L1 ⚛ L1-093 ⊙ Testnet

Focused Ion Beam SEM (FIB-SEM) — serial sectioning 3D imaging

Electron Microscopy · Ion-mill serial sectioning + SEM

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⬇ L1-093.md

# ⚛ L1 Principle — Focused Ion Beam SEM (FIB-SEM) — serial sectioning 3D imaging **ID:** `L1-093` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Electron Microscopy — *Ion-mill serial sectioning + SEM* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 3D intensity > **📡 Carrier:** electron · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554185 --- ## 🧠 1. Introduction **Focused Ion Beam SEM (FIB-SEM) — serial sectioning 3D imaging** is a **linear inverse problem** whose unknown lives in **3D intensity** space, within the **Ion-mill serial sectioning + SEM** sub-domain of **Electron Microscopy**. Measurements consist of electrons collected by an electron detector via a **fib milling sem** sensing mechanism. The forward operator applies, in order: L · ion milling operator; L · excitation · electron beam operator; ordered pixel-by-pixel sampling; S · scan · axial operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 3D intensity is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is moderately conditioned (kappa_eff ~= 15); milling_step_variance dominates the stability cliff; curtain_artifact and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point. ## ⚙ 2. Forward Model Physical chain: **x** → L · ion milling → L · excitation · electron beam → Raster scan → S · scan · axial → Temporal integration → **y** (detector). ``` y = ∫_t dt `S.scan.axial` S_raster `L.excitation.electron_beam` `L.ion_milling` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.ion_milling` | L · ion milling operator | | `L.excitation.electron_beam` | L · excitation · electron beam operator | | `S.scan.raster` | Ordered pixel-by-pixel sampling | | `S.scan.axial` | S · scan · axial operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Electron Microscopy | | Sub domain | Ion-mill serial sectioning + SEM | | Carrier | electron | | Problem class | linear_inverse | | Solution space | 3D_intensity | | Noise model | shot_poisson | | Integration axis | axial | | Difficulty delta | 5 | | L dag | 4 | ## 📡 4. Measurement Model Existence of the recovered 3D intensity is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is moderately conditioned (kappa_eff ~= 15); milling_step_variance dominates the stability cliff; curtain_artifact and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `fibsem_serial_section` · **Forward operator:** `fibsem_serial_section_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | H | px | 2048 | | W | px | 2048 | | Z | — | 500 | | Kv | — | 2 | | Pixel nm | nm | 5 | | Z step nm | nm | 5 | | Peak electrons | — | 100 | | Curtain artifact | — | 0 | | Z alignment error | — | 0 | | Milling step variance | — | 0.1 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | H | px | 512 – 4096 | | W | px | 512 – 4096 | | Z | — | 50 – 2000 | | Kv | — | 1 – 5 | | Charging | — | 0.0 – 0.3 | | Pixel nm | nm | 1 – 50 | | Z step nm | nm | 1 – 50 | | Peak electrons | — | 10 – 2000 | | Curtain artifact | — | 0.0 – 0.3 | | Z alignment error | — | 0.0 – 2.0 | | Milling step variance | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 26.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `300` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x80f4a2109835df73732e37f92e02cf5cc46d78a0eb835ca70932f1577d37e1bf` - **Chain tx hash:** `0xda3d0c7f6cab8c00e7ebd91388ab6396c4bcce778344a6f150036d92c7cbaf13` - **Chain block:** `41554185` --- ## File Mapping This bundle consists of: `L1-093.md`, `L1-093.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-093.md` | Source of truth — edit this | Human or LLM | | `L1-093.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 `L1-093`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-093-001 Focused Ion Beam SEM (FIB-SEM) — serial sectioning 3D imaging Mismatch-Only Spec

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📋 JSON metadata

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  "chain_block": 41554185,
  "chain_hash": "0x80f4a2109835df73732e37f92e02cf5cc46d78a0eb835ca70932f1577d37e1bf",
  "chain_tx_hash": "0xda3d0c7f6cab8c00e7ebd91388ab6396c4bcce778344a6f150036d92c7cbaf13",
  "domain": "Electron Microscopy",
  "hardness_fn": {
    "delta": 5,
    "kappa": 300,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
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    "regime": "Existence of the recovered 3D intensity is guaranteed within the declared Omega bounds. Uniqueness holds on the measurement-supported subspace; out-of-support modes are controlled by the declared priors. Stability is moderately conditioned (kappa_eff ~= 15); milling_step_variance dominates the stability cliff; curtain_artifact and the remaining mismatch parameters contribute higher-order bias terms. Photon-shot-noise-limited (poisson counting) sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point.",
    "secondary": "SSIM"
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  "physics_fingerprint": {
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    "carrier": "electron",
    "difficulty_delta": 5,
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    "integration_axis": "axial",
    "noise_model": "shot_poisson",
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      "S.scan.raster",
      "S.scan.axial",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "fib_milling_sem",
    "solution_space": "3D_intensity",
    "sub_domain": "Ion-mill serial sectioning + SEM",
    "title": "Focused Ion Beam SEM (FIB-SEM) \u2014 serial sectioning 3D imaging"
  },
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      "input_format": "measurement_only",
      "omega": {
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        "kV": 2,
        "milling_step_variance": 0.1,
        "peak_electrons": 100,
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        "z_alignment_error": 0.0,
        "z_step_nm": 5
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    "epsilon_bounds": {
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      "W": [
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      "Z": [
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      "charging": [
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      "curtain_artifact": [
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      ],
      "kV": [
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      "milling_step_variance": [
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      ],
      "peak_electrons": [
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      ],
      "pixel_nm": [
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      ],
      "z_alignment_error": [
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        2.0
      ],
      "z_step_nm": [
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        50
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "Ion-mill serial sectioning + SEM",
  "title": "Focused Ion Beam SEM (FIB-SEM) \u2014 serial sectioning 3D imaging"
}

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