Chp41_4 - PHY2061 R D Field Representing Waves as Complex Numbers = Aei(kx t Im = Asin(kx-t Crest Im A A = kx t Re t A Phase Wave Function Trough

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
PHY2061 R. D. Field Department of Physics chp41_4.doc University of Florida Re( Ψ ) A Ψ = Ae i(kx- ω t) Im( Ψ ) φ φ = kx- ω ω t t Im( Ψ ) = Asin(kx- ω t) A A Crest Trough A Ψ (0,t) = Ae -i ω t Distance r φ = kr- ω t x = 0 φ =- ω t A x = r Ψ (r,t) = Ae i( kr - ω t) Representing Waves as Complex Numbers We can use complex numbers to represent traveling waves. If we let ) ( t kx i Ae ω = then ) sin( ) Re( t kx A = Ψ is a traveling plane wave with wave number k = 2 π / λ , &angular± frequency ω = 2 π f , and amplitude A . The intensity, I ΨΨ = Ψ = A 2 2 Ψ = A I Phase-Shift Due to a Path Length Difference Consider two traveling wave that are in phase at their source, but wave 1 travels a distance
Background image of page 1
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 05/31/2011 for the course PHY 2061 taught by Professor Fry during the Spring '08 term at University of Florida.

Ask a homework question - tutors are online