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Chapter 7: Plane Electromagnetic Waves and Wave Propagation; Chapter 8: Waveguides, Resonant Cavities, and Optical Fibers; Chapter 9: Radiating Systems, Multipole Fields and Radiation; Chapter 10: Scattering and Diffraction; Chapter 11: Special Theory of Relativity; Chapter 12: Dynamics of Relativistic Particles and Electromagnetic Fields
An electromagnetic field (also EM field) is a physical field, mathematical functions of position and time, representing the influences on and due to electric charges. [1] The field at any point in space and time can be regarded as a combination of an electric field and a magnetic field .
Classically, electromagnetic radiation consists of electromagnetic waves, which are synchronized oscillations of electric and magnetic fields. In a vacuum, electromagnetic waves travel at the speed of light, commonly denoted c. There, depending on the frequency of oscillation, different wavelengths of electromagnetic spectrum are produced.
If the matter field is taken so as to describe the interaction of electromagnetic fields with the Dirac electron given by the four-component Dirac spinor field ψ, the current and charge densities have form: [2] = † = †, where α are the first three Dirac matrices. Using this, we can re-write Maxwell's equations as:
A changing electromagnetic field propagates away from its origin in the form of a wave. These waves travel in vacuum at the speed of light and exist in a wide spectrum of wavelengths . Examples of the dynamic fields of electromagnetic radiation (in order of increasing frequency): radio waves , microwaves , light ( infrared , visible light and ...
The physicist concentrates his attention on one particular wave: a wave of force, or a wave of velocity or a wave of displacement. His original differential equations may be of the first order and may involve both force and velocity; but by tradition he eliminates one of these variables, obtains a second order differential equation in the other ...
Representation of the electric field vector of a wave of circularly polarized electromagnetic radiation. The electromagnetic force is the second strongest of the four known fundamental forces and has unlimited range. [17] All other forces, known as non-fundamental forces. [18] (e.g., friction, contact forces) are derived from the four ...
In an electromagnetic wave (such as light), coupling between the electric and magnetic fields sustains propagation of waves involving these fields according to Maxwell's equations. Electromagnetic waves can travel through a vacuum and through some dielectric media (at wavelengths where they are considered transparent ).