sfs.fd.sdm¶
Compute SDM driving functions.
import matplotlib.pyplot as plt
import numpy as np
import sfs
plt.rcParams['figure.figsize'] = 6, 6
xs = -1.5, 1.5, 0
# normal vector for plane wave:
npw = sfs.util.direction_vector(np.radians(-45))
f = 300 # Hz
omega = 2 * np.pi * f
grid = sfs.util.xyz_grid([-2, 2], [-2, 2], 0, spacing=0.02)
array = sfs.array.linear(32, 0.2, orientation=[0, -1, 0])
def plot(d, selection, secondary_source):
p = sfs.fd.synthesize(d, selection, array, secondary_source, grid=grid)
sfs.plot2d.amplitude(p, grid)
sfs.plot2d.loudspeakers(array.x, array.n, selection * array.a, size=0.15)
Functions
|
Driving function for 2-dimensional SDM for a virtual line source. |
|
Driving function for 2.5-dimensional SDM for a virtual plane wave. |
|
Driving function for 2-dimensional SDM for a virtual plane wave. |
|
Driving function for 2.5-dimensional SDM for a virtual point source. |
- sfs.fd.sdm.line_2d(omega, x0, n0, xs, *, c=None)[source]¶
Driving function for 2-dimensional SDM for a virtual line source.
- Parameters
omega (float) – Angular frequency of line source.
x0 ((N, 3) array_like) – Sequence of secondary source positions.
n0 ((N, 3) array_like) – Sequence of normal vectors of secondary sources.
xs ((3,) array_like) – Position of line source.
c (float, optional) – Speed of sound.
- Returns
d ((N,) numpy.ndarray) – Complex weights of secondary sources.
selection ((N,) numpy.ndarray) – Boolean array containing
True
orFalse
depending on whether the corresponding secondary source is “active” or not.secondary_source_function (callable) – A function that can be used to create the sound field of a single secondary source. See
sfs.fd.synthesize()
.
Notes
The secondary sources have to be located on the x-axis (y0=0). Derived from [SA09], Eq.(9), Eq.(4).
Examples
d, selection, secondary_source = sfs.fd.sdm.line_2d( omega, array.x, array.n, xs) plot(d, selection, secondary_source)
- sfs.fd.sdm.plane_2d(omega, x0, n0, n=[0, 1, 0], *, c=None)[source]¶
Driving function for 2-dimensional SDM for a virtual plane wave.
- Parameters
omega (float) – Angular frequency of plane wave.
x0 ((N, 3) array_like) – Sequence of secondary source positions.
n0 ((N, 3) array_like) – Sequence of normal vectors of secondary sources.
n ((3,) array_like, optional) – Normal vector (traveling direction) of plane wave.
c (float, optional) – Speed of sound.
- Returns
d ((N,) numpy.ndarray) – Complex weights of secondary sources.
selection ((N,) numpy.ndarray) – Boolean array containing
True
orFalse
depending on whether the corresponding secondary source is “active” or not.secondary_source_function (callable) – A function that can be used to create the sound field of a single secondary source. See
sfs.fd.synthesize()
.
Notes
The secondary sources have to be located on the x-axis (y0=0). Derived from [Ahr12], Eq.(3.73), Eq.(C.5), Eq.(C.11):
\[D(\x_0,k) = k_\text{pw,y} \e{-\i k_\text{pw,x} x}\]Examples
d, selection, secondary_source = sfs.fd.sdm.plane_2d( omega, array.x, array.n, npw) plot(d, selection, secondary_source)
- sfs.fd.sdm.plane_25d(omega, x0, n0, n=[0, 1, 0], *, xref=[0, 0, 0], c=None)[source]¶
Driving function for 2.5-dimensional SDM for a virtual plane wave.
- Parameters
omega (float) – Angular frequency of plane wave.
x0 ((N, 3) array_like) – Sequence of secondary source positions.
n0 ((N, 3) array_like) – Sequence of normal vectors of secondary sources.
n ((3,) array_like, optional) – Normal vector (traveling direction) of plane wave.
xref ((3,) array_like, optional) – Reference point for synthesized sound field.
c (float, optional) – Speed of sound.
- Returns
d ((N,) numpy.ndarray) – Complex weights of secondary sources.
selection ((N,) numpy.ndarray) – Boolean array containing
True
orFalse
depending on whether the corresponding secondary source is “active” or not.secondary_source_function (callable) – A function that can be used to create the sound field of a single secondary source. See
sfs.fd.synthesize()
.
Notes
The secondary sources have to be located on the x-axis (y0=0). Eq.(3.79) from [Ahr12].
Examples
d, selection, secondary_source = sfs.fd.sdm.plane_25d( omega, array.x, array.n, npw, xref=[0, -1, 0]) plot(d, selection, secondary_source)
- sfs.fd.sdm.point_25d(omega, x0, n0, xs, *, xref=[0, 0, 0], c=None)[source]¶
Driving function for 2.5-dimensional SDM for a virtual point source.
- Parameters
omega (float) – Angular frequency of point source.
x0 ((N, 3) array_like) – Sequence of secondary source positions.
n0 ((N, 3) array_like) – Sequence of normal vectors of secondary sources.
xs ((3,) array_like) – Position of virtual point source.
xref ((3,) array_like, optional) – Reference point for synthesized sound field.
c (float, optional) – Speed of sound.
- Returns
d ((N,) numpy.ndarray) – Complex weights of secondary sources.
selection ((N,) numpy.ndarray) – Boolean array containing
True
orFalse
depending on whether the corresponding secondary source is “active” or not.secondary_source_function (callable) – A function that can be used to create the sound field of a single secondary source. See
sfs.fd.synthesize()
.
Notes
The secondary sources have to be located on the x-axis (y0=0). Driving function from [SA10], Eq.(24).
Examples
d, selection, secondary_source = sfs.fd.sdm.point_25d( omega, array.x, array.n, xs, xref=[0, -1, 0]) plot(d, selection, secondary_source)