# 引力透镜模拟器

引力透镜交互式模拟：拖动大质量天体弯曲时空，观测爱因斯坦环、多重成像和弧形畸变

> 标准页面: https://elysiatools.com/zh/visualizations/gravitational-lensing

- **分类:** Physics

## 概述

Interactive gravitational lensing simulation based on Einstein's General Relativity. Drag a point-mass lens to bend spacetime and observe Einstein rings, multiple images, and arc distortions in real time. Lens equation: β = θ − θ_E²/θ, deflection angle α = 4GM/(c²ξ). Einstein radius θ_E = √(4GM D_LS/(c² D_L D_S)) scales with √mass and source distance. Three visualization layers: background grid distortion (source plane mapped through lens), lensed source galaxy (point-mass image solver showing arcs/rings), and light ray tracing. Adjustable parameters: lens mass (5–200), source distance (0.3–3.0), grid density (8–40). Display toggles: grid, source, light rays, Einstein ring overlay. Four presets: Perfect Alignment (Einstein ring), Slight Offset (two arcs), Giant Arc (massive lens), Einstein Cross (four-image configuration). Real-time statistics: Einstein radius, deflection angle, magnification μ = (u²+2)/(u√(u²+4)), image count. Touch-enabled drag for mobile. Educational content covers gravitational lensing theory, Einstein ring and cross formation, caustic structure, and applications (dark matter mapping, exoplanet microlensing, Hubble constant measurement, natural telescope magnification). Multi-language support (zh, en, es, fr, de, ru, pt).

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