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Lab 2 Detection of Light

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PHY 5341
LAB 2: DETECTION OF LIGHT
Date of experiment: 02/06/2020
Lab # 002
Seonghyeon Yun
ha6324
Lab 2
PHY 5341
1
I. Objective
The purpose of this experiment is the following:
1) To introduce to the student several methods of quantitatively measuring the power of laser light
from a Helium-Neon (HeNe) laser
2) To introduce the concept of optical density
3) To introduce to the student the concept of AC signal detection with a lock-in amplifier
4) To show how the light from a laser source can be directed by introducing various optical
components into its pathlength.
5) To demonstrate the non-linear response of a photodiode and the concept of saturation.
II. Introduction
Various types of light sources are used extensively in today’s research environments. However,
the most sophisticated light source is of little use to any researcher or scientist if it cannot be measured
or manipulated to suit the user’s needs. In this experiment, a Helium-Neon laser will be used as the light
source. You will be measuring the power of your laser using a commercial digital power meter. You
will utilize neutral density filters to attenuate the beam (lessen the power). You will then utilize a fast
silicon photo-diode with a lock-in amplifier to measure the power of a “chopped” laser beam. Using the
neutral density filters, you will study the response of this photo-diode as a function of the incident laser
power.
shared chopper
Lock-in amplifier
Neutral-density
filter wheel
reference
HeNe laser
mirror
signal
50:50 glass
beam splitter
mirror
Si photodiode
location of
laser power
meter for ND
filter
measurement
(IIIA)
Lab 2
two locations of power
meter for beam splitter
calibration
(IIIB)
PHY 5341
2
III. Procedure
The apparatus will be set up similar to that shown in Figure 1.1 in order to perform the following
experiments.
Your optical setup consists of a Helium-neon laser operating at 633 nm, a neutral density filter wheel
consisting of 5 ND filters and one open window, a shared “chopping wheel” that looks like a fan blade,
two mirrors to redirect the laser, a power meter and a silicon photo-diode. Data sheets have been
provided for each student to record the data.
Part IIIA: Calibrate the Neutral Density Filters
A neutral density filter is a glass window that only transmits a fraction of the light incident upon
it. If the power of the laser incident upon the ND filter is given by P0 and the power transmitted through
the ND filter is given by P, then the optical density (OD) of the ND filter is given by:
𝐼0
𝑂𝐷 = log10 ( )
𝐼
You will calculate the OD of the 5 filters given to you by measuring the incident power and the
transmitted power. Note that the chopper wheel is NOT spinning in part IIIA. In fact, the wheel must
be positioned so that both lasers pass through the wheel unhindered. Also note that the ND filter wheel
needs to rotate two “clicks” for a new filter to be positioned in the beam. If you rotate it only one
“click” the beam is blocked: useful for measuring the background light!
1. “Zero” out the background light with your power meter by pressing the “” button on your
power meter.
2. Adjust your power meter until you reach the screen that has “Average Value” and “Std.
Deviation” measurements.
Please consult the user manual before asking your TA for help:
https://www.thorlabs.com/_sd.cfm?fileName=17654-D02.pdf&partNumber=PM100D
3. Measure the power of the laser beam with no filter in place using the optical power meter and
then insert one of the filters into the beam. Record these average powers and their standard
deviations on “Datasheet: IIIA.”
4. Repeat step 3 three times for each filter.
5. Calculate the OD for each set of measurements using the equation given above. Calculate the
standard deviation of your OD measurements via:
2
2
πœ•π‘ž
πœ•π‘ž
√
π›Ώπ‘ž = ( βˆ™ 𝛿π‘₯) + β‹― + ( βˆ™ 𝛿𝑧)
πœ•π‘₯
πœ•π‘§
Lab 2
PHY 5341
π‘€β„Žπ‘’π‘Ÿπ‘’ π‘ž = π‘ž(π‘₯, … , 𝑧)
3
Part IIIB: Calibrate the Beam splitter
A beam splitter is a coated glass window that only reflects a fraction of the light incident upon it
and transmits the rest (ignoring absorption in the glass). You should have a “fifty-fifty” or 50:50 beam
splitter which reflects about 50% of the light and transmits about 50% of the light.
1. Insert the beam splitter into your laser beam in such a way that the incident and reflected beams
are at roughly right angles to each other.
2. Measure the power of the laser beam transmitted through the beam splitter and the power
reflected off the face, using the same method for measuring the average and standard deviation
as before. Repeat each measurement three times.
3. Calculate the percentages that are reflected versus transmitted (with appropriate uncertainties).
For the remainder of the experiment as long as the beam splitter is not jostled, this ratio can be
assumed to remain constant.
Part IIIC: Measuring photodiode voltage using a lock-in amplifier.
With the chopper running, let the laser be incident on the photodiode. The signal from the
photodiode should go to the lock-in amplifier. The reference signal from the chopper should go to the
reference channel of the lock-in.
1. Look for signal. Adjust sensitivity so it is not overloading. This is done by selecting the “range”
on the lock-in. If there is too much power, the red “OVLD” (for overload) light will come on.
2. Check if the room lights affect the measured voltage. Confirm with your classmates and TA that
it is okay to turn on and off the room lights before doing so.
Part IIID: Determine the consistency between the power meter and the lock-in.
Repeat part IIIA using the lock-in instead of the power meter. This will give you a readout in
voltage. (Hint: Before you start, make sure that the range of light intensities you will be measuring are
all within the range of readable voltages on the lock-in.) Instead of getting the standard deviation of the
voltages for each measurement, as you did with the power meter, take the standard deviation of the three
voltage measurements with the lock-in as your error. Record your results on the appropriate table below.
Use your measurements from the power meter in IIIA and assume these are results perfect. Plot the
measured voltage from the lock-in versus the power measured by the power meter. Determine the linear
range at which a consistent change in power to the lock-in yields a consistent increase in measured
voltage. What is the power upon the lock-in that results in saturation of its detector and a lack of
linearity of the voltage? Ensure the power to lock-in’s detector is well within the linear range by
attenuating the beam, if necessary, and repeat IIIB using the lock-in instead of the power meter. How
does your results compare to IIIB?
IV. Summary of Results
1. Determine the optical density of your five ND filters. Report the result and how it was
measured.
Write down after the table
2. Determine the ratio in which the beam splitter splits the light from the laser. State explicitly the
percentage of light in each direction and how it was measured. Which measurement method is
more reliable?
The ration in which the beam splitter splits the light from the laser is reflected(57%) and
transmitted(43%) at the digital power meter measurement, reflected(56%) and transmitted(44%)
at the photo diode and lock in amplifier. So we can easily confirm that this beam splitter is not
Lab 2
PHY 5341
4
50:50 splitter. State right after the table.
Using a photo diode and Lock in amplifier is much more reliable because the % of uncertainty is
much less than using a digital power meter
3. Develop a calibration curve for the photo diode response (millivolts) as a function of incident
laser power (microwatts). [Use a log-log graph]
V. Questions to Consider in your Conclusion
1. Is this photodiode signal sensitive to room light? Should it be? Try turning the lights on and off
It is very sensitive to room light. This is because the voltage measured by photodiode depends on
(the photons number)/(Area). So if light is turned off, The Area where photon is entering will be
smaller than light on. This explain our result correct. In lights off, we can get much bigger value.
2. Below what power level is the photo diode linear?
Below the power level 2 the photo diode is linear. We can easily confirm that filter’s power level
is lower than 2 blue graph is linear. This means that this photo diode can accurately measure only
below filter’s power level2.
3. How has using the chopper helped in this experiment?
If light enters the photodiod continuously, recombination continues to occur in the
photodiodiode, which in turn results in a lack of electrons. However, the chopper allows the
alternation of recombination and generation to continuously measure the amount of photon per
unit area between the chopper cycles over time.
Lab 2
PHY 5341
5
Data Sheet: IIIA
Power
Transmitted
Power
δPower
Average
OD
𝛿𝑂𝐷
0
606.6πœ‡W
598.9 πœ‡W
594.9 πœ‡W
162.9 πœ‡W
175.9 πœ‡W
166.2 πœ‡W
57.30 πœ‡W
68.54 πœ‡W
57.32 πœ‡W
9.334 πœ‡W
10.50 πœ‡W
10.38 πœ‡W
4.753 πœ‡W
4.647 πœ‡W
4.723 πœ‡W
3.781 πœ‡W
3.709 πœ‡W
3.575 πœ‡W
19.66 πœ‡W
18.73 πœ‡W
18.52 πœ‡W
5.016 πœ‡W
4.860 πœ‡W
5.307 πœ‡W
714.1 𝑛W
1.940 πœ‡W
1.990 πœ‡W
74.05 𝑛W
389.1nW
391.8 𝑛W
43.71 𝑛W
63.30 𝑛W
58.29 𝑛W
101.3 𝑛W
100.5 𝑛W
118.5 𝑛W
0
0
0.552
0.022
0.992
0.020
1.775
0.023
2.105
0.0088
2.211
0.0214
1
2
3
4
5
𝐼0
𝑂𝐷 = log10 ( )
𝐼
Optical density can measure by this equation. 𝐼0 = < π‘‘β„Žπ‘’ π‘π‘œπ‘€π‘’π‘Ÿ π‘šπ‘’π‘Žπ‘ π‘’π‘Ÿπ‘’π‘‘ π‘€π‘–π‘‘β„Žπ‘œπ‘’π‘‘ π‘“π‘–π‘™π‘‘π‘’π‘Ÿ > = 600.1πœ‡π‘Š
π›Ώπ‘ž = √(
2
2
πœ•π‘ž
πœ•π‘ž
βˆ™ 𝛿π‘₯) + β‹― + ( βˆ™ 𝛿𝑧)
πœ•π‘₯
πœ•π‘§
𝛿𝑂𝐷 = √(
Lab 2
π‘€β„Žπ‘’π‘Ÿπ‘’ π‘ž = π‘ž(π‘₯, … , 𝑧)
2
2
πœ•π‘‚π·
𝑂𝐷−< 𝑂𝐷 >
βˆ™ π›Ώπ‘ƒπ‘œπ‘€π‘’π‘Ÿ) + β‹― = √(
βˆ™ π›Ώπ‘ƒπ‘œπ‘€π‘’π‘Ÿ) + β‹―
πœ•π‘ƒπ‘œπ‘€π‘’π‘Ÿ
π‘ƒπ‘œπ‘€π‘’π‘Ÿ−< π‘ƒπ‘œπ‘€π‘’π‘Ÿ >
PHY 5341
6
IIIB
Power Reflected
Power
Transmitted
π‘ƒπ‘Žπ‘£π‘”
π›Ώπ‘ƒπ‘Žπ‘£π‘”
343.3 πœ‡W
327.8 πœ‡W
383.4 πœ‡W
262.3 πœ‡W
254.2 πœ‡W
278.9 πœ‡W
389.3 𝑛W
5.993 πœ‡W
14.21 πœ‡W
1.463 πœ‡W
5.774 πœ‡W
9.455 πœ‡W
Average % of
beam
57.01%
% uncertainty
42.99%
2.10%
1.95%
Average Power reflected = (343.3+327.8+383.4)/3 = 351.50 πœ‡W
Average Power transmitted = (262.3+254.2+278.9)/3 = 264.97 πœ‡W
Average % of beam reflected = (Average Power reflected)/(Total Average Power) * 100 = (351.5)/(616.47) = 57.01%
Average % of beam transmitted = (Average Power transmitted)/(Total Average Power) * 100 = (264.97)/(616.47) = 42.99%
% of uncertainty = π›Ώπ‘ƒπ‘Žπ‘£π‘” /π‘ƒπ‘Žπ‘£π‘” *100
Data Sheets: IIIC
Lights on (mV)
Lights off (mV)
Data Sheets: IIID
Filter
0
1
Lab 2
29.32mV
56.37mV
Measured
Voltage
STD
34.09mV
33.72mV
34.40mV
25.31mV
0.278
Expected power
600.1 πœ‡W
0.156
PHY 5341
7
2
3
4
5
Lab 2
25.15mV
24.93mV
17.76mV
18.18mV
18.35mV
7.56mV
7.36mV
7.17mV
1.56mV
1.52mV
1.52mV
0.18mV
0.18mV
0.20mV
168.3 πœ‡W
0.248
61.03 πœ‡W
0.16
10.07 πœ‡W
0.019
4.708 πœ‡W
0.0094
3.688 πœ‡W
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Measured
Voltage
STD
Expected power
Reflected from
beam splitter
34.85mV
0.09
351.5
34.88mV
34.66mV
Transmitted
27.05mV
0.18
265.1
through beam
27.47mV
splitter
27.40mV
Average % of beam reflected = (Average Power reflected)/(Total Average Power) * 100
Average % of beam transmitted = (Average Power transmitted)/(Total Average Power) * 100
The Power is proportional to measured voltage.
Average of measured voltage of reflected = 34.80mV
Average of measured voltage of transmitted = 27.31mV
Average % of beam reflected = (Average measured voltage reflected)/(Total measured voltage)*100 = 34.80/62.11*100 = 56%
Average % of beam transmitted = (Average measured voltage tramsmitted)/(Total measured voltage)*100 = 27.3/62.11*100 = 44%
% of uncertainty = π›Ώπ‘ƒπ‘Žπ‘£π‘” /π‘ƒπ‘Žπ‘£π‘” *100
% of uncertainty of reflected from beam splitter = 0.09/34.80*100=0.259 %
% of uncertainty of transmitted from beam splitter = 0.18/27.31*100=0.659 %
Lab 2
PHY 5341
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