S U M M A R Y The problem of decomposing irregular data on the sphere into a set of spherical harmonics is common in many fields of geosciences where it is necessary to build a quantitative understanding of a globally varying field. For example, in global seismology, a compressional or shear wave speed that emerges from tomographic images is used to interpret current state and composition of th...

Experimental evidence of scattering of second-harmonic light from the surface of spherical particles of optical dimensions is presented. This mechanism for second-harmonic generation is observed in a suspension of monodisperse spherical colloidal particles, ordered in a centrosymmetric crystalline lattice. In this periodic structure the mechanism of phase matching is provided by the bending of ...

In order to obtain sufficiently accurate spherical harmonic model of asteroid’s gravity field during the design stage of asteroid exploration mission which we can benefit from to design the orbit trajectory or the landing trajectory, the author of this paper proposed a method to determine the spherical harmonic model of asteroid’s gravity field based on polyhedron model. Firstly, this method re...

The reference systems defined by the SAO and Hipparcos catalogues are compared using vector spherical harmonic analysis. The differences between astrometric data in both catalogues have been grouped into different data sets and separate harmonic analysis performed on them. The Fourier coefficients yield estimates of systematic errors in SAO catalogue.

the daily record of geomagnetic variations at any world location typically shows a multitude of irregular changes in the field that represent the superposition of many spectral components whose amplitudes generally increase with increasing period. it has been a long established fact that variations in ground magnetic records are caused by the dynamo action in the upper atmosphere. these daily v...

Spherical microphone arrays provide a new and promising tool for the spatial analysis of complex sound fields. Most current frameworks, including HOA (Higher Order Ambisonics), rely on the spherical harmonic expansion of the sound field to form directional beams. Working in the spherical harmonic domain presents a number of advantages that include scalability (keeping the low-order components l...