L1 ⚛ L1-149 ⊙ Testnet

Streak Camera — picosecond 1D time-resolved imaging

Ultrafast Imaging · 1D time-resolved photoelectron streaking

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⬇ L1-149.md

# ⚛ L1 Principle — Streak Camera — picosecond 1D time-resolved imaging **ID:** `L1-149` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Ultrafast Imaging — *1D time-resolved photoelectron streaking* > **🎯 Problem class:** linear inverse · **🧮 Solution space:** 1D time trace > **📡 Carrier:** photon · **🌫 Noise:** shot poisson > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554229 --- ## 🧠 1. Introduction **Streak Camera — picosecond 1D time-resolved imaging** is a **linear inverse problem** whose unknown lives in **1D time trace** space, within the **1D time-resolved photoelectron streaking** sub-domain of **Ultrafast Imaging**. Measurements consist of photons collected by an optical detector via a **streak tube time resolved** sensing mechanism. The forward operator applies, in order: L · photocathode operator; L · sweep voltage operator; D · streaked phosphor operator; detector accumulates flux over the exposure window. Observations are corrupted by Poisson shot noise from quantum-limited detection. Existence of the recovered 1D time trace 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 ~= 12); sweep_nonlinearity dominates the stability cliff; photocathode_jitter 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 · photocathode → L · sweep voltage → D · streaked phosphor → Temporal integration → **y** (detector). ``` y = ∫_t dt `D.streaked_phosphor` `L.sweep_voltage` `L.photocathode` x, measurements ~ Poisson(αy) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.photocathode` | L · photocathode operator | | `L.sweep_voltage` | L · sweep voltage operator | | `D.streaked_phosphor` | D · streaked phosphor operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Ultrafast Imaging | | Sub domain | 1D time-resolved photoelectron streaking | | Carrier | photon | | Problem class | linear_inverse | | Solution space | 1D_time_trace | | Noise model | shot_poisson | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.3 | ## 📡 4. Measurement Model Existence of the recovered 1D time trace 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 ~= 12); sweep_nonlinearity dominates the stability cliff; photocathode_jitter 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:** `streak_camera` · **Forward operator:** `streak_camera_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | N t | — | 1024 | | N x | — | 1024 | | Sweep ps | — | 100 | | Afterglow | — | 0 | | Photon count | — | 500 | | Space charge | — | 0 | | Sweep nonlinearity | — | 0 | | Photocathode jitter | — | 0.5 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | N t | — | 128 – 4096 | | N x | — | 128 – 4096 | | Sweep ps | — | 1 – 1000 | | Afterglow | — | 0.0 – 0.3 | | Photon count | — | 10 – 10000 | | Space charge | — | 0.0 – 0.3 | | Sweep nonlinearity | — | 0.0 – 0.3 | | Photocathode jitter | — | 0.0 – 5.0 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 26.0 | Metric | Range | |---|---| | Psnr db | 5.0 – 40.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `240` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0xabe8402be261e624237347f71c511f7b48021b9c295bb2b2becf6765775d6ce9` - **Chain tx hash:** `0xe170b82b27c15c7df9bf0e446671249f2f9bef84cf7eec561bb358281f568022` - **Chain block:** `41554229` --- ## File Mapping This bundle consists of: `L1-149.md`, `L1-149.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-149.md` | Source of truth — edit this | Human or LLM | | `L1-149.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 `L1-149`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-149-001 Streak Camera — picosecond 1D time-resolved imaging Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-149",
  "chain_block": 41554229,
  "chain_hash": "0xabe8402be261e624237347f71c511f7b48021b9c295bb2b2becf6765775d6ce9",
  "chain_tx_hash": "0xe170b82b27c15c7df9bf0e446671249f2f9bef84cf7eec561bb358281f568022",
  "domain": "Ultrafast Imaging",
  "hardness_fn": {
    "delta": 5,
    "kappa": 240,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Existence of the recovered 1D time trace 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 ~= 12); sweep_nonlinearity dominates the stability cliff; photocathode_jitter 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"
  },
  "physics_fingerprint": {
    "L_DAG": 3.3,
    "carrier": "photon",
    "difficulty_delta": 5,
    "domain": "Ultrafast Imaging",
    "integration_axis": "temporal",
    "noise_model": "shot_poisson",
    "primitives": [
      "L.photocathode",
      "L.sweep_voltage",
      "D.streaked_phosphor",
      "int.temporal"
    ],
    "problem_class": "linear_inverse",
    "sensing_mechanism": "streak_tube_time_resolved",
    "solution_space": "1D_time_trace",
    "sub_domain": "1D time-resolved photoelectron streaking",
    "title": "Streak Camera \u2014 picosecond 1D time-resolved imaging"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "streak_camera_forward"
    ],
    "allowed_omega_dimensions": [
      "N_x",
      "N_t",
      "sweep_ps",
      "photon_count",
      "sweep_nonlinearity",
      "photocathode_jitter",
      "space_charge",
      "afterglow",
      "sweep_nonlinearity",
      "photocathode_jitter",
      "space_charge",
      "afterglow"
    ],
    "allowed_problem_classes": [
      "streak_camera"
    ],
    "center_spec": {
      "epsilon_fn_center": "26.0",
      "forward_operator": "streak_camera_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_t": 1024,
        "N_x": 1024,
        "afterglow": 0.0,
        "photocathode_jitter": 0.5,
        "photon_count": 500,
        "space_charge": 0.0,
        "sweep_nonlinearity": 0.0,
        "sweep_ps": 100
      },
      "problem_class": "streak_camera"
    },
    "epsilon_bounds": {
      "psnr_db": [
        5.0,
        40.0
      ]
    },
    "omega_bounds": {
      "N_t": [
        128,
        4096
      ],
      "N_x": [
        128,
        4096
      ],
      "afterglow": [
        0.0,
        0.3
      ],
      "photocathode_jitter": [
        0.0,
        5.0
      ],
      "photon_count": [
        10,
        10000
      ],
      "space_charge": [
        0.0,
        0.3
      ],
      "sweep_nonlinearity": [
        0.0,
        0.3
      ],
      "sweep_ps": [
        1,
        1000
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "1D time-resolved photoelectron streaking",
  "title": "Streak Camera \u2014 picosecond 1D time-resolved imaging"
}

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