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Figure 16.6.5: Destructive interference of two identical waves, one with a phase shift of 180° (π rad), produces zero amplitude, or complete cancellation. When linear waves interfere, the resultant wave is just the algebraic sum of the individual waves as stated in the principle of superposition.
- 3.3: Mathematics
Determine the angles for bright and dark fringes for double...
- 3.3: Mathematics
In order to form an interference pattern, the incident light must satisfy two conditions: (i) The light sources must be coherent. This means that the plane waves from the sources must maintain a constant phase relation. For example, if two waves are completely out of phase with φ=π, this phase difference must not change with time.
Determine the angles for bright and dark fringes for double slit interference. Calculate the positions of bright fringes on a screen. Figure 3.3.1a shows how to determine the path length difference Δl for waves traveling from two slits to a common point on a screen.
Wave Interference. In this simulation, make waves with a dripping faucet, an audio speaker, or a laser by switching between the water, sound, and light tabs. Contrast and compare how the different types of waves behave. Try rotating the view from top to side to make observations.
Waves that obey the superposition principle are linear waves; waves that do not obey the superposition principle are said to be nonlinear waves. In this chapter, we deal with linear waves, in particular, sinusoidal waves.
This simulation demonstrates most of the wave phenomena discussed in this section. First, observe interference between two sources of electromagnetic radiation without adding slits. See how water waves, sound, and light all show interference patterns. Stay with light waves and use only one source.
In this chapter, we show how the phenomena of interference and diffraction arise from the physics of the forced oscillation problem and the mathematics of Fourier transformation. We begin by discussing interference from a double slit. This is the classic example of interference.
