The Local Stellar Velocity Field via Vector Spherical Harmonics

Resonance energy transfer: The unified theory via vector spherical harmonics.

In this work, we derive the well-established expression for the quantum amplitude associated with the resonance energy transfer (RET) process between a pair of molecules that are beyond wavefunction overlap. The novelty of this work is that the field of the mediating photon is described in terms of a spherical wave rather than a plane wave. The angular components of the field are constructed in...

Active compensation of magnetic field distortions based on vector spherical harmonics field description

The Local Velocity Field

We only see a small fraction of the matter in the universe, but the rest gives itself away by the impact of its gravity. The distortions from pure Hubble flow (or peculiar velocities) that this matter creates have the potential to be a powerful cosmological tool, but are also a nuisance for extragalactic astronomers who wish to use redshifts to estimate distances to local galaxies. We provide a...

Spherical Harmonics

5 Spherical Harmonics 7 5.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 5.2 Properties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.1 Harmonic expansion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5.2.2 Convolution . . . . . . . . . . . . . . . . . . . . . . . . . . . ...

Sound Localization in a Sound Field Represented by Spherical Harmonics

Sound localization is an important aspect in human hearing, with interaural time difference (ITD) and interaural level difference (ILD) as two binaural cues that complement each other in this goal. Head related transfer functions (HRTFs) can be used to estimate and analyze these cues, where an HRTF representation in the spherical harmonics domain has recently been suggested for analysis. The ai...