L1 ⚛ L1-351 ⊙ Testnet

RF Heating — ICRF / LH / ECH wave absorption

Plasma Physics · Full-wave RF heating of magnetized plasmas

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⬇ L1-351.md

# ⚛ L1 Principle — RF Heating — ICRF / LH / ECH wave absorption **ID:** `L1-351` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Plasma Physics — *Full-wave RF heating of magnetized plasmas* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** rf power deposition profile > **📡 Carrier:** plasma · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554096 --- ## 🧠 1. Introduction **RF Heating — ICRF / LH / ECH wave absorption** is a **linear inverse problem** whose unknown lives in **rf power deposition profile** space, within the **Full-wave RF heating of magnetized plasmas** sub-domain of **Plasma Physics**. Measurements consist of plasma particle and field diagnostics via a **rf power diagnostics** sensing mechanism. The forward operator applies, in order: L · dielectric tensor operator; L · wave propagate operator; L · resonant absorb operator; integration over a band of frequencies. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · dielectric tensor → L · wave propagate → L · resonant absorb → Frequency integration → **y** (detector). ``` y = ∫dω `L.resonant_absorb` `L.wave_propagate` `L.dielectric_tensor` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.dielectric_tensor` | L · dielectric tensor operator | | `L.wave_propagate` | L · wave propagate operator | | `L.resonant_absorb` | L · resonant absorb operator | | `int.frequency` | Integration over a band of frequencies | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Plasma Physics | | Sub domain | Full-wave RF heating of magnetized plasmas | | Carrier | plasma | | Problem class | linear_inverse | | Solution space | rf_power_deposition_profile | | Noise model | gaussian | | Integration axis | frequency | | Difficulty delta | 5 | | L dag | 3.5 | ## 📡 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:** `rf_heating` · **Forward operator:** `rf_heating_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N r | — | 128 | | N z | — | 128 | | Snr db | dB | 25 | | N freqs | — | 1 | | Dielectric error | — | 0 | | Mode conversion error | — | 0 | | Antenna coupling error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N r | — | 32 – 1024 | | N z | — | 32 – 1024 | | Snr db | dB | 0 – 40 | | N freqs | — | 1 – 50 | | Dielectric error | — | 0.0 – 0.2 | | Mode conversion error | — | 0.0 – 0.3 | | Antenna coupling error | — | 0.0 – 0.3 | ## 🎯 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 = `500` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xdee741b0bb268f44f5684e88f88fc8f636e63525d83e3e2b996b8ebfb1291727` - **Chain tx hash:** `0xe736e902835c65e16a448208e3c5bcf4d0667d1bedeb6b3af0e36b4fe612ee33` - **Chain block:** `41554096` --- ## File Mapping This bundle consists of: `L1-351.md`, `L1-351.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-351.md` | Source of truth — edit this | Human or LLM | | `L1-351.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 `L1-351`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-351.md).
Regenerate L1-351.json so every field matches the Markdown.
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L2-351-001 RF Heating — ICRF / LH / ECH wave absorption Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-351",
  "chain_block": 41554096,
  "chain_hash": "0xdee741b0bb268f44f5684e88f88fc8f636e63525d83e3e2b996b8ebfb1291727",
  "chain_tx_hash": "0xe736e902835c65e16a448208e3c5bcf4d0667d1bedeb6b3af0e36b4fe612ee33",
  "domain": "Plasma Physics",
  "hardness_fn": {
    "delta": 5,
    "kappa": 500,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.5,
    "carrier": "plasma",
    "difficulty_delta": 5,
    "domain": "Plasma Physics",
    "integration_axis": "frequency",
    "noise_model": "gaussian",
    "primitives": [
      "L.dielectric_tensor",
      "L.wave_propagate",
      "L.resonant_absorb",
      "int.frequency"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "rf_power_diagnostics",
    "solution_space": "rf_power_deposition_profile",
    "sub_domain": "Full-wave RF heating of magnetized plasmas",
    "title": "RF Heating \u2014 ICRF / LH / ECH wave absorption"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "rf_heating_forward"
    ],
    "allowed_omega_dimensions": [
      "N_R",
      "N_Z",
      "N_freqs",
      "SNR_dB",
      "antenna_coupling_error",
      "dielectric_error",
      "mode_conversion_error",
      "antenna_coupling_error",
      "dielectric_error",
      "mode_conversion_error"
    ],
    "allowed_problem_classes": [
      "rf_heating"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "rf_heating_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_R": 128,
        "N_Z": 128,
        "N_freqs": 1,
        "SNR_dB": 25,
        "antenna_coupling_error": 0.0,
        "dielectric_error": 0.0,
        "mode_conversion_error": 0.0
      },
      "problem_class": "rf_heating"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_R": [
        32,
        1024
      ],
      "N_Z": [
        32,
        1024
      ],
      "N_freqs": [
        1,
        50
      ],
      "SNR_dB": [
        0,
        40
      ],
      "antenna_coupling_error": [
        0.0,
        0.3
      ],
      "dielectric_error": [
        0.0,
        0.2
      ],
      "mode_conversion_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Full-wave RF heating of magnetized plasmas",
  "title": "RF Heating \u2014 ICRF / LH / ECH wave absorption"
}

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