# 📐  L2 Spec — Fresnel Diffraction — paraxial wave propagation Mismatch-Only Spec

**ID:** `L2-241-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-241`](/artifact/l1/L1-241)

> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553992

---

## 1. Domain Ω

**Type:** `range`

| Parameter | Unit | Range |
|---|---|---|
| H | px | 64 – 4096 |
| W | px | 64 – 4096 |
| Z m | m | 0.001 – 1000 |
| Snr db | dB | 0 – 40 |
| Lambda nm | nm | 1 – 10000 |
| Z dist error | — | 0.0 – 0.05 |
| Aperture error | — | 0.0 – 0.1 |
| Wavelength error | — | 0.0 – 0.02 |

## 2. Tolerance (ε)

**Type:** `fn`

```
19.0 + 0.3*SNR_dB - 20.0*z_dist_error - 15.0*aperture_error - 30.0*wavelength_error
```

## 3. Difficulty

| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |

## 4. Fingerprint

`e822ed33ec1463d3f8a92a3c1927ac85ac850723b1852ca1962998c46768a145`

## 5. On-chain Registration

- **Chain hash:** `0xf490e7ed2d7e779cf3b9483ff5fb760357bc66d5a128fa31a700edb27f734a5d`
- **Chain tx hash:** `0xa797987104121775015cd8c25fb956fcd57a8c0d16077aac0af87fa1cce8b327`
- **Chain block:** `41553992`

---

## File Mapping

This bundle consists of: `L2-241-001.md`, `L2-241-001.json`.

| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-241-001.md` | Source of truth — edit this | Human or LLM |
| `L2-241-001.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 `L2-241-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._