L1 ⚛ L1-205 ⊙ Testnet

Laser Heating — short-pulse temperature rise inversion

Heat Transfer · Ultrafast laser-induced thermal transient

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⬇ L1-205.md

# ⚛ L1 Principle — Laser Heating — short-pulse temperature rise inversion **ID:** `L1-205` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Heat Transfer — *Ultrafast laser-induced thermal transient* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 3D temperature transient > **📡 Carrier:** thermal · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554035 --- ## 🧠 1. Introduction **Laser Heating — short-pulse temperature rise inversion** is a **linear inverse problem** whose unknown lives in **3D temperature transient** space, within the **Ultrafast laser-induced thermal transient** sub-domain of **Heat Transfer**. Measurements consist of thermal radiation / temperature measurements via a **pyrometer ir reflectance** sensing mechanism. The forward operator applies, in order: L · laser absorb operator; L · hyperbolic heat operator; L · nonfourier operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · laser absorb → L · hyperbolic heat → L · nonfourier → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.nonfourier` `L.hyperbolic_heat` `L.laser_absorb` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.laser_absorb` | L · laser absorb operator | | `L.hyperbolic_heat` | L · hyperbolic heat operator | | `L.nonfourier` | L · nonfourier operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Heat Transfer | | Sub domain | Ultrafast laser-induced thermal transient | | Carrier | thermal | | Problem class | linear_inverse | | Solution space | 3D_temperature_transient | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.3 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `laser_heating` · **Forward operator:** `laser_heating_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 128 | | W | px | 128 | | Z | — | 32 | | Snr db | dB | 30 | | Fs ghz | GHz | 1 | | K error | — | 0 | | Cv error | — | 0 | | N samples | — | 200 | | Pulse width error | — | 0 | | Absorption coeff error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 32 – 1024 | | W | px | 32 – 1024 | | Z | — | 8 – 256 | | Snr db | dB | 0 – 40 | | Fs ghz | GHz | 0.001 – 1000 | | K error | — | 0.0 – 0.1 | | Cv error | — | 0.0 – 0.1 | | N samples | — | 20 – 10000 | | Pulse width error | — | 0.0 – 0.3 | | Absorption coeff error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `440` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x9a1d1db81a7eb632422dc7fbc81ab2a4b8b6c25c038239aebd5c9e0f93015265` - **Chain tx hash:** `0xe889dae0b672e1cedf630e626559328ff90f8493ca381178aa504b833551e0ed` - **Chain block:** `41554035` --- ## File Mapping This bundle consists of: `L1-205.md`, `L1-205.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-205.md` | Source of truth — edit this | Human or LLM | | `L1-205.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 `L1-205`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-205.md).
Regenerate L1-205.json so every field matches the Markdown.
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L2-205-001 Laser Heating — short-pulse temperature rise inversion Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-205",
  "chain_block": 41554035,
  "chain_hash": "0x9a1d1db81a7eb632422dc7fbc81ab2a4b8b6c25c038239aebd5c9e0f93015265",
  "chain_tx_hash": "0xe889dae0b672e1cedf630e626559328ff90f8493ca381178aa504b833551e0ed",
  "domain": "Heat Transfer",
  "hardness_fn": {
    "delta": 5,
    "kappa": 440,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
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      "license_hash": null,
      "name": "primary",
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    }
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  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.3,
    "carrier": "thermal",
    "difficulty_delta": 5,
    "domain": "Heat Transfer",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.laser_absorb",
      "L.hyperbolic_heat",
      "L.nonfourier",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "pyrometer_ir_reflectance",
    "solution_space": "3D_temperature_transient",
    "sub_domain": "Ultrafast laser-induced thermal transient",
    "title": "Laser Heating \u2014 short-pulse temperature rise inversion"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "laser_heating_forward"
    ],
    "allowed_omega_dimensions": [
      "H",
      "W",
      "Z",
      "N_samples",
      "fs_GHz",
      "SNR_dB",
      "absorption_coeff_error",
      "pulse_width_error",
      "k_error",
      "cv_error",
      "absorption_coeff_error",
      "pulse_width_error",
      "k_error",
      "cv_error"
    ],
    "allowed_problem_classes": [
      "laser_heating"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "laser_heating_forward",
      "input_format": "measurement_only",
      "omega": {
        "H": 128,
        "N_samples": 200,
        "SNR_dB": 30,
        "W": 128,
        "Z": 32,
        "absorption_coeff_error": 0.0,
        "cv_error": 0.0,
        "fs_GHz": 1.0,
        "k_error": 0.0,
        "pulse_width_error": 0.0
      },
      "problem_class": "laser_heating"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "H": [
        32,
        1024
      ],
      "N_samples": [
        20,
        10000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "W": [
        32,
        1024
      ],
      "Z": [
        8,
        256
      ],
      "absorption_coeff_error": [
        0.0,
        0.2
      ],
      "cv_error": [
        0.0,
        0.1
      ],
      "fs_GHz": [
        0.001,
        1000
      ],
      "k_error": [
        0.0,
        0.1
      ],
      "pulse_width_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Ultrafast laser-induced thermal transient",
  "title": "Laser Heating \u2014 short-pulse temperature rise inversion"
}

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