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An X-ray laser can be created by several methods either in hot, dense plasmas or as a
free-electron laser A free-electron laser (FEL) is a fourth generation light source producing extremely brilliant and short pulses of radiation. An FEL functions much as a laser but employs relativistic electrons as a active laser medium, gain medium instead of using ...
in an accelerator. This article describes the x-ray lasers in plasmas, only. The plasma x-ray lasers rely on
stimulated emission Stimulated emission is the process by which an incoming photon of a specific frequency can interact with an excited atomic electron (or other excited molecular state), causing it to drop to a lower energy level. The liberated energy transfers to ...
to generate or amplify
coherent Coherence is, in general, a state or situation in which all the parts or ideas fit together well so that they form a united whole. More specifically, coherence, coherency, or coherent may refer to the following: Physics * Coherence (physics ...
, directional, high-brightness
electromagnetic radiation In physics, electromagnetic radiation (EMR) is a self-propagating wave of the electromagnetic field that carries momentum and radiant energy through space. It encompasses a broad spectrum, classified by frequency or its inverse, wavelength ...
in the near
X-ray An X-ray (also known in many languages as Röntgen radiation) is a form of high-energy electromagnetic radiation with a wavelength shorter than those of ultraviolet rays and longer than those of gamma rays. Roughly, X-rays have a wavelength ran ...
or extreme
ultraviolet Ultraviolet radiation, also known as simply UV, is electromagnetic radiation of wavelengths of 10–400 nanometers, shorter than that of visible light, but longer than X-rays. UV radiation is present in sunlight and constitutes about 10% of ...
region of the spectrum, that is, usually from ~3 nanometers to several tens of
nanometer 330px, Different lengths as in respect to the Molecule">molecular scale. The nanometre (international spelling as used by the International Bureau of Weights and Measures; SI symbol: nm), or nanometer (American spelling Despite the va ...
s (nm)
wavelength In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats. In other words, it is the distance between consecutive corresponding points of the same ''phase (waves ...
. Because of high gain in the lasing medium and short upper-state lifetimes (1–100  ps), X-ray lasers usually operate without mirrors; the beam of X-rays is generated by a single pass through the gain medium. The emitted radiation, based on amplified spontaneous emission, has relatively low spatial coherence. The line is mostly Doppler broadened, which depends on the ions' temperature. As the common visible-light laser transitions between electronic or vibrational states correspond to energies up to only about 10 eV, different active media are needed for X-ray lasers. Between 1978 and 1988 in
Project Excalibur Project Excalibur was a Lawrence Livermore National Laboratory (LLNL) Cold Warera research program to develop an X-ray laser system as a ballistic missile defense (BMD) for the United States. The concept involved packing large numbers of expendab ...
the U.S. military attempted to develop a nuclear explosion-pumped X-ray laser for ballistic missile defense as part of the "''Star Wars''"
Strategic Defense Initiative The Strategic Defense Initiative (SDI) was a proposed missile defense system intended to protect the United States from attack by ballistic nuclear missiles. The program was announced in 1983, by President Ronald Reagan. Reagan called for a ...
(SDI).


Active media

The most often used media include highly ionized plasmas, created in a capillary discharge or when a linearly focused optical pulse hits a solid target. In accordance with the Saha ionization equation, the most stable electron configurations are
neon Neon is a chemical element; it has symbol Ne and atomic number 10. It is the second noble gas in the periodic table. Neon is a colorless, odorless, inert monatomic gas under standard conditions, with approximately two-thirds the density of ...
-like with 10 electrons remaining and
nickel Nickel is a chemical element; it has symbol Ni and atomic number 28. It is a silvery-white lustrous metal with a slight golden tinge. Nickel is a hard and ductile transition metal. Pure nickel is chemically reactive, but large pieces are slo ...
-like with 28 electrons remaining. The electron transitions in highly ionized plasmas usually correspond to energies on the order of hundreds of
electron volts In physics, an electronvolt (symbol eV), also written electron-volt and electron volt, is the measure of an amount of kinetic energy gained by a single electron accelerating through an electric potential difference of one volt in vacuum. When u ...
( eV). Common methods for creating plasma X-ray lasers include: * Capillary plasma-discharge media: In this setup, a several centimeters long capillary made of resistant material (e.g.,
alumina Aluminium oxide (or aluminium(III) oxide) is a chemical compound of aluminium and oxygen with the chemical formula . It is the most commonly occurring of several aluminium oxides, and specifically identified as aluminium oxide. It is commonly ...
) confines a high-current, submicrosecond electrical pulse in a low-pressure gas. The
Lorentz force In electromagnetism, the Lorentz force is the force exerted on a charged particle by electric and magnetic fields. It determines how charged particles move in electromagnetic environments and underlies many physical phenomena, from the operation ...
causes further compression of the plasma discharge (see pinch). In addition, a pre-ionization electric or optical pulse is often used. An example is the capillary neon-like Ar8+ laser, generating radiation at 47 nm, which was first demonstrated in 1994. * Solid-slab target media: After being hit by an ultra-intense optical (laser) pulse, the metal target evaporates and emits highly excited plasma. Again, a pair of pulses is usually used in the so-called "transient pumping" scheme: (1) a longer pulse on the order of nanoseconds (sometimes preceded by one or several smaller "pre-pulses") is often used for plasma creation and (2) a second, shorter (on the order of hundreds of femtoseconds or a picosecond) and more energetic pulse is used for further excitation in the plasma volume. For short lifetimes a so-called "travelling wave" has been developed, where the plasma is heated just before the passage of the x-ray photons (so-called "guillotine principle" geometry). In order to increase the efficiency of energy transfer from the heating laser pulse into the active medium (plasma), a sheared excitation pulse is sometimes employed, so-called GRIP - grazing incidence pump geometry. The
gradient In vector calculus, the gradient of a scalar-valued differentiable function f of several variables is the vector field (or vector-valued function) \nabla f whose value at a point p gives the direction and the rate of fastest increase. The g ...
in the
refractive index In optics, the refractive index (or refraction index) of an optical medium is the ratio of the apparent speed of light in the air or vacuum to the speed in the medium. The refractive index determines how much the path of light is bent, or refrac ...
of the plasma causes the amplified pulse to bend ''from'' the target surface, because at the frequencies above resonance the refractive index decreases with matter density. This can be compensated for by using curved targets or multiple targets in series. *Plasma excited by optical field: At optical densities high enough to cause effective electron tunnelling, or even to suppress the potential barrier (> 1016 W/cm2), it is possible to highly ionize gas without contact with any capillary or target. A collinear setup is usually used, enabling the synchronization of pump and signal pulses. An alternative amplifying medium is the relativistic electron beam in a
free-electron laser A free-electron laser (FEL) is a fourth generation light source producing extremely brilliant and short pulses of radiation. An FEL functions much as a laser but employs relativistic electrons as a active laser medium, gain medium instead of using ...
, which, strictly speaking, uses stimulated
Compton scattering Compton scattering (or the Compton effect) is the quantum theory of high frequency photons scattering following an interaction with a charged particle, usually an electron. Specifically, when the photon hits electrons, it releases loosely bound e ...
instead of stimulated emission. Other approaches to optically induced coherent X-ray generation are: * high-harmonic generation * stimulated
Thomson scattering Thomson scattering is the elastic scattering of electromagnetic radiation by a free charged particle, as described by classical electromagnetism. It is the low-energy limit of Compton scattering: the particle's kinetic energy and photon frequency ...
* Betatron radiation {{Cite journal, url=https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.64.2511, doi = 10.1103/PhysRevLett.64.2511, title = Ion-channel laser, year = 1990, last1 = Whittum, first1 = David H., last2 = Sessler, first2 = Andrew M., last3 = Dawson, first3 = John M., journal = Physical Review Letters, volume = 64, issue = 21, pages = 2511–2514, pmid = 10041731, bibcode = 1990PhRvL..64.2511W, url-access = subscription


Applications

Applications of coherent X-ray radiation include coherent diffraction imaging, research into dense plasmas (not transparent to visible radiation), X-ray microscopy, phase-resolved medical imaging,
material A material is a matter, substance or mixture of substances that constitutes an Physical object, object. Materials can be pure or impure, living or non-living matter. Materials can be classified on the basis of their physical property, physical ...
surface research, and weaponry. A soft x-ray laser can perform ablative laser propulsion.


See also

* European x-ray free electron laser * Industrial CT scanning * LCLS X-ray Free Electron Laser at SLAC * Strategic Defense Initiative X-ray laser and
Project Excalibur Project Excalibur was a Lawrence Livermore National Laboratory (LLNL) Cold Warera research program to develop an X-ray laser system as a ballistic missile defense (BMD) for the United States. The concept involved packing large numbers of expendab ...


References

Laser A laser is a device that emits light through a process of optical amplification based on the stimulated emission of electromagnetic radiation. The word ''laser'' originated as an acronym for light amplification by stimulated emission of radi ...
Laser types