Geometrical Optics and Physical Optics by Herimanda A. Ramilison - HTML preview

PLEASE NOTE: This is an HTML preview only and some elements such as links or page numbers may be incorrect.
Download the book in PDF, ePub, Kindle for a complete version.

African Virtual University

Useful Link #7

Title : Systèmes oscillants (Oscillatory Systems)

URL : http://www.uel-pcsm.education.fr/consultation/reference/physique/syst_

oscillants/index.htm

Screenshot :

Description: This is a very complete site for understanding the behavior of

oscillatory systems. On it you can find many headings : ‘apprendre (learning)’

course framework, ‘s’exercer (practice)’ gives exercises for each chapter, ‘s’éva-

luer (evaluate)’ presents self-evaluations.

Justification: This very comprehensive site allows you to acquire the necessary

knowledge to master an oscillator’s different characteristics. Solving general

oscillating system equations allow the comprehension of the analogy between

oscillators independently from the nature of the pulse.

index-29_1.jpg

index-29_2.jpg

African Virtual University

Useful Link #8

Title : Interférences (Interference)

URL : http://www.uel-pcsm.education.fr/consultation/reference/physique/in-

terf/

Screenshot :

Description: This is a very complete site for understanding and interpreting the

conditions that are essential to producing an interference, along with its cha-

racteristics. On it you can find many headings : ‘apprendre (learning)’ course

framework, ‘simuler (simulate)’ access to QuickTime animations and Flash or

Java simulations, ‘observer (observe)’ access to experiment movies, ‘s’exercer

(practice)’ gives exercises for each chapter, ‘s’évaluer (evaluate)’ presents self-

evaluations.

Justification: This very comprehensive site allows you to acquire the necessary

knowledge to master the different characteristics related to interferences. A hi-

ghlight of this website is the use of Fresnel representations (or phasers according

to certain authors) as well as analytical calculations.

index-30_1.jpg

index-30_2.jpg

African Virtual University

Useful Link #9

Title :Diffraction (Diffraction)

URL : http://www.uel-pcsm.education.fr/consultation/reference/physique/dif-

fraction/

Screenshot :

Description: This is a very complete site for understanding diffraction cha-

racteristics. On it you can find many headings : ‘apprendre (learning)’ course

framework, ‘simuler (simulate)’ access to QuickTime animations and Flash or

Java simulations, ‘observer (observe)’ access to experiment movies, ‘s’exercer

(practice)’ gives exercises for each chapter, ‘s’évaluer (evaluate)’ presents self-

evaluations.

Justification: This very comprehensive site allows you to acquire the necessary

knowledge to master diffraction characteristics. The highlight of this site is the gra-

phical representation of each phenomenon using the results that were obtained.

index-31_1.jpg

index-31_2.jpg

African Virtual University 0

Useful Link #10

Title : Optique ondulatoire : Interférences et Diffraction (Wave Optics :

Interference and Diffraction)

URL : http://www.fundp.ac.be/sciences/physique/didactique/optique/index.php

Screenshot :

Description: Following a short review, this site defines the necessary conditions

for producing interferences and diffraction. A simulation allows you to highlight

the evolution of an interference or diffraction pattern. The variables can be mo-

dified, thus allowing you to observe the way an interference evolves.

Justification: The different simulations provide a better understanding of how

to construct interference or diffraction figures. It is possible to observe all of a

slit’s diffraction characteristics since you are able to change the slit’s width, the

focal length and the wavelength.

index-32_1.jpg

African Virtual University

XIV. learning activities

Learning Activity 1

Activity Title

Geometrical Optics Basic

Required Time

4 hours

Specific Objectives

Recognize the characteristic magnitudes of a light wave

Recite Descartes’ Laws

Describe the concept of a ray of light

Describe the characteristics for an image created by an optical system

Activity Summary

Through this activity, you will learn how the concept of optics and, later on, of

light and similar phenomena has changed, even when the phenomena cannot be

directly detected by human beings. The history about the way optics laws were

developed will help you understand the different steps required to establish current

knowledge and applications. This has helped information technology progress

rapidly: lasers, fiber optics... Those elements will allow us to define conditions

and limitations for geometrical optics related laws and principles. You will then

have to identify and categorize the different natures of optical system objects

and images.

Key Concepts

Optics: For close to two thousand years, the study of optics is considered to be

a field that specializes in the phenomena that are seen by the eye. Its main goal

is to research vision mechanisms, but starting in the XVIIth century, it begins to

include all that concerns light and similar phenomena, even when the phenomena

cannot be directly detected by human beings.

Light Waves can be considered as the stacking of monochromatic (of a single

colour) sinusoidal waves.

index-33_1.jpg

African Virtual University

A medium’s refractive index (n) is the relation between the speed of light (c)

in a vacuum and the speed of light (v) in the medium.

Diffraction is the way a wave behaves when confronted with an obstacle that is

not completely transparent to it. (vague diffraction and may be misleading.)

The incidence point I is the spot where a ray of light meets the boundary between

two media.

Activity Description

This educational activity consists of understanding the evolution of the way light

and similar phenomena have been understood. To do so, knowledge of a brief

history of the development of optics laws will allow an understanding of the

necessity to define the limitations and conditions for establishing geometrical

optics laws and principles. To gain a better understanding of the problem you will

need to learn characteristic light wave magnitudes, understand the reason certain

bodies are white, colored or black depending on the nature of the environment.

The comprehension of the concept of a light wave is essential since it will al-

low us to characterize the limitations of geometrical optics. The more elaborate

principles and laws will be addressed in physical optics to show that geometrical

optics is an approximation of a more extensive concept. Since the laws and rules

of optics will mostly be applied to optical instruments, from a lighthouse mirror

to a microscope, we will need to familiarize ourselves with the nature of optical

system objects and images (real or virtual).

Relevant Reading

HERIMANDA A. RAMILISON (2006) : Fondements de l’optique géométrique.

Madagascar. Antanarivo University. Unpublished course. (Give more accessible

relevant reading)

Reading Summary

It includes a brief history of optics and emphasizes the eye’s sensitivity limitations

which are limited to visible wavelengths. In spite of ALHAZEN (965-1039),

an Arabian physicist who was the first to understand that the eye does not emit

rays that examine objects, but that objects themselves, when illuminated by a

source, are at the origin of rectilinear rays, popular belief, that a hypnotist is able

to submit people to his will simply with the ‘power’ of his gaze, still persists.

This course will show us that geometrical optics is nothing but an approximation

of wave theory. A better understanding of the concept of a beam or ray of light

will be obtained with this theory and it will help us to comprehend the different

principles and limits related to geometrical optics. The laws of optics that will

be introduced here might be ancient, but they have the merit of being based on

simple observations. This course will familiarize us with the nature of objects

and images.

index-34_1.jpg

African Virtual University

Reading Justification

This reading will help readers comprehend the justifications and limitations so

that they may:

understand the necessary conditions that result in nearsighted astigma-

tism;

familiarize themselves with the nature of objects and images.

know the definitions of concepts such as: ray of light, incidence point,

reflection, refraction, etc.

Useful Links (Give relevant links in English also)

http://www.sciences.univ-nantes.fr/physique/enseignement/DeugA/Physique1/

optique/cours/chap1.html#x1-92005

http://www.uel-pcsm.education.fr/consultation/reference/physique/optigeo/

menumodule/menuthemes/menu_reduit.html

http://www.univ-Lemans.fr/enseignements/physique/02/optigeo/

http://fr.wikipedia.org/wiki/Optique

http://cours.cegep-st-jerome.qc.ca/203-301-r.f/prtie2/chap6/default.htm

index-35_1.jpg

African Virtual University

Activity Introduction

You are in the dark, you cannot see at all. To be able to see you need to light

a candle, for example. To do so you strike a match, then you burn the candle’s

wick with the match’s flame. You then notice that the candle’s light projects

your shadow onto the wall. These elements emphasize the point that the Arabian

physicist ALHAZEN (965-1039) was trying to get across; that the eye does not

emit rays that examine objects, but that objects themselves, when illuminated

by a source, are at the origin of rectilinear rays. The demonstration we just did

seems quite elementary but it is not, since it has taken a long time to end up with

the knowledge we have now.

Formative Evaluation

1) Draw a sketch, with commentary, that emphasizes the fact that the shadow of

an opaque disc projected onto a screen is homothetic (not clear in English) to

the object no matter what the distance between the disc and the screen is.

2) Complete the following sentence: A beam of light is composed of rectilinear

………………

3) Is it possible to separate a ray of light from a beam of light?

4) How many geometrical optics laws exist? Detail these laws using a dia-

gram.

Learning Activities

To answer the following questions the learners must:

Read all the recommended readings

Complete all of the exercises with clear and precise diagrams

• Organize themselves into a collaborative work group

The group members will work together to solve each exercise. Each group will

designate a spokesperson; the spokespersons from every group will then share

the answers to each exercise through chatting, under the guidance of a tutor. The

tutor will be able to let them know when the correct answer for a question has

been found and will suggest that they continue on to the next exercise.

When all of the problems are solved, the chat window is closed. Since the dis-

cussions are recorded, the tutor will be able to review the chat session at any time

and tell which group suggested the best solutions through each spokesperson.

index-36_1.jpg

index-36_2.png

index-36_3.png

index-36_4.png

index-36_5.png

index-36_6.png

index-36_7.png

index-36_8.png

index-36_9.png

index-36_10.png

index-36_11.png

index-36_12.png

index-36_13.png

index-36_14.png

index-36_15.png

index-36_16.png

index-36_17.png

index-36_18.png

index-36_19.png

index-36_20.png

index-36_21.png

index-36_22.png

index-36_23.png

index-36_24.png

index-36_25.png

index-36_26.png

index-36_27.png

index-36_28.png

index-36_29.png

index-36_30.png

index-36_31.png

index-36_32.png

index-36_33.png

index-36_34.png

index-36_35.png

index-36_36.png

index-36_37.png

index-36_38.png

index-36_39.png

index-36_40.png

index-36_41.png

index-36_42.png

index-36_43.png

index-36_44.png

index-36_45.png

index-36_46.png

index-36_47.png

index-36_48.png

index-36_49.png

index-36_50.png

index-36_51.png

index-36_52.png

index-36_53.png

index-36_54.png

index-36_55.png

index-36_56.png

index-36_57.png

index-36_58.png

index-36_59.png

index-36_60.png

index-36_61.png

index-36_62.png

index-36_63.png

index-36_64.png

index-36_65.png

index-36_66.png

index-36_67.png

index-36_68.png

index-36_69.png

index-36_70.png

index-36_71.png

index-36_72.png

index-36_73.png

index-36_74.png

index-36_75.png

index-36_76.png

index-36_77.png

index-36_78.png

index-36_79.png

index-36_80.png

index-36_81.png

index-36_82.png

index-36_83.png

index-36_84.png

index-36_85.png

index-36_86.png

index-36_87.png

index-36_88.png

index-36_89.png

index-36_90.png

index-36_91.png

index-36_92.png

index-36_93.png

index-36_94.png

index-36_95.png

index-36_96.png

index-36_97.png

index-36_98.png

index-36_99.jpg

index-36_100.png

index-36_101.png

index-36_102.png

index-36_103.png

index-36_104.png

index-36_105.png

index-36_106.png

index-36_107.png

index-36_108.png

index-36_109.png

index-36_110.png

index-36_111.png

index-36_112.png

index-36_113.png

index-36_114.png

index-36_115.png

index-36_116.png

index-36_117.png

index-36_118.png

index-36_119.png

index-36_120.png

index-36_121.png

index-36_122.png

index-36_123.png

index-36_124.png

index-36_125.png

index-36_126.png

index-36_127.png

index-36_128.png