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1. Fundamental Physics of Sound · Concept 2 of 11

Superposition Principle

It is the idea that when two or more sounds meet, they simply add together into one combined sound.

Superposition: waves simply ADD, instant by instant IN PHASE → +6 dB (louder) Wave A + Wave B = SUM 2x 180° OUT → CANCEL (null) Wave A + Wave B (flipped) = SUM flat = silence Two speakers, one note → path timing makes PEAKS & DEAD SPOTS Spk 1 Spk 2 PEAK +6 dB NULL (dead spot) Key numbers c = 343 m/s @ 20°C λ = c / f (1 kHz = 0.343 m) in phase = +6 dB 180° = full cancel

Same note from two sources: line up the peaks for +6 dB, flip one 180 degrees and it cancels to silence, and the room fills with alternating peaks and dead spots.

What it is

When two or more sound waves overlap, the air pressure at each point is just the instant-by-instant sum of all the waves.

Key facts

How it works

  1. Two waves arrive at the same point in the air at the same instant.
  2. At every tick of time, add their pressure values together (positive + positive, or positive + negative).
  3. If their peaks line up, the sum is bigger: reinforcement, up to +6 dB.
  4. If a peak lands on a trough, they subtract: cancellation, down to a null.
  5. The result is ONE combined waveform; the originals pass through unharmed and keep going.
  6. Across a room, path-length differences change the timing per frequency, so peaks and nulls land in different spots.

Real examples

How it helps in live sound

Everyday analogy

Two people throw pebbles in one pond and where the ripples meet the water height simply adds up, taller where crests stack and flat where a crest meets a dip.

Watch out

Myth: a second speaker always makes it louder. Reality: depending on timing/phase it can ADD +6 dB or fully CANCEL to a dead spot.

Fun fact

Two identical 100 dB speakers can sum to a silent null in some seats while hitting 106 dB in others, and not one watt is lost; the energy just relocates around the room.

Key takeaways

  • Sounds add, they never destroy each other; the sum is instantaneous and point-by-point.
  • In-phase = +6 dB louder; 180 degrees out of phase = full cancellation.
  • Phase problems, comb filtering and dead spots are all just superposition in action.
  • Timing (path length, delay, polarity) decides whether waves stack or cancel.
  • Coherent sources add +6 dB; uncorrelated sources add +3 dB.
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