def gaussian_2d(beam_params, bolo_params, mesh):
factor = 2*np.sqrt(2*np.log(2)) #FWHM <--> sigma
sigma = bolo_params.fwhm/factor
#Building a circular Gaussian beam on the 2D mesh
x,y = mesh
beam_kernel = np.exp(-(x**2/(2*sigma**2) + y**2/(2*sigma**2)))
#Normalising the circular Gaussian beam so that the integral is 1
integral = np.sum(beam_kernel)*beam_params.beam_resolution**2
#integral = 2*np.pi*sigma**2
beam_kernel /= integral
if bolo_params.conv_fwhm == 0.0:
return beam_kernel, None
#return <beam_kernel>, <conv_kernel>
else:
conv_kernel, del_x = convolution_kernel.get_beam(beam_params, bolo_params)
beam_kernel = convolve2d(beam_kernel, conv_kernel, mode="same")*beam_params.beam_resolution
return beam_kernel, conv_kernel
def gaussian_2d(beam_params, bolo_params, mesh):
factor = 2*np.sqrt(2*np.log(2)) #FWHM <--> sigma
sigma = bolo_params.fwhm/factor
#Building a circular Gaussian beam on the 2D mesh
x,y = mesh
del_x, del_y = bolo_params.pointing_offset_x/60.0, bolo_params.pointing_offset_y/60.0
beam_kernel = np.exp(-((x-del_x)**2/(2*sigma**2) + (y-del_y)**2/(2*sigma**2)))
beam_kernel_symmetric = np.exp(-(x**2/(2*sigma**2) + y**2/(2*sigma**2)))
#Normalising the circular Gaussian beam so that the integral is 1
#integral = np.sum(beam_kernel)*beam_params.beam_resolution**2
integral = 2*np.pi*sigma**2
beam_kernel /= integral
beam_kernel_symmetric /= integral
if bolo_params.conv_fwhm == 0.0:
return beam_kernel, None, beam_kernel_symmetric
#return <beam_kernel>, <conv_kernel>
else:
conv_kernel, del_x = convolution_kernel.get_beam(beam_params, bolo_params)
beam_kernel = convolve2d(beam_kernel, conv_kernel, mode="same")*beam_params.beam_resolution
return beam_kernel, conv_kernel, beam_kernel_symmetric