1Introduction
2Tables of the settlements
3E1Reflection on planar mirrorU17300/U17301
3E2Reflection on two planar mirrorsU17301
3E3aReflection of light rays on concave mirror – rays are parallel to optical axisU17300
4E3bReflection of light rays on concave mirror – rays are non-parallel
to optical axisU17300
4E4aReflection of light rays on convex mirror – rays are parallel to optical axisU17300
4E4bReflection of light rays on convex mirror – rays are non-parallel
to optical axisU17300
5E5aRefraction of light passing air-glass boundaryU17300
5E5bApparent depth of objectsU17301
5E6aRefraction of light passing glass-air boundaryU17300
6E6bRefraction on glass prism edgeU17300/U17301
6E6cCritical angle, total reflectionU17300
6E6dTotal reflection – propagating of light in optical fibresU17300
7E7Light ray shift by glass planparallel plateU17300/U17301
7E8Light ray shift by air planparallel plateU17301
7E9aGlass prism deviation of light rayU17300/U17301
8E9bGlass prism minimal deviationU17300/U17301
8E10aAir prism deviation of lightU17301
8E10bAir prism minimal deviationU17301
9E11aReflection of light on one edge of glass prismU17301
9E11bReflection of light on two edges of glass prismU17301
9E11cReflection of light on two glass prismsU17301
10E11dReflection of light on two glass prismsU17301
10E11eReflection of light on two glass prismsU17301
10E12Reflection of light on air prismsU17301
11E13aLight ray passing a convex air-glass boundaryU17301
11E13bLight beam passing through convex air-glass boundaryU17301
11E14aLight ray passing through concave air-glass boundaryU17301
12E14bLight beam passing through concave air-glass boundaryU17301
12E15aLight ray passing through convex glass-air boundaryU17301
12E15bLight beam passing through the glass-air boundaryU17301
13E16aLight ray tracing passing concave glass-air boundaryU17301
13E16bLight beam passing through concave glass-air boundaryU17301
13E17aLight beam passing through glass convex lens - beam is parallel
to the optical axisU17300/U17301
14E17bLight beam passing through glass convex lens – the rays are non-parallel
to the optical axisU17300/U17301
14E17cLight beam passing through thick glass convex lensU17301
14E18aLight beam passing through glass concave lens – the rays are parallel
to the optical axisU17300/U17301
16
15E18bLight beam passing through glass concave lens – the rays are non-parallel
to the optical axisU17300/U17301
15E19aLight beam passing through air convex lens – the rays are parallel
to the optical axisU17301
15E19bLight beam passing through air convex lens – the rays are non-parallel
to the optical axisU17301
16E20aLight beam passing through air concave lens – the rays are parallel
to the optical axisU17301
16E20bLight beam passing through air concave lens – the rays are non-parallel
to the optical axisU17301
16E21aParameters of thick lenses – determination of radius of curvatureU17300/U17301
17E21bParameters of thick lenses – focal lengthU17300/U17301
17E22aModel of a normal eyeU17300
17E22bModel of short-sighted eyeU17300
18E22cModel of long-sighted eyeU17300
18E23aCorrection of spherical aberration by reducing the beam diameterU17300/U17301
18E23bCorrection of spherical aberration by combination of lensesU17300
19E24aKeplerian telescopeU17300
19E24bGalileian telescopeU17300
19E25CameraU17300
The column "SET TO USE" informs you which set is appropriate for which experiment (either U17300, or U17301, or
both).
Introduction
The demonstration set U17300 was designed for easy
and clear demonstration of basic optical effects and
devices. Using diode laser as a light source for experiments enables both teacher and student to understand
the principle of simple and more complicated optical
systems. In this guide book you can find many basic
experiments and demonstrations using U17300 and
U17301, which is an additional set of optical elements
containing air lenses, air prisms etc. Every experiment
in this book has three parts:
1. A simple description of the experiment
2. A geometric diagram of the experiment
3. A diagram showing what the experiment
looks like when it is set up.
Shown in brackets under the title of the experiment is
whether it can be demonstrated with the U17300 or
U17301 set, or both. The same note can be find also in
the table of contents in the last row. It is clear now,
that some experiments cannot be done with U17300
and some of them with U17301.
A very important constituent of the experiments is the
LASER RAY BOX which consists of five laser diodes. Be
careful to avoid direct eye contact with the laser beam!
If you have basic set U17300 and you are interested in
realizing experiments for additional set U17301, please,
contact your distributor of didactic aids.
The law of reflection is demonstrated. When a light
ray impinges a plane mirror under an angle α it is reflected under the same angle ß
α = ß
Both angles are measured from the perpendicular line
to the mirror plane.
E3a Reflection of light rays on concave mirror –
rays are parallel to optical axis
(U17300)
The focal length f of the concave mirror is determined
by the length of the line VF. The curvature radius can
be obtained using the known formula:
fr=
2
The distance of the centre of curvature S is twice as
long as the distance of the focus F.
E2 Reflection on two planar mirrors
(U17301)
An interesting relation can be shown:
δ = 2 γ
where δ is the angle between the incident and the
reflected ray and γ is the angle between the mirrors'
planes.
E3b Reflection of light rays on concave mirror –
rays are non-parallel to optical axis
(U17300)
The axis ϕ which is perpendicular to the optical axis
and passes through the focus is referred as the focal
plane of the concave mirror. If the parallel rays impinge the mirror, they meet at one point of the axis ϕ
after the reflection. In the case of the rays parallel to
the optical axis, the point belongs to the axis and is
called the focus (F).
18
E4a Reflection of light rays on convex mirror –
rays are parallel to optical axis
(U17300)
The reflected rays, parallel to the optical axis, appear
to start from one point on the right side behind the
mirror. This point is referred to as the figure focus. The
length of line VF determines the focal length f of the
mirror. The radius of curvature can be obtained from
the next formula.
fr=
2
The distance of the centre of curvature S is two times
longer than the distance of the focus F.
E5a Refraction of light passing air-glass boundary
(U17300, transparency F)
If light passes through one optical medium characterized by refraction index n1 into the other with refraction index n2 its direction is changed by Snell’s law:
n
sin α = n
1
where α is an incidence angle in the medium n
sin ß
2
and
1
ß is an angle of refraction in the medium n2. The angles
are measured from the normal to the planar boundary.
Air
Acrylic
E4b Reflection of light rays on convex mirror –
rays are non-parallel to optical axis
(U17300)
The axis ϕ which is perpendicular to the optical axis
and passes through the focus is referred to as the focal
plane of the convex mirror. If parallel rays impinge
the mirror, they are scattered in such a way that they
appear to start from one point of the plane ϕ. In the
case of incidence rays parallel to the optical axis this
point belongs to the axis.
E5b Apparent depth of objects
(U17301)
You can build up the model of observing the depth of
objects in water or glass from air.
Pencil
Air
Acrylic
19
E6a Refraction of light passing glass-air boundary
(U17300, transparency F)
The ray is refracted with the refraction angle ß, which
is larger than α. The ray is bent away from the normal.
Acrylic
Air
E6b Refraction on glass prism edge
(U17300/U17301)
When light passes through glass to air, Snell’s law can
be written in the next form:
n
sin α = sin ß
1
Refractive index of air n2 = 1.
Acrylic
Air
E6d Total reflection – propagating of light in
optical fibres
(U17300)
If light enters the optical fibre under some angles it
propagates in it using the total reflection on the borders of the fibre. An important parameter determines
what angle should not be overcome. This parameter is
called the numerical aperture. It is SIN of the maximum entrance angle of the light. Also the minimal
radius of the fibre bent is set by this parameter. It
cannot be smaller, when the fibre is installed.
Acrylic
E6c Critical angle, total reflection
(U17300, transparency F)
The larger the incidence angle the larger the refraction angle. If n1 < n
a critical angle α exists. In other
2
words, the refracted ray lies on the border of two mediums. When the incidence angle is larger than the
critical angle, there is no more refracted light and all
light energy is reflected, this is called total reflection.
Acrylic
E7 Light ray shift by glass planparallel plate
(U17300/U17301)
If a light ray passes through a planparallel plate its
direction is not changed. The outgoing ray is shifted in
accordance with the incoming one. The shift d can be
estimated with respect to the thickness h of the plate
using the formula:
sin
αβ
−
dh=
()
cos
β
20
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