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The electromagnetic field is described by classical electrodynamics, an example of a classical field theory. This theory describes many macroscopic physical phenomena accurately. [6] However, it was unable to explain the photoelectric effect and atomic absorption spectroscopy, experiments at the atomic scale.
In a linear, macroscopic theory, the influence of matter on the electromagnetic field is described through more general linear transformation in the space of 2-forms. We call : the constitutive transformation. The role of this transformation is comparable to the Hodge duality transformation.
Matthew Nojimu Olanipekun Sadiku from the Prairie View A&M University, Cypress, TX was named Fellow of the Institute of Electrical and Electronics Engineers (IEEE) in 2013 [1] "for contributions to computational electromagnetics and engineering education". He is a co-author of the textbook Fundamental of Electric Circuits with Charles K. Alexander.
The theory provides a description of electromagnetic phenomena whenever the relevant length scales and field strengths are large enough that quantum mechanical effects are negligible. For small distances and low field strengths, such interactions are better described by quantum electrodynamics which is a quantum field theory.
Dudley DG, Mathematical Foundations for Electromagnetic Theory, Wiley-IEEE, 1994. [159] [243] Hanson GW, Yakovlev AB, Operator Theory for Electromagnetics: An Introduction, Springer, 2002. [244] Idemen MM, Discontinuities in the Electromagnetic Field, Wiley-IEEE, 2011. [245]
Maxwell's theory of electromagnetism describes the interaction of charged matter with the electromagnetic field. The first formulation of this field theory used vector fields to describe the electric and magnetic fields. With the advent of special relativity, a more complete formulation using tensor fields was found. Instead of using two vector ...
A theory of electromagnetism, known as classical electromagnetism, was developed by several physicists during the period between 1820 and 1873, when James Clerk Maxwell's treatise was published, which unified previous developments into a single theory, proposing that light was an electromagnetic wave propagating in the luminiferous ether. [26]
The electromagnetic field admits a coordinate-independent geometric description, and Maxwell's equations expressed in terms of these geometric objects are the same in any spacetime, curved or not. Also, the same modifications are made to the equations of flat Minkowski space when using local coordinates that are not rectilinear.