Properties of traveling waves: Acoustics applications

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Presentation transcript:

Properties of traveling waves: Acoustics applications Physics of Music, Spring 2018

Wave Mechanics: Acoustic Applications traveling wave transverse wave longitudinal wave plane waves circular waves velocity frequency wavelength Law of Reflection parallel walls curved surfaces Diffraction

Law of reflection qi = qr Angles measured with respect to the normal (dashed line perpendicular to the surface) Image sources: http://www.dl.ket.org/physics/companion/thepc/compan/Light/Light-t.htm http://www.worsleyschool.net/science/files/reflectionlaw/page.html

Plane Wave Reflection and Ray Diagrams normal Ray diagram Image source: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/reflec2.html#c1

Hocus Focus! Reflection from concave surface Image source: http://hyperphysics.phy-astr.gsu.edu/hbase/sound/reflec2.html#c1 (left); Berg and Stork, Physics of Sound, 3rd ed. (right)

Applications of Reflection Image source: D. Hall, Musical Acoustics (left)

More reflection applications Disney Concert Hall, Los Angeles

Parallel walls: resonance frequencies 1-D resonance frequencies Vienna Musikverein “shoebox” 3-D resonance frequencies

Diffraction Narrow aperture Wide aperture Tendency for waves to spread out as a result of passing by an edge (barrier or passing through a slit) Wide aperture Image source: http://innovativescience.blogspot.com/2011/02/diffraction.html

Diffraction Patterns Diffraction in ripple tank Diffraction on a MUCH larger scale (Channel Islands, CA) Image sources: (top) http://scripts.mit.edu/~tsg/www/demo.php?letnum=Q%201&show=1 Bottom: http://www.suntrek.org/factary/d.shtml

Diffraction in Action

Huygen’s Principle Wavefront = many wavelets spherically spreading out Plane  circular (diffraction!) Wavefront = many wavelets spherically spreading out Image sources: (left and middle) Berg and Stork, Physics of Sound, 3rd ed. (right) UC Irvine Optics research group.