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Class10Ok - Read Hecht Chapter 2 Chapter 3 3.1-3.3 Wave...

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Unformatted text preview: Read Hecht, Chapter 2 Chapter 3: 3.1-3.3 Wave Basics Wave Basics: propagation of an oscillation (disturbance), it is periodic in both space and time. The disturbance advances, not the media. It transfers energy from one place to another without any of the particles of the medium being displaced permanently. There is no associated mass transport, instead, any particular point oscillates around a fixed position. Longitudinal wave: direction of oscillation is in the direction of wave motion Transverse wave: direction of oscillation is perpendicular to the direction of wave motion Wavefunction : a function of both space and time, it satisfies the wave equation One-dimensional wave equation: v is the speed of wave Harmonic (sinusoidal) waves: 2 2 2 2 2 v 1 t x ∂ Ψ ∂ = ∂ Ψ ∂ ( 29 [ ] t x k A t x v sin ) , (- = Ψ ( 29 t kx A T t x A t x ϖ λ π- = - = Ψ sin 2 sin ) , ( (1) (2) (3) Wave Basics Wave nature: periodicity in both space and time; for a given time t , Ψ is a periodic function of position x with period of λ ; for given position x , Ψ is a function of time t with period of T . A : amplitude (maximum displacement) k : wave number k = 2 π / λ λ : wavelength (spatial period) T : period (temporal period), T = λ/ v f : frequency, f = 1/T v : phase velocity, v = f λ ϖ : angular temporal frequency, ϖ = 2 π / T = 2 π f t Ψ A Phase and Phase Velocity Phase: the argument of sine function ϕ = kx –...
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This note was uploaded on 10/19/2009 for the course PHY 31 taught by Professor Cebe during the Fall '08 term at Tufts.

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Class10Ok - Read Hecht Chapter 2 Chapter 3 3.1-3.3 Wave...

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