Related Experiment Video
Updated: Jun 20, 2026
07:56
A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
Published on: September 5, 2019
Probability density function of the intensity in partially polarized speckle fields.
Optics Letters
|September 1, 2009
Summary
Partially polarized speckle patterns are analyzed as a sum of two polarized components. The study derives and experimentally verifies a negative exponential distribution for partially polarized speckle intensity.
Area of Science:
- Optics
- Statistical Optics
- Polarization Optics
Background:
- Speckle patterns arise from the interference of coherent light waves.
- Understanding the statistical properties of speckle is crucial for applications in imaging and metrology.
- Partially polarized light introduces complexities in speckle intensity analysis.
Purpose of the Study:
- To analytically derive the probability density function (PDF) of intensity for partially polarized speckle patterns.
- To compare the derived PDF with existing theoretical results.
- To experimentally validate the derived statistical distribution for partially polarized speckle fields.
Main Methods:
- Modeling partially polarized speckle as a superposition of two linearly polarized speckle patterns.
- Analytical calculation of the intensity PDF using the bivariate Rayleigh distribution.
- Experimental verification of the derived negative exponential distribution.
Main Results:
- The probability density function of intensity for partially polarized speckle was analytically derived.
- A negative exponential distribution was obtained for the intensity of partially polarized speckle fields.
- Experimental results confirmed the theoretical derivation.
Conclusions:
- The negative exponential distribution accurately describes the intensity statistics of partially polarized speckle.
- The superposition model provides a robust framework for analyzing partially polarized speckle.
- This work advances the understanding of speckle statistics in partially polarized light fields.
Related Concept Videos
01:22Intensity 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:
01:27Polar Coordinates: Problem Solving
Directional radiation patterns are central to antenna analysis, as they illustrate how signal strength varies with direction. These patterns are often modeled using polar plots, where the radial distance from the origin represents signal intensity at a given angle. A commonly used idealized form is the four-lobed rose curve, which captures the concept of directional beams in a simplified mathematical form.The four-lobed rose curve, described by r = cos(2θ), features four symmetric lobes, each...
01:29Potential Due to a Polarized Object
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
01:15Integration Applied to Polar Coordinates to Find Areas
A rotating lawn sprinkler with an uneven spray pattern produces a variable reach as it distributes water in different directions. This directional variation in spray distance can be effectively described using polar coordinates, where the distance from the center is represented as a function of the angle of rotation. The path traced by the spray then forms a polar curve, which captures the irregularities in the sprinkler’s reach across the full rotation.To calculate the total area watered by...
01:20IR Spectrum Peak Intensity: Dipole Moment
The dipole moment of a bond is the product of the partial charge on either atom and the distance between them. Dipole moments influence the efficiency of IR absorption and the peak intensity. When a bond with a dipole moment is placed in an electric field, the direction of the field determines if the bond is compressed or stretched. Electromagnetic radiation consists of an electric field component that rapidly reverses direction. It follows that polar bonds are alternately stretched and...
01:22Energy Carried By Electromagnetic Waves
Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun's warmth. At other times, it is subtle, such as the unfelt energy of gamma rays, which can destroy living cells. Electromagnetic waves bring energy into a system through their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave,...