diff options
Diffstat (limited to 'fg21sim/extragalactic')
| -rw-r--r-- | fg21sim/extragalactic/clusters/emission.py | 44 |
1 files changed, 27 insertions, 17 deletions
diff --git a/fg21sim/extragalactic/clusters/emission.py b/fg21sim/extragalactic/clusters/emission.py index bca0ecf..38ad919 100644 --- a/fg21sim/extragalactic/clusters/emission.py +++ b/fg21sim/extragalactic/clusters/emission.py @@ -153,7 +153,7 @@ class SynchrotronEmission: y = self._F_interp(x) return y - def emissivity(self, nu): + def emissivity(self, frequencies): """ Calculate the synchrotron emissivity (power emitted per volume and per frequency) at the requested frequency. @@ -167,32 +167,42 @@ class SynchrotronEmission: Parameters ---------- - nu : float - Frequency where to calculate the emissivity. + frequencies : float, or 1D `~numpy.ndarray` + The frequencies where to calculate the synchrotron emissivity. Unit: [MHz] Returns ------- - j_nu : float - Synchrotron emissivity at frequency ``nu``. + syncem : float, or 1D `~numpy.ndarray` + The calculated synchrotron emissivity at each specified + frequency. Unit: [erg/s/cm^3/Hz] """ + j_coef = np.sqrt(3) * AC.e**3 * self.B_gauss / AU.mec2 # Ignore the zero angle theta = np.linspace(0, np.pi/2, num=len(self.gamma))[1:] theta_grid, gamma_grid = np.meshgrid(theta, self.gamma) nu_c = self.frequency_crit(gamma_grid, theta_grid) - kernel = self.F(nu / nu_c) - - # 2D samples over width to do the integration - s2d = kernel * np.outer(self.n_e, np.sin(theta)**2) - # Integrate over ``theta`` (the last axis) - s1d = integrate.simps(s2d, x=theta) - # Integrate over energy ``gamma`` in logarithmic grid - j_nu = integrate.simps(s1d*self.gamma, np.log(self.gamma)) - - coef = np.sqrt(3) * AC.e**3 * self.B_gauss / AU.mec2 - j_nu *= coef - return j_nu + # 2D grid of ``n_e(gamma) * sin^2(theta)`` + nsin2 = np.outer(self.n_e, np.sin(theta)**2) + + frequencies = np.array(frequencies, ndmin=1) + syncem = np.zeros(shape=frequencies.shape) + for i, freq in zip(range(len(frequencies)), frequencies): + logger.debug("Calc synchrotron emissivity at %.2f [MHz]" % freq) + kernel = self.F(freq / nu_c) + # 2D samples over width to do the integration + s2d = kernel * nsin2 + # Integrate over ``theta`` (the last axis) + s1d = integrate.simps(s2d, x=theta) + # Integrate over energy ``gamma`` in logarithmic grid + syncem[i] = j_coef * integrate.simps(s1d*self.gamma, + np.log(self.gamma)) + + if len(syncem) == 1: + return syncem[0] + else: + return syncem def power(self, nu): """ |