Polarization maps and Stokes parameters

Computational Astrophysics Research

Developing novel diagnostic techniques for magnetohydrodynamic turbulence and advancing galaxy evolution modeling through large-scale cosmological simulations.

Research focus:

MHD Turbulence & Galaxy Evolution

Collaboration:

UW-Madison & MIT Kavli

Publication:

ApJ Letters 2025 (In Review)

Active Research Projects

5/3 power law validation

Faraday-Screen Turbulence Diagnostics

Angular correlation functions for LOFAR rotation measures reveal Kolmogorov-type cascades.

📄 Lead Author  5/3 Power Law
512³ turbulence spectrum

High-Resolution Turbulence Simulations

Advanced 512³ spectrum generation implementing Kolmogorov theory with time-invariant design and random FFT phases. This sophisticated approach ensures statistical isotropy while maintaining proper energy cascade characteristics.

🔬 Ongoing  512³ Resolution

Mathematical Framework

Spherical coordinate system

Spherical Coordinate Transformation

Velocity increment decomposition in spherical coordinates with azimuthal averaging for isotropic turbulence analysis.

Probability density functions

Angular Statistics Analysis

Single and two-point PDFs for polar angles, vector azimuth, and Stokes azimuth showing theoretical validation.

Structure Function Analysis

3D polar structure function

3D Polar Angle

R^(2/3) scaling

Vector azimuth structure function

Vector Azimuth

R^(2/3) scaling

Stokes azimuth structure function

Stokes Azimuth

R^(5/3) scaling

2D Simulation Validation

2D Stokes structure function

Stokes Parameter Analysis

512² 2D simulation showing excellent correlation with R^(5/3) dependence.

Velocity component distributions

Velocity Field Validation

Distribution analysis confirming homogeneity with no directional preference in the turbulent velocity field.

Research Visualization

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Research Impact

1
First-author publication
1.2 TB
Simulation data is processing
Open
Source & reproducible

Research Tools & Code

Analysis Code Repository

All research code available on GitHub with detailed documentation and reproducible notebooks. Features custom FFT implementations and structure function analysis tools.

View Repository

Interactive Notebooks

Explore research data and reproduce analysis results with interactive Jupyter notebooks. Includes visualization tools for structure functions and spectral analysis.

Launch Notebook

Key Collaborations

Prof. Alex Lazarian

University of Wisconsin-Madison

h-index: 98 • MHD Turbulence Expert

Prof. Mark Vogelsberger

MIT Kavli Institute

h-index: 107 • Galaxy Evolution Simulations

Download Full CV