Producing a Radiative Electric Field: Difference between revisions
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The following is a vPython model of Radiative Electric Field due to an instant of acceleration (a "kick") on a charged particle. | The following is a vPython model of Radiative Electric Field due to an instant of acceleration (a "kick") on a charged particle. | ||
[https://trinket.io/glowscript/ | [https://trinket.io/glowscript/ee59ac4ec0 3d Radiation vPython Model] | ||
The acceleration vector, an initial kick in the | The acceleration vector, an initial kick in the +x direction, is represented by the yellow arrow in the center. The orange arrows seen in the model represent <math>\vec{E}_{radiative}</math> and the cyan arrows represent the corresponding <math>\vec{B}_{radiative}</math> at distance '''r''' from the particle. | ||
==Examples== | ==Examples== | ||
===Simple=== | ===Simple=== | ||
An electron at the origin is kicked in the | An electron at the origin is kicked in the -y direction. At observation location (0, 0, 1), what is the direction of the radiative electric field? | ||
The radiative electric field at this location is the traverse electric field, which always has a direction opposite the direction of <math>\vec{a}_\perp</math>. Thus, <math>\vec{E}_{radiative}</math> at the observation location points in the | The radiative electric field at this location is known as the traverse electric field, which always has a direction opposite the direction of <math>\vec{a}_\perp</math>. Thus, <math>\vec{E}_{radiative}</math> at the observation location points in the +y direction. | ||
===Middling=== | ===Middling=== | ||
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==Connectedness== | ==Connectedness== | ||
#How is this topic connected to something that you are interested in? | #How is this topic connected to something that you are interested in? | ||
This topic relates to my personal interest in software design. | |||
#How is it connected to your major? | #How is it connected to your major? | ||
As a computer science student in the Media thread, radiative effects are integral to modeling and animating light sources. Luminance, or the total light present in a space, is generated according to an integral of vectors over <math>k</math>, all possible outward direction vectors from the light source. As the vectors representing the rays of light expand outward, they will interact with physical objects to create shadows, or other lights to create more intense or different-colored light. This is similar to how the <math>vec{E}</math> and <math>vec{B}</math> fields may change and distort upon interacting with other fields as they extend outward. | |||
#Is there an interesting industrial application? | #Is there an interesting industrial application? | ||
Revision as of 17:48, 7 December 2015
This page explains the relationship between measured radiative electric field and the properties of charges in a system.
Calculating Radiative Electric Field
Maintained by Charles Kilpatrick --Ck (talk) 14:18, 18 November 2015 (EST)
A Mathematical Model
The radiative electric field can be generally modeled as [math]\displaystyle{ \vec{E}_{radiative} = \frac{1}{4 \pi \epsilon_0} \frac{-q \vec{a}_\perp}{c^2r} }[/math] where q is the charge of the accelerated particle, [math]\displaystyle{ \vec{a}_\perp }[/math] is the projected acceleration, c is the speed of light and r is the distance between the charge and the observation location.
A Computational Model
The following is a vPython model of Radiative Electric Field due to an instant of acceleration (a "kick") on a charged particle.
The acceleration vector, an initial kick in the +x direction, is represented by the yellow arrow in the center. The orange arrows seen in the model represent [math]\displaystyle{ \vec{E}_{radiative} }[/math] and the cyan arrows represent the corresponding [math]\displaystyle{ \vec{B}_{radiative} }[/math] at distance r from the particle.
Examples
Simple
An electron at the origin is kicked in the -y direction. At observation location (0, 0, 1), what is the direction of the radiative electric field?
The radiative electric field at this location is known as the traverse electric field, which always has a direction opposite the direction of [math]\displaystyle{ \vec{a}_\perp }[/math]. Thus, [math]\displaystyle{ \vec{E}_{radiative} }[/math] at the observation location points in the +y direction.
Middling
Difficult
Connectedness
- How is this topic connected to something that you are interested in?
This topic relates to my personal interest in software design.
- How is it connected to your major?
As a computer science student in the Media thread, radiative effects are integral to modeling and animating light sources. Luminance, or the total light present in a space, is generated according to an integral of vectors over [math]\displaystyle{ k }[/math], all possible outward direction vectors from the light source. As the vectors representing the rays of light expand outward, they will interact with physical objects to create shadows, or other lights to create more intense or different-colored light. This is similar to how the [math]\displaystyle{ vec{E} }[/math] and [math]\displaystyle{ vec{B} }[/math] fields may change and distort upon interacting with other fields as they extend outward.
- Is there an interesting industrial application?
History
Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.
See also
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Further reading
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External links
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References
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