Electromagnetism

Classical theory of electric and magnetic fields unified by Maxwell's equations.


foundation tier

Electromagnetism is a topic within classical physics. Classical theory of electric and magnetic fields unified by Maxwell’s equations. The area sits at the intersection of foundational theory and active research practice, and its methodology is shaped by a small set of canonical references that frame how problems are posed, how results are validated, and what counts as progress.

Work in this area progresses along several axes: the canonical theoretical framework, benchmark problems that calibrate methods against known answers, computational and experimental tooling that extends reach to larger or more complex systems, and frontier questions that current references either open up or partially answer. The references cited below illustrate these axes in different ways and together define the working vocabulary of the field.

Foundational references

The primary references for this topic establish the conceptual core and the standard problem set.

Classical Electrodynamics (Jackson, 1998) is treated here as a primary reference for this area; its presentation of the subject is the canonical entry point for learners moving from prerequisites into independent work on electromagnetism.

Introduction to Electrodynamics (Griffiths, 2017) is treated here as a primary reference for this area; its presentation of the subject is the canonical entry point for learners moving from prerequisites into independent work on electromagnetism.

Open methodological questions in electromagnetism include the precise scope of validity of the current dominant techniques, the integration of newer computational or experimental tools, and how this topic connects to neighbouring areas in the tree. Subsequent waves of editing will deepen these connections and add fresh frontier references as the literature evolves.

Prerequisites

Sources

  • textbook · primary · 1998
    Classical Electrodynamics
    jackson-1998
  • textbook · primary · 2017
    Introduction to Electrodynamics
    griffiths-2017

In context

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  1. 01

    Electrostatics

    Static electric fields, potentials, Gauss's law, and boundary-value problems in dielectrics.

  2. 02

    Magnetostatics

    Steady currents, Biot–Savart law, vector potentials, and magnetic media.

  3. 03

    Maxwell Equations

    The four coupled equations governing classical electromagnetic fields and their wave solutions.

  4. 04

    Electromagnetic Waves

    Propagation, polarization, reflection, refraction, and dispersion of EM waves in vacuum and media.

  5. 05

    Electrodynamics of Continuous Media

    Polarization, magnetization, dispersion, and constitutive relations in matter.

  6. 06

    Radiation Theory

    Multipole radiation, Lienard–Wiechert potentials, and synchrotron and bremsstrahlung emission.

  7. 07

    Waveguides and Resonators

    Guided EM modes, cavity quality factors, and microwave/RF engineering principles.

  8. 08

    Computational Electromagnetics

    Numerical methods (FDTD, FEM, MoM) for solving Maxwell's equations in complex geometries.

  9. 09

    Plasmonics

    Collective electronic oscillations confining and enhancing electromagnetic fields at metal interfaces.

  10. 10

    Transformation Optics

    Coordinate-transformation design of EM media for cloaking and field control.

  11. 11

    Antenna Theory

    Radiation patterns, impedance, and design principles for radiating EM structures.


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