Wave Physics PHYS2023
Wave PhysicsPHYS 2023
Tim Freegarde12Wave propagation in changing mediaHuygens constructiongradual change:refractionrefraction; continuity conditionsobstacles:1-D: boundary conditions2/3-D: diffractiontodays lecture:interface between media:233Youngs double slit diffractionx
3344Youngs double slit diffractionx
amplitudeintensity
4455Youngs double slit diffractionx
amplitudeintensity
5566Single slit diffractionx
amplitudeintensity
6677Diffraction grating
x
m=0m=1m=2m=-1m=-27788Diffraction grating
x
place secondary sources along wavefront...and trigger when wavefront arrivesapply to sinusoidal waves by taking into account the phase with which components arrivecombine by adding the amplitudescontributions may therefore interfere constructively or destructivelyINTERFERENCE889Diffraction gratingsnewport.com
diffracted angle
910Grating spectrometer
scope.pari.edu1011Diffraction gratingsnewport.com
diffracted angle
incident angle
1112Phased-array loudspeakersCroke Park, Dublin
duran-audio.com AXYS
incident angle
phase angle
1213Phased-array radar
Fylingdales, Yorkshire2560 transducers, 25m diameter, 420-450 MHz
phase angle
1314Towed array sonartypically 100 hydrophones over 300m
1500 m.s-1 seawater; 1435 m.s-1 freshwaterwww.surtass-lfa-eis.com
phase angle
1415Spatial light modulators1920 x 1200 pixels, LCD technology8.1 m pitch
www.holoeye.com15
16Spatial light modulators1920 x 1200 pixels, LCD technology8.1 m pitchwww.holoeye.com
laser tweezing of 2 m glass spheres in fluidcomputer-controlled hologramwww.physics.gla.ac.uk/opticsprojected and viewed through microscope16Wave PhysicsPHYS 2023
Tim Freegarde1718
Wave PhysicsWAVE EQUATIONS & SINUSOIDAL SOLUTIONSwave equations, derivations and solution
sinusoidal wave motions
complex wave functions
WAVE PROPAGATIONHuygens model of wave propagation
interference
general wave phenomena
Fraunhofer diffraction
longitudinal waves
BEHAVIOUR AT INTERFACEScontinuity conditionsboundary conditions
SUPERPOSITIONSlinearity and superpositions
Fourier series and transforms
FURTHER TOPICSwaves from moving sources
operators for waves and oscillations
waves in three dimensions
http://www.avcanada.ca/albums/displayimage.php?album=topn&cat=3&pos=7further phenomena and implications
1819Wave propagation in changing mediaHuygens constructiongradual change:refractionrefraction; continuity conditionsobstacles:1-D: boundary conditions2/3-D: diffractioninterface between media:place secondary sources along wavefront...and trigger when wavefront arrivesapply to sinusoidal waves by taking into account the phase with which components arrivecombine by adding the amplitudescontributions may therefore interfere constructively or destructivelyINTERFERENCE192020Diffraction grating
x
interference by division of wavefront202021Michelson interferometerinterference by division of amplitudebeamsplitterdetectorsourcex2122Michelson interferometerinterference by division of amplitudebeamsplitterdetectorsourcexx
sodium doubletoptique-ingenieur.orgchemistry.oregonstate.eduFTIR: Fourier transform infrared222323BeatingTWO DIFFERENT FREQUENCIES
23232424Newtons rings
diffuserbeam-splitterlensplate
apply to sinusoidal waves by taking into account the phase with which components arrivecombine by adding the amplitudescontributions may therefore interfere constructively or destructively
www.sciencebuddies.org2424
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