Related Experiment Video
Updated: Mar 31, 2026

Cortical Bone Assessment Using Ultrasonic Guided Waves: A Reproducibility Study in a Healthy Population
Published on: January 31, 2025
Semi-analytical modeling of acoustic beam divergence in homogeneous anisotropic half-spaces
Naoyuki Kono1, Sohichi Hirose2
1Center for Technology Innovation - Energy, Research & Development Group, Hitachi, Ltd., 7-2-1 Omika-cho, Hitachi-shi, Ibaraki 319-1221, Japan.
Abstract:
Beam divergences of acoustical fields in semi-infinite homogeneous anisotropic media are calculated based on a semi-analytical model. The model for a plane source in a semi-infinite homogeneous anisotropic medium is proposed as an extended model for a point source in an infinite medium. Beam divergences propagating along crystallographic axes 〈100〉, 〈110〉, and 〈111〉 in a cubic crystal, a single crystalline Ni-based alloy, are measured and compared to calculation results for verifying the model. The contribution of beam divergence attenuation to the total attenuation for propagating in anisotropic polycrystalline materials is quantitatively evaluated in isolation from scattering attenuation effects.
Related Concept Videos
Deflection of a Beam
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
Beams with Unsymmetric Loadings
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...
Singularity Functions for Bending Moment
Beams with Symmetric Loadings
The M/EI...
Bending of Curved Members - Neutral Surface
Consider the curved member described in the previous lesson. According to Hooke's law, which relates stress to strain within the...
Divergence and Stokes' Theorems

