Wave Equations in Classic Electrodynamics, Electrodynamics Potentials, the Green’s Function, the Main Classes of Solutions

  • Eugene I. Nefyodov
  • Sergey M. Smolskiy
Part of the Textbooks in Telecommunication Engineering book series (TTE)


In this chapter, we begin the consecutive description of the main accepted approaches to electromagnetic problems. Traditionally, instead of Maxwell’s equations (Chap.  1), it is acceptable to investigate the so-called wave equations for electrodynamics problems (Sect. 3.1.1, electromagnetic fields and waves) and for acoustics problems (Sect. 3.1.2, sound and ultrasonic acoustic fields and waves). The principal convenience for us of such a transfer to wave equations consists, in particular, in the uniformity of the wave equations for electrodynamics and acoustics. On the other hand, instead of two equations of the first order, we obtain one equation of the second order, which simplifies the task.


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© Springer International Publishing AG, part of Springer Nature 2019

Authors and Affiliations

  • Eugene I. Nefyodov
    • 1
  • Sergey M. Smolskiy
    • 1
  1. 1.Durban Technological University (RSA)DurbanSouth Africa

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