light_transport op• 資料種類:無 → table(僅由參數決定的運算子 —— 不接受影像或資料輸入)
• 呼叫: import fullseye as fs; fs.ledger.groove_profile(kind='vgroove', n_patches=240, width=1.0, angle_deg=None, floor_frac=None, vertices=None)(要直接呼叫實作,import lighttransport; lighttransport.groove_profile(kind='vgroove', n_patches=240, width=1.0, angle_deg=None, floor_frac=None, vertices=None);從台帳取用則 opsoptics.get("groove_profile"))
把凹形截面(V 形槽、圓弧槽、圓角焊腳或任意下凹折線)劃分為面片,每個面片對應一列相機像素(table)。
> 以下的詳細說明為原文 —— 摘要與標題已翻譯。
The part is extruded along the groove axis; the cross-section is a function z(x) that is concave (a valley), viewed by an orthographic camera from straight above, one patch per pixel column. The built-in shapes are sampled at n_patches + 1 uniform x (a kink between two samples is cut by the chord), rims at z = 0. *angle_deg* is the shape's defining angle and *floor_frac* the share of *width* that is a flat floor; None takes the per-shape default.
• "vgroove" — two plates with full opening angle *angle_deg* (default 90 = an inner corner tipped by 45 degrees, range [5, 175]), meeting at the bottom or, with floor_frac > 0 (default 0), on a centred flat floor (a trapezoidal groove). With no floor and an even *n_patches* the vertex is a patch edge.
• "trough" — circular arcs that reach a wall slope of *angle_deg* at the rims (default 60, range (0, 90)), with an optional centred floor (default 0).
• "fillet" — a flat floor over the left *floor_frac* of the width (default 0.5, range (0, 1)), then a circular arc tangent to it rising to a wall slope of *angle_deg* at the right rim (default 70, range (0, 85]) — a solder-fillet-like meniscus. The floor's left end is open.
• "polyline" — *vertices* (P+1, 2) as (x, z).
Returns a dict (a table) with kind = "lt_profile", shape, vertices (P+1, 2), centers (P, 2), normals (P, 2, unit, pointing up out of the material), lengths (P,) and x_centers (P,).
Raises ValueError: unknown *kind*; *n_patches* not an integer in [2, 2048]; non-positive or non-finite *width*; *angle_deg* or *floor_frac* outside the shape's range; *vertices* given for a built-in shape or missing for "polyline"; vertices that are not a concave function z(x) (x not strictly increasing, or a convex turn).
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。
• converge_tour — py -3.11 examples/converge_tour.py
• poc_interreflection_fringe_error — py -3.11 examples/poc_interreflection_fringe_error.py
• poc_itof_multifreq — py -3.11 examples/poc_itof_multifreq.py
table 作為輸入)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
light_transport)form_factors_2d · transport_matrix_radiosity · high_frequency_patterns · render_transport · separate_direct_global · fringe_multipath_phase_error · predict_fringe_phase_error · micro_phase_decode
*Provenance: lighttransport.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.