Raman Imaging (spontaneous inelastic photon scattering) L1-137
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
A narrowband laser at omega_L excites a sample; vibrational modes at frequencies omega_v cause inelastic scattering at omega_L +/- omega_v (Stokes/anti-Stokes). The cross-section is ~10^-30 cm^2/molecule/steradian (1e7 weaker than fluorescence). A spectrograph disperses scattered light onto a 2D detector, measured per spatial position via raster scan or line-focus.
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- identifiable under linear-mixing with known sigma_k
- Stability:
- conditional
- κ:
- 200
Linear inverse problem mapping concentration to spectral signal; conditioning governed by spectral overlap (correlation of pure-component spectra). Mismatch: fluorescence background, wavenumber drift, laser-power fluctuation.
Solvability C
- Solver class:
- Classical-least-squares (CLS), NNMF, MCR-ALS, VCA, SVM classification, U-Net / spectral-transformer learned unmixing
- Convergence rate q:
- 2
- Complexity:
- CLS: O(H*W*K*N_lambda); MCR-ALS: O(iter * H*W*K*N_lambda); learned single forward