Solid Angle Utils

A python-package to help with solid angles.

install

pip install solid_angle_utils

simple conversion of units

Inspired by numpy rad2deg and deg2rad.

import solid_angle_utils

a_sr = solid_angle_utils.squaredeg2sr(10)
print(a)
0.0030461741978670856

a_sqdeg = solid_angle_utils.sr2squaredeg(a_sr)
print(a_sqdeg)
10.0

Cones

Convert solid angle to half angle, and the other way around.

import solid_angle_utils

cone_sa = solid_angle_utils.cone.solid_angle(half_angle_rad=0.1)
0.031389755322205774

cone_ha = solid_angle_utils.cone.half_angle(solid_angle_sr=cone_sa)
0.0999999

solid_angle_utils.cone.half_angle_space(0, 0.1, 3)
array([0.        , 0.07069594, 0.1       ])

Triangles

Estimate the solid angle of a spherical triangle.

import solid_angle_utils
import numpy as np

x, y, z = np.eye(3)
full_sphere_solid_angle = 4 * np.pi

triangle_solid_angle = solid_angle_utils.triangle.solid_angle(
    v0=x, v1=y, v2=z
)

print("Expect 1/8: ", triangle_solid_angle/full_sphere_solid_angle)