Scheme for Direct Measurement of Wigner Characteristic Function for Motion of a Single Trapped Ion

In this paper, a procedure is proposed for measuring Wigner characteristic function for motion of a single trapped ion. In the scheme, the trapped ion is driven by two laser beams with different frequencies tuned to the first lower and upper vibrational sidebands, respectively. Unlike other previous scheme, our scheme does not require the displacement of the external state before the ion-laser interaction and thus our scheme night be more simple and feasible. The scheme can also be used to prepare the motional Schroedinger cat states and entangled coherent states.     

Scheme for teleportation of unknown states of trapped ion

A scheme is presented for teleporting an unknown state in a trapped ion system. The scheme only requires a single laser beam. It allows the trap to be in any state with a few phonons, e.g. a thermal motion. Furthermore, it works in the regime, where the Rabi frequency of the laser is on the order of the trap frequency. Thus, the teleportation speed is greatly increased, which is important for decreasing the decoherence effect. This idea can also be used to teleport an unknown ionic entangled state.     

Feasibility of photoacoustic tomography for ophthalmology

For the eyeball composed of membrane and liquid,the contrast of ultrasound imaging is not high due to its small variance in acoustic impedance.As a new imaging modality,photoacoustic tomography combines the advantages of pure optical and ultrasonic imaging together and can provide high resolution,high contrast images.In this paper,the feasibility of photoacoustic tomography for ophthalmology is studied experimentally.A Q-switched Nd:YAG pulsed laser with 7-ns pulse width is used to generate photoacoustic signal of a porcine eyeball in vitro.The two-dimensional(2D)optical absorption image of the entire eyeball is reconstructed by time-domain spherical back projection algorithm.The imaging results agree well with the histological structure of the eyeball and show a high imaging contrast.     

Analysis of characteristics of broadband matching for piezoelectric ceramic transducer

Characteristics of broadband matching for piezoelectric ceramic transducer are fully analyzed. It is stated that in the case of without an all pass function, good matching characteristics of maximum bandwidth and gain-bandwidth product are implied in the Butterworth matching theorem. If the parameterσ< .252, it is not helpful to add an all pass function to the circuit following the rule of minimizing center frequency and maximizing gain-bandwidth product.     

Reconstruction of singularities for solutions of Schrödinger's equation

We determine the behavior in time of singularities of solutions to some Schrödinger equations onR ⁿ . We assume the Hamiltonians are of the formH ₀+V, where \(H_0 = 1/2\Delta + 1/2 \sum\limits_{k = 1}^n { \omega _k^2 x_k^2 } \) , and whereV is bounded and smooth with decaying derivatives. When all ω _k =0, the kernelk(t,x,y) of exp (?itH) is smooth inx for every fixed (t,y). When all ω₁ are equal but non-zero, the initial singularity “reconstructs” at times \(t = \frac{{m\pi }}{{\omega _1 }}\) and positionsx=(?1) ^m y, just as ifV=0;k is otherwise regular. In the general case, the singular support is shown to be contained in the union of the hyperplanes \(\{ x|x_{js} = ( - 1)^l js_{y_{js} } \} \) , when ω _j t/π=l _j forj=j ₁,...,j _r .     

Determination of γ Factor of Kalbach-Mann Systematics for Energy Balance

Kalbach Mann systematics is a very useful formula to discrete the double-differential cross sections of emitted particles. However, the energy balance by using this systematics is still a task to be studied. In the form of Legendre polynomial expansion the energy balance has been proved analytically. In terms of this approach, the formula to determine the prc-equilibrium fraction r factor of Kalbach Mann systematics has been obtained for keeping energy balance strictly. This formula could be straightforwardly applied for describing the double-differential cross sections of all projectile types in the eontinuum spectrum emissions. It indicates that Legendre expansion coefficient with l= 1 is the key term in the energy balance.     

Dispersion of Singularities of Solutions for Schrödinger Equations

We consider the singularities of solutions for the Schrödinger evolution equation associated with where Q is a d×d real symmetric matrix with the eigenvalues ₁,,_d, and WC(R^d,R) satisfies W(x)=o(|x|²) as |x|. Under additional conditions, we show the dispersion of microlocal singularities of solutions due to the principal symbol in all directions at time and in the nondegenerate directions at t. We also show the weaker dispersion of microlocal singularities of solutions due to the subprincipal symbol W in the degenerate directions at t if W satisfies W(x)=O(|x|¹⁺) as |x| for some 0<<1 and additional conditions. In particular, we prove the dispersion of microlocal singularities of solutions at resonant times when H is a perturbed harmonic oscillator.Partly supported by Grand-in-Aid for Young Scientists (B) 14740110, Japan Society of the Promotion of Science; and Mathematical Sciences Research Institute in BerkeleyDedicated to Professor Mitsuru Ikawa on his sixtieth birthday     

Theoretical Calculations of Opacity for Non-Local-Thermodynamic-Equilibrium Plasmas

A method is presented to calculate the spectral-resolved opacity for non-local-thermodynamic-equilibrium plasmas. With the present method, the configuration population is obtained by solving the rate equations within the framework of configuration-averaged approximation in which the cross sections are calculated based on the first-order perturbation theory. The transition properties are calculated by using the unresolved transition array model. As the illustration, the frequency-dependent opacities of AI and Au plasmas are calculated and compared with the simulation results of the super configuration collisional radiative code. General agreements are obtained and there are some discrepancies for opacity of high-Z elements.     

Operation of LECR2 for HIRFL Facility

LECI:L2 (Lanzhou Electron Cyclotron l:tesonance No.2) is a 14.5 GHz ECR ion source (ECRIS) used at the axial injection beam line as an external ion source of the injector SFC. In 2003, to be adapted with the SFC reconstruction and modification, the source was moved from the north side of the beam line to the east side, and the other source LECR1 worked at 10 GHz was removed from the beam line. At the moment LECR2 is the only ion source in service for HIRFL accelerators.     

Optimization of holey fiber for dispersion compensation

Hermite-Gaussian functions were used to calculate the dispersion of holey fibers, when pitch was more than 0.6 μm, there was dispersion inflexion at 1.55 μm (wavelength), and the relation of the dispersion inflexion versus fiber structure was given. Calculations show that the dispersion of holey fiber could reach -2300 ps/(nm·km), or they could compensate (to within ±4%) the dispersion of 120 times of their length of standard single mode fiber over a 100-nm range.     

Study of Lamination Characteristics for Rapid Prototyping

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Implementation of efficient image reconstruction for CT

Computer Tomography (CT) refers to the cross-sectional imaging of an object. When a series of rays pass through an object, the ray attenuation occurs. After projections are collected by many detectors on the side of the ob- ject, image reconstruction algorithm can be used to re- construct its two-dimensional (2D) cross-sectional image from its projection[1]. The mathematical basis for tomog- raphy was inverse radon transform theory. The filtered back projection algorithm is widely used by al…     

Canonical Formalism for Lagrangians of Maximal Nonlocality

A canonical formalism for Lagrangians of maximal nonlocality is established. The method is based on the familiar Legendre transformation to a new function, which can be derived from the maximally nonlocal Lagrangian.The corresponding canonical equations are derived through the standard procedure in local theory and appear much like those local ones, though the implication of the equations is largely expanded.