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Cherenkov Radiation in Time Domain

Cherenkov Radiation in Time Domain. 2010.05.15 Chia -Yu, Hu. Cherenkov Pulse in Time Domain. Based on Alvarez-Muniz, arXiv : 1002.3873 Begin with Maxwell equations: Introducing potentials:. Transverse Gauge. Choosing transverse gauge (Coulomb gauge):

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Cherenkov Radiation in Time Domain

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  1. Cherenkov Radiation in Time Domain 2010.05.15 Chia-Yu, Hu

  2. Cherenkov Pulse in Time Domain • Based on Alvarez-Muniz, arXiv: 1002.3873 • Begin with Maxwell equations: • Introducing potentials:

  3. Transverse Gauge • Choosing transverse gauge (Coulomb gauge): • Then solve by the Green’s function method:

  4. Far-field Approximation • In general cases, the term in the source term should be the divergenceless component of the current density. • However, the authors assign it as the projection of current density perpendicular to the observational direction : • This is in fact a far-field approximation. In general, the divergence of the projected component does not vanish. It vanishes as r →∞

  5. How to Get • We have to get without far-field approximation. • Trying to figure out how this can be done numerically.

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