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Mohd. Meraj Khan

Publications and source records attributed to Mohd. Meraj Khan.

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Radiation Forces and Torques on Janus Cylinders

We investigate radiation-induced drag, lift, and torque on circular Janus cylinders under transverse-magnetic plane-wave illumination, considering metallo-dielectric and purely dielectric configurations. The lattice Boltzmann method (LBM) is employed with absorption neglected, isolating scattering as the sole momentum-transfer mechanism. For metallo-dielectric Janus cylinders, analytical expressions for radiation force and torque are derived and used to validate the LBM, showing excellent agreement across a wide range of dielectric constants and interface orientations. For dielectric Janus cylinders, material inhomogeneity induces asymmetric scattering giving rise to nonzero lift and torque under plane-wave illumination, with non-monotonic dependence on interface orientation and dielectric contrast. Two mechanisms govern the observed variations: resonance-driven energy amplification and scattered field redistribution. The computed force and torque maps serve as design diagrams for predicting the optomechanical response. Coupling these with viscous dynamics at low Reynolds number reveals diverse particle trajectories, including curved paths during reorientation and nearly straight motion once torque-free equilibria are reached. The system is externally actuated and results represent scattering-dominated dynamics under idealized conditions, providing physical insight into optomechanical responses of Janus particles with implications for trajectory shaping in optofluidic systems.

cond-mat.soft

Lattice Boltzmann Method for Electromagnetic Wave Scattering

In this work, the lattice Boltzmann method (LBM) is assessed as a time-domain numerical approach for electromagnetic wave scattering. Owing to its explicit formulation and suitability for parallel computation on structured grids, LBM provides an alternative framework for solving Maxwell's equations. The formulation is first validated using canonical benchmarks, including reflection and refraction at a planar dielectric interface and two-dimensional scattering from infinitely long circular cylinders, where the computed angular scattering intensities are compared with analytical Lorenz-Mie solutions. Additional comparisons are performed for circular cylinders with varying dielectric constants to examine performance across different material contrasts. The framework is then extended to three-dimensional scattering from dielectric spheres, representing the most computationally demanding case considered in this work, and the resulting angular scattering intensities are compared with exact Lorenz-Mie solutions. To further examine performance for non-circular geometries, scattering from an infinitely long hexagonal dielectric cylinder is investigated and benchmarked against results obtained using the Discretized-Mie Formalism. Across all cases, the LBM predictions show close agreement with analytical and semi-analytical reference solutions over a range of size-to-wavelength ratios.

physics.optics