H.A.A.R.P.
High
Frequency Active Auroral Research Program
HAARP, the most powerful ionosphere heater on Earth
When
stimulated with high-intensity radio waves, the ionosphere responds
with baffling and beautiful displays.
Todd
Pedersen is a scientist at the Air Force Research
Laboratory’s Space Vehicles Directorate at Kirtland Air Force Base
in Albuquerque, New Mexico.
Physics
Today 68,
12, 72 (2015); https://doi.org/10.1063/PT.3.3032
Our
modern world of Wi-Fi, smartphones, and location apps relies on radio
waves to link up all our gadgets. Most of us, though, are
unaware that the ionosphere high above Earth affects the
location services in our phones and the directions relayed by the
navigation units in our cars. The complex dynamics of the ionospheric
plasma, a gas of electrons and ions enveloping our planet, can
be studied by research facilities such as the High Frequency
Active AuroralResearch Program (HAARP), located in Alaska.
During the past 15 years, HAARP has produced many interesting and
unexpected results, perhaps most spectacularly the production of an
artificial ionospheric plasma generated by radio
waves.
ATMOSPHERIC SHRAPNEL
The ionosphere is
the region of the upper atmosphere characterized by a large
population of free electrons and ions—the atmospheric shrapnel that
arises when UV photons from the Sun knock electrons from atmospheric
gas. (For a tour of the upper atmosphere, see the Quick Study by John
Emmert, Physics
Today, December
2008, page 70.)
Its density is controlled by the relative rates of ion production and
the recombination of ions with electrons to re-create neutral
molecules. The ionosphere begins at an altitude of about 70
km, reaches a peak daytime density of something like a million
particles per cubic centimeter near 250 km, and tapers off above that
altitude to blend into the much more rarefied plasmasphere,
magnetosphere, and solar wind.
The ionospheric
plasma can distort and delay satellite communications and
navigation signals passing through it; indeed, the primary practical
motivation for studying the ionosphere is to get a handle
on those effects. At the low power of day-to-day devices,
the ionospheric plasmacan alter radio waves, but
the plasma itself is unaffected. At high enough power
densities, however, radio waves can affect the plasma and
generate feedback between the waves and plasma, a
phenomenon that offers a unique
means—so-called ionospheric heating—of studying
the ionosphere.
The
HAARP facility began operating in 1999 with a 6 × 8 array of
transmitting antennas that, in total, produced 960 kW of RF
power—about the same as generated by 10 AM radio stations.
(The figure shows
today’s 12 × 15 array.) The HAARP beam is broad like a
flashlight’s, not narrow like a laser’s, but it can be
electronically steered anywhere within 30° of zenith—that is,
local vertical—and it can operate at 3–10 MHz. Its powerful radio
waves drive ionosphericelectrons back and forth in what are
called plasma waves. As those driven electrons collide with
each other and with background species, their temperature goes up,
which is why HAARP is called a heater.
Heating
and observing the
ionosphere. Generators at the High Frequency Active Auroral Research
Program (HAARP) operations center in Alaska (buildings to the upper
left) feed power to the large antenna array to the right. That array,
in turn, transmits RF waves that interact with the ionosphere.
Shelters down the road from the array house optical instruments for
observing the resulting excitations; one of the instruments is
visible through the clear dome in the lower inset. (Backdrop photo by
A. Lee Snyder; inset photo by Robert Esposito.) The red and green
regions in the upper inset (courtesy of Jeffrey Holmes) represent
regions of the ionosphere in which oxygen atoms excited by
ionospheric heating relax to lower-energy states. Behind the HAARP
site rises Mount Drum.
A SERIES OF UNEXPECTED EVENTS
Just
as an opera soprano needs to sing at just the right frequency to
break a glass, so a heatermust target frequencies that match the
natural plasma resonances in the ionosphere. Primary
targets include the plasma frequency, a function of
electron density; multiples of the cyclotron frequency of electrons
spiraling around the magnetic field; and hybrid resonances that
combine those fundamental frequencies.
Measurements
of optical emissions excited by heated electrons yielded HAARP’s
first unexpected result. Spotting such emissions at all was a feat,
inasmuch as 20 years of attempts to do so at the EISCAT (European
Incoherent Scatter) heater in Norway’s Arctic had been
unsuccessful; in fact, HAARP scientists had been warned that looking
for optical emissions would be a waste of time. Nevertheless, images
recording the red 630.0-nm oxygen line revealed a faint blob turning
on and off in sync with the heater; that could only mean
HAARP had heated the electrons and excited the oxygen.
The airglow showed an unexpected enhancement well away from
the beam center, at the magnetic zenith—that is, the direction of
the magnetic field. The obvious next step was to point the beam
toward the magnetic zenith, which at HAARP is about 15°
south-southwest of vertical. When the experiment was finally
performed in 2002, as the HAARP array swung the beam through the
magnetic zenith, the blob lit up and was 10 times as bright
as airglow in any other location. A variation of that
magnetic zenith effect had been previously observed at
EISCAT, but neither the EISCAT nor HAARP version of the effect had
been predicted and neither is fully understood.
Thanks
to its frequency agility, the HAARP antenna can heat
the ionosphere at specific altitudes where the transmission
frequency simultaneously matches two resonances. In 2004, experiments
exploiting that possibility produced green-line oxygen emissions at
557.7 nm. (The figure shows
an airglow with red and green oxygen emission.) Those lines
come from an excited state with an energy 4 eV above the ground-state
energy; evidently, by “surfing” plasma waves, the
electrons accelerated to energies well beyond the thermal energy.
Another HAARP experiment in the same series heated an
ephemeral ionospheric layer produced by an aurora; the
resulting green spots were as bright as the aurora itself.
Those extremely bright spots have since been reproduced but are not
yet explained.
In
2007 HAARP expanded to its full design capability of 12 × 15
antennas and 3.6 MW of total power. During its first postexpansion
science campaign, in February 2008, my colleagues and I obtained
optical images with strange, unpredicted rings around
the airglow spot. We hypothesized that if the plasma in
the center of the beam were slightly enhanced in density relative to
the background ionosphere, the density gradient could
divert rays away from the center of the beam toward the location
where the ring was observed. Careful examination of echoes from radio
waves bounced off the ionosphere turned up evidence
for a density-enhancing artificial plasma layer just below
the natural ionosphere. Moreover, simulations of
RF waves propagating through the observed layer put
additional power right where the rings were seen.
We
had not expected such artificial ionization to be possible,
but we followed up with new experiments designed to
optimize ionization production. In March 2009, just over 10
years after we were told that looking for airglow was
futile, I stepped outside with a couple of coworkers during
an ionization experiment and marveled at the light—visible
with unaided eyes—from an artificial ionospheric
plasma produced and sustained by radio wavestransmitted
from the ground.
In
addition to generating unexpected phenomena, HAARP scientists used
and further developed a diagnostic technique pioneered at EISCAT:
stimulated electromagnetic emissions. The effect arises
when plasma waves stimulated by the heater regenerate radio
waves that are received on the ground as a complex spectrum of
narrow peaks and broad bumps on either side of the transmission
frequency. Some of those depend not only on electron density but also
on ion mass, magnetic field strength, or other parameters. Thus the
stimulated emissions provide a potentially powerful tool for
analyzing conditions in the heated volume.
A ZOO OF PLASMA WAVES
Admittedly,
research at HAARP has not directly contributed to new corrections
for ionospheric effects on navigation or communications
systems. Instead, the many surprises encountered in HAARP experiments
have made abundantly clear the need for quantitative predictive
theory and modeling in the field of high-power RF-wave propagation.
The complex equations describing plasma waves imply a whole
zoo of wave modes that could potentially be excited by a
transmitter.
But
no one can predict with certainty whether a particular wave mode
will absorb half the transmitted energy or only one part in a
million. For example, observed artificial plasmaproduction
accounts for only about 5% of the energy available from the beam;
some of the remaining 95% undoubtedly excites other modes that might
mislead researchers into wrongly identifying the cause of
the ionization. Stimulated electromagnetic emissions hold
the greatest promise for helping scientists determine
which wave modes are active during actual experiments.
An
interesting and still unexplored aspect of artificial ionization is
the complex interplay between the plasma created by radio
waves and the bending or reflecting of radio waves by
that plasma. As food for thought, have a look at
the video that
accompanies the online version of this Quick Study. You’ll see a
wide range of spots, turbulence, and sharp gradients—despite the
smoothly varying beam. If we are ever to develop practical
applications of heating technology, we’ll need to find mathematical
solutions describing the evidently complex feedback process.
In
August 2015 the HAARP facility was transferred from the US Air Force
to the University of Alaska so that HAARP scientists could continue
their investigations of fundamental plasmaphysics in an academic
environment.
SUPPLEMENTARY MATERIAL
ADDITIONAL RESOURCES
- 1.F. F. Chen, Introduction to Plasma Physics and Controlled Fusion, Volume 1: Plasma Physics, 2nd ed., Springer (2006).Google Scholar
- 2.B. Freeman, “HAARP scientists create mini ionosphere,” Armed with Science blog (27 February 2010). Google Scholar
- 3.N. Rozell, “HAARP again open for business,” University of Alaska Fairbanks online news story (3 September 2015). Google Scholar
- © 2015 American Institute of Physics.
High
Frequency Active Auroral Research Program
From Wikipedia,
the free encyclopedia. (Redirected from HAARP)
Do
not confuse this article with Project HARP, the High Altitude
Research Project (a joint project of The Pentagon and the Canadian
Department of National Defence)
Aerial
view of HAARP site
The
High Frequency Active Auroral Research Program (HAARP) is an
investigation project to "understand, simulate and control
ionospheric processes that might alter the performance of
communication and surveillance systems". Started in 1993, the
project is proposed to last for a period of twenty years.
The
project is jointly funded by US Air Force, Navy, and University of
Alaska. It is said that the project is similar to numerous existing
ionospheric heaters around the world, and has a large suite of
diagnostic instruments that facilitate its use to increase scientific
understanding of ionospheric dynamics. Though many have expressed
fears of HAARP being used as a nefarious weapon, the scientists
involved in aeronomy, space science, or plasma physics dismiss these
fears as unfounded.
Contents
[hide]
1
The HAARP site
1.1
Ionospheric heating facilities
1.1.1
Platteville
1.1.2
Current facilities
1.2
Diagnostic instrumentation
2
Research at HAARP
3
Stated objectives
4
HAARP controversy
4.1
HAARP's critics
4.2
HAARP's supporters
5
See also
6
Patents
7
External links
The
HAARP site
The
project site is near Gakona, Alaska (lat. 62.39° N, long 145.15°
W), just West of the Wrangell-Saint Elias National Park. An
environmental impact statement led to permission for an array of up
to 180 antennas to be erected. HAARP has been constructed at the
previous site of an over-the-horizon radar installation. A large
structure, built to house the OTH now houses the HAARP control room,
kitchen, and offices. Several other small structures house various
instruments. The Ionospheric Research Instrument (IRI) is the primary
instrument at HAARP, which is a high-frequency (HF) transmitter
system used to temporarily modify the ionosphere. Study of this
modified volume yields important information for understanding
natural ionospheric processes.
During
active ionospheric research, the signal generated by the transmitter
system is delivered to the antenna array, transmitted in an upward
direction, and is partially absorbed, at an altitude between 100 to
350 km (depending on operating frequency), in a small volume a few
hundred meters thick and a few tens of kilometers in diameter over
the site. The intensity of the HF signal in the ionosphere is less
than 3 microwatts per cm2, tens of thousands of times less than the
Sun's natural electromagnetic radiation reaching the earth and
hundreds of times less than even the normal random variations in
intensity of the Sun's natural ultraviolet (UV) energy which creates
the ionosphere. The small effects that are produced, however, can be
observed with the sensitive scientific instruments installed at the
HAARP facility and these observations can provide new information
about the dynamics of plasmas and new insight into the processes of
solar-terrestrial interactions. [2]
The
HAARP site has been constructed in three distinct phases. The
Developmental Prototype (DP) had 18 antenna elements, organized in
three columns by six rows. It was fed with a total of 360 kilowatts
(KW) combined transmitter output power. The DP transmitted just
enough power for the most basic of ionospheric testing.
The
Filled Developmental Prototype (FDP) had 48 antenna units arrayed in
six columns by eight rows, with 960 KW of transmitter power. It was
fairly comparable to other ionospheric heating facilities. This was
used for a number of successful scientific experiments and
ionospheric exploration campaigns over the years.
The
Final IRI (FIRI) will be the final build of the IRI. It has 180
antenna units, organized in 15 columns by 12 rows, yielding a
theoretical maximum gain of 31 dB. A total of 3600 KW (3.6 MW) of
transmitter power will feed it. The total effective radiated power
(ERP) will be 3,981 MW (96 dBW). As of the summer of 2005, all the
antennas were in place, but the final quota of transmitters had not
yet been installed.
Each
antenna element[3][4] consists of a crossed dipole that can be
polarized for linear, ordinary mode (O-mode), or extraordinary mode
(X-mode) transmission and reception. Each part of the two section
crossed dipoles are individually fed from a custom built transmitter,
that has been specially designed with very low distortion. The ERP of
the IRI is limited by more than a factor of 10 at its lower operating
frequencies. Much of this is due to higher antenna losses and a less
efficient antenna pattern.
HAARP
can transmit between 2.8 and 10 MHz. This frequency range lies above
the AM radio broadcast band and well below Citizens' Band frequency
allocations. HAARP is only licensed to transmit in certain segments
of this frequency range, however. When the IRI is transmitting, the
bandwidth of the transmitted signal is 100 kHz or less. The IRI can
transmit continuously (CW) or pulses as short as 100 microseconds
(μs). CW transmission is generally used for ionospheric
modification, while short pulses are frequently repeated, and the IRI
is used as a radar system. Researchers can run experiments that use
both modes of transmission, modifying the ionosphere for a
predetermined amount of time, then measuring the decay of
modification effects with pulsed transmissions.
Ionospheric
heating facilities
Comparison
of HAARP with other ionospheric facilities
(From
the HAARP website, public use permitted if source cited)
The
HAARP IRI is an ionospheric heater, one of many around the world. It
is comparable in function and power to most of them.
Platteville
One
of the earliest ionospheric heating facilities was at Platteville,
Colorado, capable of radiating about 100 MW ERP. Early experiments
included HF heater induced air-glow, heater-induced spread F, wide
band heater-induced absorption, and heater-created field-aligned
ionization. The Platteville heater operated from 1968 - 1984.
Current
facilities
The
United States has three ionospheric heating facilities: HAARP, HIPAS,
near Fairbanks, Alaska, and (currently offline for modifications) one
at the Arecibo Observatory in Puerto Rico. The European Incoherent
Scatter Scientific Association (EISCAT) operates an ionospheric
heating facility, capable of transmitting over 1 GW [5]
(10,000,000,000 Watts) effective radiated power (ERP), near Tromsø
in Norway. Russia has the Sura ionospheric heating facility, near
Nizhniy Novgorod, capable of transmitting 300 MW ERP.
Diagnostic
instrumentation
VHF
radar
UHF
radar
Digisonde
A
digisonde provides ionospheric profiles, allowing scientists to
choose appropriate frequencies for IRI operation. HAARP makes current
and historic digisonde information available online.
HF
receivers
Fluxgate
magnetometer
A
fluxgate magnetometer, built by the University of Alaska, Geophysical
Institute is available to chart variations in the earth's magnetic
field. Rapid and sharp changes may indicate a geomagnetic storm.
Induction
magnetometer
An
induction magnetometer, provided by the University of Tokyo, measures
the changing geomagnetic field in the ULF (Ultra low frequency) range
of 0-5 Hz.
Research
at HAARP
Research
at HAARP includes:
Ionospheric
heating
Plasma
line observations
Stimulated
electron emission observations
Gyro-frequency
heating research
Spread
F observations
Airglow
observations
Heating
induced scintillation observations
VLF
and ELF generation observations
Radio
observations of meteors
Polar
mesospheric summer echos : Polar Mesospheric Summer Echos (PMSE) have
been studied using the IRI as a powerful radar, as well as with the
28 MHz radar, and the two VHF radars at 49 MHz and 139 MHz. The
presence of multiple radars spanning both HF and VHF bands allows
scientists to make comparative measurements that may someday lead to
an understanding of the processes that form these elusive phenomenon.
Stated
objectives
The
HAARP project aims to direct a 3.6 MW signal, in the 2.8-10 MHz
region of the HF band, into the ionosphere. The signal may be pulsed
or continuous wave. Then effects of the transmission and any recovery
period will be examined associated instrumentation, including VHF and
UHF radars, HF receivers, and optical cameras. According to the HAARP
team, this will advance the study of basic natural processes that
occur in the ionosphere under the natural but much stronger influence
of solar interaction, as well as how the natural ionosphere affects
radio signals. This will enable scientists to develop techniques to
mitigate these effects in order to improve the reliability and/or
performance of communication and navigation systems, which would have
a wide range of applications in both the civilian and military
sectors.
The
project is funded by the Office of Naval Research and jointly managed
by the ONR and Air Force Research Laboratory, with the principal
involvement of the University of Alaska. Fourteen other universities
and educational institutions have been involved in the development of
the project and its instruments, namely the University of Alaska,
Penn State University (ARL), Boston College, UCLA, Clemson
University, Dartmouth College, Cornell University, Johns Hopkins
University, University of Maryland, College Park, University of
Massachusetts, MIT, Polytechnic University, Stanford University, and
the University of Tulsa. The project's specifications were developed
by the universities, which are continuing to play a major role in the
design of future research efforts. There is both military and
commercial interest in its outcome, as many communications and
navigation systems depend on signals being reflected from the
ionosphere or passing through the ionosphere to satellites.
The
HAARP project offers annual open days to permit the general public to
visit the facility, and makes a public virtue of openness; according
to the team, "there are no classified documents pertaining to
HAARP." Each summer, HAARP holds a summer-school for visiting
students, giving them an opportunity to do research with one of the
world's foremost research instruments.
HAARP
controversy
Numerous
parties have found reasons to suspect that HAARP is more than the
government claims it to be. Various theories draw on brain waves,
confusion of the ionosphere with the neutral atmosphere, and
over-stated claims of HAARP supporters. Many of the concerns about
HAARP have been presented so as to be dismissed as "conspiracy
theories" by some, while seen as proof of nefarious governmental
plotting by others.
HAARP's
critics
Waste:
The
cost of building HAARP has exceeded the dollar-adjusted cost of
similar facilities around the world. HAARP was constructed at the
site of an obsoleted over-the-horizon radar facility for political
reasons, but its location was less than ideal from a scientific
perspective. Some believe that it was constructed as a pork barrel
project for Alaska by Senator Ted Stevens.
Weapon:
The
objectives of the HAARP project became the subject of controversy in
the mid-1990s, following claims that the antennas could be used as a
weapon. A small group of American physicists aired complaints in
scientific journals such as Physics and Society, charging that HAARP
could be seeking ways to blow other countries' spacecraft out of the
sky or disrupt communications over large portions of the planet. The
physicist critics of HAARP have had little complaint about the
project's current stage, but have expressed fears that it could in
future be expanded into an experimental weapon.
These
concerns were amplified by Bernard Eastlund, a physicist who
developed some of the concepts behind HAARP in the 1980s and proposed
using high-frequency radio waves to beam large amounts of power into
the ionosphere, energizing its electrons and ions in order to disable
incoming missiles and knock out enemy satellite communications. The
US military became interested in the idea as an alternative to the
laser-based Strategic Defense Initiative. However, Eastlund's ideas
were eventually dropped as SDI itself mutated into the more limited
National Missile Defense of today. The contractors selected to build
HAARP have denied that any of Eastlund's patents were used in the
development of the project.
After
the physicists raised early concerns, the controversy was stoked by
local activism. In September 1995, a book entitled Angels Don't Play
This HAARP: Advances in Tesla Technology by Nick Begich, Jr., son of
the late Congressman Nick Begich, claimed that the project in its
present stage could be used for "geophysical warfare".
HAARP has subsequently become a target for those who have suggested
that it could be used to test the ability "to deliver very large
amount of energy, comparable to a nuclear bomb, anywhere on earth",
"changing weather patterns", "blocking all global
communications", "disrupting human mental processes"
and mind control, communicating with submarines, and "x-raying
the earth".
In
April 1997, the then U.S. Secretary of Defense William Cohen publicly
discussed the dangers of HAARP-like technology, saying "[o]thers
are engaging even in an eco-type of terrorism whereby they can alter
the climate, set off earthquakes, volcanoes remotely through the use
of electromagnetic waves... So there are plenty of ingenious minds
out there that are at work finding ways in which they can wreak
terror upon other nations... It's real, and that's the reason why we
have to intensify our efforts." This quote derives from an April
1997 counterterrorism conference sponsored by former Senator Sam
Nunn, quoted from "DoD News Briefing, Secretary of Defense
William S. Cohen, Q&A at the Conference on Terrorism, Weapons of
Mass Destruction, and U.S. Strategy," held at the University of
Georgia-Athens, Apr. 28, 1997.
Russians:
In
August 2002, further support for those critical of HAARP technology
came from the State Duma (parliament) of Russia. The Duma published a
critical report on HAARP written by the international affairs and
defense committees, signed by 90 deputies and presented to President
Vladimir Putin. The report claimed that "the U.S. is creating
new integral geophysical weapons that may influence the near-Earth
medium with high-frequency radio waves ... The significance of this
qualitative leap could be compared to the transition from cold steel
to fire arms, or from conventional weapons to nuclear weapons. This
new type of weapons differs from previous types in that the
near-Earth medium becomes at once an object of direct influence and
its component." However, given the timing of the Russian
intervention, it is likely that it was related to a controversy at
the time concerning the US withdrawal in June 2002 from the
Russian-American Anti-Ballistic Missile Treaty. This high level
concern is paralled in the April 1997 statement by the U.S. Secretary
of Defense over the power of such electromagnetic weaponry. Besides ,
Russia owns a ionospheric heater as powerful as the HAARP , named
'Sura' ,located in Russia's central area, in a remote and desolate
place some 150 km from the city of Nizhny Novgorod.
HAARP's
supporters
The
critics' views have been rejected by HAARP's defenders, who have
pointed out that the amount of energy at the project's disposal is
minuscule compared to the colossal energies dumped into the
atmosphere by solar radiation and thunderstorms. A University of
Alaska, Geophysical Institute scientist has compared HAARP to an
"immersion heater in the Yukon River."
It
would also be unable to effect any long-lasting changes; as the
ionosphere is inherently a chaotically turbulent region, any
artificially induced changes would be "swept clean" within
seconds or minutes at the most. Ionospheric heating experiments
performed at the Arecibo Observatory's ionospheric heater and
incoherent scatter radar have shown that no matter how long the
ionosphere is modified, it returns to normal within the same period
of time.
Ionospheric
heating cannot be performed while the sun illuminates the ionosphere
for two reasons:
Solar
UV creates the ionospheric D-region, which absorbs the radio waves
used for ionospheric heating.
The
solar flux overwhelms any effect of ionospheric heating. (needs to be
verified John Elder 01:50, 13 Jun 2005 (UTC))
HAARP's
supporters also point to the lack of serious scientific evidence to
support some of the more exotic claims being made about HAARP, such
as the conjecture that the system caused the 2003 North America
blackout or earthquakes.
Most
scientists reject the extreme criticism of HAARP as "utter
nonsense," especially aeronomers and space-physicists who have a
solid understanding of the accusations levelled at HAARP. Books, such
as Angel's don't Play this HAARP, are often circulated and ridiculed
in private. The scientific community puts forth little or no effort
to defend HAARP, because they perceive those who attack HAARP as
lacking sufficient understanding of science to criticize HAARP
competently.
HAARP: weather manipulations, electro-magnetic warfare
HAARP a program for man-made control of weather events, weather manipulation… “spacequakes” … earthquakes, a huge sonic space weapon system, (out of control),
electro-magnetic warfare,
Learn about it.
Decide for yourself
The possibilities and theories ,,,
The science and technologies ,,,
The evidences and conspiracies ,,,
Connect the dots ,,,
An Overview of the HAARP Program
The High Frequency Active Auroral Research Program (HAARP) operates a major ionospheric research facility at Gakona, Alaska. As you look through our web site, you will find many technical details about this facility and about active ionospheric research in general. The web site also contains descriptive material on the Earth’s ionosphere and gives examples of some of the scientific results obtained at the HAARP facility.
There is a strong connection between the ionospheric research conducted at the HAARP facility and many practical issues that affect our everyday lives. All long-distance high frequency (HF) communication systems, such as ship-to-shore communications, transoceanic aircraft links, and portable systems used so frequently in Alaska and other remote areas, operate by bouncing signals off the ionosphere, a process often referred to as sky-wave propagation. By studying a small, limited portion of the ionosphere directly over the facility, research at the HAARP observatory is able to probe the nature of this dynamic medium, both in its naturally disturbed condition and when artificially stimulated, with the goal of being able to provide the fundamental understanding necessary to enhance the performance of such systems.
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