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Very-long-baseline interferometry

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Very-long-baseline interferometry ( VLBI ) is a type of astronomical interferometry used in radio astronomy . In VLBI a signal from an astronomical radio source , such as a quasar , is collected at multiple radio telescopes on Earth or in space. The distance between the radio telescopes is then calculated using the time difference between the arrivals of the radio signal at different telescopes. This allows observations of an object that are made simultaneously by many radio telescopes to be combined, emulating a telescope with a size equal to the maximum separation between the telescopes.

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83-733: Data received at each antenna in the array include arrival times from a local atomic clock , such as a hydrogen maser . At a later time, the data are correlated with data from other antennas that recorded the same radio signal, to produce the resulting image. The resolution achievable using interferometry is proportional to the observing frequency. The VLBI technique enables the distance between telescopes to be much greater than that possible with conventional interferometry , which requires antennas to be physically connected by coaxial cable , waveguide , optical fiber , or other type of transmission line . The greater telescope separations are possible in VLBI due to

166-419: A modulated signal at the detector. The detector's signal can then be demodulated to apply feedback to control long-term drift in the radio frequency. In this way, the quantum-mechanical properties of the atomic transition frequency of the caesium can be used to tune the microwave oscillator to the same frequency, except for a small amount of experimental error . When a clock is first turned on, it takes

249-465: A second : The second, symbol s, is the SI unit of time. It is defined by taking the fixed numerical value of the caesium frequency, Δ ν Cs {\displaystyle \Delta \nu _{\text{Cs}}} , the unperturbed ground-state hyperfine transition frequency of the caesium-133 atom, to be 9 192 631 770 when expressed in the unit Hz, which is equal to s . This definition

332-576: A 10-meter radio telescope Spektr-R , was launched in July 2011 and made observations until January 2019. It was placed into a highly elliptical orbit, ranging from a perigee of 10,652 km to an apogee of 338,541 km, making RadioAstron, the SVLBI program incorporating the satellite and ground arrays, the biggest radio interferometer to date. The resolution of the system reached 8 microarcseconds . The International VLBI Service for Geodesy and Astrometry ( IVS )

415-483: A GPS time standard. Alongside the astronomical data samples, the output of this clock is recorded. The recorded media are then transported to a central location. More recent experiments have been conducted with "electronic" VLBI (e-VLBI) where the data are sent by fibre-optics (e.g., 10 Gbit/s fiber-optic paths in the European GEANT2 research network) and not recorded at the telescopes, speeding up and simplifying

498-401: A caesium or rubidium clock, the beam or gas absorbs microwaves and the cavity contains an electronic amplifier to make it oscillate. For both types, the atoms in the gas are prepared in one hyperfine state prior to filling them into the cavity. For the second type, the number of atoms that change hyperfine state is detected and the cavity is tuned for a maximum of detected state changes. Most of

581-404: A device just a few millimeters across. Metrologists are currently (2022) designing atomic clocks that implement new developments such as ion traps and optical combs to reach greater accuracies. An atomic clock is based on a system of atoms which may be in one of two possible energy states. A group of atoms in one state is prepared, then subjected to microwave radiation. If the radiation

664-630: A flight in March 1963, when a glowing ball of light was created inside the aircraft following a lightning strike. After retirement he was appointed as the emeritus professor of physical electronics at the University of Kent. He died on 29 December 2006. The building which he helped design to house the Electronics Laboratory, now the seat of the School of Engineering and Digital Arts, was named after him by

747-617: A frequency uncertainty of 9.4 × 10 . At JILA in September 2021, scientists demonstrated an optical strontium clock with a differential frequency precision of 7.6 × 10 between atomic ensembles separated by 1 mm . The second is expected to be redefined when the field of optical clocks matures, sometime around the year 2030 or 2034. In order for this to occur, optical clocks must be consistently capable of measuring frequency with accuracy at or better than 2 × 10 . In addition, methods for reliably comparing different optical clocks around

830-404: A global network of antennas over a period of time. In VLBI, the digitized antenna data are usually recorded at each of the telescopes (in the past this was done on large magnetic tapes, but nowadays it is usually done on large arrays of computer disk drives). The antenna signal is sampled with an extremely precise and stable atomic clock (usually a hydrogen maser ) that is additionally locked onto

913-504: A major review (Ludlow, et al., 2015) that lamented on "the pernicious influence of the Dick effect", and in several other papers. The core of the traditional radio frequency atomic clock is a tunable microwave cavity containing a gas. In a hydrogen maser clock the gas emits microwaves (the gas mases ) on a hyperfine transition, the field in the cavity oscillates, and the cavity is tuned for maximum microwave amplitude. Alternatively, in

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996-449: A much higher Q than mechanical devices. Atomic clocks can also be isolated from environmental effects to a much higher degree. Atomic clocks have the benefit that atoms are universal, which means that the oscillation frequency is also universal. This is different from quartz and mechanical time measurement devices that do not have a universal frequency. A clock's quality can be specified by two parameters: accuracy and stability. Accuracy

1079-428: A much smaller power consumption of 125  mW . The atomic clock was about the size of a grain of rice with a frequency of about 9 GHz. This technology became available commercially in 2011. Atomic clocks on the scale of one chip require less than 30  milliwatts of power . The National Institute of Standards and Technology created a program NIST on a chip to develop compact ways of measuring time with

1162-406: A precision of 10 . Optical clocks are a very active area of research in the field of metrology as scientists work to develop clocks based on elements ytterbium , mercury , aluminum , and strontium . Scientists at JILA demonstrated a strontium clock with a frequency precision of 10 in 2015. Scientists at NIST developed a quantum logic clock that measured a single aluminum ion in 2019 with

1245-643: A radio interferometer, but it only became widely used for long-baseline radio interferometry in 1974. At least three antennas are required. This method was used for the first VLBI measurements, and a modified form of this approach ("Self-Calibration") is still used today. Some of the scientific results derived from VLBI include: There are several VLBI arrays located in Europe , Canada , the United States , Chile , Russia , China , South Korea , Japan , Mexico , Australia and Thailand . The most sensitive VLBI array in

1328-415: A range of clocks. These are operated independently of one another and their measurements are sometimes combined to generate a scale that is more stable and more accurate than that of any individual contributing clock. This scale allows for time comparisons between different clocks in the laboratory. These atomic time scales are generally referred to as TA(k) for laboratory k. Coordinated Universal Time (UTC)

1411-470: A side effect with a light shift of the resonant frequency. Claude Cohen-Tannoudji and others managed to reduce the light shifts to acceptable levels. Ramsey developed a method, commonly known as Ramsey interferometry nowadays, for higher frequencies and narrower resonances in the oscillating fields. Kolsky, Phipps, Ramsey, and Silsbee used this technique for molecular beam spectroscopy in 1950. After 1956, atomic clocks were studied by many groups, such as

1494-442: A very low uncertainty. These primary frequency standards estimate and correct various frequency shifts, including relativistic Doppler shifts linked to atomic motion, the thermal radiation of the environment ( blackbody shift) and several other factors. The best primary standards currently produce the SI second with an accuracy approaching an uncertainty of one part in 10 . It is important to note that at this level of accuracy,

1577-538: A very-long-baseline interferometer the symmetry of the corresponding contribution to the source brightness distributions is not known. Roger Clifton Jennison developed a novel technique for obtaining information about visibility phases when delay errors are present, using an observable called the closure phase . Although his initial laboratory measurements of closure phase had been done at optical wavelengths, he foresaw greater potential for his technique in radio interferometry. In 1958 he demonstrated its effectiveness with

1660-487: A very-long-baseline interferometer. Temperature variations at VLBI sites can deform the structure of the antennas and affect the baseline measurements. Neglecting atmospheric pressure and hydrological loading corrections at the observation level can also contaminate the VLBI measurements by introducing annual and seasonal signals, like in the Global Navigation Satellite System time series. The phase of

1743-401: A while for the oscillator to stabilize. In practice, the feedback and monitoring mechanism is much more complex. Many of the newer clocks, including microwave clocks such as trapped ion or fountain clocks, and optical clocks such as lattice clocks use a sequential interrogation protocol rather than the frequency modulation interrogation described above. An advantage of sequential interrogation

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1826-481: Is a clock that measures time by monitoring the resonant frequency of atoms. It is based on atoms having different energy levels . Electron states in an atom are associated with different energy levels, and in transitions between such states they interact with a very specific frequency of electromagnetic radiation . This phenomenon serves as the basis for the International System of Units ' (SI) definition of

1909-582: Is a measurement of the degree to which the clock's ticking rate can be counted on to match some absolute standard such as the inherent hyperfine frequency of an isolated atom or ion. Stability describes how the clock performs when averaged over time to reduce the impact of noise and other short-term fluctuations (see precision ). The instability of an atomic clock is specified by its Allan deviation σ y ( τ ) {\displaystyle \sigma _{y}(\tau )} . The limiting instability due to atom or ion counting statistics

1992-569: Is an international collaboration whose purpose is to use the observation of astronomical radio sources using VLBI to precisely determine earth orientation parameters (EOP) and celestial reference frames (CRF) and terrestrial reference frames (TRF). IVS is a service operating under the International Astronomical Union (IAU) and the International Association of Geodesy (IAG). Atomic clock An atomic clock

2075-730: Is evaluated. The evaluation reports of individual (mainly primary) clocks are published online by the International Bureau of Weights and Measures (BIPM). A number of national metrology laboratories maintain atomic clocks: including Paris Observatory , the Physikalisch-Technische Bundesanstalt (PTB) in Germany, the National Institute of Standards and Technology (NIST) in Colorado and Maryland , USA, JILA in

2158-418: Is given by where Δ ν {\displaystyle \Delta \nu } is the spectroscopic linewidth of the clock system, N {\displaystyle N} is the number of atoms or ions used in a single measurement, T c {\displaystyle T_{\text{c}}} is the time required for one cycle, and τ {\displaystyle \tau }

2241-408: Is most heavily affected by the oscillator frequency ν 0 {\displaystyle \nu _{0}} . This is why optical clocks such as strontium clocks (429 terahertz) are much more stable than caesium clocks (9.19 GHz). Modern clocks such as atomic fountains or optical lattices that use sequential interrogation are found to generate type of noise that mimics and adds to

2324-407: Is of the correct frequency, a number of atoms will transition to the other energy state . The closer the frequency is to the inherent oscillation frequency of the atoms, the more atoms will switch states. Such correlation allows very accurate tuning of the frequency of the microwave radiation. Once the microwave radiation is adjusted to a known frequency where the maximum number of atoms switch states,

2407-405: Is reduced by temperature fluctuations. This led to the idea of measuring the frequency of an atom's vibrations to keep time much more accurately, as proposed by James Clerk Maxwell, Lord Kelvin , and Isidor Rabi. He proposed the concept in 1945, which led to a demonstration of a clock based on ammonia in 1949. This led to the first practical accurate atomic clock with caesium atoms being built at

2490-408: Is that it can accommodate much higher Q's, with ringing times of seconds rather than milliseconds. These clocks also typically have a dead time , during which the atom or ion collections are analyzed, renewed and driven into a proper quantum state, after which they are interrogated with a signal from a local oscillator (LO) for a time of perhaps a second or so. Analysis of the final state of the atoms

2573-468: Is the averaging period. This means instability is smaller when the linewidth Δ ν {\displaystyle \Delta \nu } is smaller and when N {\displaystyle {\sqrt {N}}} (the signal to noise ratio ) is larger. The stability improves as the time τ {\displaystyle \tau } over which the measurements are averaged increases from seconds to hours to days. The stability

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2656-612: Is the basis for the system of International Atomic Time (TAI), which is maintained by an ensemble of atomic clocks around the world. The system of Coordinated Universal Time (UTC) that is the basis of civil time implements leap seconds to allow clock time to track changes in Earth's rotation to within one second while being based on clocks that are based on the definition of the second, though leap seconds will be phased out in 2035. The accurate timekeeping capabilities of atomic clocks are also used for navigation by satellite networks such as

2739-505: Is the largest VLBI array that operates all year round as both an astronomical and geodesy instrument. The combination of the EVN and VLBA is known as Global VLBI . When one or both of these arrays are combined with space-based VLBI antennas such as HALCA or Spektr-R , the resolution obtained is higher than any other astronomical instrument, capable of imaging the sky with a level of detail measured in microarcseconds . VLBI generally benefits from

2822-485: Is the result of comparing clocks in national laboratories around the world to International Atomic Time (TAI), then adding leap seconds as necessary. TAI is a weighted average of around 450 clocks in some 80 time institutions. The relative stability of TAI is around one part in 10 . Before TAI is published, the frequency of the result is compared with the SI second at various primary and secondary frequency standards. This requires relativistic corrections to be applied to

2905-488: Is then used to generate a correction signal to keep the LO frequency locked to that of the atoms or ions. The accuracy of atomic clocks has improved continuously since the first prototype in the 1950s. The first generation of atomic clocks were based on measuring caesium, rubidium, and hydrogen atoms. In a time period from 1959 to 1998, NIST developed a series of seven caesium-133 microwave clocks named NBS-1 to NBS-6 and NIST-7 after

2988-562: Is to redefine the second when clocks become so accurate that they will not lose or gain more than a second in the age of the universe . To do so, scientists must demonstrate the accuracy of clocks that use strontium and ytterbium and optical lattice technology. Such clocks are also called optical clocks where the energy level transitions used are in the optical regime (giving rise to even higher oscillation frequency), which thus, have much higher accuracy as compared to traditional atomic clocks. The goal of an atomic clock with 10 accuracy

3071-739: The European Union 's Galileo Programme and the United States' GPS . The timekeeping accuracy of the involved atomic clocks is important because the smaller the error in time measurement, the smaller the error in distance obtained by multiplying the time by the speed of light is (a timing error of a nanosecond or 1 billionth of a second (10 or 1 ⁄ 1,000,000,000 second) translates into an almost 30-centimetre (11.8 in) distance and hence positional error). The main variety of atomic clock uses caesium atoms cooled to temperatures that approach absolute zero . The primary standard for

3154-1036: The National Institute of Standards and Technology (formerly the National Bureau of Standards) in the USA, the Physikalisch-Technische Bundesanstalt (PTB) in Germany, the National Research Council (NRC) in Canada, the National Physical Laboratory in the United Kingdom, International Time Bureau ( French : Bureau International de l'Heure , abbreviated BIH), at the Paris Observatory , the National Radio Company , Bomac, Varian , Hewlett–Packard and Frequency & Time Systems. During

3237-407: The National Physical Laboratory in the United Kingdom in 1955 by Louis Essen in collaboration with Jack Parry. In 1949, Alfred Kastler and Jean Brossel developed a technique called optical pumping for electron energy level transitions in atoms using light. This technique is useful for creating much stronger magnetic resonance and microwave absorption signals. Unfortunately, this caused

3320-544: The University of Colorado Boulder , the National Physical Laboratory (NPL) in the United Kingdom, and the All-Russian Scientific Research Institute for Physical-Engineering and Radiotechnical Metrology . They do this by designing and building frequency standards that produce electric oscillations at a frequency whose relationship to the transition frequency of caesium 133 is known, in order to achieve

3403-654: The magnetron . In the 1950s he developed a new observable for obtaining information about visibility phases in an interferometer when delay errors are present called the closure phase . He performed the first measurements of closure phase at optical wavelengths. Jennison saw greater potential for his technique in radio interferometry, and proposed that it should be tested on a three-element radio interferometer at Jodrell Bank . In 1958 he successfully demonstrated its effectiveness at radio wavelengths, but it only became widely used for long baseline radio interferometry in 1974. A minimum of three antennas are required. This method

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3486-462: The rubidium microwave transition and other optical transitions, including neutral atoms and single trapped ions. These secondary frequency standards can be as accurate as one part in 10 ; however, the uncertainties in the list are one part in 10 – 10 . This is because the uncertainty in the central caesium standard against which the secondary standards are calibrated is one part in 10 – 10 . Primary frequency standards can be used to calibrate

3569-452: The 1950s, the National Radio Company sold more than 50 units of the first atomic clock, the Atomichron . In 1964, engineers at Hewlett-Packard released the 5060 rack-mounted model of caesium clocks. In 1968, the SI defined the duration of the second to be 9 192 631 770 vibrations of the unperturbed ground-state hyperfine transition frequency of the caesium-133 atom. Prior to that it

3652-638: The BIPM need to be known very accurately. Some operations require synchronization of atomic clocks separated by great distances over thousands of kilometers. Global Navigational Satellite Systems (GNSS) provide a satisfactory solution to the problem of time transfer. Atomic clocks are used to broadcast time signals in the United States Global Positioning System (GPS) , the Russian Federation's Global Navigation Satellite System (GLONASS) ,

3735-473: The Earth's rotation, producing UTC. The number of leap seconds is changed so that mean solar noon at the prime meridian (Greenwich) does not deviate from UTC noon by more than 0.9 seconds. Roger Clifton Jennison Roger Clifton Jennison (18 December 1922 – 29 December 2006) worked as a radio astronomer at Jodrell Bank under the guidance of Robert Hanbury Brown . Jennison made a number of discoveries in

3818-763: The European Union's Galileo system and China's BeiDou system. The signal received from one satellite in a metrology laboratory equipped with a receiver with an accurately known position allows the time difference between the local time scale and the GNSS system time to be determined with an uncertainty of a few nanoseconds when averaged over 15 minutes. Receivers allow the simultaneous reception of signals from several satellites, and make use of signals transmitted on two frequencies. As more satellites are launched and start operations, time measurements will become more accurate. These methods of time comparison must make corrections for

3901-405: The LO, which must now have low phase noise in addition to high stability, thereby increasing the cost and complexity of the system. For the case of an LO with Flicker frequency noise where σ y L O ( τ ) {\displaystyle \sigma _{y}^{\rm {LO}}(\tau )} is independent of τ {\displaystyle \tau } ,

3984-480: The United States, the National Institute of Standards and Technology (NIST) 's caesium fountain clock named NIST-F2 , measures time with an uncertainty of 1 second in 300 million years (relative uncertainty 10 ). NIST-F2 was brought online on 3 April 2014. The Scottish physicist James Clerk Maxwell proposed measuring time with the vibrations of light waves in his 1873 Treatise on Electricity and Magnetism: 'A more universal unit of time might be found by taking

4067-713: The University of Kent in 2009. Jennison was a co-founder of the Canterbury Society of Art and was involved in the activities of the Canterbury Arts Council . He was also a fellow of the Royal Astronomical Society , the Institution of Electrical Engineers and the Royal Society of Arts . Roger Clifton Jennison's interest in the arts may have been stimulated by his father, George Robert Jennison, who

4150-548: The University. Prior to his appointment at Kent he was Senior Lecturer in Radio Astronomy at Jodrell Bank Observatory and Senior Lecturer in Physics, Manchester University . His research interests extended to relativity , studying paths of light in rotating systems, and also to studying water divining and ball lightning . With the latter, Jennison reported his personal encounter with the phenomenon as an airline passenger during

4233-423: The accuracy of current state-of-the-art satellite comparisons by a factor of 10, but it will still be limited to one part in 1 × 10 . These four European labs are developing and host a variety of experimental optical clocks that harness different elements in different experimental set-ups and want to compare their optical clocks against each other and check whether they agree. National laboratories usually operate

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4316-535: The agency changed its name from the National Bureau of Standards to the National Institute of Standards and Technology. The first clock had an accuracy of 10 , and the last clock had an accuracy of 10 . The clocks were the first to use a caesium fountain , which was introduced by Jerrod Zacharias , and laser cooling of atoms, which was demonstrated by Dave Wineland and his colleagues in 1978. The next step in atomic clock advances involves going from accuracies of 10 to accuracies of 10 and even 10 . The goal

4399-678: The atom and thus, its associated transition frequency, can be used as a timekeeping oscillator to measure elapsed time. All timekeeping devices use oscillatory phenomena to accurately measure time, whether it is the rotation of the Earth for a sundial , the swinging of a pendulum in a grandfather clock , the vibrations of springs and gears in a watch , or voltage changes in a quartz crystal watch . However all of these are easily affected by temperature changes and are not very accurate. The most accurate clocks use atomic vibrations to keep track of time. Clock transition states in atoms are insensitive to temperature and other environmental factors and

4482-470: The complex visibility depends on the symmetry of the source brightness distribution. Any brightness distribution can be written as the sum of a symmetric component and an anti-symmetric component . The symmetric component of the brightness distribution only contributes to the real part of the complex visibility, while the anti-symmetric component only contributes to the imaginary part. As the phase of each complex visibility measurement cannot be determined with

4565-401: The complexity of the clock lies in this adjustment process. The adjustment tries to correct for unwanted side-effects, such as frequencies from other electron transitions, temperature changes, and the spreading in frequencies caused by the vibration of molecules including Doppler broadening . One way of doing this is to sweep the microwave oscillator's frequency across a narrow range to generate

4648-497: The definition of the second. Timekeeping researchers are currently working on developing an even more stable atomic reference for the second, with a plan to find a more precise definition of the second as atomic clocks improve based on optical clocks or the Rydberg constant around 2030. Technological developments such as lasers and optical frequency combs in the 1990s led to increasing accuracy of atomic clocks. Lasers enable

4731-705: The development of the closure phase imaging technique by Roger Jennison in the 1950s, allowing VLBI to produce images with superior resolution. VLBI is best known for imaging distant cosmic radio sources, spacecraft tracking, and for applications in astrometry . However, since the VLBI technique measures the time differences between the arrival of radio waves at separate antennas, it can also be used "in reverse" to perform Earth rotation studies, map movements of tectonic plates very precisely (within millimetres), and perform other types of geodesy . Using VLBI in this manner requires large numbers of time difference measurements from distant sources (such as quasars ) observed with

4814-429: The differences in the gravitational field in the device cannot be ignored. The standard is then considered in the framework of general relativity to provide a proper time at a specific point. The International Bureau of Weights and Measures (BIPM) provides a list of frequencies that serve as secondary representations of the second . This list contains the frequency values and respective standard uncertainties for

4897-847: The effects of special relativity and general relativity of a few nanoseconds. In June 2015, the National Physical Laboratory (NPL) in Teddington, UK; the French department of Time-Space Reference Systems at the Paris Observatory (LNE-SYRTE); the German German National Metrology Institute (PTB) in Braunschweig ; and Italy's Istituto Nazionale di Ricerca Metrologica (INRiM) in Turin labs have started tests to improve

4980-428: The estimated times of arrival of the radio signal at each of the telescopes. A range of playback timings over a range of nanoseconds are usually tested until the correct timing is found. Each antenna will be a different distance from the radio source, and as with the short baseline radio interferometer the delays incurred by the extra distance to one antenna must be added artificially to the signals received at each of

5063-542: The field of radio astronomy , including the discovery of the double nature of radio source Cygnus A ( 3C 405.0) with M K Das Gupta and the mapping of Cassiopeia A with V Latham . Jennison was born in Grimsby , England , in 1922. His education was at Clee Grammar School for Boys . He was commissioned from RAF aircrew to the Technical Branch-Signals, where he developed radar and microwave systems using

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5146-728: The first science produced by the European VLBI Network using e-VLBI. The data from each of the telescopes were routed through the GÉANT2 network and on through SURFnet to be the processed in real time at the European Data Processing centre at JIVE . In the quest for even greater angular resolution, dedicated VLBI satellites have been placed in Earth orbit to provide greatly extended baselines. Experiments incorporating such space-borne array elements are termed Space Very Long Baseline Interferometry (SVLBI). The first SVLBI experiment

5229-556: The frequency of other clocks used in national laboratories. These are usually commercial caesium clocks having very good long-term frequency stability, maintaining a frequency with a stability better than 1 part in 10 over a few months. The uncertainty of the primary standard frequencies is around one part in 10 . Hydrogen masers , which rely on the 1.4 GHz hyperfine transition in atomic hydrogen, are also used in time metrology laboratories. Masers outperform any commercial caesium clock in terms of short-term frequency stability. In

5312-482: The instability inherent in atom or ion counting. This effect is called the Dick effect and is typically the primary stability limitation for the newer atomic clocks. It is an aliasing effect; high frequency noise components in the local oscillator ("LO") are heterodyned to near zero frequency by harmonics of the repeating variation in feedback sensitivity to the LO frequency. The effect places new and stringent requirements on

5395-451: The interrogation time is T i {\displaystyle T_{i}} , and where the duty factor d = T i / T c {\displaystyle d=T_{i}/T_{c}} has typical values 0.4 < d < 0.7 {\displaystyle 0.4<d<0.7} , the Allan deviation can be approximated as This expression shows

5478-523: The local time references of the VLBI technique, in a technique known as e-VLBI. In Europe, six radio telescopes of the European VLBI Network (EVN) were connected with Gigabit per second links via their National Research Networks and the Pan-European research network GEANT2 , and the first astronomical experiments using this new technique were successfully conducted. The image to the right shows

5561-609: The location of the primary standard which depend on the distance between the equal gravity potential and the rotating geoid of Earth. The values of the rotating geoid and the TAI change slightly each month and are available in the BIPM Circular T publication . The TAI time-scale is deferred by a few weeks as the average of atomic clocks around the world is calculated. TAI is not distributed in everyday timekeeping. Instead, an integer number of leap seconds are added or subtracted to correct for

5644-686: The longer baselines afforded by international collaboration, with a notable early example in 1976, when radio telescopes in the United States, USSR and Australia were linked to observe hydroxyl - maser sources. This technique is currently being used by the Event Horizon Telescope , whose goal is to observe the supermassive black holes at the centers of the Milky Way Galaxy and Messier 87 . NASAs Deep Space Network uses its larger antennas (normally used for spacecraft communication) for VLBI, in order to construct radio reference frames for

5727-400: The observing process significantly. Even though the data rates are very high, the data can be sent over normal Internet connections taking advantage of the fact that many of the international high speed networks have significant spare capacity at present. At the location of the correlator, the data is played back. The timing of the playback is adjusted according to the atomic clock signals, and

5810-505: The oscillation frequency is much higher than any of the other clocks (in microwave frequency regime and higher). One of the most important factors in a clock's performance is the atomic line quality factor, Q , which is defined as the ratio of the absolute frequency ν 0 {\displaystyle \nu _{0}} of the resonance to the linewidth of the resonance itself Δ ν {\displaystyle \Delta \nu } . Atomic resonance has

5893-440: The other antennas. The approximate delay required can be calculated from the geometry of the problem. The tape playback is synchronized using the recorded signals from the atomic clocks as time references, as shown in the drawing on the right. If the position of the antennas is not known to sufficient accuracy or atmospheric effects are significant, fine adjustments to the delays must be made until interference fringes are detected. If

5976-504: The past, these instruments have been used in all applications that require a steady reference across time periods of less than one day (frequency stability of about 1 part in ten for averaging times of a few hours). Because some active hydrogen masers have a modest but predictable frequency drift with time, they have become an important part of the BIPM's ensemble of commercial clocks that implement International Atomic Time. The time readings of clocks operated in metrology labs operating with

6059-490: The periodic time of vibration of the particular kind of light whose wave length is the unit of length.' Maxwell argued this would be more accurate than the Earth's rotation , which defines the mean solar second for timekeeping. During the 1930s, the American physicist Isidor Isaac Rabi built equipment for atomic beam magnetic resonance frequency clocks. The accuracy of mechanical, electromechanical and quartz clocks

6142-406: The possibility of optical-range control over atomic states transitions, which has a much higher frequency than that of microwaves; while optical frequency comb measures highly accurately such high frequency oscillation in light. The first advance beyond the precision of caesium clocks occurred at NIST in 2010 with the demonstration of a "quantum logic" optical clock that used aluminum ions to achieve

6225-485: The purpose of spacecraft navigation. The inclusion of the ESA station at Malargue, Argentina, adds baselines that allow much better coverage of the southern hemisphere. VLBI has traditionally operated by recording the signal at each telescope on magnetic tapes or disks , and shipping those to the correlation center for replay. In 2004 it became possible to connect VLBI radio telescopes in close to real-time, while still employing

6308-446: The same dependence on T c / τ {\displaystyle T_{c}/{\tau }} as does σ y , a t o m s ( τ ) {\displaystyle \sigma _{y,\,{\rm {atoms}}}(\tau )} , and, for many of the newer clocks, is significantly larger. Analysis of the effect and its consequence as applied to optical standards has been treated in

6391-433: The signal from antenna A is taken as the reference, inaccuracies in the delay will lead to errors ϵ B {\displaystyle \epsilon _{B}} and ϵ C {\displaystyle \epsilon _{C}} in the phases of the signals from tapes B and C respectively (see drawing on right). As a result of these errors the phase of the complex visibility cannot be measured with

6474-435: The world in national metrology labs must be demonstrated , and the comparison must show relative clock frequency accuracies at or better than 5 × 10 . In addition to increased accuracy, the development of chip-scale atomic clocks has expanded the number of places atomic clocks can be used. In August 2004, NIST scientists demonstrated a chip-scale atomic clock that was 100 times smaller than an ordinary atomic clock and had

6557-580: The world is the European VLBI Network (EVN). This is a part-time array that brings together the largest European radiotelescopes and some others outside of Europe for typically weeklong sessions, with the data being processed at the Joint Institute for VLBI in Europe (JIVE). The Very Long Baseline Array (VLBA), which uses ten dedicated, 25-meter telescopes spanning 5351 miles across the United States,

6640-476: Was carried out on Salyut-6 orbital station with KRT-10, a 10-meter radio telescope, which was launched in July 1978. The first dedicated SVLBI satellite was HALCA , an 8-meter radio telescope , which was launched in February 1997 and made observations until October 2003. Due to the small size of the dish, only very strong radio sources could be observed with SVLBI arrays incorporating it. Another SVLBI satellite,

6723-465: Was defined by there being 31 556 925 .9747 seconds in the tropical year 1900. In 1997, the International Committee for Weights and Measures (CIPM) added that the preceding definition refers to a caesium atom at rest at a temperature of absolute zero . Following the 2019 revision of the SI , the definition of every base unit except the mole and almost every derived unit relies on

6806-547: Was first reached at the United Kingdom's National Physical Laboratory 's NPL-CsF2 caesium fountain clock and the United States' NIST-F2 . The increase in precision from NIST-F1 to NIST-F2 is due to liquid nitrogen cooling of the microwave interaction region; the largest source of uncertainty in NIST-F1 is the effect of black-body radiation from the warm chamber walls. The performance of primary and secondary frequency standards contributing to International Atomic Time (TAI)

6889-459: Was used for the first VLBI measurements, and a modified form of this approach ("Self-Calibration") is still used today at radio , optical and infrared wavelengths. Jennison was appointed to the University of Kent at Canterbury in 1965 and was the first Professor of Physical Electronics at the University. Within a year he established the Electronics Laboratory (later Department of Electronics and now School of Engineering and Digital Arts) at

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