Date: Thu, 28 Mar 2024 07:48:52 -0700 (PDT)
Message-ID: <1226844156.7106.1711637332875@co.atl-prod-01>
Subject: Exported From Confluence
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T3P is a 3D parallel finite-element time-domain solver to calcul=
ate transient field response of a electromagnetic structure to imposed fiel=
ds, and dipole or beam excitations.
In our approach, Ampere's and Faraday's laws are combined and integrated=
over time to yield the inhomogeneous vector wave equation for the time int=
egral of the electric field E:
with permittivity and permeability . In the current implementation, a consta=
nt value of the effective conductivity is assumed by fixing a frequency , and =
the losses are specified by the loss tangent . As is common for Wakefield com=
putations of rigid beams, the electric current source density J is given by=
a one-dimensional Gaussian particle distribution, moving at the speed of l=
ight along the beam line.
The computational domain is discretized into curved tetrahedral elements=
and in Eq. (1) is represented as an expansion in hierarchical Whitney vecto=
r basis functions
up to order within each element. For illustration, the numbers of basis fun=
ctions for first, second and sixth order are , and , respectively. Higher =
order elements (both curved and with higher-order basis functions) not only=
significantly improve field accuracy and dispersive properties, but also g=
enerally lead to higher-order accurate particle-field coupling equivalent t=
o, but much less laborious than, complicated higher-order interpolation sch=
emes commonly found in finite-difference methods.
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