Two-dimensional vacuum Crank-Nicolson complete matching layer implementation algorithm based on auxiliary differential equation
A technology of perfect matching layer and differential equation, which is applied in the field of two-dimensional vacuum Crank-Nicolson perfect matching layer realization algorithm, which can solve the problems of increased numerical dispersion, large algorithm error, and unsatisfactory performance, etc.
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[0020] The gist of the present invention is to propose a two-dimensional vacuum Crank-Nicolson complete matching layer realization algorithm based on auxiliary differential equations, and use the Douglas-Gunn solution idea to greatly improve the electromagnetic field calculation speed.
[0021] The embodiments of the present invention will be further described in detail below in conjunction with the accompanying drawings.
[0022] figure 1 It is a flowchart of the present invention, and the specific implementation steps are as follows:
[0023] Step 1: Modify Maxwell’s equations in the frequency domain to Maxwell’s equations with a stretched coordinate operator, and express the modified Maxwell’s equations in the frequency domain in a Cartesian coordinate system. The propagation behavior of TM waves in vacuum can be described as
[0024] - jωH x = c 0 · S ...
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