🔭 光學工具

🔆 光學放大率計算器Magnification Optics 光學放大率計算器求橫向放大率 m=−dᵢ/dₒ（負號表示倒立），適合幾何光學成像、顯微鏡與投影系統的像放大分析。Magnification Optics - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 光柵衍射角計算器Diffraction Grating 光柵衍射角計算器由光柵常數與波長求第 m 級衍射角，依據 d·sinθ=mλ，適合光譜儀、波長測量與物理實驗的衍射分析。Diffraction Grating - compare online, free and clear. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 全反射臨界角計算器Critical Angle 輸入兩種介質的折射率，按 sin θc = n₂/n₁ 計算光從光密到光疏介質發生全反射的臨界角。用於光纖、稜鏡與全反射原理演示。Critical Angle - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 單縫衍射暗紋計算器Single Slit Diffraction 單縫衍射暗紋計算器求夫琅禾費單縫衍射第一暗紋角 a·sinθ=λ，適合物理實驗、光學測量與衍射現象的定量分析。Single Slit Diffraction - compare online, free and clear. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics ... 🔆 布儒斯特角計算器Brewster Angle 布儒斯特角計算器求反射光完全偏振時的入射角 θ=arctan(n₂/n₁)，適合光學薄膜、偏振片與反射消除等場景的參數確定。Brewster Angle - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 折射率計算器Refractive Index 折射率計算器由光在介質中的速度 v 與真空中 c 求折射率 n=c/v，適合光學材料表徵、光速測量與介質識別。Refractive Index - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 數值孔徑分辨率計算器Numerical Aperture 數值孔徑分辨率計算器由 NA 求顯微鏡最小可分辨距離 d=0.61λ/NA，適合顯微觀察、物鏡選型與成像分辨率評估。Numerical Aperture - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 斯涅爾定律折射計算器Snells Law 斯涅爾定律折射計算器由入射角與兩側折射率求折射角 n₁sinθ₁=n₂sinθ₂，並判斷是否全反射，適合幾何光學與光纖傳輸分析。Snells Law - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 球面鏡成像公式 1/f = 1/d_o + 1/d_iMirror Equation 輸入凹/凸面鏡焦距、物距，按 1/f = 1/d_o + 1/d_i 計算像距並判斷成像正倒、虛實、大小。用於中學物理與光學成像練習。Mirror Equation - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 瑞利分辨極限計算器Rayleigh Criterion 瑞利分辨極限計算器求圓孔衍射的最小可分辨角 θ=1.22λ/D，適合望遠鏡、顯微鏡與相機鏡頭的分辨率極限評估。Rayleigh Criterion - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🥞 由兩透鏡焦距與間距求組合焦距Separated Lenses Focal 輸入兩薄透鏡焦距 f₁、f₂ 與間距 d，按 1/F = 1/f₁ + 1/f₂ − d/(f₁f₂) 計算組合系統等效焦距。用於組合鏡頭、望遠鏡目鏡組設計。Separated Lenses Focal - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🎯 由孔徑與波長求圓形孔徑分辨本領Resolving Power 輸入圓形孔徑直徑 D 與光波長 λ（納米），按 R = D / (1.22·λ) 計算分辨本領與極限分辨角。用於望遠鏡、顯微鏡與相機分辨率評估。Resolving Power - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔺 由折射率與頂角求小角度稜鏡偏向角Prism Deviation 輸入稜鏡材料折射率 n 與頂角 A（小角度近似），按 δ ≈ (n − 1)·A 計算光線偏向角。用於色散稜鏡、分光元件的偏折估算。Prism Deviation - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔍 由明視距離與焦距求簡單放大鏡角放大率Angular Magnification 輸入明視距離 N（約 25 cm）與簡單放大鏡焦距 f，按 M = N / f 計算角放大率。用於放大鏡、放大鏡組的光學放大能力估算。Angular Magnification - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. ⭕ 由曲率半徑求球面鏡焦距Focal Length Mirror 球面鏡焦距計算器依據 f=R/2 由曲率半徑求凹/凸面鏡焦距，適合幾何光學、望遠鏡與反射鏡設計的參數換算。Focal Length Mirror - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. ↔️ 由波長、屏距與縫距求條紋間距Young Fringe 輸入光波波長 λ（納米）、屏距 L（米）與雙縫間距 d（毫米），按 Δy=λL/d 計算楊氏雙縫干涉相鄰明（暗）條紋的間距，用於物理實驗。Young Fringe - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 📈 由源頻率、相對速度與光速求觀測頻率Doppler Optical 輸入源頻率 f、相對速度 v 與光速 c，求觀測頻率（近似非相對論）。Doppler Optical - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 📷 由焦距與入瞳直徑求光圈數F Number 輸入鏡頭焦距 f 與入瞳直徑 D，按 N = f/D 計算光圈數（F 值）。用於相機鏡頭、望遠鏡的光圈與進光量計算。F Number - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. ⚡ 由焦距求透鏡光焦度（屈光度）Optical Power Diopter 透鏡光焦度計算器依據 P=1/f（f 以米計）將焦距換算為屈光度（D），適合驗光配鏡與光學系統的光焦度統一。Optical Power Diopter - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔭 由物鏡與目鏡焦距求望遠鏡放大率Telescope Magnification Calculator - Telescope Magnification : Input f_o , f_e , Output M 輸入望遠鏡物鏡焦距 f_o 與目鏡焦距 f_e，按 M = f_o / f_e 計算角放大率。用於天文/觀景望遠鏡的倍率設計與選配。Telescope Magnification Calculator - Telescope Magnification : Input f_o , f_e , Output M - free online tool. 〰️ 由膜厚、折射率與級次求相消波長Thin Film Min 輸入薄膜折射率 n、厚度 t（納米）與干涉級次 m，按 2nt=(m+½)λ 計算垂直入射時產生相消干涉的波長，用於鍍膜與增透設計。Thin Film Min - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 〰️ 由膜厚、折射率與級次求相長波長Thin Film Max 輸入薄膜折射率 n、厚度 t（納米）與干涉級次 m，按 2nt=mλ 計算垂直入射時產生相長干涉的波長，用於薄膜光學與反射增強分析。Thin Film Max - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. ☀️ 由起偏光強與偏振片夾角求透射光強Malus Law 輸入線偏振入射光強 I₀ 與檢偏器夾角 θ，按馬呂斯定律 I = I₀·cos²θ 計算透射光強。用於偏振片、液晶顯示與光學實驗分析。Malus Law - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔬 由鏡筒長、明視距離與兩焦距求總放大率Microscope Magnification 輸入光學筒長 L、明視距離 N、物鏡焦距 f_o、目鏡焦距 f_e，求總放大率。Microscope Magnification - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 磨鏡者公式計算器Lens Maker 磨鏡者公式計算器依據曲率半徑與折射率求薄透鏡焦距 1/f=(n−1)(1/R₁−1/R₂)，適合透鏡設計與光學加工的參數確定。Lens Maker - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 組合透鏡焦距計算器Combined Lens Focal 組合透鏡焦距計算器求密接雙透鏡的等效焦距 1/f=1/f₁+1/f₂，適合光學系統設計中多片透鏡的焦距合成與換算。Combined Lens Focal - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 菲涅爾反射率計算器Fresnel Reflectance 菲涅爾反射率計算器求正入射時界面反射的能量比例，由兩介質折射率確定，適合增透膜、窗口與光纖端面的反射損耗估算。Fresnel Reflectance - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools. 🔆 薄透鏡成像公式 1/f = 1/d_o + 1/d_iThin Lens Equation 薄透鏡成像公式計算器依據 1/f=1/dₒ+1/dᵢ 由物距與焦距求像距，並判斷正倒立與虛實，適合幾何光學成像習題與鏡頭設計。Thin Lens Equation - free online tool. Free online tool on ToolBox — 100% client-side, no data uploaded, no install. Part of the Optics tools.