Nottingham Trent University2025-08-052025-08-05https://dspace.academy.edu.ly/handle/123456789/1701Inspired by advances in the solution of ill-posed problems in imaging science using the so-called compressed sensing, we seek to develop new compressed or sparse reconstruction methods for the NAH problem. A sparse superposition method will be developed and implemented based on the inverse method of superposition (MoS), or equivalent source method as it is often known.Near- eld acoustic holography (NAH) has proved to be an enormously successful sound source identi cation technique, which is widely used in eld of acoustics and noise con- trol. The work presented in this thesis aims at developing a novel method for modelling near- eld acoustic holography, where the particle velocity on the surface of a vibrating structure is recovered from measurements taken in the exterior eld. The model devel- oped will form a powerful predictive tool for identifying sources of acoustic radiation for applications in mechanical and audio engineering.NUMERICAL TECHNIQUES FOR NEAR