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1
ЕВРО-АЗИАТСКОЕ СОТРУДНИЧЕСТВО ГОСУДАРСТВЕННЫХ МЕТРОЛОГИЧЕСКИХ УЧРЕЖДЕНИЙ (KOOMET)
EURO-ASIAN COOPERATION OF NATIONAL METROLOGICAL INSTITUTIONS (COOMET)
Report on RMO Supplementary Comparison
COOMET.L-S9
COOMET 440/RU/08
International comparison of stabilized He-Ne/I2 lasers at wavelength 633 nm
FINAL REPORT
by
Konstantin Chekirda, VNIIM (RU)
and
Aydar Dauletbaev, KazInMetr (KZ)
Vladimir Kupko, NSCIM (UA)
Vladimir Makarevich, BelGIM (BY)
Saint-Petersburg, Russia
March 2015
2
Comparison identifier: COOMET.L-S9
RMO Project identifier: COOMET 440/RU/08
Pilot laboratory: Scientific and research department of geometric measurements,
Federal state unitary enterprises "D.I. Mendeleev Institute for
Metrology" (VNIIM)
Saint-Petersburg
Russian Federation
Contact person: Konstantin Chekirda
VNIIM
Scientific and research department of geometric measurements
190005,
Russian Federation,
Saint-Petersburg,
Moscovsky pr. 19
Phone: 007 (812) 251-10-44
Fax: 007 (812) 323-96-64
E-mail: [email protected]
3
INTRODUCTION
Comparisons of frequency stabilized He-Ne/I2 lasers, which may be used as frequency or length
standards, have been carried out in accordance with the heterodyne method, accepted by the
International Committee of Weights and Measures. The method includes measurement of the lasers’
frequency stability and frequency reproducibility.
Since He-Ne/I2 lasers can reproduce different frequencies depending on which peak of the iodine-
127 hyperfine structure the laser frequency is locked to, it was decided that, in order to assess the
frequency reproduction of these lasers, they would be operated in such a way as to select the
hyperfine components of the same group which approximately match the centre of the laser tube
emission line.
The results of the reproducibility assessment are presented as a 4×4 matrix, which gives the
opportunity to define the difference between frequencies reproduced by the lasers, and also to
estimate the frequency separation between the hyperfine components in each of the He-Ne/I2 lasers.
Each matrix element represents an average of three beat-frequency measurements with a 10 s
averaging time; diagonal elements of the matrix that correspond to both lasers locked to the same
peak were not measured.
The off-diagonal results form a matrix of 12 frequency values, corresponding to 6 pairs of laser
beat-frequencies values The half-difference of the corresponding laser’s beat-frequency values are
the deviation metric of the frequencies of two lasers relative to each other, and the average value of
these half-differences gives and integral assessment of the laser’s frequency difference over the
whole group of the hyperfine components of the group in the series of measurements. The mean-
square deviation of the matrix half-differences can serve to some extent as a metric related to the
influence of the curvature of the Doppler amplification contour of Ne.
The average of the whole series of measurements represents the examined lasers frequency
difference accuracy, and mean-square deviation of all series of measurements represents a metric of
the stabilized laser’s frequency reproduction.
In accordance with the method of frequency stability measurement, accepted in the International
Committee of Weights and Measures and other leading metrological centers of the world, the
frequency stability is estimated through the use of "Allan deviation", which is a function of
averaging time. The averaging time is usually chosen as follows: 1 s, 10 s, 100 s, etc., and the
standard number of measurements is normally 100, unless otherwise stated. Allan deviation is
denoted as <σ(2,т)> and usually presented graphically as a function of averaging time.
The frequency stability measurement of He-Ne/I2 lasers is carried out over any pair of components
of the defg hyperfine multiplet of iodine absorption line at the averaging time multiple of 10 s. 101
values of consequent readings of the frequency meter were registered in order to retrieve 100 pairs
of data for Allan deviation evaluation at the averaging time 10 s. Further a number of frequency
beats values is registered at the averaging time 100 s and etc. Data obtained at the averaging time τ
4
can be used for Allan deviation evaluation at the interim averaging time values (2τ, 3τ etc.) at the
corresponding reduction of number of measurement pairs.
The results of the frequency stability research are usually presented graphically, where Allan
deviation is shown related to the averaging time or, less frequently, in a tabulated form.
1. DETAILS OF PARTICIPANTS
The project goal was to confirm the declared measuring capabilities of these frequencies and to
determine degree of equivalence of the national length measurement standards of the participating
countries.
№ COUNTRY / NMI CONTACT PERSON / ADDRESS
1 Russian Federation (Pilot NMI)
Federal state unitary enterprises
"D.I. Mendeleev Institute for
Metrology" (VNIIM)
Konstantin Chekirda
Scientific and research department of geometric
measurements
Moscovsky pr. 19, Saint-Petersburg, Russian
Federation, 190005
Phone: 007 (812) 251-10-44
Fax: 007 (812) 323-96-64
E-mail: [email protected]
2 Ukraine
National Scientific Centre "Institute
of Metrology" (NSC IM)
Vladimir Kupko
Scientific Centre of Space-Time Measurements
Mironositskaya str., 42, Kharkov, Ukraine, 61002
Phone: 0038 (057) 704-98-54
Fax: 0038 (057) 700-34-47
E-mail: [email protected]
3 Belarus
Republican Unitary Enterprise
"Belorussian State Institute of
Metrology" (BelGIM)
Vladimir Makarevich
Production and research department of geometric
quantities measurements
Starovilensky trakt, 93, Minsk, Belarus, 220053
Phone: 00375 (17) 233-35-82
Fax: 00375 (17) 288-09-38
E-mail: [email protected]
4 Kazakhstan
Republican governmental
enterprise "Kazakhstan Institute of
Metrology" (KazInMetr)
Aydar Dauletbaev
Left bank of the River Ishim, Orynbor Str., 11, Astana,
Kazakhstan, 010000
Phone: 007 (172) 79-33-63
E-mail: [email protected]
5
2. ORGANIZATION OF THE COMPARISON
2.1 The comparison objective is to determine the degree of equivalence of national measurement
standards.
2.2 The Comparison format was a circular comparison
2.3 Comparison dates
The lasers of the national institutes have been delivered to the "D.I. Mendeleev Institute for
Metrology" during the period from June 2009 to September 2011 in order to take part in COOMET
comparisons project 440. The comparisons of the lasers frequencies were carried out in accordance
with the comparison’s technical protocol.
3. MEASUREMENT PROCEDURE
3.1 Measurement conditions:
– Environmental temperature, °С 20 ± 0,5;
– Atmosphere absolute pressure, mm Hg 760 ± 30;
– Atmospheric relative humidity, RH % 60 ± 20.
3.2 Measurements of the He-Ne/I2 lasers’ frequency reproduction
Frequency reproduction measurements were carried out over a period of several days with several
series of measurements each day.
During the frequency reproduction investigations of the He-Ne/I2 lasers the influence variables were
maintained within the values, defined by the international specification:
- temperature of the iodine cell cold finger (15 ± 0,2) °С,
- temperature of cell walls in the cavity (25 ± 5) °С,
- optical frequency modulation width (6 ± 0,3) MHz,
- radiation power in the cavity (10 ± 5) mW.
Three values of frequency beats were recorded at the averaging time 10 s.
The results of the frequency reproducibility assessment are presented as a 4×4 matrix, of which
elements on the main diagonal that relate to both lasers being adjustment to operate on the same
peaks, are not registered. The half-differences of beat-frequency values of lasers were estimated.
The mean value of half-differences of the corresponding beat-frequency values of lasers was
estimated. The mean-square deviation of the matrix half-differences was estimated. The average
over all series of measurements is calculated. The root mean-square deviation of all series of
measurements is estimated.
3.3 Measurement of frequency stability (wavelength) of the laser
The consecutive "n" values of the frequency meter's indications were registered in order to obtain
"n-1" data pairs for Allan deviation evaluation at the averaging time 10 s.
6
Analytically, Allan deviation can be set out as:
where <σ (2,τ)> is the Allan deviation,
τ is the averaging time,
n is the number of measurement pairs,
vi+1 and vi are consecutive beat-frequency values.
Accumulation was carried out over all frequency beat values.
The results of the frequency stability investigations are presented graphically, where Allan deviation
is shown related to the averaging time and also in a tabulated form.
4 MEASUREMENT RESULTS SUMMARY
A summary of the overall results is given in the following table. The detailed results for each pair of
laser comparisons are given in the appendix.
Compared lasers Frequency
difference, kHz
Root-Mean-square
deviation of
frequency
difference, kHz
Allan Deviation
VNIIM02-BelGIM
(The Republic of
Belarus, Minsk)
+3,0 0,9 5,72.10
-12 at =10 s
1,64.10
-12 at =160 s
VNIIM02-
KazInMetr
(The Republic of
Kazakhstan,
Astana)
– 0,6 1,2 3,77.10
-12 at =10 s
1,05.10
-12 at =160 s
VNIIM02-
NSC IM (Ukraine,
Kharkov)
+12,5 4,5 5,15.10
-12 at =10 s
2,83.10
-12 at =128 s
< (2,)>1
2n1
n
i
i 1 i 2
7
Appendix 1
Report on comparison of lasers VNIIM02 - BelGIM
VNIIM (Russian Federation) laser - He-Ne/I2 laser VNIIM02.
The laser is one of those used as State primary standard of the length unit. The laser participated in
the CCL-K11 comparisons. The frequency value 473 612 353 603.6 kHz, is given in the BIPM
certificate №8.
BelGIM (The Republic of Belarus) laser - He-Ne/I2 laser BelGIM.
The laser is one of those used as the national standard of the length unit of Belarus.
VNIIM02 laser specifications
Parameter description Value
Wavelength, μm 0,633
Cavity length, mm 330
Reflectors transmittivity, % 1,1; 1,1
Radius of curvature of reflectors, mm 1000; 1500
Length of active element, mm 210
Manufacturer VNIIM (Russian Federation)
Iodine cell length, mm 100
Manufacturer BIPM
BelGIM laser specifications
Parameter description Value
Wavelength, μm 0,633
Cavity length, mm 330
Reflectors transmittivity, % 1,0: 1,0
Radius of curvature of reflectors, mm 1000; 1500
Length of active element, mm 210
Manufacturer VNIIM (Russian Federation)
Iodine cell length, mm 100
Manufacturer BIPM
Measurement conditions:
Environmental temperature, °С 20±1
Atmosphere relative humidity, % 60±20
Environmental temperature variability per hour less than or equal to, ºС 0,2
8
Date: 21 July 2009
Time: 14:20
Lasers comparisons
№1 VNIIM
№2 BelGIM
№1 №2
Iodine cell appendix temperature, °С 15,0 15,0
Laser radiation power, μW 85 90
=30 s
f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the
mean of these three values (MHz), is the standard deviation of the three values, and f is the
frequency difference between the two lasers.
№1/№2 d e f g
d
f1=12,8660
f2=12,8665
f3=12,8671
fср=12,8662
=0,5 kHz
f=+2,1 kHz
f1
f2
f3
fср
=0,7 kHz
f=+4,1 kHz
f1=39,4309
f2=39,4315
f3=39,4295
fср=39,4306
=1,0 kHz
f=+2,6 kHz
e
f1
f2
f3
fср=12,8619
=0,4 kHz
f1
f2
f3
fср=13,3659
=0,8 kHz
f=+2,5 kHz
f1
f2
f3
fср=26,5663
=1,2 kHz
f=+2,7 kHz
f
f1
f2
f3
fср=26,2238
=0,9 kHz
f1
f2
f3
fср=13,3608
=0,9 kHz
f1
f2
f3
fср=13,2020
=1,3 kHz
f=+3,2 kHz
g
f1
f2
f3
fср=39,4253
=0,6 kHz
f1
f2
f3
fср=26,5610
=1,1 kHz
f1
f2
f3
fср=13,1956
=0,9 kHz
Overall mean frequency difference, f(№1) – f(№2) = + 2,8 kHz
Overall mean standard deviation of frequency differences, = 0,7 kHz
9
Date: 23 July 2009
Time: 11:30
Lasers comparison
№1 VNIIM
№2 BelGIM
№1 №2
Iodine cell appendix temperature, °С 15,1 15,0
Laser radiation power, μW 85 90
=30 s
f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the
mean of these three values (MHz), is the standard deviation of the three values, and f is the
frequency difference between the two lasers.
№1/№2 d e f g
d
f1=12,8672
f2=12,8683
f3=12,8663
fср=12,8672
=1,0 kHz
f=+2,6 kHz
f1=26,2315
f2=26,2333
f3=26,2338
fср=26,2328
=1,2 kHz
f=+4,9 kHz
f1=39,4318
f2=39,4321
f3=39,4303
fср=39,4314
=0,9 kHz
f=+2,6 kHz
e
f1=12,8623
f2=12,8608
f3=12,8626
fср=12,8619
=0,9 kHz
f1=13,3671
f2=13,3669
f3=13,3645
fср=13,3659
=+1,4 kHz
f=3,1 kHz
f1=26,5674
f2=26,5676
f3=26,5648
fср=26,5666
=+1,6 kHz
f=2,4 kHz
f
f1=26,2228
f2=26,2223
f3=26,2241
fср=26,2230
=0,9 kHz
f1=13,3600
f2=13,3607
f3=13,3585
fср=13,3596
=1,0 kHz
f1=13,2012
f2=13,2010
f3=13,2021
fср=13,2014
=0,6 kHz
f=+2,5 kHz
g
f1=39,4255
f2=39,4253
f3=39,4278
fср=39,4262
=1,3 kHz
f1=26,5618
f2=26,5611
f3=26,5627
fср=26,5618
=0,8 kHz
f1=13,1958
f2=13,1972
f3=13,1960
fср=13,1963
=0,8 kHz
Overall mean frequency difference, f(№1) – f(№2) = + 3,0 kHz
Overall mean standard deviation of frequency differences, = 1,0 kHz
10
Date: 24 July 2009
Time: 10:30
Lasers comparison
№1 VNIIM
№2 BelGIM
№1 №2
Iodine cell appendix temperature, °С 15,0 15,0
Laser radiation power, μW 85 90
=30 s
f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the
mean of these three values (MHz), is the standard deviation of the three values, and f is the
frequency difference between the two lasers.
№1/№2 d e f g
d
f1=12,8653
f2=12,8655
f3=12,8675
fср=12,8661
=1,2 kHz
f=+2,2 kHz
f1=26,2325
f2=26,2337
f3=26,23110
fср=26,2324
=1,3 kHz
f=+4,4 kHz
f1=39,4318
f2=39,4323
f3=39,4327
fср=39,4322
=0,4 kHz
f=+3,7 kHz
e
f1=12,8613
f2=12,8631
f3=12,8607
fср=12,8617
=1,2 kHz
f1=13,3679
f2=13,3649
f3=13,3651
fср=13,3660
=2,0 kHz
f=+2,5 kHz
f1=26,5665
f2=26,5680
f3=26,5676
fср=26,5673
=0,8 kHz
f=+3,7 kHz
f
f1=26,2230
f2=26,2229
f3=26,2248
fср=26,2235
=1,1 kHz
f1=13,3627
f2=13,3600
f3=13,3633
fср=13,3620
=1,7 kHz
f1=13,2025
f2=13,2016
f3=13,2039
fср=13,2027
=1,1 kHz
f=+3,2 kHz
g
f1=39,4245
f2=39,4233
f3=39,4268
fср=39,4248
=1,7 kHz
f1=26,5595
f2=26,5591
f3=26,5611
fср=26,5599
=1,0 kHz
f1=13,1947
f2=13,1972
f3=13,1968
fср=13,1962
=1,3 kHz
Overall mean frequency difference, f(№1) – f(№2) = + 3,3 kHz
Overall mean standard deviation of frequency differences, = 0,8 kHz
11
Date: 24 July 2009
Time: 14:30
Allan deviation
Tau/s Allan Deviation
10 5,7213084×10-12
20 4,1117394×10-12
40 2,6484139×10-12
80 1,6494879×10-12
160 6,9892652×10-13
12
Appendix 2
Report on comparison of lasers VNIIM02 - KazInMetr
VNIIM (Russian Federation) laser - He-Ne/I2 laser VNIIM02.
The laser is one of those used as the State primary standard of the length unit. The laser participated
in the CCL-K11 comparisons. The frequency value 473 612 353 603.6 kHz, is given in BIPM
certificate № 8.
KazInMetr (The Republic of Kazakhstan) laser - He-Ne/I2 laser Winters-100, №227. The laser is
one of those used as the State primary standard of the length unit of the Republic of Kazakhstan.
VNIIM02 laser specifications
Parameter description Value
Wavelength, μm 0,633
Cavity length, mm 330
Reflectors transmittivity, % 1,1; 1,1
Radius of curvature of reflectors, mm 1000; 1500
Length of active element, mm 210
Manufacturer VNIIM (Russian Federation)
Iodine cell length, mm 100
Manufacturer BIPM
KazInMetr laser specification (Winters – 100, № 227)
Parameter description Value
Wavelength, μm 0,633
Cavity length, mm 265
Reflectors transmittivity, % front (outlet) 0,7 %, rear-end 0,25 %
Radius of curvature of reflectors, mm front (outlet) 300, rear-end plane
Length of active element, mm 155
Manufacturer Winters Electro-Optics, Inc (USA)
Iodine cell length, mm 100
Manufacturer BIPM
Measurement conditions:
Environmental temperature, °С 20 ± 1
Atmosphere relative humidity, % 60 ± 20
Environmental temperature variability per hour less than or equal to, °С 0,2
13
Date: 18 November 2009
Time: 16:30
Lasers comparison
№1 VNIIM
№2 KazInMetr
№1 №2
Iodine cell appendix temperature, С 15,0 15,0
Laser radiation power, μW 103 101
=30 s
f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the
mean of these three values (MHz), is the standard deviation of the three values, and f is the
frequency difference between the two lasers.
№1/№2 d e f g
d
f1=12,8610
f2=12,8585
f3=12,8593
fср=12,8596
=1,3 kHz
f=+2,8 kHz
f1=26,2204
f2=26,2212
f3=26,2199
fср=26,2205
=0,6 kHz
f=+3,0 kHz
f1=39,4205
f2=39,4187
f3=39,4200
fср=39,4197
=0,9 kHz
f=+2,1 kHz
e
f1=12,8646
f2=12,8655
f3=12,8660
fср=12,8654
=0,7 kHz
f1=13,3620
f2=13,3640
f3=13,3606
fср=13,3622
=1,7 kHz
f=+0,6 kHz
f1=26,5600
f2=26,5607
f3=26,5613
fср=26,5607
=0,6 kHz
f=-0,1 kHz
f
f1=26,2271
f2=26,2264
f3=26,2259
fср=26,2265
=0,6 kHz
f1=13,3625
f2=13,3638
f3=13,3639
fср=13,3634
=0,8 kHz
f1=13,1989
f2=13,1989
f3=13,2004
fср=13,1994
=0,9 kHz
f=+-1,3 kHz
g
f1=39,4233
f2=39,4228
f3=39,4258
fср=39,4240
=1,6 kHz
f1=26,5604
f2=26,5595
f3=26,5616
fср=26,5605
=1,0 kHz
f1=13,1992
f2=13,1957
f3=13,1955
fср=13,1968
=2,0 kHz
Overall mean frequency difference, f(№1) – f(№2) = + 1,2 kHz
Overall mean standard deviation of frequency differences, = 1,0 kHz
14
Date: 19 November 2009
Time: 11:15
Lasers Comparison
№1 VNIIM
№2 KazInMetr
№1 №2
Iodine cell appendix temperature, °С 15,1 15,0
Laser radiation power, μW 103 101
=30 s
f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the
mean of these three values (MHz), is the standard deviation of the three values, and f is the
frequency difference between the two lasers.
№1/№2 d e f g
d
f1=12,8629
f2=12,8641
f3=12,8657
fср=12,8642
=1,4 kHz
f=-0,5 kHz
f1=26,2277
f2=26,2276
f3=26,2260
fср=26,2271
=0,9 kHz
f=-0,2 kHz
f1=39,4274
f2=39,4265
f3=39,4280
fср=39,4273
=0,8 kHz
f=-0,9 kHz
e
f1=12,8643
f2=12,8624
f3=12,8629
fср=12,8632
=1,0 kHz
f1=13,3633
f2=13,3652
f3=13,3648
fср=13,3644
=1,0 kHz
f=-2,2 kHz
f1=26,5679
f2=26,5695
f3=26,5681
fср=26,5685
=0,9 kHz
f=-0,8 kHz
f
f1=26,2270
f2=26,2261
f3=26,2271
fср=26,2267
=0,6 kHz
f1=13,3601
f2=13,3598
f3=13,3600
fср=13,3600
=0,2 kHz
f1=13,2067
f2=13,2015
f3=13,2035
fср=13,2039
=2,6 kHz
f=-5,2 kHz
g
f1=39,4262
f2=39,4246
f3=39,4257
fср=39,4255
=0,8 kHz
f1=26,5574
f2=26,5567
f3=26,5562
fср=26,5668
=0,6 kHz
f1=13,1929
f2=13,1948
f3=13,1925
fср=13,1934
=1,2 kHz
Overall mean frequency difference, f(№1) – f(№2) = -1,6 kHz
Overall mean standard deviation of frequency differences, = 1,3 kHz
15
Date: 24 November 2009
Time: 10:30
Lasers comparison
№1 VNIIM
№2 KazInMetr
№1 №2
Iodine cell appendix temperature, °С 15,0 15,0
Laser radiation power, μW 103 101
=30 s
f1 to f3 are the three repeated measurements of beat-frequency half-differences (MHz), fср is the
mean of these three values (MHz), is the standard deviation of the three values, and f is the
frequency difference between the two lasers.
№1/№2 d e f g
d
f1=12,8652
f2=12,8615
f3=12,8657
fср=12,8641
=2,3 kHz
f=-0,1 kHz
f1=26,2278
f1=26,2252
f3=26,2288
fср=26,2273
=1,8 kHz
f=+0,9 kHz
f1
f1
f3
fср
=0,9 kHz
f=-0,3 kHz
e
f1=12,8638
f2=12,8636
f3=12,8642
fср=12,8639
=0,3 kHz
f1=13,3658
f2=13,3653
f3=13,3660
fср=13,3657
=0,4 kHz
f=-2,9 kHz
f1=26,5642
f2=26,5646
f3=26,5656
fср=26,5648
=0,7 kHz
f=-3,4 kHz
f
f1=26,2305
f2=26,2289
f3=26,2282
fср=26,2292
=1,2 kHz
f1=13,3602
f2=13,3597
f3=13,3599
fср=13,3599
=0,3 kHz
f1=13,2035
f2=13,2015
f3=13,2029
fср=13,2026
=1,0 kHz
f=-3,3 kHz
g
f1=39,4251
f2=39,4256
f3=39,4249
fср=39,4252
=0,4 kHz
f1=26,5569
f2=26,5574
f3=26,5595
fср=26,5579
=1,3 kHz
f1=13,1958
f2=13,1967
f3=13,1954
fср=13,1960
=0,7 kHz
Overall mean frequency difference, f(№1) – f(№2) = -1,5 kHz
Overall mean standard deviation of frequency differences, = 1,2 kHz
16
Date: 19 November 2009
Time: 14:30
Allan deviation
Tau/s Allan Deviation
10 3.7785004×10-12
20 2.6377512×10-12
40 1.9370340×10-12
80 1.2787984×10-12
160 1.0481870×10-12
320 4.8244407×10-13
Allan Dev Lower Bound Upper Bound
Allan STD DEV
Produced by AlaVar 5.2
s 1 10
3,8E-12
2,6E-12
1,9E-12
1,3E-12
1E-12
4,8E-13
17
Appendix 3
Report on comparison of lasers VNIIM02 - NSC «Institute of Metrology»
VNIIM (Russian Federation) laser - He-Ne/I2 laser VNIIM02.
The laser is one of those used as the State primary standard of the length unit. The laser participated
in the CCL-K11 comparisons. The frequency value 473 612 353 603.6 kHz, is given in BIPM
certificate № 8.
NSC «Institute of Metrology» - He-Ne/I2 laser.
The laser is one of those used as the State primary standard of the length unit of the Ukraine.
VNIIM02 laser specifications
Parameter description Value
Wavelength, μm 0,633
Cavity length, mm 330
Reflectors transmittivity, % 1,1; 1,1
Radius of curvature of reflectors, mm 1000; 1500
Length of active element, mm 210
Manufacturer VNIIM (Russian Federation)
Iodine cell length, mm 100
Manufacturer BIPM
NSC «Institute of Metrology» laser specification
Parameter description Value
Wavelength, μm 0,633
Cavity length, mm 250
Reflectors transmittivity, % 0,2: 1,5
Radius of curvature of reflectors, mm 509: 509
Length of active element, mm 138
Manufacturer Ukraine
Iodine cell length, mm 65
Manufacturer Ukraine
Measurement conditions:
Environmental temperature, °С 20 ± 1
Atmosphere relative humidity, % 60 ± 20
Environmental temperature variability per hour less than or equal to, °С 0,2
18
Date: 22 September 2011
MEASUREMENT PROTOCOL Lasers comparison
№1 VNIIM
№2 NSC «Institute of Metrology»
Place
"D.I. Mendeleev Institute for Metrology" (VNIIM), Saint-Petersburg.
Measurement conditions
Environmental temperature 19,5 ºС.
Atmosphere relative humidity 54 %.
Atmospheric pressure 1002,8 hPa.
Lasers frequency measurement results
№ 1 – VNIIM laser
№ 2 – NSC IM laser (Ukraine, Kharkov)
Table 1. δf is the frequency difference between the two lasers is the standard deviation of the
frequency differences.
№ 1
№ 2 d e f g
d
12882 kHz
12874 kHz
12873 kHz
12874 kHz
12878 kHz
δf=14,0 kHz
=3,8 kHz
26236 kHz
26231 kHz
26240 kHz
26236 kHz
26237 kHz
δf=12,0 kHz
=3,2 kHz
39434 kHz
39427 kHz
39426 kHz
39432 kHz
39433 kHz
δf=10,5 kHz
=3,6 kHz
e
12836 kHz
12850 kHz
12855 kHz
12864 kHz
12836 kHz
13372 kHz
13377 kHz
13370 kHz
13370 kHz
13380 kHz
δf=12,5 kHz
=4,5 kHz
26582 kHz
26568 kHz
26564 kHz
26566 kHz
26571 kHz
δf=13,5 kHz
=7,1 kHz
f
26210 kHz
26216 kHz
26213 kHz
26215 kHz
26208 kHz
13345 kHz
13348 kHz
13356 kHz
13351 kHz
13346 kHz
13212 kHz
13209 kHz
13210 kHz
13221 kHz
13210 kHz
δf=13,0 kHz
=4,9 kHz
g
39410 kHz
39413 kHz
39409 kHz
39407 kHz
39408 kHz
26537 kHz
26549 kHz
26547 kHz
26543 kHz
26540 kHz
13190 kHz
13185 kHz
13185 kHz
13183 kHz
13182 kHz
Mean value of all δf values, Δfср= + 12,6 kHz
19
Mean of all standard deviation values, ср = 4,5 kHz
20
Date: 22 September 2011
MEASUREMENT PROTOCOL
Allan deviation
VNIIM2 laser
NSC «Institute of Metrology» laser
Tau/s Allan Deviation
1 1.0034061×10-11
2 7.0773610×10-12
4 5.7062042×10-12
8 5.1481672×10-12
16 5.2388175×10-12
32 3.5696095×10-12
64 2.4040999×10-12
128 2.8337016×10-12
Allan Dev. Lower Bound Upper Bound
Allan STD DEV
Produced by AlaVar 5.2
s 1 10 100
1E-12
1E-11