Related Experiment Video
Updated: Apr 18, 2026

12:14
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
22.7K
Computational approaches for generating electromagnetic Gaussian Schell-model sources.
Optics Express
|January 22, 2015
Summary
Two methods for creating electromagnetic Gaussian-Schell sources are presented. These techniques, using random phase or transmittance screens, allow for designing sources with specific properties for simulations and experiments.
Area of Science:
- Optics and Photonics
- Electromagnetism
- Wave Phenomena
Background:
- Electromagnetic Gaussian-Schell model sources are crucial for various optical applications.
- Generating these sources with precise characteristics can be challenging.
- Existing methods may lack flexibility or require complex setups.
Purpose of the Study:
- To present and compare two distinct methodologies for generating electromagnetic Gaussian-Schell model sources.
- To derive the relationships between screen parameters and source characteristics.
- To provide a practical framework for designing tailored electromagnetic sources.
Main Methods:
- Utilizing sequences of random phase screens at the source plane.
- Employing sequences of random complex transmittance screens.
- Deriving analytical relationships between screen parameters and source properties.
Main Results:
- Successfully derived the relationships between screen parameters and electromagnetic Gaussian-Schell model source parameters.
- Validated both methodologies through numerical simulations.
- Demonstrated consistency between simulation results and established theoretical models.
Conclusions:
- Both random phase and complex transmittance screen methods are effective for generating electromagnetic Gaussian-Schell model sources.
- These methodologies offer a controllable approach to designing sources with pre-defined characteristics.
- The findings facilitate the creation of custom sources for advanced wave optics simulations and laboratory experiments.
Related Concept Videos
Gauss's Law: Problem-Solving
3.1K
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
3.1K
Generating Electromagnetic Radiations
8.8K
The German physicist Heinrich Hertz (1857–1894) was the first to generate and detect certain types of electromagnetic waves in the laboratory. Starting in 1887, he performed a series of experiments that confirmed the existence of electromagnetic waves and verified that they travel at the speed of light. Hertz used an alternating-current RLC (resistor-inductor-capacitor) circuit that resonated at a known frequency and connected it to a loop of wire. High voltages induced across the gap in...
8.8K
Gauss's Law
10.7K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
10.7K
Plane Electromagnetic Waves I
5.4K
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...
The EM field is assumed to be a...
5.4K
Gauss's Law: Spherical Symmetry
10.1K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has...
10.1K
Gauss's Law: Cylindrical Symmetry
10.2K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
10.2K

