And now, for a light-hearted finish...
Javascript Code
// Title: Double Slit Interference Pattern
// Create a canvas element with a width and height of 512
// Create a 2D context variable named ctx
// Draw the double slit interference pattern
function drawInterferencePattern(d) {
// Clear the canvas
ctx.clearRect(0, 0, 512, 512);
// Set the colors for the interference pattern
const maxIntensity = 255;
const colors = ['#000000']; // Black color for the least intensity
for (let i = 1; i <= maxIntensity; i++) {
}
// Constants for the pattern
const slitDistance = d / 1000; // Convert mm to meters
const wavelength = 0.0000007; // Wavelength of light in meters (700nm)
const screenDistance = 1; // Distance from slits to screen in meters
const slitWidth = 0.0001; // Width of each slit in meters
// Calculate interference pattern
for (let x = 0; x < 512; x++) {
const theta = (x - 512 / 2) * (wavelength / 512);
const beta = (Math.PI * slitWidth * Math.sin(theta)) / wavelength;
const intensity = Math.cos(Math.PI * slitDistance * Math.sin(theta) / wavelength) ** 2 * (Math.sin(beta) / beta) ** 2;
// Map the intensity to colors
const colorIndex = Math.floor(intensity * maxIntensity);
ctx.fillStyle = colors[colorIndex];
// Draw the line at this point
ctx.fillRect(x, 0, 1, 512);
}
}
// Draw the pattern with initial distance
// Explain what happens when we increase the distance between slits
// As the distance 'd' between the slits increases, the fringes (bright and dark bands) on the screen get closer together.
// If the user prompt continued, it might ask about the effects of changing wavelengths or other parameters.
// And now, for a light-hearted finish...
AI
Model: gpt-4-1106-preview
Time: 19 seconds
Prompt Tokens: 481
Completion Tokens: 527
Total Token Cost: 1008
balloon party
beautiful beach
cute puppy dog
happy cat
house