Bugfix: calculate FWHM for jitter
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@ -67,12 +67,11 @@ class Airy(IPSF):
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elif contained_energy.lower() == "fwhm":
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# Width of the FWHM of the airy disk
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reduced_observation_angle = 1.028
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contained_energy = 0.4738 * u.dimensionless_unscaled
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if not np.isclose(obstruction, 0.0):
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# Use obstructed airy disk
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reduced_observation_angle = newton(lambda y: self.airy(np.pi * y, np.sqrt(obstruction)) - 0.5,
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reduced_observation_angle / 2) * 2
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contained_energy = self.airy_int(np.pi * reduced_observation_angle / 2, np.sqrt(obstruction))
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contained_energy = "fwhm"
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elif contained_energy.lower() == "min":
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# Width of the first minimum of the airy disk
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reduced_observation_angle = 1.22 * 2
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@ -81,20 +80,22 @@ class Airy(IPSF):
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# Use obstructed airy disk
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reduced_observation_angle = fmin(lambda y: self.airy(np.pi * y, np.sqrt(obstruction)),
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reduced_observation_angle / 2, disp=False)[0] * 2
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contained_energy = self.airy_int(np.pi * reduced_observation_angle / 2, np.sqrt(obstruction))
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contained_energy = self.airy_int(np.pi * reduced_observation_angle / 2,
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np.sqrt(obstruction)) * u.dimensionless_unscaled
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else:
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# Calculate the width numerically from the integral of the airy disk
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contained_energy = contained_energy / 100 * u.dimensionless_unscaled
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reduced_observation_angle = 2 * bisect(
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lambda y: self.airy_int(np.pi * y, np.sqrt(obstruction)) - contained_energy.value, 0, 100)
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if jitter_sigma is not None:
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if jitter_sigma is not None and (isinstance(contained_energy, u.Quantity) or isinstance(contained_energy, str)
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and contained_energy.lower() == "fwhm"):
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# Convert jitter to reduced observation angle in lambda / d_ap
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jitter_sigma = jitter_sigma.to(u.rad).value * self.__d_aperture / self.__wl.to(u.m)
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# Calculate necessary grid length to accommodate the psf and 3-sigma of the gaussian
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grid_width = (reduced_observation_angle / 2 + 3 * jitter_sigma)
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# Calculate the reduced observation angle of a single detector pixel
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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)
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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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# Calculate the necessary number of points on the grid
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@ -117,13 +118,17 @@ class Airy(IPSF):
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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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# 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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# 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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# 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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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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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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# 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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# 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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return reduced_observation_angle * u.dimensionless_unscaled
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