更多关于最后散射表面的褶皱
More on crinkles in the last scattering surface
摘要：
非均匀复合可以引起电子数密度的扰动，其可以是重子密度扰动的五倍。我们对电子数密度扰动在宇宙微波背景（CMB）中产生的二阶各向异性进行了深入的分析。我们证明了求解光子的二阶玻尔兹曼方程等价于求解一阶+二阶玻尔兹曼方程，然后取解的二阶部分。我们找到了近似解的光子玻尔兹曼层次的l模式，并表明，从非均匀复合的贡献，二阶的双极，偶极和四极数值上是小的。我们还指出，微扰一阶紧耦合解和阻尼解中的电子数密度并不等价于求解非均匀复合的二阶Boltzmann方程。最后，我们证实了我们在前一篇文章中的结果，即非均匀复合产生一个局部型非高斯参数f_{NL}-1。对于测量模式高达l_{max} =2500的理想全天空实验，用于检测由非均匀复合产生的温度双谱的信噪比为~ 1。
英文摘要：
Inhomogeneous recombination can give rise to perturbations in the electron number density which can be a factor of five larger than the perturbations in baryon density. We do a thorough analysis of the second order anisotropies generated in the cosmic microwave background (CMB) due to perturbations in the electron number density. We show that solving the second order Boltzmann equation for photons is equivalent to solving the first + second order Boltzmann equations and then taking the second order part of the solution. We find the approximate solution to the photon Boltzmann hierarchy in l modes and show that the contributions from inhomogeneous recombination to the second order monopole, dipole and quadrupole are numerically small. We also point out that perturbing the electron number density in the first order tight coupling and damping solutions for the monopole, dipole and quadrupole is not equivalent to solving the second order Boltzmann equations for inhomogeneous recombination. Finally we confirm our result in a previous paper that inhomogeneous recombination gives rise to a local type non-Gaussianity parameter f_{NL}~ -1. The signal to noise for the detection of the temperature bispectrum generated by inhomogeneous recombination is ~ 1 for an ideal full sky experiment measuring modes up to l_{max}=2500.
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