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.ocean_height_field(size, extent_m, wind_speed_mps, wind_dir_deg, t=0.0, seed=0, kind='pierson_moskowitz', directional='cos2', choppiness=0.0, depth_m=None, spreading_s=10.0, fetch_m=None, single_mode=None) -> 'dict'(要直接调用实现,import watermedia; watermedia.ocean_height_field(size, extent_m, wind_speed_mps, wind_dir_deg, t=0.0, seed=0, kind='pierson_moskowitz', directional='cos2', choppiness=0.0, depth_m=None, spreading_s=10.0, fetch_m=None, single_mode=None) -> 'dict';从台账取用则 opsoptics.get("ocean_height_field"))
时刻 t 的 Tessendorf(2001)FFT 海面 -> 字典(高度、斜率、法线图、位移)。
> 以下的详细说明为原文 —— 摘要与标题已翻译。
The wave-number spectrum is the omnidirectional spectrum of ocean_spectrum carried to the plane, psi(k, theta) = S(omega) D(theta) (d omega / d k) / k, with the dispersion omega^2 = g k (deep water) or omega^2 = g k tanh(k h) when depth_m is given. D is cos2 (2/pi cos^2 within 90 degrees of the wind) or cos2s (cos^(2s)((theta - theta_w) / 2), s = spreading_s), both normalised to 1 over the circle. The random amplitudes are h0(k) = (xi_r + j xi_i)/sqrt(2) sqrt(psi / 2) dk and h(k, t) = h0(k) e^(-j omega t) + conj(h0(-k)) e^(+j omega t), which is Hermitian, so the height is real (imag_residual reports the largest imaginary part left by the transform). The mean, the Nyquist row and column are zeroed. seed fixes the amplitudes:
the same seed gives the same sea at every t. choppiness moves each point horizontally by choppiness times the Tessendorf displacement (0 gives exactly zero displacement). size is the number of points per side (the grid is size x size over extent_m metres, wrap-around); wind_dir_deg is the direction the waves travel, from +x towards +y. single_mode=(mx, my, amplitude_m) replaces the random sea with one travelling cosine wave. The table has height, slope_x, slope_y (dh/dx, dh/dy), normal (H, W, 3), displacement_x / displacement_y, x_m / y_m, extent_m, variance_expected_m2 and slope_variance_expected (the sums of the spectrum over the modes in use), cox_munk_slope_variance (0.003 + 0.00512 U, Cox & Munk 1954), slope_variance_with_tail and omega_mode (single mode only). A sea of this kind has no capillary waves, so its resolved slope variance is far below the Cox & Munk value; slope_variance_with_tail adds the saturation range alpha / 2 ln(k_c / k_nyquist) of the spectrum up to the gravity-capillary wave number k_c = 370 rad/m. That agrees with Cox & Munk at 5 m/s and falls 40 % short at 10 m/s (the constant alpha of the Pierson-Moskowitz range does not grow with the wind); both are shown in the PoC.
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。
• 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。
• 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_inspection_images — py -3.11 examples/poc_water_inspection_images.py
• 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 · fresnel_water_air · snell_window · refracted_view · water_attenuation · underwater_image · phase_function_hg · scattering_phase_petzold
*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.