# 📐 L2 Spec — Geometric Optics — ray tracing / eikonal Mismatch-Only Spec
**ID:** `L2-242-001` · **Status:** ⊙ Testnet (genesis catalog)
**Parents:** ⬆ Principle [`L1-242`](/artifact/l1/L1-242)
> **🎯 Tolerance (ε):** expression
> **⚖ Difficulty score:** 0.48 · **Delta tier:** 5
> **⛓ On-chain block:** 41553992
---
## 1. Domain Ω
**Type:** `range`
| Parameter | Unit | Range |
|---|---|---|
| N rays | — | 100 – 10000000 |
| Snr db | dB | 0 – 40 |
| N fields | — | 1 – 50 |
| N wavelengths | — | 1 – 50 |
| Alignment error | — | 0.0 – 0.05 |
| Wavelength error | — | 0.0 – 0.02 |
| Lens prescription error | — | 0.0 – 0.01 |
## 2. Tolerance (ε)
**Type:** `fn`
```
20.0 + 1.0*log10(N_rays/100) - 100.0*lens_prescription_error - 20.0*alignment_error
```
## 3. Difficulty
| Property | Value |
|---|---|
| Difficulty score | 0.48 |
| Delta tier | 5 |
## 4. Fingerprint
`5c1918214d56c2bafa882c0d09ff3535e3f04f46406dc0bd7fd34525f2687ebd`
## 5. On-chain Registration
- **Chain hash:** `0x9ecea2cce9231856552099c5b785caa48d40eef1dbfb07b115472c76c5ba72e1`
- **Chain tx hash:** `0xa19a2a7cf3292b27213f806bafb300ba31414105db51c9350f1bad12bcdc0777`
- **Chain block:** `41553992`
---
## File Mapping
This bundle consists of: `L2-242-001.md`, `L2-242-001.json`.
| File | Role | How to regenerate |
|------|------|-------------------|
| `L2-242-001.md` | Source of truth — edit this | Human or LLM |
| `L2-242-001.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 `L2-242-001`._
_Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._