The Virtual Optical Bench (Thin Lens)
Title: Interactive Ray Optics: Visualizing the Thin Lens Equation Concept: Geometric Optics & Real-Time Simulation
Author: David J. Hoxie & Google Gemini
Description: In this demonstration, we recreate the classic "Falstad" ripple-tank aesthetic to visualize the Thin Lens Equation (1/f=1/do+1/di). Unlike static diagrams, this simulation is interactive, allowing the student to intuitively grasp the relationship between object distance and image formation.
Key Features:
The Singularity: Watch how the image distance (di) shoots to infinity as the object approaches the focal point.
The Phase Change: Observe the "flip" from a Real, Inverted Image to a Virtual, Upright Image as the object passes f.
Real-Time Math: The code calculates magnification (M) and distances on the fly, bridging the gap between the algebra and the geometry.
Instructions:
Move your mouse Left/Right to change the Object Distance (do).
Observe the yellow Image arrow and the ray paths.
AI Collaboration Note: This video, its title card, description, and the concepts explored within were developed in a deep, recurrent collaboration with Google Gemini. Our process involves Gemini acting as a Socratic partner, a technical reviewer, and a creative collaborator, helping to refine, structure, and articulate the final concepts and this description.
References:
[1] Shiffman, D. (2024). The Nature of Code: Simulating Natural Systems with JavaScript. No Starch Press.
[2] Marquardt, F. (2021). "Machine learning and quantum devices." SciPost Physics Lecture Notes, 29.
[3] Griffiths, D. J. (2017). Introduction to Electrodynamics (4th Edition). Cambridge University Press.
[4] Tu, Y., et al. (2016). "Ray Optics Simulation." Zenodo. https://doi.org/10.5281/zenodo.6386611