pygrin.pygrin Module

Gradient Index lens calculations and plots.

More documentation at <https://pygrin.readthedocs.io>

Typical usage:

import pygin

length = 7               # mm
diameter = 2             # mm
r = np.linspace(-1,1,11) # mm
n_0 = 1.48               # refractive index at r=0
theta_i = 0              # launch angle
pitch = 0.25             # quarter pitch lens

pygrin.plot_principal_planes(n_0, pitch, length, diameter)
for r_i in r:
    z,r = pygrin.meridional_curve(n_0, pitch, length, r_i, theta_i)
    plt.plot(z,r,color='blue')
plt.show()

Functions to locate focal points and cardinal points:

BFL(n_0, pitch, length)
EFL(n_0, pitch, length)
FFL(n_0, pitch, length)
NA(n_0, pitch, length, diameter)
cardinal_points(n_0, pitch, length)

Functions to find properties of GRIN lens:

gradient(pitch, length)
period(grad, length)
max_angle(n_0, pitch, length, diameter)
ABCD(n_0, pitch, length, z)
image_distance(n_0, pitch, length, s)
image_mag(n_0, pitch, length, s)

Functions to determine refractive index profile:

hyperbolic_secant_profile_index(n_0, alpha, r)
parabolic_profile_index(n_0, pitch, length, r)

Functions to help raytrace through GRIN lens:

full_meridional_curve(n_0, pitch, length, z_obj, r_obj, r_lens)
meridional_curve(n_0, pitch, length, r_i, theta_i)
plot_principal_planes(n_0, pitch, length, diameter)

Functions

ABCD(n_0, pitch, length, z)	ABCD matrix for meridonal ray propagation.
BFL(n_0, pitch, length)	Back focal length of a grin lens.
EFL(n_0, pitch, length)	Effective focal length of a grin lens.
FFL(n_0, pitch, length)	Front focal length of a grin lens.
NA(n_0, pitch, length, diameter)	Numerical aperture of a grin lens in air.
cardinal_points(n_0, pitch, length[, offset])	Cardinal points of a grin lens relative to first surface.
full_meridional_curve(n_0, pitch, length, ...)	Points on a path from an object to image through a GRIN lens.
gradient(pitch, length)	Gradient of a grin lens based on its pitch and length.
hyperbolic_secant_profile_index(n_0, alpha, r)	Index of a hyperbolic secant grin lens at a particular radius.
image_distance(n_0, pitch, length, s)	Image distance for an object.
image_mag(n_0, pitch, length, s)	Transverse magnification of an object located at s.
max_angle(n_0, pitch, length, diameter)	Maximum acceptance angle of a grin lens in air.
meridional_curve(n_0, pitch, length, r_i, ...)	Points on path of a ray passing through a grin lens.
parabolic_profile_index(n_0, pitch, length, r)	Index of a parabolic grin lens at a particular radius.
period(grad, length)	Period or pitch of a grin lens based on its gradient and length.
plot_principal_planes(n_0, pitch, length, ...)	Create a plot for a grin lens showing the cardinal points.