3-layer stack T vs transfer-matrix theory

3-layer stack T vs transfer-matrix theory#

validated · 2026-08-28

analyticalresolution 1analyticalp0multilayertmmhigh_yield

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

Technical schematic associated with 3-layer stack T vs transfer-matrix theory

Representative field across a layered material geometry.#

What is exercised#

CW Poynting T vs Abeles TMM at 0.85/1.0/1.15 µm (same stack as parity_multilayer_T).

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

Recorded result#

Metric

Observed / error

Reference / limit

Error

Effective budget

Result

T_max_abs

0.0163328

0.03

0.0163328

0.03

PASS

T_rel_l2

0.0140387

0.05

0.0140387

0.05

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_multilayer_tmm

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

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