Intense ion beams for inertial confinement fusion

Intense beams of light and heavy ions are being studied as inertial confinement fusion (ICF) drivers for high yield and energy. Heavy and light ions have common interests in beam transport, targets, and alternative accelerators. Self-pinched transport is being jointly studied. This article reviews the development of intense ion beams for ICF. Light-ion drivers are highlighted because they are compact, modular, efficient and low cost. Issues facing light ions are: (1) decreasing beam divergence; (2) increasing beam brightness; and (3) demonstrating self-pinched transport. Applied-B ion diodes are favored because of efficiency, beam brightness, perceived scalability, achievable focal intensity, and multistage capability. A light-ion concept addressing these issues uses: (1) an injector divergence of ⩽24 mrad at 9 MeV; (2) two-stage acceleration to reduce divergence to ⩽12 mrad at 35 MeV; and (3) self-pinched transport accepting divergences up to 12 mrad. Substantial progress in ion-driven target physics and repetitive ion diode technology is also presented. Z-pinch drivers are being pursued as the shortest pulsed power path to target physics experiments and high-yield fusion. However, light ions remain the pulsed power ICF driver of choice for high-yield fusion energy applications that require driver standoff and repetitive operation     

Electron shake-off in neon and the interaction of continuum states

Transition probabilities for shake-off of a 2p electron in a neon atom into the continuum following the creation of a vacancy in the 1s shell by an energetic electron or photon are calculated in the sudden approximation and include the electrostatic interaction between the shake-off electron and the residual ion core. The calculations is based on nonrelativistic Hartree-Fock-Slater wave functions, the residual interaction resulting from the electrostatic term being treated as a perturbation. In the first Born limit as well as in a complete calculation results for the ratio I(^3P)/I(1P = $\text{transition probability to continuum states with}{}^3\text{P}\text{core}\text{transition probability to continuum states with}{}^1\text{P}\text{core are lower than the value 3: 1 predicted by statistics in the independent particle limit}$.     

Recent progress in the study of photoionization processes of atomic species by electron spectroscopy using synchrotron radiation

The use of the synchrotron radiation emitted by the ACO storage ring has recently produced new significant results in the study of single and multiple photoionization processes in atoms. With photon flux in the 10¹⁰-10¹¹ photons/sec in 1 % band width between 30 and 110 eV, we have been able to investigate photoionization processes with cross sections as low as 0.01 megabarn. It has thus been possible to study the correlation satellites in helium, argon and xenon, to determine subshell photoionization cross sections, including the variation of branching ratios due to the spin-orbit splitting, to produce photoemission spectra of metallic vapors and to observe threshold effects, like the post collision interaction.     

Faceting during the transformation of amorphous to crystalline ice

We study the thermally activated transition from amorphous to crystalline ice (D2O) on Cu(111) with high-resolution scanning tunneling microscopy. Annealing of amorphous solid water up to the desorption temperature of 149 K results subsequently in monomer decorated double bilayers with different superstructure, a faceted surface, pyramidal islands, and nanocrystallites of distinct height at different coverages. Though all structures are truncations from crystalline water ice, for none of them is the ice bilayer found to be the terminating surface.     

Auger- und Coster-Kronig-Übergänge der M-Schale von Krypton

The Auger spectra of theM ₂,M ₃,M ₄,M ₅ subshells of krypton and the Coster-Kronig spectra of theM ₁,M ₂,M ₃ subshells of krypton were measured with an electrostatical spectrometer. The ionization in theM shells was caused by electron impact. The use of a gaseous target made it possible to measure the Auger lines even at energies as low as 25 eV. The absolute energies and relative intensities of a great number of transitions were determined: 22 of theM _{4, 5} spectrum, 14 of theM _{2, 3} spectrum and 2 of theM ₁ spectrum. Only in the case of theM _{2, 3} spectrum a comparison between the relative intensities, determined experimentally, and those calculated byRubenstein forZ=47 was possible. The agreement is only qualitatively. Moreover, from the Auger electron energies measured, the following binding energies were calculated:E(M ₁)=(292,1±1,0) eV,E(M ₂)=(222,1±0,6) eV,E(M ₃)=(214,6±0,6)eV,E(N ₁ N ₁)=(62,81±0,05) eV.     

Every DFS Tree of a 3‐Connected Graph Contains a Contractible Edge

Tutte proved that every 3‐connected graph G on more than 4 vertices contains a contractible edge. We strengthen this result by showing that every depth‐first‐search tree of G contains a contractible edge. Moreover, we show that every spanning tree of G contains a contractible edge if G is 3‐regular or if G does not contain two disjoint pairs of adjacent degree‐3 vertices.     

Routing through a generalized switchbox

We present an algorithm for the routing problem for two-terminal nets in generalized switchboxes. A generalized switchbox is any subset R of the planar rectangular grid with no nontrivial holes, i.e., every finite face has exactly four incident vertices. A net is a pair of nodes of nonmaximal degree on the boundary of R. A solution is a set of edge-disjoint paths, one for each net. Our algorithm solves standard generalized switchbox routing problems in time O(n(log n)²) where n is the number of vertices of R, i.e., it either finds a solution or indicates that there is none. A problem is standard if deg(ν) + ter(ν) is even for all vertices ν where deg(ν) is the degree of ν and ter(ν) is the number of nets which have ν as a terminal. For nonstandard problems we can find a solution in time O(n(log n)² + |U|²) where U is the set of vertices ν with deg(ν) + ter(ν) is odd.     

LOOK: A Lazy Object-Oriented Kernel design for geometric computation

In this paper we describe and discuss a new kernel design for geometric computation in the plane. It combines different kinds of floating-point filter techniques and a lazy evaluation scheme with the exact number types provided by LEDA allowing for efficient and exact computation with rational and algebraic geometric objects.

It is the first kernel design which uses floating-point filter techniques on the level of geometric constructions.

The experiments we present—partly using the CGAL framework—show a great improvement in speed and—maybe even more important for practical applications—memory consumption when dealing with more complex geometric computations.