L1 ⚛ L1-240 ⊙ Testnet

Fiber Optic — nonlinear Schrodinger pulse propagation

Electromagnetics · NLSE / GNLSE optical-fiber pulse dynamics

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⬇ L1-240.md

# ⚛ L1 Principle — Fiber Optic — nonlinear Schrodinger pulse propagation **ID:** `L1-240` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Electromagnetics — *NLSE / GNLSE optical-fiber pulse dynamics* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** complex optical pulse envelope > **📡 Carrier:** em · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41553988 --- ## 🧠 1. Introduction **Fiber Optic — nonlinear Schrodinger pulse propagation** is a **nonlinear inverse problem** whose unknown lives in **complex optical pulse envelope** space, within the **NLSE / GNLSE optical-fiber pulse dynamics** sub-domain of **Electromagnetics**. Measurements consist of electromagnetic field measurements via a **optical sampling** sensing mechanism. The forward operator applies, in order: L · dispersion operator; L · kerr nonlinear operator; L · raman 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 · dispersion → L · kerr nonlinear → L · raman → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.raman` `L.kerr_nonlinear` `L.dispersion` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.dispersion` | L · dispersion operator | | `L.kerr_nonlinear` | L · kerr nonlinear operator | | `L.raman` | L · raman operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Electromagnetics | | Sub domain | NLSE / GNLSE optical-fiber pulse dynamics | | Carrier | em | | Problem class | nonlinear_inverse | | Solution space | complex_optical_pulse_envelope | | Noise model | gaussian | | Integration axis | temporal | | 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:** `gnlse` · **Forward operator:** `gnlse_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 30 | | N samples | — | 4096 | | L fiber km | km | 10 | | Loss error | — | 0 | | Beta2 error | — | 0 | | Gamma error | — | 0 | | Raman frac error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | N samples | — | 256 – 1048576 | | L fiber km | km | 0.001 – 10000 | | Loss error | — | 0.0 – 0.1 | | Beta2 error | — | 0.0 – 0.1 | | Gamma error | — | 0.0 – 0.1 | | Raman frac error | — | 0.0 – 0.2 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 24.0 | 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:** `0x9c4bcd7ed127356124645b69f36d45c0d47b77209474a01d06f8eb97a3981114` - **Chain tx hash:** `0x344eecc0fb7c2001df13abdbf391d33f4417c1d32f38a5107aed03edc83e6b4e` - **Chain block:** `41553988` --- ## File Mapping This bundle consists of: `L1-240.md`, `L1-240.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-240.md` | Source of truth — edit this | Human or LLM | | `L1-240.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 `L1-240`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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Read the attached Markdown (L1-240.md).
Regenerate L1-240.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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L2-240-001 Fiber Optic — nonlinear Schrodinger pulse propagation Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-240",
  "chain_block": 41553988,
  "chain_hash": "0x9c4bcd7ed127356124645b69f36d45c0d47b77209474a01d06f8eb97a3981114",
  "chain_tx_hash": "0x344eecc0fb7c2001df13abdbf391d33f4417c1d32f38a5107aed03edc83e6b4e",
  "domain": "Electromagnetics",
  "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": "em",
    "difficulty_delta": 5,
    "domain": "Electromagnetics",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.dispersion",
      "L.kerr_nonlinear",
      "L.raman",
      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "optical_sampling",
    "solution_space": "complex_optical_pulse_envelope",
    "sub_domain": "NLSE / GNLSE optical-fiber pulse dynamics",
    "title": "Fiber Optic \u2014 nonlinear Schrodinger pulse propagation"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "gnlse_forward"
    ],
    "allowed_omega_dimensions": [
      "N_samples",
      "L_fiber_km",
      "SNR_dB",
      "beta2_error",
      "gamma_error",
      "loss_error",
      "raman_frac_error",
      "beta2_error",
      "gamma_error",
      "loss_error",
      "raman_frac_error"
    ],
    "allowed_problem_classes": [
      "gnlse"
    ],
    "center_spec": {
      "epsilon_fn_center": "24.0",
      "forward_operator": "gnlse_forward",
      "input_format": "measurement_only",
      "omega": {
        "L_fiber_km": 10,
        "N_samples": 4096,
        "SNR_dB": 30,
        "beta2_error": 0.0,
        "gamma_error": 0.0,
        "loss_error": 0.0,
        "raman_frac_error": 0.0
      },
      "problem_class": "gnlse"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "L_fiber_km": [
        0.001,
        10000
      ],
      "N_samples": [
        256,
        1048576
      ],
      "SNR_dB": [
        0,
        40
      ],
      "beta2_error": [
        0.0,
        0.1
      ],
      "gamma_error": [
        0.0,
        0.1
      ],
      "loss_error": [
        0.0,
        0.1
      ],
      "raman_frac_error": [
        0.0,
        0.2
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "NLSE / GNLSE optical-fiber pulse dynamics",
  "title": "Fiber Optic \u2014 nonlinear Schrodinger pulse propagation"
}

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