Sathyanarayan Rao, PhD

Computational Physics

Maxwell-Bloch Equations for Exciton-Polariton Propagation

FORTRAN solver for exciton-polariton propagation in semiconductors using coupled Maxwell-Bloch equations, with 4th-order Runge-Kutta temporal integration.

Period
2015–2016
Where
Earlier Research
Role
Research Assistant · University of Paderborn
Methods
FORTRAN/Numerical PDE, Quantum Optics, Runge-Kutta/Finite-Diff
Maxwell-Bloch equations for a two-level excitonic system
Maxwell-Bloch equations for a two-level excitonic system

Research Project: Numerical modeling of light propagation in semiconductor optical systems using coupled Maxwell-Bloch equations.

Physical System: Exciton-polaritons in semiconductors — quasi-particles from strong coupling between photons and excitonic resonances, crucial for optical switches and quantum information devices.

Numerical Implementation:

  • FORTRAN code development for Maxwell-Bloch solver
  • 4th-order Runge-Kutta method for temporal integration
  • Finite-difference methods for spatial derivatives
  • Adaptive time-stepping for numerical stability

Supervision: Prof. Torsten Meier (Theoretical Physics) Funding: DFG optical signal processing project