PROFILE SUMMARY

Dr. Muhammad Afzal is an applied mathematician with a strong interest in wave mechanics, specifically in modelling, analyzing, and applying wave phenomena in various scientific and engineering fields. Since obtaining his PhD in Mathematics from Quaid-i-Azam University in 2015, he has dedicated his research efforts to the broad area of applied mathematics, focusing particularly on the theoretical understanding of wave processes. Dr. Afzal research activities primarily revolve around the scattering of acoustic or electromagnetic waves from geometric or material discontinuities, which have wide-ranging applications in acoustics, elasticity, water wave theory, and electromagnetic wave propagation problems. He has extensively worked on the application and development of mode-matching methods and Non-Sturm-Liouville systems. Further, he has extended the mode-matching approach by incorporating Galerkin procedures, low-frequency approximations, and multimodal formulations. Dr. Afzal has published over 25 articles in high-impact journals and contributed a book chapter in a publication by the American Mathematical Society, USA. He is recognized as an approved supervisor by the Higher Education Commission of Pakistan (HEC) and has successfully supervised 4 PhD and 13 MPhil students.

TEACHING EXPERIENCE
Associate Professor	Capital University of Science and Technology (CUST), Islamabad	Since – 2022
Assistant Professor	Capital University of Science and Technology (CUST), Islamabad	2015 – 2022

RESEARCH SUPERVISION
1.	PhD	Scattering Analysis of the Wave-bearing Cavity Bridged by Vertical Elastic Boundaries
2.	PhD	Scattering Analysis in Bifurcated and Trifurcated Waveguides Involving Structural Discontinuities
3.	PhD	Scattering analysis of acoustic waves in waveguides containing partitioned wave-bearing cavities
4.	PhD	Analysis of acoustic problems with different boundary conditions and step discontinuities
5.	M.Phil	Impact of acoustic liners on scattering
6.	M.Phil	Scattering from elastic membranes placed at the mouth of cylindrical chamber
7.	M.Phil	Wave propagation through expansion chamber having arbitrary configuration
8.	M.Phil	Sound attenuation through expansion chamber having porous medium
9.	M.Phil	Acoustic propagation and scattering through lined cavities
10.	M.Phil	Acoustic propagation and scattering through the lined cavities
11.	M.Phil	Attenuation performance with lined expansion chambers
12.	M.Phil	Scattering through cylindrical waveguide involving lined chamber
13.	M.Phil	Acoustic Scattering in flexible bifurcated cylindrical waveguide
14.	M.Phil	Reflection and transmission through expansion chamber enclosed by vertical membranes
15.	MPhil	Acoustic Scattering and Absorption in Discontinuous Waveguide Involving Porosity
16.	MPhil	Acoustic Scattering in Bifurcated Waveguide Containing Porous Material
17.	PhD	Scattering Analysis of Discontinuous flexible panels with different edge conditions(In progress)
18.	PhD	Acoustics Wave Scattering in Trifurcated Waveguide Containing Structural Discontinuities and Change of Material Properties (In progress)
19.	PhD	Analysis of Transmission Loss in Active and Passive Devices using Mode-Matching Technique (In progress)
20.	PhD	Effect of Vertical Flexible Walls of Expansion Chamber in Reactive Silencer: A Tailored Galerkin Approach (In progress)
21.	MPhil	Analysis of Vertical Membrane Bounded Cavity: A Modal Approach (In progress)
22.	MPhil	Scattering analysis in discontinuous Cylindrical Waveguide by using Mode-Matching Approach (In progress)
23.	MPhil	Multimodal analysis of Cavity backed channel (In progress)