A numerical tour of wave propagation
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Discretization of NPML
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Discretization
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Higher-order approximation of staggered-grid
Discretization of SPML
Take
for an example. Using the 2nd-order approximation in Eq. (
31
), we expand it at the time
and the point
(41)
That is to say,
(42)
At time
and
, we expand
as
(43)
Thus, we have
(44)
In summary,
(45)
If we define:
(46)
we can easily find that
is a good approximation of
up to 2nd order, allowing for the 2nd order Pade expansion:
(47)
Then, we have
(48)
A numerical tour of wave propagation
Next:
Discretization of NPML
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Discretization
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Higher-order approximation of staggered-grid
2021-08-31