ARI Frequency Plotter Suite

This suite of interactive web pages allows users to visualize, manipulate, and analyze wave patterns generated by the interaction of three custom frequencies. It integrates visual plotting with audio playback, providing a holistic experience for exploring frequency interference and related phenomena.

Pages Overview

1. Frequency Plotter with Amplitude and Phase Shift (Visit page)

• Purpose: This page is designed to study the interference of three frequencies with user-defined amplitudes and phase shifts.
• Features:
  • Input for three frequencies, each with adjustable amplitude and phase shift.
  • Real-time plotting of individual waves and their combined interference patterns.
  • Calculation and display of sound and electromagnetic wavelengths for each frequency.
  • Interactive sliders for time domain adjustments.
  • Option to download the plot as a PDF with detailed annotations.

2. Frequency Interference Plotter (Visit page)

• Purpose: Focused on generating 3D visualizations of interference patterns created by the three frequencies.
• Features:
  • Real-time 3D scatter plots of interference patterns.
  • Export options for Binary STL, STL with modifications, and CSV files.
  • Visualization of Lissajous-like figures, allowing exploration of the spatial relationship between waves.

3. 3D Wave Surface Plotter (Visit page)

• Purpose: Provides a combined 3D wave surface and 2D projection visualization.
• Features:
  • Toggle between 3D surface view, 2D projection, or both.
  • Supports real-time updates for frequencies and time domain parameters.
  • Wavelength calculations displayed dynamically for sound and electromagnetic waves.

4. Basic Frequency Plotter (Visit page)

• Purpose: A simpler variant focusing on amplitude visualization without phase shift.
• Features:
  • Input for three frequencies and their amplitudes.
  • Visual representation of individual and combined waves.
  • Basic interference pattern exploration.

5. Frequency Plotter with Advanced 3D Features (Visit page)

• Purpose: An advanced version combining phase shift analysis with detailed 3D interference plotting.
• Features:
  • Input and display for phase shifts alongside frequency and amplitude.
  • Visualization of the combined wave's sound and EM wavelengths.
  • PDF export functionality for sharing and documentation.

6. EM Wave Visualizer (Visit page)

EM Wave Visualizer BETA (Visit page)

Exploring Electromagnetic Waves (Visit page)

• Purpose: A comprehensive tool for visualizing electromagnetic waves and their time-domain behavior in 3D.
• Features:
  • Adjustable inputs for three frequencies, phase shifts, and amplitudes.
  • Real-time display of resulting wave properties, including frequency, wavelength, and amplitude.

Supporting Features

• Audio Playback: Each page supports toggling individual or combined wave sounds, controlled dynamically via amplitude sliders.
• 3D Plotting and Interactivity: Built with Plotly.js, offering vibrant 3D interference patterns and adjustable views.
• Export and Sharing:
  • Generate shareable links tailored to current inputs.
  • Export plots as STL files or CSV datasets.
  • Download annotated PDF summaries.

This suite is ideal for educators, researchers, and hobbyists, providing an engaging platform to explore complex wave interactions in sound engineering, physics, and signal processing. Each page offers unique functionality while maintaining a cohesive aesthetic and responsive design.

Examples | Exploring Electromagnetic Waves

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