xray_tube_spectrum — TOMOGRAPHY `spectral_xray` op

• Data kinds: none → pairs (an op determined by its arguments alone — it takes no image or data input)

• Call: import fullseye as fs; fs.ledger.xray_tube_spectrum(kvp: 'float' = 80.0, anode: 'str' = 'W', takeoff_deg: 'float' = 12.0, filtration=(('AL', 2.5),), e_min_kev: 'float' = 5.0, de_kev: 'float' = 0.5, characteristic: 'bool' = True, self_absorption: 'bool' = True) -> 'np.ndarray' (to call the implementation directly, import dualxray; dualxray.xray_tube_spectrum(kvp: 'float' = 80.0, anode: 'str' = 'W', takeoff_deg: 'float' = 12.0, filtration=(('AL', 2.5),), e_min_kev: 'float' = 5.0, de_kev: 'float' = 0.5, characteristic: 'bool' = True, self_absorption: 'bool' = True) -> 'np.ndarray'; from the registry, opstomography.get("xray_tube_spectrum"))

Usage

Return the photon spectrum of an X-ray tube as pairs (E [keV], photons / keV), normalised to Σ φ ΔE = 1.

> The detailed description below is the original text — the summary and the headings are translated.

模型(厚い陽極):

• 制動放射は Kramers の薄い標的の断面積 ∝ 1/(T·E) を、電子が T = E₀ から E まで減速するあいだ積分する。減速は到達深さ x(T) = R(E₀) − R(T)(Kanaya–Okayama の R ∝ T^1.67)で表す。自己吸収が無ければ積分は Kramers の式 φ(E) ∝ (E₀ − E)/E そのものになる(門で確かめる)。

• 陽極の自己吸収: 深さ x で生まれた光子は取り出し角 θ の方向へ x/sin θ だけ陽極の中を通る(μ は materials の X 線の列から W を引く)。

• 特性線(管電圧が K 端より高いとき): Kα₂ / Kα₁ / Kβ₁ / Kβ₂(X-ray Data Booklet のエネルギーと相対強度)、総数は (U − 1)^K_EXPONENT(K_EXPONENT = 1.15、U = E₀/E_K)に比例。各線は 1 つのビンに入る。

• フィルタ: filtration = ((材料, 厚さ mm), …)。既定の Al 2.5 mm は管の固有ろ過の代表値。

kvp は 15〜300 kV、de_kev はビン幅(0.05〜5 keV)。返り値の E はビンの中心。特性線の強さは簡易模型(K_SCALE)で、実測のスペクトルとは数 % ずれる。線質の門は xray_beam_quality の半価層を公表の線質と比べる。

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• poc_dual_energy_xray — py -3.11 examples/poc_dual_energy_xray.py

Ops the type connects to (they accept `pairs` as input)

xray_beam_quality · photon_counting_channels · dual_kvp_channels

Same category (`spectral_xray`)

material_xray_table · material_xray_attenuation · material_xray_constants · material_effective_z · xray_beam_quality · photon_counting_channels · dual_kvp_channels · xray_channel_projection

*Provenance: dualxray.py — TOMOGRAPHY operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

xray_tube_spectrum — TOMOGRAPHY spectral_xray op