# ⚛  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._