Exact partial wave expansion of one-dimensional frozen wave-type beams for acoustic scattering
Abstract
In this work, we propose an exact analytical description of acoustic frozen waves (AFWs) within the framework of partial wave expansion. An AFW is mathematically constructed from a discrete or continuous one-dimensional superposition of colinear Bessel beams, therefore, constituting an important type of longitudinally structured acoustic threads. The exact determination of the expansion coefficients-known as the beam shape coefficients-offers a fundamental tool for applications such as acoustic radiation force and scattering calculations for structured beams. We provide examples of reconstructions that might be useful in several applications, ranging from acoustic tweezers, volumetric displays, acoustic holography, medical imaging, biomedical ultrasonics, and cell treatment, among others.
Fields of Study & Subjects
Microfluidic and Bio-sensing Technologies
Ultrasound Imaging and Elastography
Photoacoustic and Ultrasonic Imaging
Publication details
- Journal / source
- The Journal of the Acoustical Society of America
- Publisher
- Acoustical Society of America (ASA)
- Volume
- 159
- Issue
- 1
- Pages
- 1–10
- Publication date
- 1 January 2026
- Language
- EN