Webpackage is just one way of computing spin-weighted spheroidal harmonics using the BHPToolkit You can also compute them in:-Sage using kerrgeodesic_gw (see Eric Gourgoulhon’s talk next)-python using qnm (see Leo Stein's talk at 17:15 CET)-C++ using Gremlin (see Scott Hughes talk at 15:15 CET tomorrow) WebFeb 22, 2024 · Along the way we present a new class of spin-weighted harmonic functions dubbed “adjoint-spheroidal” harmonics. These new functions may be used for the general estimation of spheroidal multipole moments via complete biorthogonal decomposition (in the angular domain).
High-order asymptotics for the spin-weighted spheroidal equation …
WebJan 15, 2006 · Spin-weighted spheroidal harmonics are useful in a variety of physical situations, including light scattering, nuclear modeling, signal processing, electromagnetic wave propagation, black hole perturbation theory in four and higher dimensions, quantum field theory in curved space-time and studies of D-branes. We first review analytic and ... WebSpinweighted spheroidal harmonics form a complete and orthonormal set of functions on a prolate spheroid. They are, however, not the eigenfunctions of the natural Laplace … pinellas county non emergency 911
[2006.11449] Bi-orthogonal harmonics for the decomposition of ...
WebJun 20, 2024 · We show for the first time that spheroidal harmonics are not only capable of representing arbitrary gravitational wave signals, but that they also possess a kind of orthogonality not used before in general relativity theory. Along the way we present a new class of spin weighted harmonic functions dubbed ``adjoint-spheroidal" harmonics. WebNov 20, 2005 · Spin-weighted spheroidal harmonics are useful in a variety of physical situations, including light scattering, nuclear modeling, signal processing, … WebIntegral equations for the spin-weighted spheroidal wave functions is given . For the prolate spheroidal wave function with , there exists the integral equation whose kernel is , and the sinc function kernel is of gr… pinellas county non profit organizations