Brillouin Microscopy (acousto-optic inelastic scattering) L1-142
Unclaimed Principle — open for contribution
This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.
To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.
Forward model E
Thermally-populated acoustic phonons at frequency f_B = 2*n*V*sin(theta/2)/lambda scatter incident photons inelastically via Bragg condition. Brillouin shift f_B (GHz) encodes elastic modulus M = rho*V^2. A narrow-linewidth laser (~1 MHz) + high-resolution spectrometer (VIPA/FPA/triple Tandem Fabry-Perot) resolves the Brillouin peak.
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- peak-fitting unique for single-component voxel; multi-component voxels are mixtures
- Stability:
- conditional
- κ:
- 100
Lorentzian peak fitting well-posed at SNR > 10 dB; multi-component mixing requires broader-peak modeling. Mismatch: elastic anisotropy, thermal drift, refractive-index uncertainty.
Solvability C
- Solver class:
- Lorentzian nonlinear LS fit, Voigt fit, Bayesian peak fit, max-likelihood, learned (BrillouinNet CNN)
- Convergence rate q:
- 2
- Complexity:
- Fit O(H*W*Z*iter); learned O(H*W*Z*N_f*F) single forward