Python package for calculating refractive index dispersion of various materials
Project description
ndispers
ndispers is a Python package for calculating refractive index dispersion of various crystals and glasses used in the field of nonlinear/ultrafast optics. It is based on Sellmeier equartions and thermooptic coefficients (dn/dT) reported in literature.
You can easily compute
 Refractive index
 Group delay
 Group velocity
 Group index
 Group velocity dispersion
 Thirdorder dispersion
 Walkoff angles
 dn/dT
 d^2n/dT^2
as a function of
 Wavelength of light
 Polar (theta) or azimuthal (phi) angles of wavevector with respect to dielectric principal axes of anisotropic crystals
 Temperature of crystal
 Polarization of light (ordinary or extraordinaryray)
The crystals have nonlinearoptics methods:
 Phasemismacth, dk
 Phasematching angles
 Phasemathcing factor, sinc^2(dk*L/2)
 Effective nonlinear coefficient, deff
In the latest version v0.2.7, these methods are only for sumfrequency mixing, and deff method only for BetaBBO.
Installation
In terminal,
pip install ndispers
Simple example
Firstly, make an object of βBBO crystal.
>>> import ndispers as nd
>>> bbo = nd.media.crystals.BetaBBO_Eimerl1987()
To look into the material information,
>>> bbo.help
βBBO (βBa B_2 O_4) crystal
 Point group : 3m (C_{3v})
 Crystal system : Trigonal
 Dielectic principal axis, z // caxis (x, yaxes are arbitrary)
 Negative uniaxial, with optic axis parallel to zaxis
 Tranparency range : 0.19 µm to 2.6 µm
Sellmeier equation

n(wl) = sqrt(A_i + B_i/(wl**2  C_i)  D_i * wl**2) + dn/dT * (T  20) for i = o, e
Validity range

0.22 to 1.06 µm
Ref

 Eimerl, David, et al. "Optical, mechanical, and thermal properties of barium borate." Journal of applied physics 62.5 (1987): 19681983.
 Nikogosyan, D. N. "Beta barium borate (BBO)." Applied Physics A 52.6 (1991): 359368.
Example

>>> bbo = ndispers.media.crystals.BetaBBO_Eimerl1987()
>>> bbo.n(0.6, 0.5*pi, 25, pol='e') # args: (wl_um, theta_rad, T_degC, pol)
To compute refractive indices,
>>> bbo.n(0.532, 0, 25, pol='o')
array(1.67488405)
>>> bbo.n(0.532, 3.1416/2, 25, pol='e')
array(1.55546588)
where the four arguments are, respectively,
 wavelength (in micrometer),
 theta angle (in radian),
 temperature (in degree Celsius),
 polarization (
pol='o' or 'e'
, ordinary or extraordinary ray).
Default is pol='o'
. Note that pol='e'
corresponds to pol='o'
in index surface when theta angle is 0 radians.
Output values are generically of numpy.ndarray
type. You can input an array to each argument, getting an output array of the same shape,
>>> import numpy as np
>>> wl_ar = np.arange(0.2, 1.5, 0.2)
>>> wl_ar
array([0.2, 0.4, 0.6, 0.8, 1. , 1.2, 1.4])
>>> bbo.n(wl_ar, 0, 25, pol='o')
array([1.89625189, 1.692713, 1.66892613, 1.66039556, 1.65560236, 1.65199986, 1.64874414])
See documentation for more features and examples.
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