Ionosphere geodesic FDTD

ionosphere-fdtd is a NumPy and PyTorch implementation of a three-dimensional geodesic finite-difference time-domain model for the Earth–ionosphere waveguide. It combines an icosahedral primal/dual surface mesh with staggered radial Yee planes, conductive materials, localized current sources, receiver sampling, and two- and three-dimensional visualization.

FDTD pulse propagation from Gwangju on the geodesic Earth-ionosphere grid

Highlights

  • NumPy CPU and PyTorch CPU, CUDA, and Apple Metal/MPS backends
  • Full-spherical radial curls and conservative CFL selection
  • Exponential conductive integration with a legacy trapezoidal option
  • Configurable geodesic and radial grids, materials, sources, and anomalies
  • Surface maps, radial sections, receiver traces, interactive 3-D views, and animations
  • Analytic Maxwell verification and Simpson–Taflove reproduction workflows

Quick start

Python 3.11 or newer is required.

uv sync --extra test --extra visualization --extra pytorch
uv run ionosphere --steps 200

Minimal Python usage:

from ionosphere_fdtd import GeodesicFDTD, GaussianCurrent, SimulationConfig

simulation = GeodesicFDTD(
    SimulationConfig(subdivision=2, radial_cells=24),
    source=GaussianCurrent(carrier_frequency_hz=20.0),
)
simulation.step(1000)
print(simulation.diagnostics())

Documentation

Development

uv run --extra test --extra visualization --extra pytorch pytest -q

Verification workflows are kept outside the distributed runtime package and run from a source checkout. The linked verification reports contain their commands, acceptance criteria, and current results.

References

  1. D. A. Randall et al., “Climate Modeling with Spherical Geodesic Grids,” Computing in Science & Engineering, 4(5), 32–41, 2002.
  2. J. J. Simpson and A. Taflove, “Three-dimensional FDTD modeling of impulsive ELF propagation about the entire Earth-sphere,” IEEE TAP, 52(2), 443–451, 2004.
  3. J. J. Simpson, R. P. Heikes, and A. Taflove, “FDTD modeling of a novel ELF radar for major oil deposits using a three-dimensional geodesic grid of the Earth-ionosphere waveguide,” IEEE TAP, 54(6), 1734–1741, 2006.
  4. A. Taflove and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed., Chapter 3, 2005.

License

Copyright 2026 Kyungwon Chun.

Licensed under the Apache License 2.0. See NOTICE for the project copyright notice.

Project links

Data verified by PyPI on Aug 14, 2026
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  • Released:
Newer release available (0.2.0)

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Credits

Author: Kyungwon Chun

GitHub Statistics

Data verified by PyPI on Aug 14, 2026
The GitHub source repository was provided by the project maintainers and verified by PyPI at the time of upload. Stars, forks, and open issues/PRs are derived from that repository and have not been independently verified.

License expression

Apache-2.0
View SPDX License List

Requires

Python >=3.11

Provides Extra

test pytorch tensorboard visualization verification

Tags

electromagnetics fdtd geodesic-grid ionosphere maxwell-equations

Classifiers

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