Physics Light and Geometric Optics What is Light? • If you had an alien friend come visit you on Earth, how would you describe light? Explain light? What is light?! What is Light? • Light is a form of energy that is visible to the human eye. It can be described: i) As electromagnetic waves ii) As particles of light called photons Light is a wave that travels in a straight line… Draw how light travels: We only see objects if light reflects off of it. We can only see the light if there are dust or smoke particles in the air. (i.e. laser show) We see the absence of light as shadows. SAY WHAT?! Rectilinear Propagation SAY THAT AGAIN?! Rectilinear Propagation • Why do shadows form? • Shadow simulator • Why do eclipses occur? • Both of these phenomena are a result of rectilinear propagation... The simple fact that light must always travel in straight lines. Shadows and Eclipses • Solar eclipses occur when the moon comes directly between the sun and the Earth. • The region of the umbra (the darkest shadow) is left in total darkness. Light Waves • Light waves contain both electric and magnetic fields • Because light has both electric and magnetic fields, it is also referred to as electromagnetic radiation Through space! What does it Travel through? Light = energy = waves = light waves Light = Electric=& magnetic waves = Electromagnetic waves Electromagnetic radiation Properties of Waves • Crest: highest point on a wave • Trough: lowest point on a wave • Rest Position: level that there are no waves • Amplitude: height from the rest position to the highest point on a crest or lowest point on a trough. • Wavelength ( λ - lambda): distance from one place in a wave to the next similar. Ex: Distance from crest to crest. • Frequency( ƒ ): the rate of repetition of a wave; measured in hertz (Hz) = cycles per second. Ex: 3 cycles / second • Cycle: one full wavelength represents one complete cycle Draw the wave and label • • • • • Crest? Trough? Wavelength? Amplitude? Rest Position? Understanding the Electromagnetic Spectrum Imagine bouncing a ball in a box… Describe and draw the following if • A ball is thrown hard • A ball is thrown softy 1. Energy: 2. Frequency: 3. : Understanding the Electromagnetic Spectrum Which wave has more energy? Electromagnetic Waves From the Sun 1. 2. 3. 4. 5. Which can we see? Infrared (heat) Which can we feel? Visible Light (ROYGBIV) Which is invisible to us? Ultraviolet (UV) Which colours have the least energy? The most energy? Which is dangerous? Electromagnetic Waves From the Sun • UVA and UVB rays can penetrate skin (short Best ways to avoid skinour cancer: energy) 1. Stay out ofwaves, the sun/high tanning beds 2. Block UVA/UVB 3.• UVC No smoking rays are absorbed by # way of getting tanning the wrinkles= atmosphere before they reach the ground (waves even shorter, higher energy) • Summer Months - UV is highest • Midday - UV highest at 10 AM and 4 PM • Snow, Sand and Water - Components of Visible Light ROYGBIV • Wavelengths of the light we can see is =10-6 m (400-700 billionths of a meter) • “Visible light” is made up of ROYGBIV – colours of the rainbow • Visible white light is filled with colour! Colours and Visible Light • Visible light waves have different sizes • The varying wavelength’s (’s) gives us ROYGBIV • Which colours have the least energy? The most energy? Penetrate human tissue The Electromagnetic Heat that we but not bones. feel! Used for medical imaging, Spectrum Used in burglar airport security and for Carry information with different combinations of amplitude, frequency and wavelength (AM radio, FM radio) TV, cell phones, satellites, Electrobroadban internet, MRI magnetic scans Radiation alarms, motion sensors, night vision goggles. photo’s of the insides of pipes, engines and other machines. Use to heat food by Produced by neutron Has been used to making water particles stars and black holes in disinfect drinking in food vibrate. galaxies. water, waste Radar – uses Can penetrate tissues. water, and in DNA microwaves to measure Used to sterilize medical analysis. speeds equipment, to kill RADARSAT – maps cancerous cells. Earth’s surface radar. are organized & classified in this • All forms ofbyenergy spectrum by their size of wavelength ~ width of the wave Longest – Radio waves Shortest – Gamma Rays • Where is light in the spectrum? Various Types of Light Emissions 1) Luminescence is light produced using energy sources including or excluding heat; can occur cooler temperatures a) b) Electrons of atoms become excited & unstable when it absorbs energy The electron will return to normal when it releases this “extra” energy as light (photon). 2) Chemiluminescence • Light energy released from a chemical reaction without the involvement of heat or a flame (a cold system) • Ex: Glow-sticks, bioluminescence, luminol (a chemical used in crime scenes – it glows when it reacts with iron in blood.) 3) Bioluminescence • Light is released by a chemical reaction; occurs naturally in plants or animals. • 90% of sea creatures are bioluminescent. • Some fish produce their own light others have bacteria do it. • Deep sea creatures make their own light to • • • • Find prey, attract predators (black sea dragon, angler fish) Scare predators Attract mates Camouflage • Fireflies – attract mates by flashing lights in specific patterns • Others – Algae, crustaceans, earthworms, fungi 4) Incandescence • Light energy produced by heated objects substance becomes hot and glows Ex: incandescence light bulbs – filament inside that heats up when current flows through it and emits light energy. • Only 5% of energy is converted to light • 95% is released as heat 5) Fluorescence • A light emitted by substances when they are exposed to EM radiation Fluorescent light bulb • a glass bulb filled with gas (mercury vapour). The gas particles get energized when electricity flows through. • Inside of bulb is coated with white powder called a phosphor • Phosphor – glows when exposed to energized particles. • 80% of energy is converted to heat, 20% to light • Contains more toxins then incandescent bulbs and require careful cleanup if broken Other fluorescence – some rocks 6) Phosphorescence • The ability to store energy from a light source, and then emit it slowly over a long period of time. Ex: Glow in the Dark material • The energy gets used up but can be reenergized by further exposure to a light source. Ex: Painted with phosphorescent ink 7) Triboluminescence • Light produced by friction • Eating lifesavers in the dark (crushing wintergreen candy) • Breaking apart sugar crystals • Rubbing a diamond 8) Electric Discharge • When an electric current passes through gases, light is often produced • Ex: Lightning, lamps 9) Light-Emitting Diode LED • Electroluminescence – solid device that transforms electric energy directly into light energy • LED’s • Made out of a semi-conductor – material that emits light when a small amount of current passes through it. • Use small amounts of electricity • Last longer then other bulbs • Light up much faster • Used for, traffic lights, bilboards, x-mass lights, handheld displays, brake lights 10) OLED, Plasma, Liquid Crystal OLED – Organic light-emitting display • Light source made of thin layers of organic molecules that use electric current to produce light • Use less energy, thinner, lighter, brighter, flexible • Can be rolled, embedded into clothes • Expensive to produce, can be damaged by water Plasma Displays • Each colour is a tiny fluorescent light, different phosphors used to make red, green, blue light. • Brighter images then LCD, more energy to operate Liquid Crystal Displays - LCD • A solid that can change the orientation of its molecules like a liquid when electricity is applied • Laptops, digital watches, cell-phones, iPods use LCD’s Where does Light Come From? • Comes from an energy source… • Light can move through a Vacuum, & through different mediums Which comes first, lightning or thunder? • How fast does light travel? • Speed of Light = 299 792 458 m / s • For simplicity, we will use: Speed of light = 3.0 x 108 m/s Sound is a wave too! Speed of Sound= 340 m/s Sound moves slower than light! • Light moves 300 000 000 meters every second in a vacuum How Does the Ball Behave? How would the ball Imagine behave…? throwing a ball through the air… Imagine throwing a ball at a brick wall… Imagine throwing a ball under water… How does Light Behave? The ball & light behave similarily: • Light travels the fastest when… There’s no matter…vacuum • Light travels at differing speeds when… It passes through matter…different mediums… REFRACTION (light bending) • Light bounces back when… It cannot penetrate a surface REFLECTION (light scattering) When light hits an object, it can be… 1. Transmitted- pass through the object Rays – represent light as a straight line 2. Refracted- light bends as it is absorbed by the object 3. Reflected- light is scattered away from the object Material classification by how they transmit light Transparent •Transmit light freely •Can see through it clearly Translucent •Transmit some light • but not enough to see through clearly Opaque •Absorb and reflect light but do not transmit it Law of Reflection • Reflection from a plane mirror: Normal Incident ray Angle of incidence (θ i) Angle of reflection (θ r) Reflected ray Mirror Mirror “Normal line” is perpendicular (90) to the surface The Law of Reflection Angle of incidence (θ i ) = Angle of reflection (θ r ) In other words, light gets reflected from a surface at ____ _____ angle it hits it. The same !!! Greek letter, theta (θ). Common symbol for angle. Angle (θ) is measured FROM the NORMAL to the ray Ray Diagrams • Ray Model of Light Allows us to trace the path that light travels • Why? So we can predict the location of the reflected image of an object • Note: The rays (incident ray and the reflected ray) are drawn as straight arrows Clear vs. Diffuse Reflection • Smooth, shiny surfaces have a clear or regular reflection. Rough, uneven surfaces have a diffuse reflection. Diffuse reflection is when light is scattered in different directions Seeing Reflected ImagesRay Diagrams “Plane mirrors produce upright virtual images with lateral inversion” 1. Draw a solid line perpendicular from the object to the mirror. 2. Extend the line (dashed) an equal distance behind the mirror Seeing Reflected ImagesRay Diagrams “Plane mirrors produce upright virtual images with lateral inversion” Why virtual? 1. Draw a solid line perpendicular from the object to the mirror. 2. Extend the line (dashed) an equal distance behind the mirror Seeing Reflected ImagesRay Diagrams “Plane mirrors produce upright virtual images with lateral inversion” 3. Draw a normal halfway between the object and eye. Seeing Reflected ImagesRay Diagrams “Plane mirrors produce upright virtual images with lateral inversion” 4. Draw solid rays from the object, reflecting on the mirror and to the eye. θi= θr Seeing Reflected ImagesRay Diagrams “Plane mirrors produce upright virtual images with lateral inversion” 5. Extend the reflected line (dashed) backwards behind the mirror until it hits the other line. 6. Repeat for all other distinctive parts of the object. Seeing Reflected ImagesRay Diagrams Now YOU try! Image Characteristics S (size)- same, smaller, or larger A (attitude)- same, right side up Inverted (upsided down) L (location)- same, above, or below T (type)- real or virtual Using mirrors • Two examples: 2) A car headlight 1) A periscope Ray Diagrams Continued…. What if the 1. Concave Mirrors (converging) - collects light rays & brings them to a single point. - Produces larger images 2) Convex Mirrors (diverging) - designed to spread light rays out - Produce smaller images Which is Concave? Convex? mirror is curved? Applications to Concave Mirrors Concave Mirrors - used in flashlights, telescopes, cosmetic mirrors, headlights of a car, dentist lights - concentrates light to one particular spot. Applications for Convex Mirrors Convex Mirrors: - used in security mirrors at variety stores, side-view and rear view mirrors in a car - Allows you to view a larger region from one location Terminology for Curved Mirrors We will first use a Concave Mirror to label these terms.. • Vertex – midpoint of the curved mirror • Principal Axis – a straight line that passes through the vertex (symmetrical & perpendicular) • Center of Curvature (C) – think of it as the center of a circle; it lies on the principal axis • Radius of Curvature (R) – distance from the vertex to the center of curvature Terminology for Curved Mirrors From the focal point to the vertex has a length of… f . What is the length from C to the vertex? • Focus or Focal Point (F ) – the half way point from the center of curvature (C ) to the vertex; this is where reflected rays* pass through and converge *Reflected rays pass the focal point when incident rays are parallel to the principal axis • Focal length (f ) – the distance from the vertex to the focus or focal point (F ) Diagram for Curved Mirrors • We applied the new terminology for a Concave Mirror. • Now, YOU try labelling the terms for a Convex Mirror! Which way is convex?! • Remember : * Principal Axis (PA) * Vertex * Center of Curvature (C) * Radius of Curvature (R) * Focus or Focal Point (F) * Focal Length (f ) Ray Diagrams for Concave Mirrors Depending on where the object is located on the principal axis, ray diagrams are used to determine… S A L T • S = the SIZE of the Reflected Image (smaller, larger, or the same as the object) • A = the ATTITUDE of the RI (right-side up or upside down • L = the LOCATION of the reflected image (RI) • T = the TYPE (real or virtual) We will look at 5 cases… Drawing Ray Diagrams for Concaved Mirrors • 1st incident ray is drawn parallel to the principal axis, starting from the top of the object to the mirror (blue). • Can you predict and draw the reflected ray (red)? • 2nd incident ray is drawn from the top of the object through the focal point to the mirror (blue) • Predict and draw the reflected ray (red). • The image is formed where the rays intersect. This intersection point on the image is the same point that was on the object. Image Characteristics 1. Object is Located S- Center of Curvature Beyond the Any Incident Rays Rays Any Incident • 1st incident ray parallel is drawn parallel travelling to thetheto passing through the principal axis, starting from principal axis will reflect FOCAL POINT will the •A- top ofand the pass object to the through the (blue). reflect andmirror travel focal point parallel thethe principal • Can you predict and to draw reflected rayaxis (red)? • 2nd incident ray is drawn from the •L- top of the object through the focal point to the mirror (blue) • Predict and draw the reflected ray (red). General Conclusion ••T- The image is formed where the rays An object located beyond the Center intersect. This intersection point on of Curvature will reflect an image that is: the image is the same point that was on the object. • located between C and F • Is real, smaller and upside down 2. Object is Located at the Center of Curvature Image Characteristics SSame as previous slide… • 1st incident ray travels parallel to Aprincipal axis from the top of object towards the mirror (blue) • Predict & Draw reflected ray (red) • 2nd incident ray travels from the top L-of the object through the focal point General Conclusion An object located at the Center of to the mirror (blue) Curvature will reflect an image that is: • Predict & Draw reflected ray (red). • The imageWhat is formed where the rays do you T-intersect. • Also located at C notice about the image? • Is real, same size and upside down 3. Object is Located Image Characteristics Between the Center of Curvature and Focal Point S- Same as previous slide… • 1st incident ray travels parallel to A- principal axis from the top of object towards the mirror (blue) • Predict & Draw reflected ray (red) • 2nd incident ray travels from the top of to L- the object through the focal point General Conclusion the mirror (blue) Anray object • Predict & Draw reflected (red). located between the Center of Curvature • The image is formed where the rays and the Focal Point will reflect an image that is: intersect. T- • located beyond C Is real, larger size and upside down Image Characteristics 4. Object is Located S- Between the Focal Point and Mirror Same as previous slides… • The 1st ray is drawn parallel to A- the principal axis from the top of the object to the mirror (red) • Can you predict and draw the reflected ray? • The 2nd ray is drawn from the top of the object through the focal L- point to the mirror (blue) General Conclusion • Predict and draw the reflected ray. An object that is located between the • The image is formed where the Focal point and the mirror will reflect rays intersect. This point on the Timage is the same point that was an image that is: on the object • located behind the mirror • Is right side up, larger and is virtual 5. Image Is Located at the Focal Point • 1st incident ray travels parallel to principal axis from the top of object towards the mirror (blue) • Predict & Draw reflected ray (red) • 2nd incident ray travels from the top of the object through the focal point to the mirror (blue) • Predict & Draw reflected ray (red). • What do you notice…? No SALT Ray Diagrams for Convex Mirrors What does a Convex Mirror look like again ? - Surface curving outwards Unlike the concave mirror with 5 different cases, the convex mirror has only one case. SALT is still used to determine the image’s characteristics: The object’s distance to the mirror doesn’t change the image’s SALT S- image is smaller than the object A- image is in the upright position L- image is located behind the convex mirror T- virtual image Calculations for Curved Mirrors & Thin Lenses To calculate object or image dimensions mathematically we use: Thin Lens Equation (Gaussian Lens Formula) 1 1 1 f do di m Magnification Equation -Measure of how much Larger or smaller the object hi d i ho do M>1 or < -1 () 1 > M > -1 () hi di m ho do Ex 1: Find the image position and magnification for a convex mirror with a focal length 20cm, with a candle 5.0cm away from the vertex. Ex 2: A diverging lens of focal length 200cm is used to correct a person’s nearsightedness. Find the image position of an object 3.00m away. What type of mirrors? Negatives: (same for mirrors and lenses) Focal point -f -‘ve diverging mirror/lens Magnification -m -‘ve inverted image Image Distance -di -‘ve virtual image (in front of lens of behind mirror) Light Refraction • What happens when light rays do NOT reflect? • In a vacuum, light travels in a straight line … However, if light rays encounter a medium (matter), such as water, then what happens?…. • • • Light bends as it passes through water! The straight-line path of light CHANGES! Light Refraction • LR are light rays bending when it passes through different mediums (light changes its speed, either slowing down or speeding up Ex: light passes from air to water & vice versa • The more the light ray slows down, the more the light is refracted (bends more). • Light only refracts at the boundary of the two different mediums Index of Refraction • I of R is a number, a value given to a medium… - The amount by which a medium decreases the speed of light is indicated by this value I of R • The larger the I of R for that medium, the more it decreases the speed of light. Ex: Diamonds slow down (bend) light more than water, thus diamonds have a greater index of refraction than water • Certain materials bend light in similar ways…thus they have similar indexes of refraction Refracted Index • Light travelling in a vacuum – Refracted Index is 1.00 • Light travelling in air – RI is 1.0003 ~ 1.00 • Light travelling in water – RI is 1.33 c 3.0 108 m / s How are these values obtained? - Index of Refraction of Material is found by comparing speeds of light in their respective mediums Refracted Index (n ) = speed of light in vacuum (c ) speed of light in medium (v ) c n v RI and θ of Refraction Snell’s Law • Angle of Refraction: amount of light bending • Snell’s Law: When light travels from air (low RI) into water (higher RI), it bends TOWARDS the normal, θi > θr • (speed ) RI = θ Refraction (closer to normal) • When light travels from water (denser, higher RI) into air (less dense, lower RI), refracted ray bends AWAY from the normal (speed ) - The more the medium slows down the light, the greater the difference between θ i and θ r Total Internal Reflection (TIR) = Trapped Light • LR is light bending when traveling through different mediums… • As the angle of θi increases to the normal, θr increases too. • At a certain angle critical angle ( θc ), refracted rays will not leave the medium; instead travel along the boundary line. • Increase θi even more & the ray will no longer refract, but only reflect rays. (trapped within the medium) • TIR – when θi > θc, light rays no longer refract, but reflect and stays within the medium Dispersion • • • Special type of refraction in diamonds, rain drops, and prisms They can be colorless or show all the colours of the rainbow…dispersion is when the refraction of white light is separated into its colours Each colour travels a slightly different speed when it goes through the glass prism. Violet light slows down more then red. Ex. Rainbow: light passes through rain drops and some light is reflected BUT some light is refracted as well Light is refracted twice, when light enters and when light leaves….both separate light into its colours The Physics of Bling 1. The index of refraction of a diamond is 2.4 • One of the highest for a clear substance • Explains why diamonds are bling 2. The angle of incidence of diamonds should be 24.5…making it glitter Optical Illusions: Both Reflection and/or Refraction 1. Desert Mirages • • • An image of a distant object produced as light refracts through air of different densities Light is internally reflected and refracted as it passes through the progressively hot air lying near the ground, light is totally internally reflected There appears to be a lake in the distance, but this is actually the image of the sky produced by light bending near the hot air near the ground… 2. End of the Rainbow • Location of rainbows are relative to YOU, the SUN, and the RAIN Optical Illusions: Both Reflection and/or Refraction 3. Shimmering • • • • • The shimmering image of the moon on a lake at night. Light is refracted when passing through air of different temperatures. Air above the lake is much warmer. Light travels through cooler air slowly and bends toward normal. Continues through warmer layer bending further from the normal. Eventually TIR occurs and multiple virtual images of the moon on the lake result. 4. Apparent Depth • • The depth that an object appears to be due to the refraction of light in a transparent medium. The object under water always appears to be nearer to the surface then it actually is. Optical Illusions: Both Reflection and/or Refraction 5. The “Flattened” Sun • Sun appears flattened during sunrise and sunset? • This is due to the common phenomenon of atmospheric refraction. Applications of TIR • Fiber Optics: Light travels in a straight line, BUT what if you want light to bend? Optical fibre: thin transparent glass tube that transmit light around corners…the light does not escape because of TIR Fiber Optics are used to transmit telephone and internet communications A optical fibre cable is made of 1000’s of optical fibres packed together Lenses Types of Lenses There are two types of lenses: 1. Converging (Convex) 1. Diverging (Concave) Converging Lenses • …have a positive focal length (f>0) • Cause rays to intersect at the focal point • Used for magnifying glasses, microscopes, telescopes and reading glasses… REAL IMAGE (if on the same side as the viewer)…3 out of 5 Diverging Lenses •…have a negative focal length (f<0) •Cause rays to spread out as if they came from a focal point…IMAGE is on same side as object… VIRTUAL IMAGE (always) •Used for distance glasses. Lens Terminology Optical Centre, O Focal length, f Principal Axis 2F’ Focal point, F’ F’= secondary focus F’ is on the opposite side for diverging lenses Focal point, F 2F Ray Rules– Converging Lens If the incident ray… then the refracted ray… is parallel to the principal axis, Goes through F comes through the Emerges focus, parallel to the principal axis comes through the Is not refracted. optical centre, Diagram Forming an Image • Draw a ray from the object to the lens (use one of the special rays described). • From the same position on the object, draw another special ray. • The image is located where the refracted rays meet. Converging Lens- 5 Cases 1. Beyond 2F’ 2. Object at 2F’ Converging Lens- 5 Cases 3. Between 2F’ and F’ 4. At F’ Converging Lens- 5 Cases Between F’ and O Example • Find the image for the following case: Five Case Scenarios for Converging Lenses Object Position Location Image Attitude Size Type Beyond 2f’ Between f and 2f inverted smaller real At 2f’ At 2f inverted same size real Between f’ and 2f’ Beyond 2f inverted larger real At F’ Between F’ Behind object and O No Image Formed upright larger virtual Ray Rules– Diverging Lens If the incident ray… then the refracted ray… is parallel to the principal axis, Emerges as if it came from F. Is aimed at the focal point prime, Emerges parallel to the principal axis comes through the optical centre, Is not refracted. Diagram One Case Scenario for Diverging Lenses • With a diverging lens, the image is always: • • • • Between F and O Upright Smaller Virtual The Eye • What is the function of? • Cornea • Aqueous and vitreous humour • Lens • Ciliary muscle • Retina • Choroid What parts of • Sclera the eye are • Optic nerve directly • blind spot related to the • Fovea unit? • Iris Vision Conditions Normal Vision: focus point is at the back of the retina Myopia (near-sightedness): distant objects are blurry, 1/3 of people, longer eye ball Hyperopia (far- sightedness) close objects are blurry, shorter eye ball or flat cornea Eye ConditionsS ummary Vision Conditions Presbyopia: loss of flexibility of eye’s natural lens ~40 years, need bifocals or reading glasses Astigmatism: eye has 2 focal points instead of 1 Application of Optics Telescopes Amateur astronomers use reflecting and refracting telescopes • A reflecting telescope uses mirrors to focus light from a distant object…how? • A refracting telescope uses a lens…how? How does “focusing” work? Unit Review • Go back over all worksheets • Practice ray diagrams for Plane and curved mirrors, and lenses • Practice magnification problems for mirrors and lenses • Make unit study notes