MK Fisika Dasar 2_Bab15

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MK FISIKA DASAR 2ENGE600004

Rachmat Andika

Multiferroic Research Group

Departemen FisikaFMIPA - UI

THE NATURE OF LIGHT AND

THE LAWS OF

GEOMETRIC OPTICS

MATERI

The Nature of Light

Dualism of Light

The Speed of Light

Reflection and Refraction Total Internal Reflection

Dispersion

Huygens’s Principle

Fermat’s Principle

THE NATURE OF LIGHT

The light can propagate in a vacuum media

The light has a wave properties, such as Reflection

Refraction

In seeing something, the light has an important role

for our eyes

A rainbow is one of the product of light that dispersed

by rain/ water

HISTORICAL OF LIGHT

Newton Light was considered to be a stream of particles that was emitted by

the object

He could explain reflection and refraction

Huygens (1678) Wave theory could also explain reflection and refraction

Young (1801) Light rays interfere with each other and it couldn’t be explained by a

particle theory

Maxwell Light was a form of high-frequency electromagnetic waves

BUT ….

They could not explain some subsequent experiments,

such as

Where the constant of proportionality h = 6.63 x 10-34 Js

Photoelectric Effect

Max Planck (1900) → Einstein (1905)

The quantization model assumes that the energy of a

light wave is present in particles called photons

Is light a wave or

particle?

THE RAY APPROXIMATION IN

GEOMETRIC OPTICS

In the ray approximation, we assume that a wave moving through a

medium travels in a straight line in the direction of its rays

λ >> d, the rays continue in a straight-line path, and the ray

approximation remains valid

λ ≈ d, the rays spread out after passing through the opening λ << d, the opening behaves as a point source emitting spherical

WAVE FRONT

To simplify light as a wave

Wave front is every point on wave crest

REFLECTION

The direction of a reflected ray is in the plane

perpendicular to the reflecting surface that contains the

incident ray

Specular reflection on a

smooth surface

diffuse reflection on a

rough surface

LAW OF REFLECTION

THE DIFFERENT BETWEEN

REFLECTIONS

For diffuse reflection, the eyes could see the light

reflection on all angles

For specular reflection, the eyes should have to

on the right position with respect to the light

EXAMPLE

Two mirrors make an angle of 120o with each other. A

ray is incident on mirror M1 at an angle 65o to the

normal. Find the direction of the ray after it is

reflected from mirror M2?

REFRACTION

When a ray of light traveling through a transparent

medium encounters a boundary leading into another

transparent medium,part of energy isreflected andpart

enters the second medium

The ray that enters the secondmedium is bent at the boundary

A basic definition of refracted

(a) The light is bent toward the normal

The light is bent away from the normal

INDEX OF REFRACTION

In general, the speed of light in any material is less than its

speed in vacuum.

In fact, light travels at its maximum speed in vacuum.

Index of refraction is a dimensionless number greater than unity Becausev is always less thanc.

n is equal to unity for vacuum

SNELL’S LAW OF REFRACTION

As light travels from one medium to

another, its frequency does not change

but its wavelength

EXAMPLE

A beam of light of wavelength 550 nm traveling in air

is incident on a slab of transparent material. The

incident beam makes an angle of 40.0o with the

normal, and the refracted beam makes an angle of

with the normal. Find the index of refraction of the material

EXAMPLE

A light ray of wavelength 589 nm traveling through

air is incident on a smooth, flat slab of crown glass at

an angle of 30.0o to the normal Find the angle of refraction

EXAMPLE

A laser in a compact disc player generates light that

has a wavelength of 780 nm in air. Find the speed of this light once it enters the plastic of a

compact disc (n = 1.55)

What is the wavelength of this light in the plastic

Angle of deviation

HUYGEN’S

PRINCIPLE

All points on a given wave front are taken as point sources for theproduction of spherical secondary waves, calledwavelets, which

propagate outward through a medium with speeds characteristics of

waves in that medium.

After some time interval has passed, the new position of the wave front

is the surface tangent to the wavelets

DISPERSION AND PRISMS

Index of refraction varies with the wavelength of the light passing

through the material. “ Dispersion”

Snell’s law of refraction indicates that light of different wavelength isbent atdifferent angles when incident on a refracting material.

Angle of deviation is an angle between a ray of single wavelength

incident on the prism from the left emerges refracted from its original

direction of travel

Angle of

deviation

Visible spectrum

MEASURING INDEX OF

REFRACTION USING A PRISM

TOTAL INTERNAL REFLECTION

Total internal reflection can occur when light is

directed from a medium having a given index of

refraction toward one having alower index of

refraction

θc : critical angle

The refracted light ray

moves parallel to the

boundary, θ2 = 90o

EXAMPLE

Find the critical angle for an air-water boundary

FERMAT’S PRINCIPLE

Fermat’s principle states that when a light ray travels

between any two points, its path is the one that requiresthe smallest time interval

PIERRE DE FERMAT(1601-1665)

IMAGE FORMATION

MATERI

Images formed by flat mirrors

Images formed by spherical mirrors

Images formed by refraction

Thin LensesLens Aberrations

Optics Systems

IMAGES FORMED BY FLAT MIRRORS

Images are classified as areal orvirtual

A real image is formed when light rays pass through and diverge from

the image point

A virtual image is formed when the light rays do not pass through theimage point but only appear to diverge from that point

the image of an object seen in a

flat mirror isalways virtual

The image is as far behind the mirror as the object isin front

The image is unmagnified, virtual, and upright

The image has front-back reversal

IMAGES FORMED BY SPHERICAL

MIRRORS

Concave mirror Mirror, in which light is reflected from the inner, concave

surface

Concave mirror is sometimes called aconverging mirror,

because the rays from any point on an object converge after

reflection

IMAGES FORMED BY SPHERICAL

MIRRORS

Convex mirror Mirror, in which light is reflected from the outer, convex

surface

Convex mirror is sometimes called adiverging mirror,

because the rays from any point on an object diverge after

reflection

MIRROR EQUATION

fis focal length,

fis usually not the point at which the light rays focus to form an image.the focal point is determined by the curvature of the mirror

It doesn’t depend on the location of the object at all

Or doesn’t depend on the material of mirror

But it is different for lenses

The light actually passes through the

material and the focal length depends on the

type of material of the lens

RAY DIAGRAMS FOR MIRRORS

RAY DIAGRAM OF CONCAVE

MIRRORS

RAY DIAGRAM OF CONVEX MIRRORS

THIN LENSES

Lens makers’ equation

Lenses are used to form images by refraction

in optical instruments, such as cameras,

telescopes, and microscopes

RAY DIAGRAM FOR THIN LENSES

EXERCISE

Two thin converging lenses of focal lengths f1 = 10 cm

and f2 = 20 cm are separated by 20 cm. an object is

placed 30 cm to the left of lens 1. Find the position

and the magnification of the final image.

MK Fisika Dasar 2_Bab15

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