Electromagnetic Waves

Electromagnetic waves are oscillating electric and magnetic fields that transport energy through space and matter, making them fundamental to communication, imaging, and the study of physical systems. A changing electric field generates a magnetic field, while a changing magnetic field generates an electric field; these perpendicular fields sustain one another as the wave propagates, including through a vacuum at the speed of light. Radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays form the electromagnetic spectrum and differ primarily in wavelength and frequency. Their properties support wireless transmission, remote sensing, spectroscopy, medical imaging, and investigations of matter and energy.

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JoVE Core - Physics

Electromagnetic Waves

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2023

James Clerk Maxwell formulated a single theory combining all the electric and magnetic effects scientists knew during that time, calling the phenomena his theory predicted “Electromagnetic waves”. He brought together all the work that had been done by brilliant physicists such as Oersted, Coulomb, Gauss, and Faraday and added his own insights to develop the overarching theory of electromagnetism. Maxwell’s equations, combined with the Lorentz force law, encompass all the laws of electricity and...

Plane Electromagnetic Waves I

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2023

The existence of combined electric and magnetic fields that propagate through space as electromagnetic (EM) waves is the most significant prediction of Maxwell's equations. As Maxwell's equations hold in free space, the predicted electromagnetic waves do not require a medium for their propagation. An EM wave comprises an electric field, defined as the force per charge on a stationary charge, and a magnetic field, which is the force per charge on a moving charge. The EM field is assumed to be a...

Plane Electromagnetic Waves II

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2023

Consider a plane wavefront traveling in position x-direction with a constant speed. This wavefront can be utilized to obtain the relationship between electric and magnetic fields with the help of Faraday's law. To apply Faraday's law, consider a rectangle of width a, as shown in the figure.1, whose area vector is in the positive z-direction. To solve the left-hand side integral in Faraday's law, integrate counterclockwise along the rectangle. The electric field is zero along one of the...

Electromagnetic Waves in Matter

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2023

Electromagnetic waves can travel in the vacuum as well as in matter. For example light, which is an electromagnetic wave, can travel through air, water, or glass. Consider the electromagnetic wave passing through a dielectric medium. In such a case, Maxwell's equations get modified. In Ampere's law, ε0 , the dielectric permittivity of free space is replaced with ε, the permittivity of dielectric. Also, the vacuum permeability μ0 is replaced by the permeability of the medium, μ. Furthermore, the...

Standing Electromagnetic Waves

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2023

Electromagnetic waves can be reflected; the surface of a conductor or a dielectric can act as a reflector. As electric and magnetic fields obey the superposition principle, so do electromagnetic waves. The superposition of an incident wave and a reflected electromagnetic wave produces a standing wave analogous to the standing waves created on a stretched string. Suppose a sheet of a perfect conductor is placed in the yz-plane, and a linearly polarized electromagnetic wave traveling in the...

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