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Physics of the 3D Illusion: Light as a Wave

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<strong>Physics</strong> <strong>of</strong> <strong>the</strong> <strong>3D</strong> <strong>Illusion</strong>:<br />

<strong>Light</strong> <strong>as</strong> a <strong>Wave</strong><br />

Dr Lisa Jardine-Wright,<br />

Cavendish Laboratory


What is a <strong>Wave</strong>?<br />

• A wave is a disturbance which travels<br />

from one place to ano<strong>the</strong>r.<br />

• As it travels, <strong>the</strong> wave transfers energy<br />

from one place to ano<strong>the</strong>r but NOT<br />

material.


Describing <strong>Wave</strong>s<br />

• <strong>Wave</strong>length, λ<br />

o Distance before <strong>the</strong> wave repeats.<br />

o Units are metres, m.<br />

λ<br />

o E.g distance between two peaks or troughs<br />

<strong>of</strong> <strong>the</strong> wave.<br />

λ<br />

λ


Describing <strong>Wave</strong>s<br />

• Frequency, f<br />

–The number <strong>of</strong> whole waves that p<strong>as</strong>s a<br />

fixed point each second.<br />

–Unit is Hertz, Hz.<br />

0.5 Hz


Describing <strong>Wave</strong>s<br />

• Amplitude, a<br />

–Maximum displacement <strong>of</strong> <strong>the</strong> wave.


Describing <strong>Wave</strong>s<br />

• Speed <strong>of</strong> <strong>the</strong> wave, v<br />

o Speed = frequency x wavelength<br />

v=f x λ<br />

• The speed <strong>of</strong> a wave is only altered by<br />

changing <strong>the</strong> medium through which it<br />

travels.<br />

o Speed <strong>of</strong> sound in air = 340 m/s<br />

o Speed <strong>of</strong> sound in water ≈ 1500 m/s


Types <strong>of</strong> <strong>Wave</strong><br />

• Transverse<br />

Direction <strong>of</strong> <strong>the</strong> energy<br />

transfer<br />

• Longitudinal<br />

Direction <strong>of</strong> <strong>the</strong> energy<br />

transfer


Types <strong>of</strong> wave


Examples <strong>of</strong> <strong>Wave</strong>s<br />

• Sound<br />

–Longitudinal<br />

–Mechanical


Examples <strong>of</strong> <strong>Wave</strong>s<br />

• Ripples on a pond<br />

–Transverse<br />

–Mechanical


Examples <strong>of</strong> <strong>Wave</strong>s<br />

• Mechanical waves need a medium to<br />

travel through.<br />

• <strong>Light</strong><br />

o Transverse<br />

o Electromagnetic<br />

o Can travel through a vacuum – How!


Electromagnetic Spectrum: <strong>Light</strong>


Electromagnetic waves<br />

• Visible light is a combination <strong>of</strong> electric<br />

and magnetic field at right angles to<br />

each o<strong>the</strong>r.<br />

o The direction <strong>of</strong> <strong>the</strong> electric field is usually<br />

used to describe <strong>the</strong> wave.


How or Why do we see in 3d?<br />

• Two very slightly different<br />

perspectives.<br />

o Each eye views <strong>the</strong> world from slightly<br />

different positions which gives <strong>the</strong><br />

illusion <strong>of</strong> depth.<br />

o What happens if we can only use one eye?


Convincing <strong>the</strong> Brain<br />

• A 2d image can appear 3d if we<br />

convince <strong>the</strong> brain that each eye is<br />

seeing something slightly different.<br />

• Stereograms...


Using colour filters<br />

• We can make <strong>the</strong> eyes see different<br />

things if each eye can only see one<br />

colour!


Colour filtering?<br />

What does this<br />

say when you look<br />

through <strong>the</strong> red<br />

filter and read?


<strong>3D</strong> & Colour<br />

• What<br />

direction is<br />

<strong>the</strong> dog’s<br />

nose pointing<br />

when you<br />

look through<br />

<strong>the</strong> red<br />

filter?


Using Polarisation<br />

• Instead <strong>of</strong> using colour filters we can<br />

polarise <strong>the</strong> light so that each eye sees<br />

a slightly different image.<br />

• What is polarisation?


Linear Polarisation<br />

Wire grid polariser<br />

Unpolarised light =<br />

many different electric field directions


Linear Polarisation<br />

• A Polaroid polarizing filter is ra<strong>the</strong>r<br />

similar to <strong>the</strong> wire-grid polarizer.


Linear Polarisation by Reflection<br />

• Non-metallic surfaces such <strong>as</strong> <strong>as</strong>phalt<br />

roadways, snowfields and water reflect<br />

light such<br />

that it is<br />

polarised<br />

parallel to<br />

<strong>the</strong> reflecting<br />

surface.


Polarisation in Use


Polarisation in Use


Linear Polarisation by Refraction<br />

• When light<br />

refracts it<br />

will also be<br />

polarised.<br />

• <strong>Light</strong> can be<br />

polarised by<br />

crystals


Circular Polarisation<br />

<strong>Light</strong> travels f<strong>as</strong>ter in this direction


Circular Polarisation


Circular polarisation example


Circular Polarisation & <strong>3D</strong><br />

Right Handed<br />

Left Handed


<strong>Light</strong> & L<strong>as</strong>ers<br />

• <strong>Light</strong> Amplification<br />

by stimulation <strong>of</strong><br />

emission radiation<br />

• L<strong>as</strong>ers are useful<br />

because <strong>the</strong>ir light<br />

is monochromatic &<br />

coherent


Coherent waves<br />

• Coherent waves are<br />

waves that are in<br />

ph<strong>as</strong>e with each o<strong>the</strong>r.<br />

• Ordinary light is not<br />

coherent because it<br />

comes from<br />

independent atoms<br />

which emit on time scales <strong>of</strong> about 10 -8<br />

seconds.


How do l<strong>as</strong>ers work?


How do l<strong>as</strong>ers work?<br />

hyperphysics.phy-<strong>as</strong>tr.gsu.edu


<strong>3D</strong> in Action: Where to go first!<br />

30 th March 31 st March<br />

A<br />

(lecture<br />

<strong>the</strong>atre)<br />

B<br />

(Labs)<br />

• Ely College<br />

• Stephen Perse<br />

• Impington<br />

• Stowmarket<br />

• Great Cornard<br />

• Hartismere<br />

• Wymondham<br />

• Abbey College


2 pm<br />

Programme<br />

Group A<br />

Experimenting<br />

with vision & <strong>3D</strong><br />

(Workshop)<br />

Group B<br />

Uses <strong>of</strong> <strong>Light</strong> in<br />

Bio<strong>Physics</strong><br />

(Talks)<br />

2:45 pm Break<br />

3 pm Break<br />

Experimenting<br />

3:15 pm Uses <strong>of</strong> <strong>Light</strong> in<br />

with vision & <strong>3D</strong><br />

Bio<strong>Physics</strong><br />

(Workshop)<br />

(Talks)<br />

4pm<br />

THE END

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