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Operation, The interferometer, The movable mirror – PASCO OS-8501 Interferometer User Manual

Page 8

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scientific

Interferometer

012-02675B

4

Operation

M1 (FIXED MIRROR)

M1 ALIGNMENT

SCREWS

MICROMETER

KNOB

M2 (MOVABLE MIRROR)

BEAM SPLITTER

where r is the radius of the lever post. The mirror is
therefore pulled away from the beam-splitter by the
amount, r 0.

In this way, a relatively large displacement of the lever
(d = R 0) results in a much smaller displacement of the
mirror (d

m

= r 0). By selecting appropriate values for

is controlled so that each

division on the micrometer dial corresponds to 1
micron of mirror movement.

Figure 3 INTERFEROMETER

Figure 4 MIRROR MOVEMENT MECHANISM

, the motion of M

and

r

R

2

MYLAR

STRIP

θ

r

θ

M2

r

θ

MICROMETER

KNOB

r

θ

R

d

The Interferometer

The Michelson Interferometer is shown in
Figure 3. The alignment of the beam-
splitter and the movable mirror, M

2

, is

easily adjusted by loosening the thumb-
screws that attach them to the interferom-
eter. The fixed mirror, M

1

, is mounted on

an alignment bracket. The bracket has two
alignment screws to adjust the angle of the
mirror.

The movement of M

2

toward and away

from the beam-splitter is controlled and
measured using the micrometer knob.
Each division of the knob corresponds to 1
micrometer
(10

-6

meter) of mirror movement.

The Movable Mirror

To measure the wavelength of light, the movement of
M

2

must be measurable for distances about 10

-6

meters. Also, as the mirror moves, its reflective
surface must remain perpendicular to the axis of the
incident light beam.

A taut-band carriage is used to maintain the alignment
of the reflective surface of M

2

as it moves. The mirror

is mounted in a cradle that is fixed to two semi-rigid
aluminum bands. With this set-up the mirror is free to
move, but its movement is constrained to a line
parallel with the beam axis.

The micrometer mechanism controls and measures the
movement of M

2

. The cradle of M

2

is attached to a

mylar strip that is attached to a lever arm. The dis-
placement of the lever is controlled with the microme-
ter knob.

Suppose the micrometer knob is turned so it pushes the
lever in by a distance d (see Figure 4). The angle of
the lever arm changes by an amount 0 such that d = R
tan 0
, as shown. Since the angle change is always
small,
R tan 0 = R 0, to a close approximation. This change
in the lever arm angle causes the mylar strip to be
pulled further around the lever post by an amount r 0,