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Intensity Of Electromagnetic Waves

Intensity Of Electromagnetic Waves

The energy transport per unit area per unit time, or the Poynting vector, gives the energy flux of an electromagnetic wave at any specific time. For a plane electromagnetic wave with E0 and B0 as the peak electric and magnetic fields and traveling along the x-axis, the time-varying energy flux can be given by the following equation:

Intensity and Pressure of Sound Waves

Intensity and Pressure of Sound Waves

The intensity of sound waves can be related to displacement and pressure amplitudes by using their wave expressions and the definition of intensity. The critical step to achieve this is to write the power delivered by the particles on the wave as the product of force and velocity and simplify the force per unit area as the pressure. The velocity of the medium's particles can be derived from the displacement.
Unlike the time average of a sinusoidal term, which is zero since it is positive and...

Propagation of Waves

Propagation of Waves

When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...

$Interference and Diffraction$ 02:18

Interference and Diffraction

Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.

Energy and Power of a Wave

Energy and Power of a Wave

The total energy associated with a wavelength is the sum of the potential energy and the kinetic energy. The average rate of energy transfer associated with a wave is called its power, which is total energy divided by the time it takes to transfer the energy. For a sinusoidal wave, energy and power are proportional to the square of both the amplitude and the angular frequency.
Waves can also be concentrated or spread out, as characterized by the intensity of the wave. Intensity is directly...

Interference and Superposition of Waves

Interference and Superposition of Waves

When two waves of the same nature occur in the same region simultaneously, they result in interference. Interference of waves implies that the net effect of the waves is the sum of the individual waves' effects. However, it does not imply that the individual waves affect the propagation of other waves.
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...

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Related Experiment Video

Updated: Jun 15, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

Published on: October 11, 2016

Intensity properties of partially coherent beam waves.

M A Plonus, C F Ouyang, S C Wang

|March 18, 2010

Summary

The extended Huygens-Fresnel principle analyzes partially coherent beam waves in atmospheric turbulence. Optimal infrared wavelengths enhance beam wave propagation, with a calculated factor for focal point shifts.

Area of Science:

Optics and Photonics
Atmospheric Physics
Wave Propagation

Background:

Partially coherent beam waves are crucial in optical communication and remote sensing.
Atmospheric turbulence significantly affects beam wave propagation, leading to intensity fluctuations and beam spreading.
Understanding these effects is vital for designing robust optical systems operating in atmospheric conditions.

Purpose of the Study:

To investigate the lateral coherence and average on-axis intensity of partially coherent beam waves in turbulent atmospheres.
To calculate the factor influencing the focal point shift of beam waves propagating through turbulence.
To determine the optimal wavelength range for beam wave propagation in atmospheric turbulence.

Main Methods:

Application of the extended Huygens-Fresnel principle.

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Last Updated: Jun 15, 2026

Measurement of X-ray Beam Coherence along Multiple Directions Using 2-D Checkerboard Phase Grating

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Published on: October 11, 2016

Demonstration of Equal-Intensity Beam Generation by Dielectric Metasurfaces

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Shaping the Amplitude and Phase of Laser Beams by Using a Phase-only Spatial Light Modulator

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Mathematical analysis of wave propagation characteristics.

Calculation of a specific factor related to focal point dynamics.

Main Results:

The study quantifies the lateral coherence and average on-axis intensity.
A factor determining the focal point shift toward the source in turbulent media is calculated.
It is demonstrated that infrared wavelengths are optimal for beam wave propagation in atmospheric turbulence.

Conclusions:

The extended Huygens-Fresnel principle provides a robust framework for analyzing beam wave propagation in turbulence.
Focal point shift is a significant phenomenon in atmospheric optical wave propagation.
Infrared wavelengths offer superior performance for beam wave propagation through atmospheric turbulence.