Levi Kaganowich presents at BAMC 2025

Between 23-26 June 2025, Levi presented at the British Applied Mathematics Colloquium (BAMC) in Exeter. 

The joint British Mathematical Colloquium & British Applied Mathematical Colloquium is the largest mathematics research conference in the UK. This joint meeting occurs once every five years. It aims to bring together a large cross-section of the UK mathematical community to discuss recent advances in a wide range of mathematical and related fields.

With a packed four-day schedule and hundreds of people watching on, Levi presented his work on acoustic invisibility cloaking as part of a mini symposium on waves and metamaterials. He said, "It was great to be around so many people who are enthusiastic about maths! It was a good way to progress my research and I’m grateful for the opportunity to take part which was made possible through the SEE school."

Levi's work was titled: Rotating cylindrical acoustic invisibility cloak: solution using perturbation method

Read his abstract here:

Transformation Acoustics initiated a new paradigm of metamaterial designs in the mid-2000s. Using this approach, an invisibility cloak can be created, and this holds promise for stealth and noise reduction applications in aviation. However, adapting this design to meet the demands of realistic conditions has proven challenging. The work below focusses on the design of a stationary 2D cylindrical cloak and its performance whilst rotating, a result not yet reported in the literature. The study utilises linearised equations of motion with convective terms. A differential equation for acoustic pressure in an anisotropic rotating fluid is formulated assuming radial dependence of its effective density components and bulk modulus. For a slowly rotating cloak the corresponding solution and scattering coefficients for the acoustic incident plane wave are derived using a perturbation method and compared with a numerical solution. These scattering coefficients are used to evaluate the performance of the rotating cloak. Results show that rotation causes a reduction in cloaking performance with greater scattering observed for increasing rotational speeds, with a reasonable agreement (within 1.7%) between the methods within the range of applicability. The perturbation method used in this study provides a fast and computationally inexpensive approach to evaluating wave scattering from a rotating, radially graded anisotropic fluid region. The methodology and results presented lay a foundation for designing rotating acoustic cloaks, with potential applications in stealth technology and noise reduction in aviation.