01 · Optical Setup
02 · Intensity Profile I(y)
03 · Phasor Diagram
Constructive Interference
Bright fringes occur when path difference equals an integer multiple of wavelength — waves arrive in phase.
Δ = d·sinθ = nλ
y_n = nλD/d
y_n = nλD/d
Destructive Interference
Dark fringes occur when path difference is a half-integer multiple of λ — waves cancel exactly.
Δ = (2n+1)λ/2
y_n = (2n+1)λD/2d
y_n = (2n+1)λD/2d
Diffraction Envelope
Single-slit diffraction modulates the double-slit pattern, zeroing intensity where sinc²(πay/λD) = 0.
I = I₀·sinc²(β/2)
·cos²(δ/2)
·cos²(δ/2)