Electromagnetic boundary conditions using differential forms

✍ Scribed by Warnick K., Selfridge R., Arnold D.

Tongue: English
Leaves: 23
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

Proc. Inst. Elec. Eng., vol. 142, no. 4, pp. 326–332, 1995.
This paper develops a new representation for electromagnetic boundary conditions involving a boundary projection operator defined using the interior and exterior products of the calculus of differential forms. This operator expresses boundary conditions for fields represented by differential forms of arbitrary degree. With vector analysis, the field intensity boundary conditions require the cross product, whereas the flux boundary conditions use the inner product. With differential forms, the field intensity and flux density boundary conditions are expressed using a single operator. This boundary projection operator is readily applied in practice, so that our work extends the utility of the calculus of differential forms in applied electromagnetics.

✦ Subjects

Физика;Электродинамика / Электричество и магнетизм

📜 SIMILAR VOLUMES

Boundary Conditions in Electromagnetics

📁 Boundary Conditions in Electromagnetics

✍ Ismo V. Lindell; Ari Sihvola 📂 Library 📅 2020 🏛 Wiley-IEEE Press 🌐 English

A comprehensive survey of boundary conditions as applied in antenna and microwave engineering, material physics, optics, and general electromagnetics research. Boundary conditions are essential for determining electromagnetic problems. Working with engineering problems, they provid

Boundary conditions in electromagnetics

📁 Boundary conditions in electromagnetics

✍ Lindell, Ismo V.; Shivola, Ari 📂 Library 📅 2020 🏛 Wiley 🌐 English

Electromagnetic Green Functions Using Di

📁 Electromagnetic Green Functions Using Differential Forms

✍ Warnick K., Arnold D. 📂 Library 🌐 English

J. Electromagn. Waves and Appl., vol. 10, no. 3, pp. 427–438, 1996. Authors redevelop the scalar and dyadic Green functions of electromagnetic theory using differential forms. The Green dyadic becomes a double form, which is a differential form in one space with coefficients that are forms in a

Teaching electromagnetic field theory us

📁 Teaching electromagnetic field theory using differential forms

✍ Warnic K.F., Selfridge R., Arnold D.V. 📂 Library 🌐 English

The calculus of differential forms has significant advatages over traditional methods as a tool for teaching electromagnetic (EM) field theory. First, forms clarify the realationship between field intnsity and flux density, by providing distinct mathematical and graphical representations for the two

Impedance Boundary Conditions in Electro

📁 Impedance Boundary Conditions in Electromagnetics

✍ Daniel Jay Hoppe, Yahya Rahmat-Samii 📂 Library 📅 1995 🏛 CRC Press 🌐 English

Electromagnetic scattering from complex objects has been an area of in-depth research for many years. A variety of solution methodologies have been developed and utilised for the solution of ever increasingly complex problems. Among these methodologies, the subject of impedance boundary conditions h

Approximate boundary conditions in elect

📁 Approximate boundary conditions in electromagnetics

✍ Senior, Thomas B. A.; Volakis, J. L 📂 Library 📅 1995 🏛 Institution of Electrical Engineers 🌐 English

Non-metallic materials and composites are now commonplace in modern vehicle construction, and the need to compute scattering and other electromagnetic phenomena in the presence of material structures has led to the development of new simulation techniques. This book describes a variety of methods fo