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    <title>Dataset for &quot;Asymmetric Backward Peaking Radiation Pattern from a Relativistic Particle Accelerated by Lightning Leader Tip Electric Field&quot;</title>
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    <keywords>Mathematical code, Particle Acceleration, Bremsstrahlung, Atmospheric Electrodynamics, Radiation Patterns of a Charged Relativistic particle, Theoretical Physics, Theoretical Modelling, Mathematical Physics</keywords>
    <note>The mathematical Maple code is just the mathematical code version of the actual, original theory created from scratch on paper. Maple code is just used to simulate the constructed theory. In order to run the code, start from the very beginning of the code where it says `restart;`. In addition, `restart;` is just there to clear the memory of the Maple software every time when simulating new results with new parameters or with different equations. This enables Maple to get rid of any unrequired numbers, definitions or assumptions that could cause confusions in the results of the new simulation.

Supplementary PDF file &quot;Bremsstrahlung In High Density Mediums&quot; is an extension of the bremsstrahlung process mathematical model into different, high density mediums. The final equation presented in the publication defining novel radiation patterns has been extended to processes taking place in different mediums by changing the speed of emitted electromagnetic radiation from the speed of light in vacuum, &quot;c&quot;, to the speed of light in different mediums. This in turn reveals a second novel asymmetry which is an asymmetry of the previously introduced novel bremsstrahlung asymmetry. Under vacuum conditions where the speed of emitted electromagnetic radiation is the speed of light in a vacuum, &quot;c&quot;, there is no asymmetry in the novel bremsstrahlung asymmetry about an axis perpendicular to the velocity vector (or direction of motion). When the particle travels and radiates in high density mediums such as water, where the speed of emitted electromagnetic radiation reduces, the novel bremsstrahlung asymmetry is no longer symmetric about an axis perpendicular to the velocity vector (bremsstrahlung asymmetry does not occur at same magnitude between forward and backward peaking lobes).</note>
    <abstract>The purpose of the data is to mathematically model radiation intensity and patterns around a single charged relativistic/non-relativistic particle (electron) specifically for the bremsstrahlung process where the particle is assumed to be rotating in anti-clockwise direction. The dataset consists of four separate Maple worksheets. The first one models the bremsstrahlung particle trajectory. The second one models particle velocity from the leader tip electric field that accelerates particles to relativistic speeds. The third and fourth are worksheets that model the radiation patterns of the bremsstrahlung process around a charged relativistic/non-relativistic particle and it incorporates all the information used in first and second Maple worksheets about particle trajectory and the leader tip electric field, and hence the particle velocity arising from the electric field.

Version 2 of this dataset introduces two additional resources:

1. Maple code &quot;Extended Bremsstrahlung to High Density Mediums&quot; models the bremsstrahlung radiation pattern in high density mediums.

2. Supplementary PDF file &quot;Bremsstrahlung In High Density Mediums&quot; is an extension of the published bremsstrahlung process mathematical model &quot;Asymmetric Backward Peaking Radiation Pattern from a Relativistic Particle Accelerated by Lightning Leader Tip Electric Field&quot; into different, high density mediums.</abstract>
    <date>2022-04-21</date>
    <publisher>University of Bath</publisher>
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        <funder_id>https://doi.org/10.13039/501100000266</funder_id>
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        <project_name>Studentship - Electromagnetic Emissions from Energetic Charged Particles Generated by Lightning Discharges</project_name>
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        <funder_id>https://doi.org/10.13039/501100000847</funder_id>
        <project_name>Studentship - Electromagnetic Emissions from Energetic Charged Particles Generated by Lightning Discharges</project_name>
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        <funder_name>Natural Environment Research Council</funder_name>
        <funder_id>https://doi.org/10.13039/501100000270</funder_id>
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        <project_name>Radio Tomography for Atmospheric Science</project_name>
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        <funder_name>Natural Environment Research Council</funder_name>
        <funder_id>https://doi.org/10.13039/501100000270</funder_id>
        <grant_id>NE/H024921/1</grant_id>
        <project_name>Relativistic Electron Beams Above Thunderclouds</project_name>
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        <funder_id>https://doi.org/10.13039/501100000266</funder_id>
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