Física
Explore os princípios da física por meio de simulações interativas
103 visualizations
Force Resolution - 力的分解
Interactive simulation of force resolution into rectangular components using trigonometry. Features comprehensive force resolution simulation: horizontal component Fx = F·cos(θ), vertical component Fy = F·sin(θ), Pythagorean verification F² = Fx² + Fy², and real-time angle animation. Two application scenarios: Basic (standard horizontal/vertical resolution with component triangle visualization) and Pendulum (gravity resolved into tangential component mg·sinθ as restoring force and radial component mg·cosθ as string tension). Interactive controls: force magnitude (F: 10-200 N), force angle (θ: 0-360°), display scale (0.5-3x), toggles for value labels, component triangle, and grid. Real-time calculations display: angle θ, cos(θ), sin(θ), Fx component, Fy component, and Pythagorean theorem verification. Visual elements: color-coded force arrows (red for resultant F, blue for Fx, green for Fy), semi-transparent component triangle, angle arc with θ label, coordinate grid with axes, and draggable force vector for interactive angle adjustment. Animation features: continuous angle rotation (0-360° in 3 seconds), preset configurations (horizontal, 30°, 45°, 60°, vertical, and quadrant angles). Educational content covering force resolution theory, trigonometric principles (right triangle relationships), pendulum mechanics (restoring force, tension, oscillatory motion), and real-world applications (structures & bridges, projectile motion analysis, ramps design, wheelchair ramps and loading docks). Multi-language support (zh, en, fr, de, es, pt, ru).
Force Composition - 力的合成
Interactive visualization of force composition using parallelogram rule and component method with vector addition and decomposition. Features comprehensive force mechanics simulation: parallelogram rule (F = F₁ + F₂), component method (Fx = F₁cosα + F₂cosβ, Fy = F₁sinα + F₂sinβ), resultant magnitude |F| = √(Fx² + Fy²), and direction θ = arctan(Fy/Fx). Three visualization modes: Parallelogram (shows geometric construction with dashed lines completing the parallelogram), Triangle (head-to-tail method showing F₁ + F₂), and Components (breaks forces into x and y components with color-coded display). Interactive controls: Force 1 magnitude (F₁: 10-100 N) and angle (α: 0-360°), Force 2 magnitude (F₂: 10-100 N) and angle (β: 0-360°), display scale (1-5x), and grid toggle. Real-time calculations display: F₁ components (F₁x, F₁y), F₂ components (F₂x, F₂y), total components (Fx, Fy), resultant force magnitude, and direction angle. Visual elements: color-coded force vectors (red for F₁, blue for F₂, green for resultant F), purple for Fx components, orange for Fy components), parallelogram fill with transparent overlay, dashed auxiliary lines, force arrow labels with magnitude, interactive drag handles on force arrow tips, and coordinate grid. Drag interaction: click and drag force arrow tips to adjust magnitude and angle in real-time. Preset configurations button for quick demonstrations of various force combinations. Educational content covering force composition theory, parallelogram rule explanation, component method derivation, vector addition principles, and real-world applications (engineering structures, navigation with wind/currents, physics problems). Multi-language support (zh, en, fr, de, es, pt, ru).
Lever Principle - 杠杆原理
Interactive visualization of lever principle with torque balance, mechanical advantage, and three classes of levers. Features comprehensive lever mechanics simulation: torque balance equation F₁·L₁ = F₂·L₂, mechanical advantage calculation MA = L₁/L₂, and real-time lever rotation animation. Three lever classes demonstration: Class 1 (fulcrum in middle - seesaw, scissors), Class 2 (load between fulcrum and effort - wheelbarrow, nutcracker), Class 3 (effort between fulcrum and load - tweezers, fishing rod). Interactive controls: Force 1 (F₁: 1-100 N), Distance 1 (L₁: 0.5-5.0 m), Force 2 (F₂: 1-100 N), Distance 2 (L₂: 0.5-5.0 m), fulcrum position (10-90% for Class 1), and animation speed (0.1-3.0x). Real-time calculations display: torque 1 (F₁·L₁), torque 2 (F₂·L₂), net torque, mechanical advantage, and balance status. Visual elements: lever beam with rotation animation, force vectors showing magnitude and direction, load boxes proportional to force, fulcrum triangle, angle indicator, and color-coded force arrows (red for F₁, blue for F₂). Animation features: lever rotation based on net torque with damping, auto-balance button to calculate required force, start/pause/reset controls. Educational content covering torque and balance theory, mechanical advantage concepts, three classes of levers with examples, practical applications (seesaws, wheelbarrows, fishing rods), and force-distance trade-offs. Multi-language support (zh, en, fr, de, es, pt, ru).
Pulley Systems - Mechanical Advantage Visualization
Interactive visualization of pulley systems including mechanical advantage, force vectors, displacement relationships, and efficiency calculations. Features comprehensive pulley system display with multiple configurations: fixed pulley (MA=1), movable pulley (MA=2), compound systems (2:1, 3:1). Real-time physics simulation showing pulley wheels, rope routing, load lifting animation, and force vectors. Mechanical advantage calculation: MA = n (number of rope segments supporting load). Force analysis: ideal force F = mg/n, actual force accounting for friction F = mg/(n × η). Efficiency calculation: η = W_out/W_in, with typical values 85-95%. Displacement relationship: d_input = n × d_output demonstrating conservation of energy. Interactive controls: pulley type selection, friction coefficient (0-0.2), load mass (1-100 kg), gravity (1.6-20 m/s² for different celestial bodies), and load displacement (0.1-5 m). Display options: force vectors and component labels. Animation control with start/stop and reset buttons. Four visualization panels: pulley system configuration showing physical setup, force diagram with vector arrows, work comparison bar chart (W_out vs W_in), and displacement analysis showing distance ratio. Real-time statistics: mechanical advantage, applied force, load weight, efficiency percentage, output work, input work, and energy loss. Educational content covering mechanical advantage theory, fixed vs movable pulleys, system efficiency losses, force-displacement trade-offs, and practical applications in elevators, cranes, sailboat rigging, theater fly systems, and construction equipment. Multi-language support (zh, en, de, fr, es, pt, ru).
Duffing Oscillator - Nonlinear Dynamics & Chaos Visualization
Interactive visualization of the Duffing oscillator - explore nonlinear dynamics, chaos theory, and bifurcation phenomena through the equation ÿ + δẏ + αy + βy³ = γ cos(ωt). Features four real-time visualization panels: time domain plot showing position x(t) with transient/steady-state coloring, phase portrait (ẋ vs x) displaying limit cycles and strange attractors with gradient trails, Poincaré section sampling at fixed drive phase revealing fractal structures, and potential energy surface V(x) = -½αx² + ¼βx⁴ with animated particle. Comprehensive parameter controls: damping δ (0-1.0), linear coefficient α (-2.0 to 2.0), nonlinear coefficient β (0.1-5.0), drive amplitude γ (0-5.0), drive frequency ω (0.1-5.0), initial conditions x₀, v₀ (-3 to 3), time step dt (0.001-0.1), transient time (0-200), and trail length (100-2000). Five preset configurations: classic chaos (δ=0.3, α=-1.0, β=1.0, γ=0.5, ω=1.2), double well oscillation (δ=0.2, α=-1.0, β=1.0, γ=0.3, ω=1.0), periodic motion (δ=0.5, α=1.0, β=1.0, γ=2.5, ω=1.0), hard spring (δ=0.3, α=1.0, β=1.0, γ=0.5, ω=1.2), and free oscillation (δ=0.1, α=-1.0, β=1.0, γ=0). Real-time statistics display: kinetic energy T = ½v², potential energy V(x) = -½αx² + ¼βx⁴, total energy E = T + V, maximum position and velocity, and simulation time. Numerical integration using fourth-order Runge-Kutta (RK4) method converting second-order ODE to first-order system: dx/dt = v, dv/dt = γ·cos(ωt) - δ·v - α·x - β·x³. Visualization options: toggle trajectory display, Poincaré points, potential energy surface, and particle animation. Educational content covering Duffing equation theory, parameter guide (damping, linear/nonlinear coefficients, drive amplitude/frequency), visualization guide (time domain, phase portrait, Poincaré section, potential energy), and applications (mechanical vibrations, nonlinear circuits, biological oscillators, climate dynamics, quantum analogies). Demonstrates double-well potential chaos, period-doubling route to chaos, sensitivity to initial conditions, strange attractors, and hysteresis phenomena. Perfect for nonlinear dynamics education, chaos theory research, and physics demonstrations. Multi-language support (zh, en, es, fr, de, ru, pt).
Prism Dispersion - Interactive Light Dispersion Simulator
Interactive prism dispersion visualization - explore how white light separates into rainbow colors through refraction using Snell's law n₁sin(θ₁) = n₂sin(θ₂), Cauchy's dispersion equation n(λ) = A + B/λ², and deviation angle calculation δ = i + e - A. Features full 7-color spectrum (Red 700nm, Orange 620nm, Yellow 580nm, Green 530nm, Cyan 490nm, Blue 470nm, Violet 400nm) with wavelength-dependent refractive indices. Four materials: BK7 glass (n≈1.513-1.530), Flint glass (high dispersion), Diamond (very high dispersion), Water. Adjustable parameters: prism apex angle A (30°-90°, default 60°), incident angle i (0°-89°), prism size, and display options (normal lines, angle labels, ray labels, spectrum legend, animation). Four presets: Rainbow Colors (standard), Minimum Deviation (optimal angle), High Dispersion (flint glass), Custom Angle. Real-time statistics table showing incident angle, exit angle, deviation angle, and refractive index for each wavelength. Canvas-based 2D ray tracing with smooth light propagation animation, zoom/pan controls, glassy prism appearance, and spectrum bar. Educational content: Snell's law, Cauchy equation, wavelength-dependent refraction, normal dispersion, applications (spectroscopy, rainbows, optical instruments), and Newton's historical prism experiments. Multi-language support (zh, en, de, fr, es, ru, pt)
Optical Fiber Principle - 光纤原理
Interactive visualization of optical fiber principles - explore numerical aperture NA = √(n₁² - n₂²), acceptance angle θₐ = arcsin(NA), critical angle θ꜀ = arcsin(n₂/n₁), total internal reflection, signal attenuation P(z) = P₀ × e^(-αz), and single-mode vs multimode operation. Features five interactive canvas visualizations: fiber cross-section showing core/cladding structure with animated light rays, light propagation path with zigzag total internal reflection pattern and animated pulses, signal attenuation curve displaying exponential power decay over distance (0-100 km), digital signal transmission with moving marker and simulated noise, and real-time mode analysis panel. Comprehensive parameter controls: core refractive index n₁ (1.3-2.5, default 1.48), cladding index n₂ (1.3-2.5, default 1.46), core diameter (5-200 µm, default 50 µm), wavelength (400-1600 nm, default 1550 nm), input angle (0-30°), fiber length (1-100 km), and display toggles for normal lines, angle markers, multiple rays (multimode visualization), and attenuation effect. Four preset fiber types: Single-Mode ITU-T G.652 (n₁=1.468, n₂=1.463, Ø=9µm, λ=1310nm), Multimode OM3 50/125 (n₁=1.480, n₂=1.460, Ø=50µm, λ=850nm), Multimode OM1 62.5/125 (n₁=1.485, n₂=1.465, Ø=62.5µm, λ=850nm), and Plastic Optical Fiber POF (n₁=1.49, n₂=1.42, Ø=980µm, λ=650nm). Real-time statistics: numerical aperture (0-1.0), acceptance angle in degrees, critical angle at core-cladding interface, fiber mode type (Single-Mode/Multimode), normalized frequency V-number, estimated number of modes (~V²/2 for multimode), and cutoff wavelength λ꜀ = 2πa·NA/2.405. Physics formulas: numerical aperture calculation, acceptance angle from NA, critical angle for TIR, V-number for mode determination, exponential attenuation law with realistic coefficients (0.2 dB/km at 1550nm, 0.35 dB/km at 1310nm, 2.0 dB/km at 850nm). Educational content covering fiber structure (core + cladding), light guiding via total internal reflection, numerical aperture and light gathering ability, single-mode vs multimode operation based on V-number, signal attenuation mechanisms (absorption, scattering, bending), mode dispersion effects, wavelength-dependent attenuation, and practical applications (telecommunications, submarine cables, internet backbone, medical endoscopy, sensors). Demonstrates ray optics model, mode field diameter concepts, acceptance cone visualization, and realistic attenuation coefficients for different wavelength windows. Multi-language support (zh, en, de, fr, es, pt, ru, ja).
Total Internal Reflection Visualization - Interactive Physics Simulation
Interactive simulation of total internal reflection (TIR) - explore critical angle calculation θc = arcsin(n₂/n₁), Snell's law n₁sin(θ₁) = n₂sin(θ₂), refraction vs reflection at medium interfaces, and optical fiber applications. Features dual canvas visualization: main ray tracing view showing incident ray (red), refracted ray (blue), reflected ray (green), critical angle marker (yellow), normal line, angle arcs, and TIR indicator; optical fiber application demo with animated light pulse propagation. Adjustable parameters: refractive indices n₁ (0.5-3.0, default 1.5 glass) and n₂ (0.5-3.0, default 1.0 air), incident angle θᵢ (0-89°), and display toggles for normal line, angle arcs, critical angle marker, fiber animation. Real-time statistics: incident angle, critical angle, refracted angle, TIR status (YES/NO). Four preset scenarios: Glass→Air (n₁=1.5, n₂=1.0), Water→Air (n₁=1.33, n₂=1.0), Diamond→Air (n₁=2.42, n₂=1.0), No TIR case (n₁ < n₂). Physics formulas: Snell's law, critical angle calculation, TIR condition θᵢ > θ꜀ (when n₁ > n₂), reflection law θᵣ = θᵢ. Comprehensive educational content explaining TIR phenomenon, critical angle significance, three required conditions (n₁ > n₂, θᵢ > θ꜀, smooth surface), practical applications (optical fibers, prisms, diamond brilliance, mirages), and fiber optic communication principles. Multi-language support (zh, en, de, fr, es, ru, pt).
Ising Model - Phase Transitions & Critical Phenomena
Interactive visualization of the 2D Ising Model - explore phase transitions, critical phenomena, and Monte Carlo simulations in statistical mechanics. Features real-time Metropolis-Hastings algorithm simulation on N×N spin lattice (N=20-100 adjustable), temperature control from 0.1 to 6.0 with critical temperature Tc ≈ 2.269 highlighted, external magnetic field h (-2 to +2), coupling constant J (-1 to +1 for ferromagnetic/antiferromagnetic), four initial states (random, all up, all down, striped), and simulation speed control (1-100 MC steps/frame). Real-time statistics display: temperature T, T/Tc ratio, total energy E per spin, magnetization |M|, and Monte Carlo steps count. Dual chart visualization: Energy evolution and Magnetization evolution with rolling history (200 data points). Visualization options: cluster highlighting for same-spin connected regions, grid overlay toggle, and color schemes (red/blue or classic black/white). Comprehensive educational content: Ising model theory with Hamiltonian H = -J Σ⟨ij⟩ sᵢsⱼ - h Σᵢ sᵢ, historical milestones (Lenz 1920, Ising 1925, Onsager 1944), phase transition phenomena with three regimes (T
Echo & Reverberation - 回声与混响
Interactive echo and reverberation simulation demonstrating acoustic reflection phenomena with real audio output using Web Audio API. Features comprehensive room acoustic visualization: (1) Room Layout Mode - Top-down room view showing sound source position (S), listener position (L), walls with reflection indicators, adjustable room dimensions (width 5-30m, depth 3-15m, height 3m default), grid overlay with scale markers, and visual representation of sound propagation paths. (2) Sound Ray Tracing - Simplified ray tracing with preset reflection surfaces showing direct sound path (green line) and 8 reflection paths (red dashed lines) from walls, first and second-order reflections, reflection point markers on walls, path length calculation for each reflection, and amplitude decay visualization based on absorption coefficient. (3) Waveform Display - Time-domain visualization showing direct sound pulse followed by delayed reflections, amplitude scaling based on absorption (Aₙ = A₀·(1-α)ⁿ), temporal separation of early reflections (<80ms) and late reflections (>80ms), and RT60 decay window display. (4) Reflection Timeline - Sequential listing of all reflections with arrival time (ms), distance traveled (m), amplitude (%), and reflection order (1st, 2nd, corner), color-coded by reflection type. Adjustable room parameters: room width (5-30m), room depth (3-15m), absorption coefficient α (0-0.95, where 0=fully reflective, 1=fully absorptive), master volume control (0-100%), and sound source/listener positions. Room presets: Small Room (6m×4m, α=0.40 - short reverb, tight sound), Medium Hall (15m×10m, α=0.30 - balanced acoustics), Large Cathedral (25m×15m, α=0.15 - long decay, grand reverb), Outdoor Echo (50m×30m, α=0.05 - distinct slap echo, minimal absorption). Real-time acoustic calculations: Echo delay time t = 2d/v where d=distance to reflecting surface, v=343m/s (sound speed at 20°C), RT60 reverberation time using Sabine formula RT60 = 0.161·V/(A·α) where V=room volume (m³), A=surface area (m²), reflection decay amplitude Aₙ = A₀·(1-α)ⁿ after n reflections, and total reflection count based on room size and absorption. Audio playback implementation using Web Audio API with: Impulse sound generation (hand clap-like percussive sound with noise burst and exponential decay envelope), Direct sound channel with master volume control, Multiple delay nodes for reflections with precise delay times (1-500ms range), Individual gain nodes for each reflection with amplitude scaling, Automatic playback termination after RT60+1s, and simultaneous multi-channel output for realistic spatial effect. Mathematical foundation section covering: Echo Delay Formula t = 2d/v (time for sound to travel distance d and return, doubling accounts for round-trip), RT60 Formula RT60 = 0.161·V/(A·α) (Sabine's equation for reverberation time, V=volume in m³, A=total surface area, α=average absorption coefficient, measures 60dB decay time), Reflection Decay Aₙ = A₀·(1-α)ⁿ (amplitude after n reflections, exponential decay based on absorption), Room Volume V = width×depth×height (total room volume in m³), and speed of sound v = 343m/s at 20°C (temperature dependent: v ≈ 331.3 + 0.606·T where T in °C). Comprehensive educational content: What is Echo & Reverberation? (definitions: echo = distinct repetition of original sound, reverberation = dense cascade of reflections creating 'tail', psychoacoustics: early reflections <80ms integrate with direct sound, late reflections >80ms perceived as echo, Haas effect precedence), How It Works (sound wave propagation in all directions, direct path vs reflected paths, reflection types: specular (smooth surfaces) vs diffuse (rough surfaces), absorption mechanisms: porous absorbers, resonant absorbers, membrane absorbers), Real-World Applications (Concert Hall Design: optimizing RT60 for different music genres - chamber music 1.4-1.7s, orchestral 1.8-2.2s, organ music 2.0-2.5s, Recording Studios: 'dead rooms' with RT60<0.3s for dry recordings, live rooms with RT60>0.6s for ambience, Sonar/Radar: echo ranging for distance measurement d = v·t/2, underwater acoustics, atmospheric sounding, Architectural Acoustics: speech intelligibility requirements RT60<0.8s for classrooms, music enhancement with longer reverb, Audio Production: artificial reverb algorithms (plate, spring, digital), delay effects for creating space, slap echo for rockabilly guitar, hall reverb for orchestral placement), and Listening Guide (listen for distinct 'slap' echo in large reflective spaces, notice decay time - longer = more reverb/wet sound, identify early vs late reflections - early add clarity/width, late create wash/tail, absorption coefficient effect - higher α = shorter decay, room size effect - larger rooms = longer initial delay). Interactive features: Play Echo button triggers impulse sound with all reflections, Stop button terminates audio immediately, Room parameter sliders update calculations in real-time, Preset buttons instantly change room characteristics, Visual waveform shows pulse timing and amplitude relationships, Timeline displays reflection sequence with precise timing, and Room canvas visualizes sound paths and reflection points. Responsive layout with dual-panel design (room visualization left, controls right), waveform section (200px height), reflection timeline (scrollable), formula cards in grid, and applications showcase. Canvas-based rendering with smooth 60fps animations, color-coded paths (green=direct, red=reflected), opacity-based amplitude visualization, and professional acoustic diagram appearance. Multi-language support (zh, en, es, fr, de, ru, pt, ja) with complete translations of interface elements, acoustic terminology, formulas, and educational content.
Brownian Motion in Colloids - 胶体布朗运动
Interactive visualization of Brownian motion in colloidal systems with microscopic particle tracking, statistical analysis, and size comparison. Features four comprehensive visualization modes: (1) Microscope View Mode - Real-time optical microscope simulation with magnification control (100-2000×), multiple colloidal particles (1-50 count) exhibiting random Brownian motion with realistic physics based on Einstein-Smoluchowski theory
Tyndall Effect - 丁达尔效应
Interactive visualization of the Tyndall Effect - Light scattering in colloidal solutions, Rayleigh scattering, and the difference between true solutions and colloids. Features four comprehensive visualization modes: (1) Light Beam Mode - Real-time laser beam visualization through colloidal solution showing visible light path due to particle scattering, intensity calculation using Rayleigh scattering formula I ∝ 1/λ⁴·d⁶·C where λ=wavelength, d=particle size, C=concentration, animated particles with Brownian motion, scattered light visualization with multiple directional vectors showing how light radiates from illuminated particles, and beam intensity gradient along path length. (2) Particle Scattering Mode - Detailed microscopic view of individual particle scattering behavior, 360° scattering pattern demonstration with intensity varying by direction, light source with radiating rays, particle-by-particle scattering intensity calculation based on size and wavelength, and scattered light propagation visualization. (3) Solution Comparison Mode - Side-by-side comparison of three solution types: True Solution (salt water, particles <1nm, no visible beam, minimal scattering), Colloid (milk/protein, particles 1-100nm, visible beam, strong Rayleigh scattering), Suspension (sand in water, particles >100nm, visible beam, Mie/geometric scattering), with simultaneous laser beam demonstration through each container, visibility indicators (Visible/Not Visible), and scattering type labels. (4) Wavelength Spectrum Mode - Comparative analysis of scattering across visible spectrum showing three wavelengths: Blue (450nm, ~9x relative intensity), Green (532nm, ~1x relative intensity), Red (700nm, ~0.17x relative intensity), with relative scattering bars demonstrating I ∝ 1/λ⁴ relationship, color-coded beam visualization, and intensity comparison chart. Adjustable parameters: light source type (Red Laser 650nm, Green Laser 532nm, Blue Laser 450nm, White Light, Custom Wavelength), solution type (Colloid, True Solution, Suspension), wavelength slider (380-750nm for custom), particle size (1-100nm), concentration (0.1-5.0%), incident beam intensity (10-100%), container path length (5-20cm), animation toggle, scattering vectors toggle, and beam visibility toggle. Preset solutions: Milk (80nm particles, 2.5% concentration), Smoke (30nm particles, 0.8% concentration), Fog (15nm particles, 0.5% concentration), Colloidal Gold (20nm particles, 0.3% concentration), Protein Solution (10nm particles, 1.5% concentration), Salt Water (0.5nm particles, 5.0% concentration as true solution example). Real-time statistics panel displays: scattering intensity I (arbitrary units), wavelength λ (nm), particle size d (nm), concentration C (%), scattering cross section σ (×10⁻²⁶ m²), and scattered color with preview. Formula display shows Rayleigh scattering relationship and live calculation substitution. Solution properties panel shows: solution type classification, particle size range category, beam visibility status (Visible/Not Visible), and scattering type (Rayleigh/Mie/Minimal). Comprehensive educational content covering: What is the Tyndall Effect? (historical context: John Tyndall 1859, light scattering by suspended particles 1-100nm, path visibility through colloids), Rayleigh Scattering theory (I ∝ 1/λ⁴, short wavelengths scatter more, blue ~9x more than red, particle size dependence I ∝ d⁶ for d<λ/10, atmospheric applications: blue sky, red sunsets, white clouds), Colloid vs True Solution comparison (particle size threshold <1nm vs 1-100nm, scattering behavior, laser test practical application, laboratory identification method), Particle Size Effects (Rayleigh regime d<λ/10, Mie transition d≈λ, geometric optics d>λ, DLS characterization techniques), Wavelength Dependence detailed analysis (λ⁻⁴ consequences, 450nm vs 700nm comparison 5.9x ratio, 400nm vs 700nm comparison 9.4x ratio, color scattering explanation), and Factors Affecting Scattering (particle size d⁶, wavelength λ⁻⁴, concentration C, refractive index Δn, incident intensity I₀, path length L). Applications showcase 6 real-world uses: Atmospheric Phenomena (blue sky, red sunsets, fog visibility, air molecule scattering), Laboratory Analysis (colloid identification using laser beams, solution vs colloid testing, slit-lamp biomicroscopy), Medical Diagnosis (eye examination, corneal opacity detection, biological fluid turbidity), Art & Photography (dramatic lighting effects, volumetric lighting, cinematic techniques), Oceanography (light penetration in seawater, marine ecosystem effects), and Industrial Quality Control (emulsion stability monitoring, particle concentration measurement, pharmaceutical manufacturing, food processing). Responsive layout with mode selection panel, main canvas (500px height), statistics panel, solution properties panel, controls grid with sliders and dropdowns, preset solution buttons, wavelength spectrum comparison, and applications grid. Multi-language support (zh, en, es, fr, de, ru, pt) with complete translations of all interface elements, scientific terminology, and educational content. Canvas-based rendering with smooth particle animations, gradient beam effects, realistic scattering patterns, color-coded wavelengths, and interactive parameter adjustment.