SRS — Stimulated Raman Scattering microscopy L1-139
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
Delta_I_p / I_p = -\sigma_SRS(Omega) \cdot N(r) \cdot I_s \cdot L_zStimulated Raman scattering uses two synchronized pulses (pump at omega_p, Stokes at omega_s) with Omega = omega_p - omega_s matching a vibrational mode; the pump experiences stimulated loss (SRL) while Stokes gains (SRG), both proportional to Im[chi^(3)]. Detection via high-frequency lock-in amplification (>1 MHz) of modulated Stokes/pump gives SNR bounded by laser shot noise only (no non-resonant background).
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- linear in N(r) — direct unmixing
- Stability:
- stable
- κ:
- 50
SRS is linear in concentration, unlike CARS (|chi|^2). No non-resonant background. Signal is shot-noise limited; SNR scales as sqrt(I_p * I_s * tau).
Solvability C
- Solver class:
- Linear regression (CLS), hyperspectral deconvolution, spectral-focusing chirp decoding, learned denoisers
- Convergence rate q:
- 2
- Complexity:
- CLS O(H*W*K*N_omega); spectral-focusing deconvolution O(H*W*N_omega*log)