Simple 1D Wave Interference in Processing

animated_wave_1D_interference.java

float amplitude1 = 100; // Amplitude of the first wave
float amplitude2 = 50; // Amplitude of the second wave
float wavelength1 = 200; // Wavelength of the first wave
float wavelength2 = 400; // Wavelength of the second wave
float frequency1 = 2*PI/wavelength1; // Frequency of the first wave
float frequency2 = 2*PI/wavelength2; // Frequency of the second wave
float phase1 = 0; // Phase of the first wave
float phase2 = 0; // Phase of the second wave

void setup() {
  size(800, 400);
  background(255);
}

void draw() {
  float[] y1 = new float[width];
  float[] y2 = new float[width];
  float[] interference = new float[width];
  
  // Calculate the waves at each x value, with time-dependent phase for the second wave
  for (int x = 0; x < width; x++) {
    y1[x] = amplitude1 * sin(frequency1 * x + phase1);
    y2[x] = amplitude2 * sin(frequency2 * x + phase2);
    interference[x] = y1[x] + y2[x];
  }
  
  // Draw the waves and interference
  noFill();
  background(255);
  stroke(255, 0, 0);
  beginShape();
  for (int x = 0; x < width; x++) {
    vertex(x, height/2 + y1[x]);
  }
  endShape();
  
  // Wave 2
  stroke(0, 0, 255);
  beginShape();
  for (int x = 0; x < width; x++) {
    vertex(x, height/2 + y2[x]);
  }
  endShape();
  
  
  // Interference Wave
  stroke(0, 255, 0);
  beginShape();
  for (int x = 0; x < width; x++) {
    vertex(x, height/2 + interference[x]);
  }
  endShape();
  
  // Increment the phase of the second wave over time to animate the interference
  phase2 += 0.01;

}

static_wave_1D_interference.java

float amplitude1 = 100; // Amplitude of the first wave
float amplitude2 = 50; // Amplitude of the second wave
float wavelength1 = 200; // Wavelength of the first wave
float wavelength2 = 400; // Wavelength of the second wave
float frequency1 = 2*PI/wavelength1; // Frequency of the first wave
float frequency2 = 2*PI/wavelength2; // Frequency of the second wave
float phase1 = 0; // Phase of the first wave
float phase2 = PI/2; // Phase of the second wave

void setup() {
  size(800, 400);
  background(255);
  
  float[] y1 = new float[width];
  float[] y2 = new float[width];
  float[] interference = new float[width];
  
  // Calculate the waves at each x value
  for (int x = 0; x < width; x++) {
    y1[x] = amplitude1 * sin(frequency1 * x + phase1);
    y2[x] = amplitude2 * sin(frequency2 * x + phase2);
    interference[x] = y1[x] + y2[x];
  }
  
  // Draw the waves and interference
  noFill();
  stroke(255, 0, 0);
  beginShape();
  for (int x = 0; x < width; x++) {
    vertex(x, height/2 + y1[x]);
  }
  endShape();
  
  stroke(0, 0, 255);
  beginShape();
  for (int x = 0; x < width; x++) {
    vertex(x, height/2 + y2[x]);
  }
  endShape();
  
  stroke(0, 255, 0);
  beginShape();
  for (int x = 0; x < width; x++) {
    vertex(x, height/2 + interference[x]);
  }
  endShape();
 
}

void draw() {
  //Do Nothing
}