计算介质的介电常数仿真
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2 | ELECTRIC SENSOR
Introduction
This example illustrates — in a simplified electrostatic setting — electric impedance
tomography (EIT), a method used for imaging of the distribution of electrical permittivity
in an object. The tomography is performed by measuring currents and voltages at the
object’s surface.
An application of this technique is medical diagnosis. Due to the different electrical
properties of various organs and parts of the body, it is possible to obtain information on
their position and movement in a non-invasive way.
This model shows how to determine from the outside the shape and the placement of small
objects with different material properties inside a box. Applying a potential difference on
the boundaries of the box creates a surface charge density that varies depending on the
permittivity distribution inside the box.
Model Definition
This model solves Gauss’ law with ρ=0:
The box contains air with ε
r
equal to 1. The different objects are made of materials with
different values of the relative permittivity, ε
r
: 1, 2, and 3.
To get a voltage difference, a ground condition (V = 0) is set on the bottom while the
condition V = 1 is applied on the top of the box. On the side, the boundary condition used
is electric insulation: n · D = 0.
Results and Discussion
As seen in Figure 1, the surface charge density is higher in correspondence of materials
with higher permittivity, as expected. An imaging of the figures inside the box is
reproduced in the surface charge density plot.
∇ε
0
ε
r
∇V()⋅– ρ=
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2301_769759832024-05-02资源内容详实，描述详尽，解决了我的问题，受益匪浅，学到了。
