CARS — Coherent Anti-Stokes Raman Scattering L1-138
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
Two synchronized picosecond pulses (pump omega_p, Stokes omega_s) beat at the vibrational frequency Omega = omega_p - omega_s, driving coherent molecular vibrations; a third photon (often same as pump) probes the coherence, yielding an anti-Stokes signal at omega_AS = 2*omega_p - omega_s. Signal is chi^(3)-driven, scales as I_p^2 * I_s.
L-DAG
Well-posedness W
- Existence:
- true
- Uniqueness:
- for known chi_NR; blind case ill-posed due to |.|^2 phase ambiguity
- Stability:
- conditional
- κ:
- 300
Well-posed for multiplex CARS with full spectrum + max-entropy phase retrieval; ill-posed for narrowband CARS contaminated by chi_NR (distortive interference with Lorentzian chi_R).
Solvability C
- Solver class:
- CLS (single-frequency), KK (Kramers-Kronig) phase retrieval, max-entropy (Vartiainen 1992), learned CARS-Net, MCR-ALS
- Convergence rate q:
- 2
- Complexity:
- KK O(H*W*N_omega * log(N_omega)); max-entropy O(H*W*iter*N_omega); learned single forward