Oppositely phased resonators short-circuit each other and prolong sound decay.

Evidence

Three of the four cases mentioned here are illustrated in figure 13.7. Starting with the same pressure in both resonators, there is a resonant addition of amplitudes resulting in louder sound. Since the sound is louder, the energy is drained faster from the resonators (figure 13.7, left). For in-phase oscillation of the resonators, their amplitudes add, giving approximately twice the amplitude far away, and thus instead of twice the power, we get four times the power of a single resonator. This means a doubling of the rate of energy dumping per resonator—that is, exponential decay with an exponent that is twice as large, and a Q half as large (see section 10.3). Indeed, from the figure we see this faster decay and an estimate gives a Q of 9 for the in-phase case as compared to 18 for the single oscillator. — Eric J. Heller, Why You Hear What You Hear- An…, 1233 (#expands, via linked claim)

Categorization

• XREF: connects to: Adjacent compression and rarefaction regions can short-circuit and kill radiated sound; Marimba resonators amplify sound by capturing near-field energy that would otherwise short-circuit; In-phase coupled resonators radiate four times the power of one resonator. — Eric J. Heller, Why You Hear What You Hear- An…, 1233

Related

• In-phase coupled resonators radiate four times the power of one resonator. (similarity 0.90)
• Oppositely phased paired resonators short-circuit radiation and raise Q to 70 (similarity 0.87)
• Marimba resonators amplify sound by capturing near-field energy that would otherwise short-circuit (similarity 0.85)
• Mutual resonance between sources boosts combined power beyond their sum (similarity 0.83)
• Dipole sources amplify through near-field capture, phase shift, and reemission by a resonator (similarity 0.82)
• Resonators amplify sound by capturing near-field energy and reradiating it with a phase shift (similarity 0.81)
• Adjacent compression and rarefaction regions can short-circuit and kill radiated sound (similarity 0.80)
• Resonant power dissipation actually grows when damping decreases (similarity 0.79)
• Adjacent in-phase sound sources compound power as the square of their number (similarity 0.78)
• Over-confining sound in resonators can backfire through internal dissipation. (similarity 0.78)

Broader Connections

• Marimba resonators amplify sound by capturing near-field energy that would otherwise short-circuit #expands (0.85)
• In-phase coupled resonators radiate four times the power of one resonator. #expands (0.80) — Eric J. Heller, Why You Hear What You Hear- An…, 1233