wave physics phys 2023 tim freegarde 2 spectrum periodic waveform can be expressed as a...
TRANSCRIPT
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- Wave Physics PHYS 2023 Tim Freegarde
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- 2 Spectrum periodic waveform can be expressed as a superposition of harmonics amplitude or intensity commonly represented by spectrum
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- 3 Spectrum periodic waveform can be expressed as a superposition of harmonics commonly represented by spectrum often plotted on log-log or lin-log scales
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- 4 Spectrum periodic waveform can be expressed as a superposition of harmonics commonly represented by spectrum often plotted on log-log or lin-log scales may be plotted with frequency axis upwards...... with marks for integer...... and time on the horizontal axis
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- 5 Boundary conditions for a boundary at : transverse waves on a string: fixed point sound waves in organ pipe:water waves:thermal waves:electromagnetic waves: wall since lagged end conductor open stopped thermal reservoir
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- 6 Open organ pipe first six harmonics lie on major chord J S Bach Toccata & Fugue in D minor BWV565
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- 7 Stopped organ pipe even harmonics are absent register key raises by a twelfth CLARINET:
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- 8 Oboes and saxophones even harmonics are present register key raises by a twelfth CLARINET: register key raises by an octave SAXOPHONE:
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- Wind instruments
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- 10 Spectrum periodic waveform can be expressed as a superposition of harmonics commonly represented by spectrum often plotted on log-log or lin-log scales may be plotted with frequency axis upwards...... with marks for integer...... and time on the horizontal axis
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- 11 Fourier transform Square wave t T/2-T/2 a -a