Fusion research has been a holy grail of nuclear scientists
for about half a century now; after all
the universe is powered by nuclear fusion
in stars. Nuclear fusion is the process by which two nuclei
of atoms of lighter elements collide at very high speeds
and combine to form a nucleus of anatom of a heavier
element. Fusion requires extremely high temperatures,
millions of degrees. It releases the highest amount
of energy per fuel mass among all known physical phenomena.
One may wonder after reading the previous chapter why
fusion research is anymore relevant, once thorium-based
fission is sufficient to secure energy needs in foreseeable
future. There are several reasons to pursue the goal of
fusion reactors, even after thorium-based fission has been
commercialized:
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Realizing fusion energy means having a zero-emission
reliable energy source, which does not produce any
radioactive waste either
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Because of its highest theoretical energy production ratio
per fuel mass, fusion could potentially enable
manufacturing processes which presently require
uneconomically high energy input
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It is wise to be able to have a choice between fission and
fusion technologies as main energy supply
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Some fusion technology may turn out to cost just a fraction
of fission power's per kWh costs
The diagram illustrates the 'willingness' of
potential fuel types to undergo fusion reaction. The larger
the cross-section, the more willing are fuel particles to
make fusion when colliding head-on. It turns out that
deuterium-tritium (DT) fuel is easiest candidate for
fusion. However, if fusion fuel could be maintained at even
higher temperatures - remember that we are talking about
millions of Celsius equivalent - proton-boron (p+B11)
reaction would become feasible. There are two advantages to
proton-boron fusion, which make it the ultimate design
goal: very low neutron production and easy availability of
both fusion components.
At the start of fusion research, scientists have
considered 'inertially confined' fusion, where a spherical
electric grid accelerates fuel material into high
temperatures towards the center of the sphere. The main
problem with this approach is the collision of fuel
particles with the accelerating grid, leading to quick
evaporation of grid equipment and energy losses outweighing
fusion gains. The 'tokamak' concept of ring shaped
accelerator has been invented during the 1960s by Andrei
Sakharov and Igor Tamm, which does not suffer from grid
collision losses. It seemed at the time that developing
tokamak fusion is the more fruitful approach, and research
on 'inertially confined' fusion has been abandoned
altogether, with very few exceptions of some small research
groups continuing work on 'inertially confined' fusion as
neutron source.
The tokamak uses magnetic fields to manipulate the
deuterium-tritium plasma. Given the extreme technical
challenges of achieving useful fusion rates of even
deuterium-tritium fuels, tokamak researchers cannot dream
at the moment about a more readily available fuel, such as
proton-boron mixture. The distinguishing feature of the
tokamak is its essence of being a “step-down” transformer.
The transformer’s primary is the stack of beige coils in
the center of the tokamak’s torus (in the donut’s hole
below). The transformer’s secondary is the ring of plasma –
the orange skinny donut. An increasing current in the
many-coiled primary induces a much-larger current in the
single-coiled plasma “donut” secondary.
Two magnetic fields combine to produce the resultant
magnetic field that spirals helically around the tokamak’s
torus (orange skinny donut). This Resultant field contains
and controls the plasma. The two magnetic fields that
combine vectorially to make the Resultant field are: 1) the
toroidal field, generated by the green Toroidal coils; and
2) the poloidal field generated by the orange Plasma
Current in the torus. The Vertical coils (the large rings
around the outside of the tokamak, and above and below it),
can create a vertical magnetic field for controlling the
position of the plasma inside the torus. By the laws of
electromagnetism, high-energy plasma particles must be
tightly orbiting around the spiraling resultant magnetic
field lines.
The transformer coils also cause “ohmic” heating in the
plasma, which contributes to raising its temperature.
However, since the electrical resistance of plasma
decreases as its temperature increases, the upper limit on
the “ohmic” heating turns out to be about 20-30 million
degrees Celsius, which is not high enough for fusion. Thus
it is necessary to further increase the temperature by
three additional strategies: radio frequency heating,
magnetic compression, and neutral beam injection.
During the 40 years of tokamak-based fusion research, the
goal of a working fusion reactor seemed always to be 30
years away - it appears to be just as distant today as it
has been in the 1960s. With the experience gained through
these years, there are numerous reasons to suspect that
tokamak-based toroidal fusion would remain elusive for a
very long time:
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High-pressure toroidal plasma would need to be contained at
least on the order of 1 second for a useful output power
balance. Magnetically contained high-pressure toroidal
plasma appears to be much more unstable than previously
thought; erupting local instabilities may also damage the
reactor equipment.
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The frequent electron-ion and ion-ion collisions cause an
even more troublesome result: particle orbits are pushed
slightly away from its magnetic field line after each
collision, causing a gradual migration towards the
containing wall. To keep this particle loss ratio at low
levels, it is necessary to increase the distance between
the plasma and container walls. As a result, reactor
designs are growing larger, decreasing the economic
viability of tokamak designs.
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The high intensity of neutrons produced in
deuterium-tritium fusion quickly corrodes away some parts
of the reactor wall.
◦
Tritium is an astronomically expensive and difficult to
handle fuel source. Basing economies of scale on such fuel
would be problematic.
These are extremely problematic barriers to tokamak
viability, and need to be resolved before any deployment
prospects of tokamak reactors.
While mainstream scientific community has been focused on
the chosen toroidal path of fusion research, some
scientists have realized that it could be possible to
achieve inertially confined fusion with a 'virtual
accelerator grid' of electrons in a plasma sphere. Such
arrangement eliminates the problem of ion-grid collisions,
which has been plaguing inertially confined fusion in the
first place.
The operating principle of such device an electron cloud in
the center of a positively charged grid. The grid has
strong currents flowing through it, and thereby it becomes
magnetically insulated against electrons flying into it. As
magnetic field lines flow around the grid, they force
electrons to fly along these field lines; i.e. around the
grid. Initially, electrons are flying along the green
magnetic lines shown on the left side of following diagram.
Upon flying out of the grid area symbolized by the hexagon,
they are pulled back by electric force of positively
charged grid arcs, represented by red dots in the diagram.
Electrons are diamagnetic in nature, meaning that their own
motion creates a magnetic field which cancels out the
applied external field. As shown in the right side of below
diagram, a spherical region arises in the center, which is
free of magnetic fields due to the motion if electrons. At
the edge of this region, magnetic field lines are nearly
everywhere parallel to the surface of the sphere - except
for small escape holes called 'cusps'. This arrangement of
parallel field lines traps electrons at the surface of this
central region.

The trapped electrons act as a potential well, attracting
and retaining positive charged ions of fusion fuel, which
are shot into the center. The following figure illustrates
this ion trapping. Ultimately, this central plasma sphere
needs to be only slightly negatively over-charged, meaning
for example 1 million +1 electron for every 1 million
trapped proton. The interior of this plasma sphere arranges
itself to be free from both electric and magnetic field
lines, with equal number of protons and electrons inside.
Essentially, the ions move freely inside the trapping
sphere - at least in-between ion-ion and ion-electron
collisions - and are returned back from the edge of sphere
by electrostatic force of trapped surface electrons. This
edge is represented in the following diagram by the
location where ion density goes to zero. It still needs
experimental verification whether ion densities are peaking
inside the trapping sphere as shown on the following
diagram - implying very spherical edge surface - or are
more evenly distributed inside - implying a bumpy edge
surface.
The ions trapped inside this central region consist of
readily available protons (i.e. hydrogen ions) and borons
(i.e. boron ions). Eventually these ions collide head-on to
produce the following energetic fusion reactions.
The occurrence of fusion under described setup has been
experimentally demonstrated under the pioneering research
of Dr Robert Bussard. The interesting point to observe
about this setup is that it remedies all the issue that
have been plaguing tokamak fusion research:
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It is a stable spherical confinement. The magnetic field
lines that are pushed back by trapped electrons are curving
towards the center, and tend to restore themselves,
applying a balancing pressure to the trapped region.
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As electrons are electrically attracted to grid lines, they
have no tendency to migrate to the container wall. Some
'up-scattered' electrons are lost as they gather high
energy through ion-electron collisions, and need to be
replaced by electron guns. But this is a small percentage
of electrons.
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Proton-boron fusion is neutronless to a very high degree
◦
Both hydrogen and boron are abundantly available, cheap,
and practically inexhaustible fuel sources.
The overall arrangement of positively charged
electron containment is shown on the following figure, with
the arrows symbolizing current flows along this grid.
The main loss factor of the system comes from so-called
bremsstrahlung radiation. Such energy radiation is produced
when energetic electrons and ions collide. In a viable
system, energy losses from such electron radiation must be
over-powered by produced fusion energy, in other words the
brems:fusion ratio must be smaller than 1. It must be also
noted that bremsstrahlung radiation is not totally lost
system energy, as this radiation is captured on the
exterior and can be partially recirculated.
It has been determined that brems:fusion ratio depends on
two system parameters: it increases with the growing of
average ion charge, and decreases with the growing of ion
energies. The first variable can be optimized by keeping
more protons than borons in the fuel mixture. Keeping
high-energy ions trapped can be ensured by a high density
of spherically trapped electrons, which in turn depends on
the voltage and current levels of containment grid.
The real challenge is to maintain a high-enough voltage on
the positively charged containment grid. High levels of
voltage difference can be maintained in total vacuum
between the grid and container wall, but the presence of
charged ions or neutral gas can cause lightning-like short
circuiting between the grid and the wall. Following two
strategies are therefore employed for the rector design:
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Introduction of electrons and ions through electron and ion
guns respectively, so that no neutral gas would be present
in the system
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Having high electron density in the central trapping
region, relative to the regions outside of it. This way
ions would bounce back close to the edge of trapping
region, and not wander outside of it. The current
experimental setup has the escaping ions oscillate radially
along magnetic field lines through ring centers, before
being returned by the electric force of the grid. A
geometric optimization of grid arrangement can improve the
ratio of electrons inside and outside the grid area.
One idea for this second point, which still needs to be
verified, is to have a grid geometry with strongly
recirculating magnetic fields between 'cusp' holes where
centrally trapped electrons may escape. That way escaping
electrons would not oscillate 'far out' along a nearly
radial magnetic field line, but would be kept closer around
the grid. In addition, a 'tornado'-type magnetic trap can
be applied outside the charged grid, reflecting back any
energetic electrons and ions towards the center.
Altogether, a very few ions are expected to be between the
tornado trap and external container wall, allowing a
substantial increase of grid voltage. Such potential
arrangement for a next experimental setup is shown in the
following diagram. The left picture shows the charged grid,
with current arriving in through red wires and exiting
through black wires. The right picture shows the grid
arrangement within a magnetic tornado trap:

The overall energy production is proportional to at least
square power of number of trapped ions. According to
research results of M. Ohnishi et al, if ion density can be
made to peak significantly in the center of trapping
center, fusion production rate is closer to the third power
of number of trapped ions. That is a very rapid increase;
every doubling of fusion fuel density increases output
power density 8 times.
This described concept of inertially confined fusion
through a virtual electron grid confinement is commonly
referred to as 'polywell fusion', referring to the
polygon-like shape of positively charged containment grid.
It appears to have been invented by M. Sadowsky in 1969,
just a few years after the emergence of tokamak concept.
Apparently, the idea got 'lost on the shelf'. Dr Robert
Bussard has reinvented it during the 1990s, and has lead a
research team working on its experimental validation.
Interestingly, a substantial funding for fusion research in
USA has been initiated by experts on inertially confined
fusion, such as Dr Hirsch and Dr Bussard. Contrary to their
expectations, they later saw all research programs
exclusively focused on tokamak fusion. Here is Dr Bussard's
recollection of that trend:
I was the assistant director of the thermonuclear
fusion division of the Atomic Energy Commission from 1971
to 1973 when it was headed by Dr. Robert Hirsch. ...the
Arabs and the OPEC business occurred in the early 1970s
we decided to capitalize on it and try to raise enough
money to get fusion research really moving in the AEC…We
went to Congress and created a program that eventually
reached something like $800 million dollars a year in
1970 dollars and escalated because we could say, ‘look,
if fusion works, you don’t have to keep using oil.’ When
we put that through, Dr. Hirsch, myself and Dr. Alvin
Trivelpiece, said, ‘Look, let’s get a lot of money to
make the National Laboratories feel happy, so they can
pursue their own interests at levels they are happy with,
and we’ll take 20% off the top and use it to study things
that we really know should be done.’ The problem with
this approach was that all three of us left within 9
months. The people who inherited the program thought it
was all real and thought we should go ahead with magnetic
Maxwellian tokamak fusion, and it’s been that way ever
since.
The current fusion research status is that many
universities have researchers working on some aspect of
tokamak fusion, and an international construction of
industrial-scale experimental tokamak fusion reactor is
underway. This is the ITER project, with over 10 billion
euro budget. The figure shows the ITER reactor design - can
you find the figure representing human scale?
While ITER will conclusively determine whether energy from
tokamak fusion is technically feasible with current
scientific know-how, it does not make the challenges
plaguing tokamak design go away. In other words, even if
technical feasibility were to be proven, it does not
automatically make tokamak designs practical or economical.
After the recent passing away of Dr Bussard, the research
team working on polywell fusion experimentation is lead by
Dr Richard Nebel. Dr Nebel's team has managed to produce a
more thorough validation of previous polywell fusion
results, with Dr Nebel concluding their findings cautiously
in an interview:
I've been very pleased, frankly, with the sorts of
things we've been getting out of it ... The reason that
advanced fuels are so hard for conventional fusion
machines is that you have to go to high temperatures;
high temperatures are difficult on a conventional fusion
machine. ... If you look at electrostatics, high
temperatures aren't hard. High temperatures are high
voltage.
Currently Dr Nebel's results results are in peer review,
and he is awaiting review results before proposing next
experimental phase, which is expected to be construction of
a 100-MW experimental polywell fusion reactor. There are
very few researchers studying the concept of polywell
fusion, and not any single research program funding such
further investigations.
While it is good news that tokamak fusion research has been
given a real chance, some serious questions need to be
asked.
When is the time to re-examine whether focusing almost
solely on tokamak fusion research is still such a good idea
as it seemed in the 1960s? To at least consider the
possibility of having made some wrong decisions? Given its
solid theoretical foundations, potential benefits, and
absence of identified show-stoppers during pioneering
experiments, shouldn't fusion research programs take
polywell concept at least as seriously as tokamak concept?
Some institutions would reply that 'we are also
investigating laser ignited fusion'. With all due respect
to researchers working on that topic, besides the slightly
unstable plasma configuration (tokamak) and plasma
constellation lasting on the order of a nanosecond (laser
ignited fusion), shouldn't an actually stable and
fusion-capable plasma configuration be of great interest?
The present situation of total lack of commitment for
continued polywell fusion experimentation and lack of
supporting theoretical research clearly calls for citizen
activism. As with the case of thorium based fission,
citizen activism could bring about urgently needed research
and development steps:
1. Computer simulations of plasma dynamics in polywell
confinement and expected reactor behavior
2. Construction of experimental polywell fusion reactors
and ramping up theoretical research on inertially confined
fusion
3. If results of operating experimental reactor validate
reliable energy production, and indicate that per kWh costs
would be similar or lower than thorium fueled fission
reactor costs, most promising experimental reactor design
should be selected as basis for factory manufactured
polywell fusion reactors.
4. Establishing the industrial process for factory
manufacturing of validated polywell fusion reactor design.
The good news is that Dr Nebel estimates that an
experimental polywell fusion reactor could be built in 5
years. There is no time to waste however. The decision to
build ITER has been made in the mid-1980s, but its
construction has actually commenced only 20 years later. We
cannot afford anymore for a similarly long and burocratic
process, the present situation calls more for Manhattan
project-like schedules.