L1 ⚛ L1-139 ⊙ Testnet

SRS — Stimulated Raman Scattering microscopy

Spectroscopy · Background-free coherent vibrational microscopy

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⬇ principle.md ⬇ principle.json

Fork L1-139

⬇ L1-139.md ⬇ L1-139.json

Prompt — copy into your LLM

You are helping me submit a MODIFICATION of L1-139 (SRS — Stimulated Raman Scattering microscopy) to the PWM Protocol — a Principle (L1) artifact.

I will paste a Markdown template (or the current L1-139.md).
1. Rewrite the Markdown so the science is correct and clearly explained for my change.
2. Regenerate the sibling L1-139.json so EVERY field matches the Markdown.
3. Keep the schema in the "File Mapping" footer at the bottom of the MD.
4. Keep the parent reference unchanged unless I ask otherwise.
Rules: the Markdown is the source of truth; use SI units; do NOT invent benchmark scores.
Output each file in its own fenced code block tagged with the filename.

Here is my template:
[PASTE THE .md HERE]

⚙ Forward Model

y = ∫_t dt `L.modulate.highfreq` `S.nonlinear.chi3` `L.beat.twocolor` x,    measurements ~ Poisson(αy)

world state x (concentration map)

→

L · beat · twocolor `L.beat.twocolor`

→

S · nonlinear · chi3 `S.nonlinear.chi3`

→

L · modulate · highfreq `L.modulate.highfreq`

→

Temporal integration ∫_t dt

→

observation y (photon detector)

Noise: Poisson shot noise from quantum-limited detection

Markdown — human-readable source of truth

⚙ auto-generated

⬇ L1-139.md

# ⚛ L1 Principle — SRS — Stimulated Raman Scattering microscopy **ID:** `L1-139` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Spectroscopy — *Background-free coherent vibrational microscopy* > **🎯 Problem class:** linear inverse coherent · **🧮 Solution space:** concentration map > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 3 · **⛓ Block:** 41554227 --- ## 🧠 1. Introduction **SRS — Stimulated Raman Scattering microscopy** is a **linear inverse coherent** whose unknown lives in **concentration map** space, within the **Background-free coherent vibrational microscopy** sub-domain of **Spectroscopy**. Measurements consist of photons collected by an optical detector via a **stimulated raman** sensing mechanism. The forward operator applies, in order: L · beat · twocolor operator; S · nonlinear · chi3 operator; L · modulate · highfreq operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. 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). ## ⚙ 2. Forward Model Physical chain: **x** → L · beat · twocolor → S · nonlinear · chi3 → L · modulate · highfreq → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.modulate.highfreq` `S.nonlinear.chi3` `L.beat.twocolor` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.beat.twocolor` | L · beat · twocolor operator | | `S.nonlinear.chi3` | S · nonlinear · chi3 operator | | `L.modulate.highfreq` | L · modulate · highfreq operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Spectroscopy | | Sub domain | Background-free coherent vibrational microscopy | | Carrier | photon | | Problem class | linear_inverse_coherent | | Solution space | concentration_map | | Noise model | shot_poisson | | Integration axis | spectral_and_temporal | | Difficulty delta | 3 | | L dag | 3 | ## 📡 4. Measurement Model 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). | Metric | Value | |---|---| | Metric | concentration_NMSE | | Secondary | SNR_dB | ## 📏 5. Operating Range (Ω) **Center problem class:** `hyperspectral_srs` · **Forward operator:** `srs_linear_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 256 | | K | — | 4 | | W | px | 256 | | Tau us | µs | 10 | | N omega | — | 200 | | Lambda p nm | nm | 800 | | Lambda s nm | nm | 1040 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 64 – 2048 | | K | — | 1 – 10 | | W | px | 64 – 2048 | | Tau us | µs | 1 – 1000 | | N omega | — | 1 – 500 | | Xpm artifact | — | 0.0 – 0.2 | | Rin laser noise | — | 1e-08 – 1e-05 | | Thermal lensing | — | 0.0 – 0.2 | | Focal volume error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** NMSE 1e-3 | Metric | Range | |---|---| | Nmse | 1e-05 – 0.1 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **concentration_NMSE**, with κ = `50` and δ = `3`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x8a781ba7311546a2d58078908ac53338a67e43e82e87615c5171d48a9824ae66` - **Chain tx hash:** `0x660149f63170f620ed6260984ef3616e28e26f17a22c7c0d255d841d558295fd` - **Chain block:** `41554227` --- ## File Mapping This bundle consists of: `L1-139.md`, `L1-139.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-139.md` | Source of truth — edit this | Human or LLM | | `L1-139.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-139`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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⌥ Hierarchy

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L2-139-001 SRS Hyperspectral Unmixing Spec

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📋 JSON metadata

{
  "artifact_id": "L1-139",
  "chain_block": 41554227,
  "chain_hash": "0x8a781ba7311546a2d58078908ac53338a67e43e82e87615c5171d48a9824ae66",
  "chain_tx_hash": "0x660149f63170f620ed6260984ef3616e28e26f17a22c7c0d255d841d558295fd",
  "domain": "Spectroscopy",
  "hardness_fn": {
    "delta": 3,
    "kappa": 50,
    "metric": "concentration_NMSE",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "concentration_NMSE",
    "regime": "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).",
    "secondary": "SNR_dB"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "photon",
    "difficulty_delta": 3,
    "domain": "Spectroscopy",
    "integration_axis": "spectral_and_temporal",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.beat.twocolor",
      "S.nonlinear.chi3",
      "L.modulate.highfreq",
      "int.temporal"
    ],
    "problem_class": "linear_inverse_coherent",
    "sensing_mechanism": "stimulated_raman",
    "solution_space": "concentration_map",
    "sub_domain": "Background-free coherent vibrational microscopy",
    "title": "SRS \u2014 Stimulated Raman Scattering microscopy"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "srs_linear_forward",
      "spectral_focusing_srs",
      "multiplex_srs"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_omega",
      "lambda_p_nm",
      "lambda_s_nm",
      "tau_us",
      "K",
      "thermal_lensing",
      "xpm_artifact",
      "rin_laser_noise"
    ],
    "allowed_problem_classes": [
      "hyperspectral_srs",
      "single_frequency_srs",
      "blind_srs_unmixing"
    ],
    "center_spec": {
      "epsilon_fn_center": "NMSE 1e-3",
      "forward_operator": "srs_linear_forward",
      "input_format": "srs_cube_plus_library",
      "omega": {
        "H": 256,
        "K": 4,
        "N_omega": 200,
        "W": 256,
        "lambda_p_nm": 800,
        "lambda_s_nm": 1040,
        "tau_us": 10
      },
      "problem_class": "hyperspectral_srs"
    },
    "epsilon_bounds": {
      "nmse": [
        1e-05,
        0.1
      ]
    },
    "omega_bounds": {
      "H": [
        64,
        2048
      ],
      "K": [
        1,
        10
      ],
      "N_omega": [
        1,
        500
      ],
      "W": [
        64,
        2048
      ],
      "focal_volume_error": [
        0.0,
        0.2
      ],
      "rin_laser_noise": [
        1e-08,
        1e-05
      ],
      "tau_us": [
        1,
        1000
      ],
      "thermal_lensing": [
        0.0,
        0.2
      ],
      "xpm_artifact": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Background-free coherent vibrational microscopy",
  "title": "SRS \u2014 Stimulated Raman Scattering microscopy"
}

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