Bugfix: scale integral of convolution
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@ -37,6 +37,7 @@ class Airy(IPSF):
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self.__d_aperture = d_aperture
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self.__osf = osf
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self.__pixel_size = pixel_size
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self.__psf_jitter = None
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def calcReducedObservationAngle(self, contained_energy: Union[str, int, float],
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jitter_sigma: u.Quantity = None, obstruction: float = 0.0) -> u.Quantity:
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@ -98,7 +99,7 @@ class Airy(IPSF):
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reduced_observation_angle_pixel = (self.__pixel_size / (
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self.__f_number * self.__d_aperture) * self.__d_aperture / self.__wl).decompose()
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# Calculate the width of each grid element
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dx = reduced_observation_angle_pixel / self.__osf
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dx = reduced_observation_angle_pixel.value / self.__osf
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# Calculate the necessary number of points on the grid
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n_points = np.ceil(grid_width / dx).value
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# Calculate the corresponding x-coordinates of each grid element
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@ -118,14 +119,18 @@ class Airy(IPSF):
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psf = fftconvolve(np.pad(psf, int(n_points), mode="constant", constant_values=0), kernel, mode="same")
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# Reduce the PSF to the positive x-domain
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psf = psf[int((psf.shape[0] - 1) / 2):]
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# Scale the integral of the disturbed PSF equal to the undisturbed PSF
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psf = psf / (np.sum(psf * np.arange(psf.shape[0]) * dx) * dx * 2 * np.pi) * total
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self.__psf_jitter = psf
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if isinstance(contained_energy, str) and contained_energy.lower() == "fwhm":
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reduced_observation_angle = np.argmax(psf < psf[0] / 2) * reduced_observation_angle_pixel.value /\
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reduced_observation_angle = np.argmax(psf < psf[0] / 2) * reduced_observation_angle_pixel.value / \
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self.__osf * 2
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else:
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# Calculate the rolling integral of the PSF
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psf_int = np.cumsum(psf * np.arange(psf.shape[0])) * reduced_observation_angle_pixel.value / self.__osf
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psf_int = np.cumsum(psf * np.arange(psf.shape[0]) * dx) * dx * 2 * np.pi
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# Scale the integral of the disturbed PSF equal to the undisturbed PSF
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psf_int = psf_int / psf_int[-1] * total / (4 / np.pi)
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psf_int = psf_int / (4 / np.pi) * (1 - obstruction) ** 2
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# Calculate the reduced observation angle
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reduced_observation_angle = np.argmax(
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psf_int > contained_energy) * reduced_observation_angle_pixel.value / self.__osf * 2
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@ -29,5 +29,5 @@ class TestAiry(TestCase):
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# Jitter, obstructed
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self.assertAlmostEqual(self.airy.calcReducedObservationAngle("peak", 1 * u.arcsec, 0.04).value, 0.0)
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self.assertAlmostEqual(self.airy.calcReducedObservationAngle("fwhm", 1 * u.arcsec, 0.04).value, 1.725)
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self.assertAlmostEqual(self.airy.calcReducedObservationAngle("min", 1 * u.arcsec, 0.04).value, 2.875)
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self.assertAlmostEqual(self.airy.calcReducedObservationAngle(80., 1 * u.arcsec, 0.04).value, 3.1)
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self.assertAlmostEqual(self.airy.calcReducedObservationAngle("min", 1 * u.arcsec, 0.04).value, 3.325)
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self.assertAlmostEqual(self.airy.calcReducedObservationAngle(80., 1 * u.arcsec, 0.04).value, 3.7)
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