# 📐  L2 Spec — Polarimetric SAR (PolSAR) — full-polarimetric decomposition Mismatch-Only Spec

**ID:** `L2-109-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-109`](/artifact/l1/L1-109)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41554202

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 1024 – 16384 |
| W | px | 1024 – 16384 |
| Snr db | dB | 0.0 – 30.0 |
| Pixel m | m | 0.5 – 30 |
| Lambda cm | — | 0.5 – 30 |
| Faraday rotation | — | 0.0 – 30.0 |
| Calibration drift | — | 0.0 – 2.0 |
| Polarization crosstalk | — | -40 – -15 |
| Speckle coherence loss | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
14.0 + 0.3 * SNR_dB - 0.4 * (polarization_crosstalk + 40) - 0.5 * calibration_drift - 0.3 * faraday_rotation
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.5 |
| Delta tier | 5 |

## 4. Fingerprint

`b63bb64cb8d1fad4fb9fac374d1478136e4a41066b106c1e94fb0229c01505fb`

## 5. On-chain Registration

- **Chain hash:** `0x4dbc500c91dcf6cedd13f2b7b151073e4870734848741a2ad489b6b2bd4f1eb9`
- **Chain tx hash:** `0x5ffdd19455f389a55e82c51c58fba58b6a238fc0320f6b1068d28a6989dd6308`
- **Chain block:** `41554202`

---

## File Mapping

This bundle consists of: `L2-109-001.md`, `L2-109-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-109-001.md` | Source of truth — edit this | Human or LLM |
| `L2-109-001.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 `L2-109-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._