watermedia op• 数据种类:无 → table(仅由参数决定的算子 —— 不接受图像或数据输入)
• 调用: import fullseye as fs; fs.ledger.cylinder_lens_caustic(radius_mm, n_glass, n_fill=1.0, thickness_wall_mm=0.0, n_rays=41) -> 'dict'(要直接调用实现,import watermedia; watermedia.cylinder_lens_caustic(radius_mm, n_glass, n_fill=1.0, thickness_wall_mm=0.0, n_rays=41) -> 'dict';从台账取用则 opsoptics.get("cylinder_lens_caustic"))
• GPU:无(仅 CPU 参考实现)
平行光束中圆柱(棒或瓶)的近轴焦点与实际光线的焦散线 -> 字典。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
thickness_wall_mm = 0 is a solid rod of index n_glass and outer radius radius_mm; thickness_wall_mm > 0 is a hollow tube of that wall thickness filled with a medium of index n_fill (1.0 = empty, 1.333 = water). The light travels along +z across the axis (at the origin) and is bent in the plane of the section. The paraxial focus comes from the 2x2 ray-transfer matrix of the surfaces (efl = -1/C, back focal distance -A/C); for a solid rod it is the closed form f = n R / (2 (n - 1)) measured from the axis, and for a thin-walled tube filled with n_fill the two-interface limit n_fill R / (2 (n_fill - 1)). The real rays are traced surface by surface with the exact vector form of Snell's law at parallel heights from the axis up to 95 % of the clear aperture (the rod, or the fill); focus_z_mm is where each leaves the cylinder and crosses the axis (distance from the axis, NaN if it does not cross), caustic_z_mm / caustic_y_mm the envelope of neighbouring exit rays. The marginal focus (the highest ray that leaves the cylinder before it crosses the axis) is shorter than the paraxial one (positive spherical aberration). The table also has paraxial_focus_mm (from the axis), efl_mm, power_per_mm (C; an empty thin tube has almost none), efl_closed_form_mm, marginal_focus_mm, longitudinal_aberration_mm, heights_mm, paths_z_mm / paths_y_mm (the ray points from the start to the exit) and exit_dir_z / exit_dir_y. n_glass <= 1, n_fill < 1 and a wall as thick as the radius are refused.
optics 的每个算子都先校验输入再计算(不让任何东西无声通过):
• 单位写进参数名 —— _mm / _um / _deg / _mrad。把 mm 和 µm 弄混不会崩溃,而是给出「看着合理却是错的答案」,所以用命名来防。这里绝不从数值大小去猜单位。
• 字符串一律 ValueError —— float('50') 会成功,于是未解析的配置值会被当成长度混进来(实测:thin_lens('50', '200') 曾返回看着合理的 66.667 mm)。bool 也按 True == 1 的隐式提升拒绝。
• complex / masked array 一律 ValueError(仅接受实数槽位;拒绝无声丢弃虚部或剥掉掩码)。所有输入中的 NaN/Inf 一律 ValueError。但已声明的缺测除外:bottle_fit_from_pattern 的 u_map 以 NaN 接收未能测得的像素(∞ 仍被拒绝)。
• 逐项点名拒绝除零及其近亲:焦距 0、曲率半径 0、折射率 <= 0、全不透明光阑(全为 0,归一化变成 0/0)、总和 <= 0 的 PSF、S0 = 0 的 Stokes 矢量、物体位于前焦点(像在无穷远)。
• 只有两个算子会返回非有限值,而且都写进了契约:depth_of_field 在超焦距以外返回 far_mm = inf(这正是超焦距的定义),gaussian_beam 在束腰处返回 wavefront_radius_mm = inf(平面波前的曲率半径)。两者都同时返回一个有限的搭档(far_is_infinite / curvature_per_mm)。除此之外的无声 NaN/Inf 都在内部检出并 ValueError ——「float64 溢出了」和「答案是无穷大」是两种不同的主张,不能拿后者的脸去交付前者。但已声明的缺测除外:bottle_background_map 对光线不可用的像素(全反射等)在 u_mm 中返回 NaN,并同时返回 valid 掩码和数量。
• 尺寸上限:生成网格受 optics.MAX_GRID(4096)限制,传入的场/PSF/光阑受 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「小参数引发巨大内部分配」的路径(实测:n_max=40 × 4096² 需要 108 GB)。
• 物理上不可能的状态同样拒绝:偏振度 > 1 的 Stokes 矢量、负透过率、负强度、n-|m| 为奇数等非法 Zernike 指标。
• 示例数据目录(下载 URL / 许可证) —— 2-D 用 skimage.data(BSD/公有领域)加合成图,3-D 给出真实数据源(Stanford/PDS 等)的下载 URL。
• 算子来历与参考文献 —— 该算子族所依据的研究/方法出处。
• 算法的正典(作者、年份)与用途见上面的族使用指南。
• poc_water_transparent_media — py -3.11 examples/poc_water_transparent_media.py
table 作为输入)abcd_matrix · wavefront_stats · sfr_from_edge · paraxial_trace · seidel_coefficients · spot_stats · tolerance_analysis · wavefront_from_opd
watermedia)ocean_spectrum · ocean_height_field · fresnel_water_air · snell_window · refracted_view · water_attenuation · underwater_image · phase_function_hg
*Provenance: watermedia.py — OPTICS 算子登记表。本条目由 tools/opdocs.py md 自动生成(请勿手工编辑)。*
© 2026 Kazufumi Furuse — Fullseye operator documentation. Licensed under Apache-2.0.