design op• 資料種類:table → table
• 呼叫: import fullseye as fs; fs.ledger.set_vignetting(system, fields=None, rings=8, wavelength_um=None, mode='four')(要直接呼叫實作,import raytrace; raytrace.set_vignetting(system, fields=None, rings=8, wavelength_um=None, mode='four');從台帳取用則 opsoptics.get("set_vignetting"))
與「set vignetting」相同,求出消除所有被口徑截斷光線的漸暈係數(table)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
For each field (a list of radial field values; default the existing records' fields, else the system's own field) the real-ray-aimed pupil is searched along ±x and ±y for the edge of the clear region (bisection to 1e-13): VDX, VDY are the centres and VCX, VCY one minus the half-widths, VAN is 0.
*mode* "four" (the default) is the definition of the format's user guide (knowledge-base article
KA-01393): the factors are chosen so that exactly the four marginal rays — top (0, 1), bottom (0, -1), left (-1, 0) and right (1, 0) of the vignetted pupil — pass every aperture. It is what reproduces the factors recorded in a file, but when the clear region is not an ellipse (e.g. two offset circles) rays between the four can still be clipped. "grid" is the stricter option: if a rings-ring hexapolar grid plus a 72-point rim of the resulting ellipse still has clipped rays the ellipse is shrunk about its centre until none is, so afterwards no ray of the grid is clipped. A field with nothing clipped gets all-zero factors (to 1e-9 and in practice exactly). A field whose chief ray is itself clipped raises ValueError. Returns a copy of *system* with aim="stop" (the factors are fractions of the stop pupil, so they belong to real-ray aiming) and the records for those fields replaced; vignetting_set records the fields, grid (rings, n_checked rays per field), and wavelength the factors were verified on.
optics 的每個運算子都先檢驗輸入再計算(不讓任何東西無聲通過):
• 單位寫進參數名 —— _mm / _um / _deg / _mrad。把 mm 和 µm 弄混不會當掉,而是給出「看似合理卻是錯的答案」,所以用命名來防。這裡絕不從數值大小去猜單位。
• 字串一律 ValueError —— float('50') 會成功,於是未解析的設定值會被當成長度混進來(實測:thin_lens('50', '200') 曾回傳看似合理的 66.667 mm)。bool 也按 True == 1 的隱式提升拒絕。
• complex / masked array 一律 ValueError(僅接受實數槽位;拒絕無聲丟棄虛部或剝掉遮罩)。所有輸入中的 NaN/Inf 一律 ValueError。
• 逐項點名拒絕除零及其近親:焦距 0、曲率半徑 0、折射率 <= 0、全不透明光闌(全為 0,正規化變成 0/0)、總和 <= 0 的 PSF、S0 = 0 的 Stokes 向量、物體位於前焦點(像在無窮遠)。
• 只有兩個運算子會回傳非有限值,而且都寫進了契約:depth_of_field 在超焦距以外回傳 far_mm = inf(這正是超焦距的定義),gaussian_beam 在束腰處回傳 wavefront_radius_mm = inf(平面波前的曲率半徑)。兩者都同時回傳一個有限的夥伴(far_is_infinite / curvature_per_mm)。除此之外的無聲 NaN/Inf 都在內部檢出並 ValueError ——「float64 溢位了」和「答案是無窮大」是兩種不同的主張,不能拿後者的臉去交付前者。
• 尺寸上限:生成網格受 optics.MAX_GRID(4096)限制,傳入的場/PSF/光闌受 optics.MAX_FIELD_ELEMENTS(2^24),ABCD 元件序列受 optics.MAX_SYSTEM_ELEMENTS(1024),Zernike 受 MAX_ZERNIKE_TERMS(512)/ MAX_ZERNIKE_ORDER(40)/ MAX_ZERNIKE_BASIS(2^25)。以 fail-closed 堵住「小參數引發巨大內部配置」的路徑(實測:n_max=40 × 4096² 需要 108 GB)。
• 物理上不可能的狀態同樣拒絕:偏振度 > 1 的 Stokes 向量、負穿透率、負強度、n-|m| 為奇數等非法 Zernike 指標。
• 範例資料目錄(下載 URL / 授權) —— 2-D 用 skimage.data(BSD/公有領域)加合成圖,3-D 給出真實資料源(Stanford/PDS 等)的下載 URL。
• 運算子來歷與參考文獻 —— 該運算子族所依據的研究/方法出處。
• 演算法的正典(作者、年份)與用途見上面的族使用指南。
• optical_design_metrics — py -3.11 examples/optical_design_metrics.py
table 作為輸入)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
design)lens_system · thick_lens · glass · example_system · glass_catalog · sellmeier · paraxial_trace · seidel_coefficients
*Provenance: raytrace.py — OPTICS 運算子登記表。本條目由 tools/opdocs.py md 自動產生(請勿手動編輯)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.