Expansions in Series of Spherical Harmonics
نویسندگان
چکیده
منابع مشابه
Bipolar Spherical Harmonics Expansions of the Boltzmann Transport Equation
An extension of the spherical harmonics expansion method for the deterministic solution of the Boltzmann transport equation for the computation of both electron and hole distribution functions is presented. The generation and recombination of carriers via traps in the band gap is considered in a way that is consistent with the Shockley-Read-Hall model. Simulation results for a pn-diode and an n...
متن کاملEfficient and accurate rotation of finite spherical harmonics expansions
Spherical harmonics are employed in a wide range of applications in computational science and physics, and many of them require the rotation of functions. We present an efficient and accurate algorithm for the rotation of finite spherical harmonics expansions. Exploiting the pointwise action of the rotation group on functions on the sphere, we obtain the spherical harmonics expansion of a rotat...
متن کاملUsing Spherical-Harmonics Expansions for Optics Surface Reconstruction from Gradients
In this paper, we propose a new algorithm to reconstruct optics surfaces (aka wavefronts) from gradients, defined on a circular domain, by means of the Spherical Harmonics. The experimental results indicate that this algorithm renders the same accuracy, compared to the reconstruction based on classical Zernike polynomials, using a smaller number of polynomial terms, which potentially speeds up ...
متن کاملRobust and accurate filtered spherical harmonics expansions for radiative transfer
Cory D. Hauck Computational Mathematics Group Computer Science and Mathematics Division Oak Ridge National Laboratory Oak Ridge, TN 37831 USA ‡ We present a novel application of filters to the spherical harmonics (PN) expansion for radiative transfer problems in the high-energy-density regime. The filter we use is based on non-oscillatory spherical splines and a filter strength chosen to (i) pr...
متن کاملSpherical Harmonics
5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1923
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500036178