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mbtrack2
Commits
7df41cfe
Commit
7df41cfe
authored
9 months ago
by
Keon Hee KIM
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Import _wofz from particles_electromagnetic_fields
parent
2bf4ef51
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1 merge request
!14
Faster CircularResistiveWall
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1 changed file
mbtrack2/impedance/resistive_wall.py
+11
-19
11 additions, 19 deletions
mbtrack2/impedance/resistive_wall.py
with
11 additions
and
19 deletions
mbtrack2/impedance/resistive_wall.py
+
11
−
19
View file @
7df41cfe
...
...
@@ -5,9 +5,9 @@ Define resistive wall elements based on the WakeField class.
import
numpy
as
np
from
scipy.constants
import
c
,
epsilon_0
,
mu_0
from
scipy.special
import
wofz
as
_scipy_wofz
from
mbtrack2.impedance.wakefield
import
Impedance
,
WakeField
,
WakeFunction
from
mbtrack2.tracking.particles_electromagnetic_fields
import
_wofz
def
skin_depth
(
frequency
,
rho
,
mu_r
=
1
,
epsilon_r
=
1
):
...
...
@@ -238,23 +238,13 @@ class CircularResistiveWall(WakeField):
idx2
=
np
.
logical_not
(
idx1
)
wt
[
idx2
]
=
self
.
__TransWakeApprox
(
time
[
idx2
])
return
wt
def
__wofz
(
self
,
z
):
"""
Compute the Faddeeva function w(z) = exp(-z**2) * erfc(-i*z).
Returns
-------
tuple
Real and imaginary parts of the Faddeeva function.
"""
res
=
_scipy_wofz
(
z
)
return
res
.
real
,
res
.
imag
def
__LongWakeExact
(
self
,
t
,
factor
):
w1re
,
_
=
self
.
__wofz
(
1j
*
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
w2re
,
_
=
self
.
__wofz
(
np
.
exp
(
1j
*
np
.
pi
/
6
)
*
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
w1re
,
_
=
_wofz
(
0
,
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
w2re
,
_
=
_wofz
(
np
.
cos
(
np
.
pi
/
6
)
*
np
.
sqrt
(
2
*
t
/
self
.
t0
),
np
.
sin
(
np
.
pi
/
6
)
*
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
wl
=
factor
*
(
4
*
np
.
exp
(
-
1
*
t
/
self
.
t0
)
*
np
.
cos
(
np
.
sqrt
(
3
)
*
t
/
self
.
t0
)
...
...
@@ -262,9 +252,11 @@ class CircularResistiveWall(WakeField):
return
wl
def
__TransWakeExact
(
self
,
t
,
factor
):
w1re
,
_
=
self
.
__wofz
(
1j
*
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
w2re
,
w2im
=
self
.
__wofz
(
np
.
exp
(
1j
*
np
.
pi
/
6
)
*
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
w1re
,
_
=
_wofz
(
0
,
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
w2re
,
w2im
=
_wofz
(
np
.
cos
(
np
.
pi
/
6
)
*
np
.
sqrt
(
2
*
t
/
self
.
t0
),
np
.
sin
(
np
.
pi
/
6
)
*
np
.
sqrt
(
2
*
t
/
self
.
t0
)
)
wt
=
factor
*
(
2
*
np
.
exp
(
-
1
*
t
/
self
.
t0
)
*
(
np
.
sqrt
(
3
)
*
np
.
sin
(
np
.
sqrt
(
3
)
*
t
/
self
.
t0
)
...
...
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