Vacuum dipole — finite energy + PML decay

Vacuum dipole — finite energy + PML decay#

validated · 2026-08-28

analyticalresolution 1smokeanalyticalp0energypml

This case checks the implementation against an analytical identity, convergence property, or independent physics invariant.

Technical schematic associated with Vacuum dipole — finite energy + PML decay

Representative radiating-field structure.#

What is exercised#

Point dipole in vacuum with PML. Peak energy must be > 0 and finite; late-time mean energy / peak must be << 1 (absorbed, not exploding).

This case runs at its declared full benchmark resolution (resolution factor 1.0).

Recorded result#

Metric

Observed / error

Reference / limit

Error

Effective budget

Result

fields_finite

1

1

0

0

PASS

energy_peak_positive

1

1

0

0

PASS

energy_tail_ratio

4.543e-05

0

4.543e-05

0.2

PASS

The table is rendered from progress.json; it is not a hand-written success claim. For metrics that report an error directly, the “observed” column repeats that error and the reference column is the acceptance threshold.

Reproduce#

uv run fdtdx-bench run --case analytical_vacuum_energy

Implementation and provenance: benchmarks/cases/analytical_vacuum_energy/case.yaml, benchmarks/cases/analytical_vacuum_energy/run.py.

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