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# Copyright (c) 2026 Tobias Heibges
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"""
GPU Device Functions (Numba CUDA compatible)
Contains functions designed to be used in Numba CUDA kernels.
These should be compiled with @cuda.jit(device=True) in GPU modules.
"""
import math
[docs]
def device_sellmeier_equation(
wl_um: float,
B1: float,
B2: float,
B3: float,
C1: float,
C2: float,
C3: float,
) -> float:
"""
GPU-compatible Sellmeier equation.
For use in Numba CUDA kernels. Computes refractive index
from wavelength and Sellmeier coefficients.
Parameters
----------
wl_um : float
Wavelength in micrometers.
B1, B2, B3 : float
Sellmeier B coefficients.
C1, C2, C3 : float
Sellmeier C coefficients in μm².
Returns
-------
n : float
Refractive index.
Notes
-----
This function is designed to be compiled with @cuda.jit(device=True).
Import and compile in your GPU module.
"""
wl2 = wl_um * wl_um
n2_minus_1 = B1 * wl2 / (wl2 - C1) + B2 * wl2 / (wl2 - C2) + B3 * wl2 / (wl2 - C3)
return math.sqrt(1.0 + n2_minus_1)
[docs]
def device_cauchy_equation(
wl_um: float,
A: float,
B: float,
C: float,
) -> float:
"""
GPU-compatible Cauchy equation.
For use in Numba CUDA kernels. Computes refractive index
from wavelength and Cauchy coefficients.
Parameters
----------
wl_um : float
Wavelength in micrometers.
A : float
Constant term.
B : float
First-order dispersion coefficient in μm².
C : float
Second-order dispersion coefficient in μm⁴.
Returns
-------
n : float
Refractive index.
Notes
-----
This function is designed to be compiled with @cuda.jit(device=True).
Import and compile in your GPU module.
"""
wl2 = wl_um * wl_um
return A + B / wl2 + C / (wl2 * wl2)