Perceptual Optics for Prisms and Lenses (for vision therapists)

Size: px
Start display at page:

Download "Perceptual Optics for Prisms and Lenses (for vision therapists)"

Transcription

1 Perceptual Optics for Prisms and Lenses (for vision therapists) Goal of lecture: Understand optical characteristics in order to improve the uses of lenses and prisms in optometric vision therapy. Kellye Knueppel, OD, FCOVD Great Lakes Congress Light Transformers Lenses and prisms are light transformers. While you can calculate how they transform light, you can not predict human awareness or behavioral changes because of the transformation. What do lenses and prisms do? It is more appropriate to ask, What do patients do in response to lenses? John Streff, OD, DOS, FCOVD, FAAO 3 4 Lens transformations in two directions Towards the person Away from the person Simplified Way to Think About Optometric Vision Therapy The patient is looking in the wrong place in space. Optometric Vision Therapy helps them learn how to look in the right place. Visual Motor is a key to making the change. 5 1

2 Where is the image? Concave Lens Thin Lens Equation: 1/d i + 1/d o = 1/f d i = distance from lens to image d o = distance from lens to object f = focal distance of lens 7 8 Concave Lens (MINUS) Optics: Real Object anywhere in space always creates a Virtual Image closer to the lens and smaller. (Small In) We can calculate the location of the virtual image if we know the lens power and the distance the object is from the lens. MINUS Lenses in VT Accommodation Accommodative Rock (Monocular & Binocular) Red Rock (Biocular) Mental Minus Space Perception Window Rock Minus Lens for Localization and SILO Aniso Lenses 9 10 Convex Lenses (PLUS): Two Situations PLUS (Convex) Lens 1 (Object between Focal Point and Lens)

3 We need to know the Focal Distance of the Lens Equation: 1/Lens Power = Focal Distance (in meters) Examples: 1.00 D Lens 1/1D = 1 meter = 100 centimeters 2.00 D Lens 1/2D = 0.5 meters = 50 centimeters 3.00 D Lens 1/3D = 0.33 meters = 33 centimeters 4.00 D Lens 1/4D = 0.25 meters = 25 centimeters Go back to MINUS Lenses Where is the image? Looking at an object across the room the image will be approximately at the focal distance of the lens. Examples: D Lens: 1/4 =.25 meters = 25 centimeters D Lens: 1/6 =.17 meters = 17 centimeters Therapy Procedures Minus Lens for Localization and SILO Mental Minus Accommodative Rock PLUS (Convex) Lenses: Two Situations PLUS (Convex) Lens 1 (Object between Focal Point and Lens) PLUS (Convex) Lens (Object between Focal Point and Lens) PLUS (Convex) Lens 2 (Object Beyond Focal Distance of Lens) Optics: Real Object between the focal point and the lens creates a Virtual Image farther away and larger. (Large Out)

4 PLUS (Convex) Lens 2 (Object Beyond Focal Distance of Lens) Optics: Real Object beyond the focal distance of the lens creates a Real Image on the opposite side of the lens. In this case the calculated location in space of the real image ends up in the person s eye/head or often quite a distance behind the person. Looks blurry! And it s upside down. Keep in mind that if the lens is held directly in front of the eye (like glasses), the optics of the eye would also have an effect on the final calculated distance of the image. Hyperopes (+ lens prescriptions) may still be able to see the image. PLUS (Convex) Lenses: Two Situations PLUS Lens Situation 1: Object is between the focal distance and the person. Image is farther away from them and bigger. PLUS Lens Situation 2: Object is farther away than the focal distance. Image is behind the person and upside down PLUS (Convex) Lenses in VT Accommodation Accommodative Rock (Monocular & Binocular) Red Rock (Biocular) Space Perception Window Rock Aniso Lenses Web Sites with Interactive Lens Models This is fun to play with and maybe can help you: Interactives/Refraction-and-Lenses/Optics- Bench/Optics-Bench-Refraction-Interactive Quick Review of Thin Lens Optics Concave Lenses (Minus) Image always CLOSER and SMALLER Convex Lenses (Plus) Object between eye and Focal Distance Image always FURTHER and LARGER Object beyond Focal Distance Image BEHIND patient Optics of Prism Image displacement 1 prism diopter = 1 cm at 1 meter Three dimensional perceptual effects Predictable based on optics See next slide

5 Prisms cause: Shift the main optical effect of prisms Slant extended surfaces may appear rotated. Curvature extended surfaces may appear curved R. Jones, OD, PhD How far does the image shift? Looking at an object 1 meter away, the image shifts 1 centimeter for each prism diopter 1 Prism Diopter (PD) = 1 cm 2 Prism Diopters = 2 cm 10 Prism Diopters = 10 cm The image will move farther if the object is farther away. Multiply by the distance. 1 PD at 5 meters = 1 cm x 5 = 5 cm 10 PD at 5 meters = 10 cm x 5 = 50 cm Is the shift toward the apex side or the base side? Prism VT Activity Prism Jumps How does this apply to vergences and vectograms? Prism Image Formation

6 Optics: 3D spatial perception (Slant!) The ophthalmic optics of prisms is characterized by having a non-uniform deviation of light rays. We cannot fully understand the optics of prisms if we limit our concept of changes to a flat plane. Prisms produce a gradient of simultaneous magnification and minification. Ron Jones, OD, PhD Spatial Distortions of Prisms: Slant 1. Asymmetric magnification Effect is equivalent to an induced slant Only apparent with an extended surface. R. Jones, OD, PhD Linear perspective Based on the relationship between angular size and distance. 33 Optics: 3D spatial perception (Slant!) Prisms change the direction of light AND rotate spatial aspects of the visual field BASE: As if things moved FARTHER away 2D grid lines appear closer together Sometimes described as minification. APEX: As if things moved CLOSER 2D grid lines appear farther apart Sometimes described as magnification. 34 Curvature with Prisms Reminder: Optics of Prism Curvature of lines perpendicular to base-apex. R Jones, OD, PhD image object L R Base-in convex R L Base-out concave Shift Slant Prism Base: As if things moved FARTHER away Prism Apex: As if things moved CLOSER Curvature of field

7 Primary Effects of Prism Prescriptions YOKED PRISMS (Bases up, down, left, right) Cause shift and slant OPPOSING BASE PRISMS (Base Out, Base In) Cause distortions of space, distance, size Prisms in VT Prism Jumps Doubling Activities Vergence Activities Yoked Prism Activities Question: In each of these activities, are we primarily concerned with Shift or Slant or both? Take Home Message: Lenses MINUS Lenses Image always CLOSER and SMALLER PLUS Lenses Situation 1 : Object between eye and Focal Distance Image always FURTHER and LARGER Situation 2: Object beyond Focal Distance Image BEHIND patient and upside down Prisms Cause shift in direction of apex Cause slant expands away on base side. Looks smaller because it s farther away Curvature of field 39 7

Functional Characteristics of Lenses

Functional Characteristics of Lenses Functional Characteristics of Lenses Kellye Knueppel, OD, FCOVD Great Lakes Congress 2018 Goals of lecture: Understand optical characteristics in order to expand the uses of lenses in prescribing glasses

More information

GEOMETRIC OPTICS. LENSES refract light, so we need to know how light bends when entering and exiting a lens and how that interaction forms an image.

GEOMETRIC OPTICS. LENSES refract light, so we need to know how light bends when entering and exiting a lens and how that interaction forms an image. I. What is GEOMTERIC OPTICS GEOMETRIC OPTICS In geometric optics, LIGHT is treated as imaginary rays. How these rays interact with at the interface of different media, including lenses and mirrors, is

More information

Light, Photons, and MRI

Light, Photons, and MRI Light, Photons, and MRI When light hits an object, some of it will be reflected. The reflected light can form an image. We usually want to be able to characterize the image given what we know about the

More information

Essential Physics I. Lecture 13:

Essential Physics I. Lecture 13: Essential Physics I E I Lecture 13: 11-07-16 Reminders No lecture: Monday 18th July (holiday) Essay due: Monday 25th July, 4:30 pm 2 weeks!! Exam: Monday 1st August, 4:30 pm Announcements 250 word essay

More information

AP Physics: Curved Mirrors and Lenses

AP Physics: Curved Mirrors and Lenses The Ray Model of Light Light often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization, but is very useful for geometric

More information

Chapter 34: Geometrical Optics

Chapter 34: Geometrical Optics Chapter 34: Geometrical Optics Mirrors Plane Spherical (convex or concave) Lenses The lens equation Lensmaker s equation Combination of lenses E! Phys Phys 2435: 22: Chap. 34, 3, Pg Mirrors New Topic Phys

More information

Lecture Outline Chapter 26. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc.

Lecture Outline Chapter 26. Physics, 4 th Edition James S. Walker. Copyright 2010 Pearson Education, Inc. Lecture Outline Chapter 26 Physics, 4 th Edition James S. Walker Chapter 26 Geometrical Optics Units of Chapter 26 The Reflection of Light Forming Images with a Plane Mirror Spherical Mirrors Ray Tracing

More information

Math of Optics Quiz. 6. A lens has power x090 and will use minus cylinder form. What curves will beground if the base curve is +5.00?

Math of Optics Quiz. 6. A lens has power x090 and will use minus cylinder form. What curves will beground if the base curve is +5.00? Math of Optics Quiz 1. A lens has focal length 20 cm behind the lens. What is its power? 2. A lens has power -2.50 diopters. What is its focal length? 3. A lens has front power +6.00 and back powers of

More information

Optics Course (Phys 311) Geometrical Optics Refraction through Lenses

Optics Course (Phys 311) Geometrical Optics Refraction through Lenses Optics Course (Phys ) Geometrical Optics Refraction through Lenses Lecturer: Dr Zeina Hashim Slide 1 Objectives covered in this lesson : 1. The refracting power of a thin lens. 2. Thin lens combinations.

More information

Welcome to: Physics I. I m Dr Alex Pettitt, and I ll be your guide!

Welcome to: Physics I. I m Dr Alex Pettitt, and I ll be your guide! Welcome to: Physics I I m Dr Alex Pettitt, and I ll be your guide! Physics I: x Mirrors and lenses Lecture 13: 6-11-2018 Last lecture: Reflection & Refraction Reflection: Light ray hits surface Ray moves

More information

PH 222-2A Spring 2015

PH 222-2A Spring 2015 PH 222-2A Spring 2015 Images Lectures 24-25 Chapter 34 (Halliday/Resnick/Walker, Fundamentals of Physics 9 th edition) 3 Chapter 34 Images One of the most important uses of the basic laws governing light

More information

Physics 1C Lecture 26A. Beginning of Chapter 26

Physics 1C Lecture 26A. Beginning of Chapter 26 Physics 1C Lecture 26A Beginning of Chapter 26 Mirrors and Lenses! As we have noted before, light rays can be diverted by optical systems to fool your eye into thinking an object is somewhere that it is

More information

PHYSICS. Chapter 34 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT

PHYSICS. Chapter 34 Lecture FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E RANDALL D. KNIGHT PHYSICS FOR SCIENTISTS AND ENGINEERS A STRATEGIC APPROACH 4/E Chapter 34 Lecture RANDALL D. KNIGHT Chapter 34 Ray Optics IN THIS CHAPTER, you will learn about and apply the ray model of light Slide 34-2

More information

Physics 1C. Lecture 23A. "If Dracula can t see his reflection in the mirror, how come his hair is always so neatly combed?

Physics 1C. Lecture 23A. If Dracula can t see his reflection in the mirror, how come his hair is always so neatly combed? Physics 1C Lecture 23A "If Dracula can t see his reflection in the mirror, how come his hair is always so neatly combed?" --Steven Wright Mirror Equation You can mathematically relate the object distance,

More information

ONE MARK QUESTIONS GEOMETRICAL OPTICS QUESTION BANK

ONE MARK QUESTIONS GEOMETRICAL OPTICS QUESTION BANK ONE MARK QUESTIONS 1. What is lateral shift? 2. What should be the angle of incidence to have maximum lateral shift? 3. For what angle, lateral shift is minimum? 4. What is Normal shift? 5. What is total

More information

Thin Lenses. Lecture 23. Chapter 34. Ray Optics. Physics II. Course website:

Thin Lenses. Lecture 23. Chapter 34. Ray Optics. Physics II. Course website: Lecture 23 Chapter 34 Physics II Ray Optics Thin Lenses Course website: http://faculty.uml.edu/andriy_danylov/teaching/physicsii Today we are going to discuss: Chapter 34: Section 34.5-6 Thin Lenses There

More information

34.2: Two Types of Image

34.2: Two Types of Image Chapter 34 Images 34.2: Two Types of Image For you to see an object, your eye intercepts some of the light rays spreading from the object and then redirect them onto the retina at the rear of the eye.

More information

Optics Course (Phys 311) Geometrical Optics Refraction through Lenses

Optics Course (Phys 311) Geometrical Optics Refraction through Lenses Optics Course (Phys ) Geometrical Optics Refraction through Lenses Lecturer: Dr Zeina Hashim Slide 1 Objectives covered in this lesson : 1. Refraction through single spherical refracting surfaces. 2. Lenses:

More information

A concave mirror is a converging mirror because parallel rays will. A convex mirror is a diverging mirror because parallel rays will

A concave mirror is a converging mirror because parallel rays will. A convex mirror is a diverging mirror because parallel rays will Ray Diagrams Convex Mirror A concave mirror is a converging mirror because parallel rays will. A convex mirror is a diverging mirror because parallel rays will. Quick Activity obtain a ray box and a curved

More information

Person s Optics Test SSSS

Person s Optics Test SSSS Person s Optics Test SSSS 2017-18 Competitors Names: School Name: All questions are worth one point unless otherwise stated. Show ALL WORK or you may not receive credit. Include correct units whenever

More information

Chapter 34. Images. In this chapter we define and classify images, and then classify several basic ways in which they can be produced.

Chapter 34. Images. In this chapter we define and classify images, and then classify several basic ways in which they can be produced. Chapter 34 Images One of the most important uses of the basic laws governing light is the production of images. Images are critical to a variety of fields and industries ranging from entertainment, security,

More information

Physics 11 Chapter 18: Ray Optics

Physics 11 Chapter 18: Ray Optics Physics 11 Chapter 18: Ray Optics "... Everything can be taken from a man but one thing; the last of the human freedoms to choose one s attitude in any given set of circumstances, to choose one s own way.

More information

General Physics II. Mirrors & Lenses

General Physics II. Mirrors & Lenses General Physics II Mirrors & Lenses Nothing New! For the next several lectures we will be studying geometrical optics. You already know the fundamentals of what is going on!!! Reflection: θ 1 = θ r incident

More information

UNIT VI OPTICS ALL THE POSSIBLE FORMULAE

UNIT VI OPTICS ALL THE POSSIBLE FORMULAE 58 UNIT VI OPTICS ALL THE POSSIBLE FORMULAE Relation between focal length and radius of curvature of a mirror/lens, f = R/2 Mirror formula: Magnification produced by a mirror: m = - = - Snell s law: 1

More information

Homework Set 3 Due Thursday, 07/14

Homework Set 3 Due Thursday, 07/14 Homework Set 3 Due Thursday, 07/14 Problem 1 A room contains two parallel wall mirrors, on opposite walls 5 meters apart. The mirrors are 8 meters long. Suppose that one person stands in a doorway, in

More information

Light: Geometric Optics

Light: Geometric Optics Light: Geometric Optics 23.1 The Ray Model of Light Light very often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization,

More information

9. RAY OPTICS AND OPTICAL INSTRUMENTS

9. RAY OPTICS AND OPTICAL INSTRUMENTS 9. RAY OPTICS AND OPTICAL INSTRUMENTS 1. Define the terms (a) ray of light & (b) beam of light A ray is defined as the straight line path joining the two points by which light is travelling. A beam is

More information

Reflections. I feel pretty, oh so pretty

Reflections. I feel pretty, oh so pretty Reflections I feel pretty, oh so pretty Objectives By the end of the lesson, you should be able to: Draw an accurate reflective angle Determine the focal length of a spherical mirror Light Review Light

More information

Prism, Prism, Prism! 7/27/2017. Conflict of Interest. Want more notes? Prism! How are Prisms used in Patient Care?

Prism, Prism, Prism! 7/27/2017. Conflict of Interest. Want more notes? Prism! How are Prisms used in Patient Care? Prism, Prism, Prism! Therapeutic use of Prism in Vision Therapy Jen Simonson, OD, FCOVD www.bouldervt.com 1 Northeast Congress 2017 Conflict of Interest Dr. Simonson is a co-founder of glabs, the OPTO

More information

a) Is the image real or virtual? Explain b) Is the image inverted or upright (non-inverted)?

a) Is the image real or virtual? Explain b) Is the image inverted or upright (non-inverted)? 1. An object that is 5.0 cm high is placed 35.0 cm from a converging lens that has a focal length of 25.0 cm. a) Is the image real or virtual? Explain b) Is the image inverted or upright (non-inverted)?

More information

Algebra Based Physics

Algebra Based Physics Slide 1 / 66 Slide 2 / 66 Algebra Based Physics Geometric Optics 2015-12-01 www.njctl.org Table of ontents Slide 3 / 66 lick on the topic to go to that section Reflection Spherical Mirror Refraction and

More information

Chapter 23. Geometrical Optics (lecture 1: mirrors) Dr. Armen Kocharian

Chapter 23. Geometrical Optics (lecture 1: mirrors) Dr. Armen Kocharian Chapter 23 Geometrical Optics (lecture 1: mirrors) Dr. Armen Kocharian Reflection and Refraction at a Plane Surface The light radiate from a point object in all directions The light reflected from a plane

More information

Chapter 26 Geometrical Optics

Chapter 26 Geometrical Optics Chapter 26 Geometrical Optics 26.1 The Reflection of Light 26.2 Forming Images With a Plane Mirror 26.3 Spherical Mirrors 26.4 Ray Tracing and the Mirror Equation 26.5 The Refraction of Light 26.6 Ray

More information

PHY 171 Lecture 6 (January 18, 2012)

PHY 171 Lecture 6 (January 18, 2012) PHY 171 Lecture 6 (January 18, 2012) Light Throughout most of the next 2 weeks, we will be concerned with the wave properties of light, and phenomena based on them (interference & diffraction). Light also

More information

Light travels in straight lines, this is referred to as... this means that light does not bend...

Light travels in straight lines, this is referred to as... this means that light does not bend... SNC 2DI - 10.2 Properties of Light and Reflection Light travels in straight lines, this is referred to as... this means that light does not bend... Reflection : Light travels in a straight line as long

More information

Chapter 26 Geometrical Optics

Chapter 26 Geometrical Optics Chapter 26 Geometrical Optics 1 Overview of Chapter 26 The Reflection of Light Forming Images with a Plane Mirror Spherical Mirrors Ray Tracing and the Mirror Equation The Refraction of Light Ray Tracing

More information

1. What is the law of reflection?

1. What is the law of reflection? Name: Skill Sheet 7.A The Law of Reflection The law of reflection works perfectly with light and the smooth surface of a mirror. However, you can apply this law to other situations. For example, how would

More information

Chapter 11 Mirrors and Lenses KEY

Chapter 11 Mirrors and Lenses KEY Science 8 Physics Unit http://moodle.sd23.bc.ca/drk Question Completion Asking for Help Working in Class G I have completed all of the assigned questions, completed all diagrams, and corrected all wrong

More information

PLANO LENSES. Memo Written by D. B. Whitney on April 28, 1985 American Optical

PLANO LENSES. Memo Written by D. B. Whitney on April 28, 1985 American Optical PLANO LENSES Memo Written by D. B. Whitney on April 28, 1985 American Optical The subject of plano lenses is one about which much has been said and written. Even so, I think it might be well for me to

More information

Light: Geometric Optics (Chapter 23)

Light: Geometric Optics (Chapter 23) Light: Geometric Optics (Chapter 23) Units of Chapter 23 The Ray Model of Light Reflection; Image Formed by a Plane Mirror Formation of Images by Spherical Index of Refraction Refraction: Snell s Law 1

More information

2/26/2016. Chapter 23 Ray Optics. Chapter 23 Preview. Chapter 23 Preview

2/26/2016. Chapter 23 Ray Optics. Chapter 23 Preview. Chapter 23 Preview Chapter 23 Ray Optics Chapter Goal: To understand and apply the ray model of light. Slide 23-2 Chapter 23 Preview Slide 23-3 Chapter 23 Preview Slide 23-4 1 Chapter 23 Preview Slide 23-5 Chapter 23 Preview

More information

The image is virtual and erect. When a mirror is rotated through a certain angle, the reflected ray is rotated through twice this angle.

The image is virtual and erect. When a mirror is rotated through a certain angle, the reflected ray is rotated through twice this angle. 1 Class XII: Physics Chapter 9: Ray optics and Optical Instruments Top Concepts 1. Laws of Reflection. The reflection at a plane surface always takes place in accordance with the following two laws: (i)

More information

Optics INTRODUCTION DISCUSSION OF PRINCIPLES. Reflection by a Plane Mirror

Optics INTRODUCTION DISCUSSION OF PRINCIPLES. Reflection by a Plane Mirror Optics INTRODUCTION Geometric optics is one of the oldest branches of physics, dealing with the laws of reflection and refraction. Reflection takes place on the surface of an object, and refraction occurs

More information

UNIT C: LIGHT AND OPTICAL SYSTEMS

UNIT C: LIGHT AND OPTICAL SYSTEMS 1 UNIT C: LIGHT AND OPTICAL SYSTEMS Science 8 2 LIGHT BEHAVES IN PREDICTABLE WAYS. Section 2.0 1 3 LIGHT TRAVELS IN RAYS AND INTERACTS WITH MATERIALS Topic 2.1 RAY DIAGRAMS Scientists use ray diagrams

More information

LECTURE 25 Spherical Refracting Surfaces. Geometric Optics

LECTURE 25 Spherical Refracting Surfaces. Geometric Optics LECTURE 25 Spherical Refracting Surfaces Geometric ptics When length scales are >> than the light s wavelength, light propagates as rays incident ray reflected ray θ θ r θ 2 refracted ray Reflection: Refraction:

More information

LIGHT CLASS X STUDY MATERIAL & QUESTION BANK:

LIGHT CLASS X STUDY MATERIAL & QUESTION BANK: LIGHT CLASS X STUDY MATERIAL & QUESTION BANK: 1. REFLECTION OF LIGHT: The phenomenon of light coming back into the same medium after it strikes a smooth surface is called reflection. 2. LAWS OF REFLECTION:

More information

Optics Homework. Assignment #2. Assignment #1. Textbook: Read Section 23-1 and 23-2

Optics Homework. Assignment #2. Assignment #1. Textbook: Read Section 23-1 and 23-2 Optics Homework Assignment #1 Textbook: Read Section 22-3 (Honors only) Textbook: Read Section 23-1 Online: Reflection Lesson 1a: * problems are for all students ** problems are for honors physics 1. *

More information

Physics 102: Lecture 16 Introduction to Mirrors

Physics 102: Lecture 16 Introduction to Mirrors Physics 102: Lecture 16 Introduction to Mirrors Physics 102: Lecture 16, Slide 1 Exam II Tuesday April 1st! What will exam cover? Lectures 8 15 (Magnetic fields Polarization) What do you need to bring?

More information

Light and Lenses Notes

Light and Lenses Notes Light and Lenses Notes Refraction The change in speed and direction of a wave Due to change in medium Must cross boundary at an angle other than 90 o, otherwise no change in direction I R (unlike reflection)

More information

3. Confirm Does the law of reflection apply to rough surfaces? Explain. Diffuse Reflection

3. Confirm Does the law of reflection apply to rough surfaces? Explain. Diffuse Reflection Light Key Concepts How does light reflect from smooth surfaces and rough surfaces? What happens to light when it strikes a concave mirror? Which types of mirrors can produce a virtual image? Reflection

More information

Instruction document. Fitting recommendations

Instruction document. Fitting recommendations Instruction document Fitting recommendations Table of Contents Terminology 4 Frame Parameters: 4 Fitting parameters 4 Wearing parameters 6 Fitting recommendation Hoya Single Vision range 8 Hoya Single

More information

Chapter 23. Images and Mirrors 3/23/11. Mirrors and Lenses QUESTIONS? PLEASE ASK! Types of Images for Mirrors and Lenses.

Chapter 23. Images and Mirrors 3/23/11. Mirrors and Lenses QUESTIONS? PLEASE ASK! Types of Images for Mirrors and Lenses. 3/23/ LIGO mirror Announcements LIGO mirror Two exams down, one to go! No HW this week. Credit: LIGO Laboratory, Caltech Office hours: My office hours today from 2-3 pm (or make an appointment) Chapter

More information

Light: Geometric Optics

Light: Geometric Optics Light: Geometric Optics The Ray Model of Light Light very often travels in straight lines. We represent light using rays, which are straight lines emanating from an object. This is an idealization, but

More information

Rigid Body Motion and Image Formation. Jana Kosecka, CS 482

Rigid Body Motion and Image Formation. Jana Kosecka, CS 482 Rigid Body Motion and Image Formation Jana Kosecka, CS 482 A free vector is defined by a pair of points : Coordinates of the vector : 1 3D Rotation of Points Euler angles Rotation Matrices in 3D 3 by 3

More information

index of refraction-light speed

index of refraction-light speed AP Physics Study Guide Chapters 22, 23, 24 Reflection, Refraction and Interference Name Write each of the equations specified below, include units for all quantities. Law of Reflection Lens-Mirror Equation

More information

Light and Mirrors MIRRORS

Light and Mirrors MIRRORS Light and Mirrors MIRRORS 1 Polarized Sunglasses- How do they work? light waves vibrate in more than one plane light waves can be made to vibrate in a single plane by use of polarizing filters. 2 polarizing

More information

normal: a line drawn perpendicular (90 ) from the point of incidence of the reflecting surface

normal: a line drawn perpendicular (90 ) from the point of incidence of the reflecting surface Ch 11 Reflecting Light off a Plane Mirror p. 313 Types of Mirrors (3) 1) Plane: flat fg 1 p. 313 law of reflection: the angle of incidence = the angle of reflection incident ray (in): the ray (light beam)

More information

LECTURE 17 MIRRORS AND THIN LENS EQUATION. Instructor: Kazumi Tolich

LECTURE 17 MIRRORS AND THIN LENS EQUATION. Instructor: Kazumi Tolich LECTURE 17 MIRRORS AND THIN LENS EQUATION Instructor: Kazumi Tolich Lecture 17 2 18.6 Image formation with spherical mirrors Concave mirrors Convex mirrors 18.7 The thin-lens equation Sign conventions

More information

Announcement on HW 8. HW 8 originally due this Wednesday, Mar. 13 Now due FRIDAY, Mar. 15 at 8:00am. Physics 102: Lecture 16, Slide 1

Announcement on HW 8. HW 8 originally due this Wednesday, Mar. 13 Now due FRIDAY, Mar. 15 at 8:00am. Physics 102: Lecture 16, Slide 1 Announcement on HW 8 HW 8 originally due this Wednesday, Mar. 13 Now due FRIDAY, Mar. 15 at 8:00am Physics 102: Lecture 16, Slide 1 Physics 102: Lecture 16 Introduction to Mirrors Physics 102: Lecture

More information

Review Session 1. Dr. Flera Rizatdinova

Review Session 1. Dr. Flera Rizatdinova Review Session 1 Dr. Flera Rizatdinova Summary of Chapter 23 Index of refraction: Angle of reflection equals angle of incidence Plane mirror: image is virtual, upright, and the same size as the object

More information

Practical Applications for Spectacle Lens Formulas

Practical Applications for Spectacle Lens Formulas Practical Applications for Spectacle Lens Formulas ED DE GENNARO RICHMOND, VIRGINIA Ed De Gennaro Director, Professional Content First Vision Media Group 1 Boring? Formulas don t have to be boring Too

More information

Textbook Reference: Glencoe Physics: Chapters 16-18

Textbook Reference: Glencoe Physics: Chapters 16-18 Honors Physics-121B Geometric Optics Introduction: A great deal of evidence suggests that light travels in straight lines. A source of light like the sun casts distinct shadows. We can hear sound from

More information

lecture 10 - depth from blur, binocular stereo

lecture 10 - depth from blur, binocular stereo This lecture carries forward some of the topics from early in the course, namely defocus blur and binocular disparity. The main emphasis here will be on the information these cues carry about depth, rather

More information

Physics 1230: Light and Color. Guest Lecture 18 Jack Houlton Lenses, Rays, and Math!

Physics 1230: Light and Color. Guest Lecture 18 Jack Houlton Lenses, Rays, and Math! Physics 230: Light and Color Chuck Rogers, Charles.Rogers@colorado.edu Ryan Henley, Valyria McFarland, Peter Siegfried physicscourses.colorado.edu/phys230 Guest Lecture 8 Jack Houlton Lenses, Rays, and

More information

AP* Optics Free Response Questions

AP* Optics Free Response Questions AP* Optics Free Response Questions 1978 Q5 MIRRORS An object 6 centimeters high is placed 30 centimeters from a concave mirror of focal length 10 centimeters as shown above. (a) On the diagram above, locate

More information

Chapter 3: Mirrors and Lenses

Chapter 3: Mirrors and Lenses Chapter 3: Mirrors and Lenses Chapter 3: Mirrors and Lenses Lenses Refraction Converging rays Diverging rays Converging Lens Ray tracing rules Image formation Diverging Lens Ray tracing Image formation

More information

Chapter 34. Thin Lenses

Chapter 34. Thin Lenses Chapter 34 Thin Lenses Thin Lenses Mirrors Lenses Optical Instruments MFMcGraw-PHY 2426 Chap34a-Lenses-Revised: 7/13/2013 2 Inversion A right-handed coordinate system becomes a left-handed coordinate system

More information

PHY 112: Light, Color and Vision. Lecture 11. Prof. Clark McGrew Physics D 134. Review for Exam. Lecture 11 PHY 112 Lecture 1

PHY 112: Light, Color and Vision. Lecture 11. Prof. Clark McGrew Physics D 134. Review for Exam. Lecture 11 PHY 112 Lecture 1 PHY 112: Light, Color and Vision Lecture 11 Prof. Clark McGrew Physics D 134 Review for Exam Lecture 11 PHY 112 Lecture 1 From Last Time Lenses Ray tracing a Convex Lens Announcements The midterm is Thursday

More information

Physics 102: Lecture 17 Reflection and Refraction of Light

Physics 102: Lecture 17 Reflection and Refraction of Light Physics 102: Lecture 17 Reflection and Refraction of Light Physics 102: Lecture 17, Slide 1 Today Last Time Recall from last time. Reflection: q i = q r Flat Mirror: image equidistant behind Spherical

More information

Inaugural University of Michigan Science Olympiad Invitational Tournament. Optics

Inaugural University of Michigan Science Olympiad Invitational Tournament. Optics Inaugural University of Michigan Science Olympiad Invitational Tournament Test length: 50 Minutes Optics Team number: Team name: Student names: Instructions: Do not open this test until told to do so.

More information

Thin Lenses 4/16/2018 1

Thin Lenses 4/16/2018 1 Thin Lenses f 4/16/2018 1 Thin Lenses: Converging Lens C 2 F 1 F 2 C 1 r 2 f r 1 Parallel rays refract twice Converge at F 2 a distance f from center of lens F 2 is a real focal pt because rays pass through

More information

P H Y L A B 1 : G E O M E T R I C O P T I C S

P H Y L A B 1 : G E O M E T R I C O P T I C S P H Y 1 4 3 L A B 1 : G E O M E T R I C O P T I C S Introduction Optics is the study of the way light interacts with other objects. This behavior can be extremely complicated. However, if the objects in

More information

PHYSICS. Light FORM 4. Chapter 5. Compiled by Cikgu Desikan

PHYSICS. Light FORM 4. Chapter 5. Compiled by Cikgu Desikan PHYSICS RM 4 Chapter 5 Light Compiled by Cikgu Desikan PRE SPM PHYSICS 2016 Chapter 5 Light Dear students, The two basic processes of education are knowing and valuing. Learning bjectives : 1. Understanding

More information

Ch. 26: Geometrical Optics

Ch. 26: Geometrical Optics Sec. 6-1: The Reflection of Light Wave Fronts and Rays Ch. 6: Geometrical Optics Wave front: a surface on which E is a maximum. Figure 5-3: Plane Wave *For this wave, the wave fronts are a series of planes.

More information

Ray Optics. Physics 11. Sources of Light Rays: Self-Luminous Objects. The Ray Model of Light

Ray Optics. Physics 11. Sources of Light Rays: Self-Luminous Objects. The Ray Model of Light Physics 11 Ray Optics Ray Model of Light Reflection Plane Mirrors Spherical Mirrors Ray Tracing Images from a Concave Mirror Images from a Convex Mirror Slide 18-3 The Ray Model of Light Sources of Light

More information

Winmeen Tnpsc Group 1 & 2 Self Preparation Course Physics UNIT 9. Ray Optics. surface at the point of incidence, all lie in the same plane.

Winmeen Tnpsc Group 1 & 2 Self Preparation Course Physics UNIT 9. Ray Optics. surface at the point of incidence, all lie in the same plane. Laws of reflection Physics UNIT 9 Ray Optics The incident ray, the reflected ray and the normal drawn to the reflecting surface at the point of incidence, all lie in the same plane. The angle of incidence

More information

Reflection and Mirrors

Reflection and Mirrors Reflection and Mirrors 1 The Law of Reflection The angle of incidence equals the angle of reflection. 2 The Law of Reflection When light strikes a surface it is reflected. The light ray striking the surface

More information

Conceptual Physics 11 th Edition

Conceptual Physics 11 th Edition Conceptual Physics 11 th Edition Chapter 28: REFLECTION & REFRACTION This lecture will help you understand: Reflection Principle of Least Time Law of Reflection Refraction Cause of Refraction Dispersion

More information

Physics 345 Pre-Lab 5 Lenses Part II

Physics 345 Pre-Lab 5 Lenses Part II Physics 345 Pre-Lab 5 Lenses Part II 1) Does a lens in eye-glasses form a real image, a virtual image, or no image at all (as far as the eye-glass wearer is concerned)? How do you know? Does it make a

More information

Chapter 32 Light: Reflection and Refraction. Copyright 2009 Pearson Education, Inc.

Chapter 32 Light: Reflection and Refraction. Copyright 2009 Pearson Education, Inc. Chapter 32 Light: Reflection and Refraction Units of Chapter 32 The Ray Model of Light Reflection; Image Formation by a Plane Mirror Formation of Images by Spherical Mirrors Index of Refraction Refraction:

More information

Reflection and Refraction. Geometrical Optics

Reflection and Refraction. Geometrical Optics Reflection and Refraction Geometrical Optics Reflection Angle of incidence = Angle of reflection The angle of incidence,i, is always equal to the angle of reflection, r. The incident ray, reflected ray

More information

Chapter 26 Geometrical Optics

Chapter 26 Geometrical Optics Chapter 26 Geometrical Optics The Reflection of Light: Mirrors: Mirrors produce images because the light that strikes them is reflected, rather than absorbed. Reflected light does much more than produce

More information

LIGHT & OPTICS. Fundamentals of Physics 2112 Chapter 34 1

LIGHT & OPTICS. Fundamentals of Physics 2112 Chapter 34 1 LIGHT & OPTICS Fundamentals of Physics 22 Chapter 34 Chapter 34 Images. Two Types of Images 2. Plane Mirrors 3. Spherical Mirrors 4. Images from Spherical Mirrors 5. Spherical Refracting Surfaces 6. Thin

More information

This is a product spotlight supported by an educational grant from HOYA Vision Care.

This is a product spotlight supported by an educational grant from HOYA Vision Care. Product Spotlight - HOYA id Lifestyle 3 Designing a Better Visual Experience for the Progressive Lens Wearer By Deborah Kotob, ABOM 1 Hour ABO Technical Level II This course addresses the importance of

More information

Chapter 5 Mirror and Lenses

Chapter 5 Mirror and Lenses Chapter 5 Mirror and Lenses Name: 5.1 Ray Model of Light Another model for light is that it is made up of tiny particles called. Photons travel in perfect, lines from a light source This model helps us

More information

Nicholas J. Giordano. Chapter 24. Geometrical Optics. Marilyn Akins, PhD Broome Community College

Nicholas J. Giordano.   Chapter 24. Geometrical Optics. Marilyn Akins, PhD Broome Community College Nicholas J. Giordano www.cengage.com/physics/giordano Chapter 24 Geometrical Optics Marilyn Akins, PhD Broome Community College Optics The study of light is called optics Some highlights in the history

More information

PHYS2002 Spring 2012 Practice Exam 3 (Chs. 25, 26, 27) Constants

PHYS2002 Spring 2012 Practice Exam 3 (Chs. 25, 26, 27) Constants PHYS00 Spring 01 Practice Exam 3 (Chs. 5, 6, 7) Constants m m q q p e ε = 8.85 o o p e = 1.67 = 9.11 7 9 7 31 = + 1.60 = 1.60 μ = 4π k = 8.99 g = 9.8 m/s 1 kg 19 19 C kg T m/a N m C / N m C / C 1. A convex

More information

Recap: Refraction. Amount of bending depends on: - angle of incidence - refractive index of medium. (n 2 > n 1 ) n 2

Recap: Refraction. Amount of bending depends on: - angle of incidence - refractive index of medium. (n 2 > n 1 ) n 2 Amount of bending depends on: - angle of incidence - refractive index of medium Recap: Refraction λ 1 (n 2 > n 1 ) Snell s Law: When light passes from one transparent medium to another, the rays will be

More information

Quest Chapter 30. Same hint as in #1. Consider the shapes of lenses that make them converge or diverge.

Quest Chapter 30. Same hint as in #1. Consider the shapes of lenses that make them converge or diverge. 1 Consider the light rays depicted in the figure. 1. diverging mirror 2. plane mirror 3. converging mirror 4. converging lens 5. diverging lens 6. Unable to determine. 2 Consider the light rays depicted

More information

Phys102 Lecture 21/22 Light: Reflection and Refraction

Phys102 Lecture 21/22 Light: Reflection and Refraction Phys102 Lecture 21/22 Light: Reflection and Refraction Key Points The Ray Model of Light Reflection and Mirrors Refraction, Snell s Law Total internal Reflection References 23-1,2,3,4,5,6. The Ray Model

More information

Lenses. Learning Objectives: Explain how light travels through convex and concave lenses Explain why light is refracted

Lenses. Learning Objectives: Explain how light travels through convex and concave lenses Explain why light is refracted Learning Objectives: Lenses Explain how light travels through convex and concave lenses Explain why light is refracted Starter Complete your refraction sheet. Use these words to fill in the gaps: towards

More information

Stevens High School AP Physics II Work for Not-school

Stevens High School AP Physics II Work for Not-school 1. Gravitational waves are ripples in the fabric of space-time (more on this in the next unit) that travel at the speed of light (c = 3.00 x 10 8 m/s). In 2016, the LIGO (Laser Interferometry Gravitational

More information

Figure 1 - Refraction

Figure 1 - Refraction Geometrical optics Introduction Refraction When light crosses the interface between two media having different refractive indices (e.g. between water and air) a light ray will appear to change its direction

More information

Lecture 36: FRI 17 APR

Lecture 36: FRI 17 APR Physics 2102 Jonathan Dowling Lecture 36: FRI 17 APR 34.1 4: Geometrical optics Geometrical Optics Geometrical optics (rough approximation): light rays ( particles ) that travel in straight lines. Physical

More information

Chapter 5 Mirrors and Lenses

Chapter 5 Mirrors and Lenses Chapter 5 Notes: Mirrors and Lenses Name: Block: The Ray Model of Light The ray model of light represents light as a line, or ray, indicating the path of a beam of light. Light travels in straight lines

More information

Geometrical Optics. 1 st year physics laboratories. University of Ottawa

Geometrical Optics. 1 st year physics laboratories. University of Ottawa Geometrical Optics 1 st year physics laboratories University of Ottawa https://uottawa.brightspace.com/d2l/home INTRODUCTION Geometrical optics deals with light as a ray that can be bounced (reflected)

More information

Chapter 23. Geometrical Optics: Mirrors and Lenses and other Instruments

Chapter 23. Geometrical Optics: Mirrors and Lenses and other Instruments Chapter 23 Geometrical Optics: Mirrors and Lenses and other Instruments HITT1 A small underwater pool light is 1 m below the surface of a swimming pool. What is the radius of the circle of light on the

More information

PHYS 202 Notes, Week 9

PHYS 202 Notes, Week 9 PHYS 202 Notes, Week 9 Greg Christian March 22 & 24, 206 Last updated: 03/24/206 at 2:23:56 This week we learn about images by mirrors, refraction, and thin lenses. Images Spherical Mirrors First let s

More information

M = h' h = #i. n = c v

M = h' h = #i. n = c v Name: Physics Chapter 14 Study Guide ----------------------------------------------------------------------------------------------------- Useful Information: c = 3 "10 8 m s 1 i + 1 o = 1 f M = h' h =

More information

All forms of EM waves travel at the speed of light in a vacuum = 3.00 x 10 8 m/s This speed is constant in air as well

All forms of EM waves travel at the speed of light in a vacuum = 3.00 x 10 8 m/s This speed is constant in air as well Pre AP Physics Light & Optics Chapters 14-16 Light is an electromagnetic wave Electromagnetic waves: Oscillating electric and magnetic fields that are perpendicular to the direction the wave moves Difference

More information