Method visibility improved
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@ -72,7 +72,7 @@ class Airy(IPSF):
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reduced_observation_angle = 1.028
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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 = 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 = "fwhm"
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elif contained_energy.lower() == "min":
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@ -81,15 +81,15 @@ class Airy(IPSF):
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contained_energy = 0.8377 * 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 = fmin(lambda y: self.airy(np.pi * y, np.sqrt(obstruction)),
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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,
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np.sqrt(obstruction)) * u.dimensionless_unscaled
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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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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 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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@ -106,7 +106,7 @@ class Airy(IPSF):
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# Calculate the corresponding x-coordinates of each grid element
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x = np.arange(1, n_points + 1) * dx
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# Calculate the psf from an airy disk for each element on the grid
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psf = self.airy(np.pi * x, np.sqrt(obstruction))
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psf = self.__airy(np.pi * x, np.sqrt(obstruction))
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# Calculate the integral of the undisturbed airy disk in order to scale the result of the convolution
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total = np.sum(psf * x) * dx * 2 * np.pi
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# Mirror the PSF to the negative x-domain
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@ -139,7 +139,7 @@ class Airy(IPSF):
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return reduced_observation_angle * u.dimensionless_unscaled
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@staticmethod
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def airy(x: Union[float, np.ndarray], obstruction: float = None):
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def __airy(x: Union[float, np.ndarray], obstruction: float = None) -> Union[float, np.ndarray]:
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"""
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Calculate function values of the airy disk
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@ -177,7 +177,7 @@ class Airy(IPSF):
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return res
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@staticmethod
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def airy_int(x: float, obstruction: float = None):
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def __airy_int(x: float, obstruction: float = None) -> float:
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"""
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Calculate the integral of the airy disk from 0 to x.
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@ -234,7 +234,7 @@ class Airy(IPSF):
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# Calculate the new PSF-center indices of the reduced mask
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psf_center_ind = [mask.psf_center_ind[0] - y_ind.min(), mask.psf_center_ind[1] - x_ind.min()]
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# Oversample the reduced mask
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mask_red_os = self.rebin(mask_red, self.__osf).view(PixelMask)
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mask_red_os = self._rebin(mask_red, self.__osf).view(PixelMask)
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# Calculate the new PSF-center indices of the reduced mask
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psf_center_ind = [x * self.__osf for x in psf_center_ind]
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@ -247,7 +247,7 @@ class Airy(IPSF):
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0]) * reduced_observation_angle_pixel.value / self.__osf)
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dist = np.sqrt(x_mesh ** 2 + y_mesh ** 2)
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if jitter_sigma is None:
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res = self.airy(dist * np.pi, np.sqrt(obstruction))
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res = self.__airy(dist * np.pi, np.sqrt(obstruction))
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else:
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if self.__psf_jitter is None:
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self.calcReducedObservationAngle("fwhm", jitter_sigma, obstruction)
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@ -257,7 +257,7 @@ class Airy(IPSF):
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fill_value="extrapolate")
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res = psf_interp(dist)
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res = self.rebin(res, 1 / self.__osf)
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res = self._rebin(res, 1 / self.__osf)
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res = (mask_red * res).view(np.ndarray)
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# Integrate the reduced mask and divide by the indefinite integral to get relative intensities
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res = res * (reduced_observation_angle_pixel.value / self.__osf) ** 2 / (4 / np.pi) * (1 - obstruction)
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