22 lines
648 B
Python
22 lines
648 B
Python
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from __future__ import annotations
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import numpy as np
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from numpy.typing import ArrayLike
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from distributions import BaseDistribution
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from motions import BaseMotion
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def ste(x, a, f_infty, tau, beta):
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return a*((1-f_infty) * np.exp(-(x/tau)**beta) + f_infty)
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def pulse_attn(freq: ArrayLike, t_pulse: float) -> ArrayLike:
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# cf. Schmitt-Rohr/Spieß eq. 2.126; omega_1 * t_p = pi/2
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pi_half_squared = np.pi**2 / 4
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omega = 2 * np.pi * freq
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numerator = np.sin(np.sqrt(pi_half_squared + omega**2 * t_pulse**2 / 2))
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denominator = np.sqrt(pi_half_squared + omega**2 * t_pulse**2 / 4)
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return np.pi * numerator/denominator / 2
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