4 papers
The time dimensional reduction method to determine the initial conditions without the knowledge of damping coefficients
Thuy T. Le, Linh V. Nguyen, Loc H. Nguyen +1
This paper aims to reconstruct the initial condition of a hyperbolic equation with an unknown damping coefficient. Our approach involves approximating the hyperbolic equation's sol…
Mitigating stimulated Brillouin scattering in multimode fibers with focused output via wavefront shaping
Chun-Wei Chen, Linh V. Nguyen, Kabish Wisal +9
The key challenge for high-power delivery through optical fibers is overcoming nonlinear optical effects. To keep a smooth output beam, most techniques for mitigating optical nonli…
Analysis for Full Field Photoacoustic Tomography with Variable Sound Speed
Linh V. Nguyen, Markus Haltmeier, Richard Kowar +1
Photoacoustic tomography (PAT) is a non-invasive imaging modality that requires recovering the initial data of the wave equation from certain measurements of the solution outside t…
Generalized Impedance Boundary Conditions for Strongly Absorbing Obstacles: the full Wave Equations
Hoai-Minh Nguyen, Linh V. Nguyen
This paper is devoted to the study of the generalized impedance boundary conditions (GIBCs) for a strongly absorbing obstacle in the {\bf time} regime in two and three dimensions.…