 2013), 2013
    Co-Authors: Vasu Pulijala, Arjun R. Akula, Azeemuddin Syed
    Abstract:

    Electromagnetic Theory is one of the core subjects in Electrical/Electronics and Communication Engineering. It involves many concepts that are abstract and difficult to visualize, hence learning or teaching it is a challenge. This paper presents a web based virtual laboratory for Electromagnetic Theory course taught at undergraduate level, which can be used as a didactic tool by teachers and as a self learning tool by students. A set of ten topics have been chosen which broadly cover the basics of Electromagnetic Theory. The laboratory helps the students to visualize and experiment with abstract concepts of Electromagnetic Theory. It also contains Theory supporting the experiment to aid teaching-learning process. The laboratory contains evaluation sections to assess student's understanding before and after performing virtual experiment. Assessment of the virtual lab done by evaluating students and feedback about the laboratory collected from both teachers and students are presented.

  • A Web-Based Virtual Laboratory for Electromagnetic Theory
    2013 IEEE Fifth International Conference on Technology for Education (t4e 2013), 2013
    Co-Authors: Vasu Pulijala, Arjun R. Akula, Azeemuddin Syed
    Abstract:

    Electromagnetic Theory is one of the core subjects in Electrical/Electronics and Communication Engineering. It involves many concepts that are abstract and difficult to visualize, hence learning or teaching it is a challenge. This paper presents a web based virtual laboratory for Electromagnetic Theory course taught at undergraduate level, which can be used as a didactic tool by teachers and as a self learning tool by students. A set of ten topics have been chosen which broadly cover the basics of Electromagnetic Theory. The laboratory helps the students to visualize and experiment with abstract concepts of Electromagnetic Theory. It also contains Theory supporting the experiment to aid teaching-learning process. The laboratory contains evaluation sections to assess student's understanding before and after performing virtual experiment. Assessment of the virtual lab done by evaluating students and feedback about the laboratory collected from both teachers and students are presented.