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@@ 56-97 (lines=42) @@
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] |
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def rr1987(energy, flux, scale_height, rho): |
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"""Atmospheric electron energy dissipation Roble and Ridley, 1987 [#]_ |
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Equations (typo corrected) taken from Fang et al., 2008. |
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Parameters |
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---------- |
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energy: array_like (M,...) |
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Characteristic energy E_0 [keV] of the Maxwellian distribution. |
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flux: array_like (M,...) |
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Integrated energy flux Q_0 [keV / cm² / s¹] |
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scale_height: array_like (N,...) |
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The atmospheric scale heights [cm]. |
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rho: array_like (N,...) |
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The atmospheric mass density [g / cm³] |
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Returns |
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------- |
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en_diss: array_like (M,N) |
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The dissipated energy profiles [keV]. |
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References |
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---------- |
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.. [#] Roble and Ridley, Ann. Geophys., 5A(6), 369--382, 1987 |
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""" |
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_c1 = 2.11685 |
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_c2 = 2.97035 |
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_c3 = 2.09710 |
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_c4 = 0.74054 |
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_c5 = 0.58795 |
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_c6 = 1.72746 |
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_c7 = 1.37459 |
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_c8 = 0.93296 |
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beta = (rho * scale_height / (4 * 1e-6))**(1 / 1.65) # RR 1987, p. 371 |
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y = beta / energy # Corrected in Fang et al. 2008 (4) |
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f_y = (_c1 * (y**_c2) * np.exp(-_c3 * (y**_c4)) + |
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_c5 * (y**_c6) * np.exp(-_c7 * (y**_c8))) |
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# Corrected in Fang et al. 2008 (2) |
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en_diss = 0.5 * flux / scale_height * f_y |
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return en_diss |
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def rr1987_mod(energy, flux, scale_height, rho): |
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"""Atmospheric electron energy dissipation Roble and Ridley, 1987 [#]_ |
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return en_diss |
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def rr1987_mod(energy, flux, scale_height, rho): |
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"""Atmospheric electron energy dissipation Roble and Ridley, 1987 [#]_ |
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Equations (typo corrected) taken from Fang et al., 2008. |
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Modified polynomial values to get closer to Fang et al., 2008, |
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origin unknown. |
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Parameters |
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---------- |
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energy: array_like (M,...) |
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Characteristic energy E_0 [keV] of the Maxwellian distribution. |
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flux: array_like (M,...) |
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Integrated energy flux Q_0 [keV / cm² / s¹] |
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scale_height: array_like (N,...) |
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The atmospheric scale heights [cm]. |
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rho: array_like (N,...) |
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The atmospheric mass density [g / cm³] |
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Returns |
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------- |
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en_diss: array_like (M,N) |
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The dissipated energy profiles [keV]. |
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References |
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---------- |
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.. [#] Roble and Ridley, Ann. Geophys., 5A(6), 369--382, 1987 |
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""" |
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# Modified polynomial, origin unknown |
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_c1 = 3.233 |
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_c2 = 2.56588 |
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_c3 = 2.2541 |
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_c4 = 0.7297198 |
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_c5 = 1.106907 |
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_c6 = 1.71349 |
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_c7 = 1.8835444 |
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_c8 = 0.86472135 |
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# Fang et al., 2008, Eq. (4) |
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y = (rho * scale_height / (4.6 * 1e-6))**(1 / 1.65) / energy |
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f_y = (_c1 * (y**_c2) * np.exp(-_c3 * (y**_c4)) + |
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_c5 * (y**_c6) * np.exp(-_c7 * (y**_c8))) |
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# energy dissipated [keV] |
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en_diss = 0.5 * flux / scale_height * f_y |
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return en_diss |
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def _fang_f_y(_c, _y): |
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"""Polynomial evaluation helper |
st-bender /
pyeppaurora
