L1 ⚛ L1-141 ⊙ Testnet

LIBS — Laser-Induced Breakdown Spectroscopy imaging

Spectroscopy · Atomic emission elemental imaging

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⬇ L1-141.md

# ⚛ L1 Principle — LIBS — Laser-Induced Breakdown Spectroscopy imaging **ID:** `L1-141` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Spectroscopy — *Atomic emission elemental imaging* > **🎯 Problem class:** nonlinear inverse emission · **🧮 Solution space:** elemental concentration map > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554227 --- ## 🧠 1. Introduction **LIBS — Laser-Induced Breakdown Spectroscopy imaging** is a **nonlinear inverse emission** whose unknown lives in **elemental concentration map** space, within the **Atomic emission elemental imaging** sub-domain of **Spectroscopy**. Measurements consist of photons collected by an optical detector via a **plasma emission** sensing mechanism. The forward operator applies, in order: L · ablate · plasma operator; S · emit · atomic operator; L · disperse · spectral operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. Plasma physics non-linear but under LTE the Saha-Boltzmann equation yields explicit calibration; self-absorption violates linearity; matrix-effect mismatch dominant uncertainty. ## ⚙ 2. Forward Model Physical chain: **x** → L · ablate · plasma → S · emit · atomic → L · disperse · spectral → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.disperse.spectral` `S.emit.atomic` `L.ablate.plasma` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.ablate.plasma` | L · ablate · plasma operator | | `S.emit.atomic` | S · emit · atomic operator | | `L.disperse.spectral` | L · disperse · spectral operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Spectroscopy | | Sub domain | Atomic emission elemental imaging | | Carrier | photon | | Problem class | nonlinear_inverse_emission | | Solution space | elemental_concentration_map | | Noise model | shot_poisson | | Integration axis | spectral_and_temporal | | Difficulty delta | 5 | | L dag | 3 | ## 📡 4. Measurement Model Plasma physics non-linear but under LTE the Saha-Boltzmann equation yields explicit calibration; self-absorption violates linearity; matrix-effect mismatch dominant uncertainty. | Metric | Value | |---|---| | Metric | concentration_NMSE | | Secondary | LOD_ppm | ## 📏 5. Operating Range (Ω) **Center problem class:** `libs_elemental_mapping` · **Forward operator:** `libs_plasma_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 256 | | K | — | 5 | | W | px | 256 | | E p mj | — | 50 | | Gate us | µs | 10 | | N lambda | — | 2048 | | Delay us | µs | 1 | | Self absorption | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 32 – 2048 | | K | — | 1 – 30 | | W | px | 32 – 2048 | | E p mj | — | 5 – 500 | | Gate us | µs | 0.1 – 100 | | N lambda | — | 512 – 16384 | | Delay us | µs | 0.1 – 100 | | Matrix effects | — | 0.0 – 0.3 | | Self absorption | — | 0.0 – 0.5 | | Plasma temp drift | — | 0.0 – 0.3 | | Shot to shot variability | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** NMSE 0.05 | Metric | Range | |---|---| | Nmse | 0.001 – 0.5 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **concentration_NMSE**, with κ = `500` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x18c79b747a6b87c142442621a12d8d71cffe88d33773615addd7d67f1d589354` - **Chain tx hash:** `0xb4d33703da75b45bd14e81910462186fab474928d8ebb866b81ccea850497537` - **Chain block:** `41554227` --- ## File Mapping This bundle consists of: `L1-141.md`, `L1-141.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-141.md` | Source of truth — edit this | Human or LLM | | `L1-141.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 `L1-141`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-141.md).
Regenerate L1-141.json so every field matches the Markdown.
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Output each file in its own fenced code block tagged with the filename.

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L2-141-001 LIBS Elemental-Mapping Spec (matrix-effect mismatch family)

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📋 JSON metadata

{
  "artifact_id": "L1-141",
  "chain_block": 41554227,
  "chain_hash": "0x18c79b747a6b87c142442621a12d8d71cffe88d33773615addd7d67f1d589354",
  "chain_tx_hash": "0xb4d33703da75b45bd14e81910462186fab474928d8ebb866b81ccea850497537",
  "domain": "Spectroscopy",
  "hardness_fn": {
    "delta": 5,
    "kappa": 500,
    "metric": "concentration_NMSE",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "concentration_NMSE",
    "regime": "Plasma physics non-linear but under LTE the Saha-Boltzmann equation yields explicit calibration; self-absorption violates linearity; matrix-effect mismatch dominant uncertainty.",
    "secondary": "LOD_ppm"
  },
  "physics_fingerprint": {
    "L_DAG": 3.0,
    "carrier": "photon",
    "difficulty_delta": 5,
    "domain": "Spectroscopy",
    "integration_axis": "spectral_and_temporal",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.ablate.plasma",
      "S.emit.atomic",
      "L.disperse.spectral",
      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse_emission",
    "sensing_mechanism": "plasma_emission",
    "solution_space": "elemental_concentration_map",
    "sub_domain": "Atomic emission elemental imaging",
    "title": "LIBS \u2014 Laser-Induced Breakdown Spectroscopy imaging"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "libs_plasma_forward",
      "cf_libs_saha_boltzmann"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "N_lambda",
      "E_p_mJ",
      "delay_us",
      "gate_us",
      "K",
      "self_absorption",
      "matrix_effects",
      "plasma_temp_drift",
      "shot_to_shot_variability"
    ],
    "allowed_problem_classes": [
      "libs_elemental_mapping",
      "cf_libs_quantitative",
      "libs_classification"
    ],
    "center_spec": {
      "epsilon_fn_center": "NMSE 0.05",
      "forward_operator": "libs_plasma_forward",
      "input_format": "spectral_cube",
      "omega": {
        "E_p_mJ": 50,
        "H": 256,
        "K": 5,
        "N_lambda": 2048,
        "W": 256,
        "delay_us": 1,
        "gate_us": 10,
        "self_absorption": 0.0
      },
      "problem_class": "libs_elemental_mapping"
    },
    "epsilon_bounds": {
      "nmse": [
        0.001,
        0.5
      ]
    },
    "omega_bounds": {
      "E_p_mJ": [
        5,
        500
      ],
      "H": [
        32,
        2048
      ],
      "K": [
        1,
        30
      ],
      "N_lambda": [
        512,
        16384
      ],
      "W": [
        32,
        2048
      ],
      "delay_us": [
        0.1,
        100
      ],
      "gate_us": [
        0.1,
        100
      ],
      "matrix_effects": [
        0.0,
        0.3
      ],
      "plasma_temp_drift": [
        0.0,
        0.3
      ],
      "self_absorption": [
        0.0,
        0.5
      ],
      "shot_to_shot_variability": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Atomic emission elemental imaging",
  "title": "LIBS \u2014 Laser-Induced Breakdown Spectroscopy imaging"
}

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