# 📐  L2 Spec — Synthetic Aperture Radar (SAR) — range-Doppler coherent imaging Mismatch-Only Spec

**ID:** `L2-100-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-100`](/artifact/l1/L1-100)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.5 · **Delta tier:** 5
> **⛓ On-chain block:** 41554188

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 1024 – 32768 |
| W | px | 1024 – 32768 |
| Snr db | dB | 0.0 – 30.0 |
| Pixel m | m | 0.3 – 30 |
| N pulses | — | 256 – 16384 |
| Lambda cm | — | 0.5 – 30 |
| Layover shadow | — | 0.0 – 0.3 |
| Ionospheric phase | — | 0.0 – 2.0 |
| Platform motion error | — | 0.0 – 1.0 |
| Speckle coherence loss | — | 0.0 – 0.5 |

## 2. Tolerance (ε)

**Type:** `fn`

```
12.0 + 0.3 * SNR_dB - 5.0 * platform_motion_error - 3.0 * ionospheric_phase
```

## 3. Difficulty

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

## 4. Fingerprint

`5a26d44d9a159562b36c670472d37189e768d01a04489c4d061f1cb2dddf2807`

## 5. On-chain Registration

- **Chain hash:** `0x90189e59b7c7911bb7998247c5dd30f56696d83025f4d6e58ff8f9c4d8b505a7`
- **Chain tx hash:** `0xa4bfda21a5c87c8c990af1f87cde8ec3bde450c2798c3dbf6d0e793283cbca01`
- **Chain block:** `41554188`

---

## File Mapping

This bundle consists of: `L2-100-001.md`, `L2-100-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-100-001.md` | Source of truth — edit this | Human or LLM |
| `L2-100-001.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 `L2-100-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._