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71.
The backward phase flow and FBI-transform-based Eulerian Gaussian beams for the Schrödinger equation
We propose the backward phase flow method to implement the Fourier–Bros–Iagolnitzer (FBI)-transform-based Eulerian Gaussian beam method for solving the Schrödinger equation in the semi-classical regime. The idea of Eulerian Gaussian beams has been first proposed in [12]. In this paper we aim at two crucial computational issues of the Eulerian Gaussian beam method: how to carry out long-time beam propagation and how to compute beam ingredients rapidly in phase space. By virtue of the FBI transform, we address the first issue by introducing the reinitialization strategy into the Eulerian Gaussian beam framework. Essentially we reinitialize beam propagation by applying the FBI transform to wavefields at intermediate time steps when the beams become too wide. To address the second issue, inspired by the original phase flow method, we propose the backward phase flow method which allows us to compute beam ingredients rapidly. Numerical examples demonstrate the efficiency and accuracy of the proposed algorithms. 相似文献
72.
An ordered list of binary words of length n is called a distance-preserving m, n-code, if the list distance between two words is equal to their Hamming distance, for distances up to m. A technique for constructing cyclic m, n-codes is presented, based on the standard Gray code and on some simple tools from linear algebra. 相似文献
73.
RL-C并联谐振态量与Q的几个关系式 总被引:1,自引:1,他引:0
对RL-C并联谐振电路中的几个谐振态量与Q之间的关系作了详尽的推导。 相似文献
75.
For solving minimum cost flow problems, we develop a combinatorial interior point method based on a variant of the algorithm of Karmarkar, described in Gonzaga [3, 4]. Gonzaga proposes search directions generated by projecting certain directions onto the nullspace ofA. By the special combinatorial structure of networks any projection onto the nullspace ofA can be interpreted as a flow in the incremental graph ofG. In particular, to evaluate the new search direction, it is sufficient to choose a negative circuit subject to costs on the arcs depending on the current solution. That approach results in an O(mn
2
L) algorithm wherem denotes the number of vertices,n denotes the number of arcs, andL denotes the total length of the input data. 相似文献
76.
The concept, the present status, key issues and future prospects of a novel hexagonal binary decision diagram (BDD) quantum circuit approach for III–V quantum large-scale integrated circuits (QLSIs) are presented and discussed. In this approach, the BDD logic circuits are implemented on III–V semiconductor-based hexagonal nanowire networks controlled by nanoscale Schottky gates. The hexagonal BDD QLSIs can operate at delay-power products near the quantum limit in the quantum regime as well as in the many-electron classical regime. To demonstrate the feasibility of the present approach, GaAs Schottky wrap gate (WPG)-based single-electron BDD node devices and their integrated circuits were fabricated and their proper operations were confirmed. Selectively grown InGaAs sub-10 nm quantum wires and their hexagonal networks have been investigated to form high-density hexagonal BDD QLSIs operating in the quantum regime at room temperature. 相似文献
77.
魏文国 《高校应用数学学报(A辑)》1996,(1):105-112
本文主要讨论了欧拉图方面的国际权威HerbertFleichner教授所著书[1]中的一个问题;对欧拉图G的任意两个欧拉游历要经过多少K-变换或K^*-变换才能从一个游历得到另一个游历?我们得到的结论是:对欧拉图G中的任两个欧拉游历T、T'最多经过‖E(G)‖-‖V(G)‖-变换可以使T变换成T'。且此结果不能再改进。进一步我们分别对K-变换和K&-变换的算法复杂性进行了讨论。 相似文献
78.
79.
Y. Uzawa M. Takeda A. Kawakami Z. Wang T. Noguchi 《International Journal of Infrared and Millimeter Waves》2005,26(1):41-54
We describe a novel method of designing a tuning circuit with two half-wave distributed junctions separated by a half-wavelength microstripline, which analytically determines the circuit parameters such as the minimum current density of the junctions and the characteristic impedances of the distributed junctions and the microstripline. The tuning circuit was approximated by simple transmission theory and then simplified with ideal circuit components for analysis. We applied Chebyshevs band-pass filter theory, in part, to optimize the circuit design. The analytical results revealed that a high characteristic-impedance ratio between the distributed junctions and the microstripline is necessary to obtain broadband matching using low-current-density junctions. The experimental results for all-NbN SIS mixers we designed with this method demonstrated double-sideband (DSB) receiver-noise temperatures of 6–10 quanta from 710 to 810 GHz for a mixer with a current density of only 4 kA/cm2 (estimated CJRN product of 37 at 750 GHz). The RF bandwidth was broader than that of a conventional full-wave distributed SIS mixer with the same current density. 相似文献
80.
We proposed in this study a novel analog complementary metal oxide semiconductor (CMOS) circuit for generating a motion signal
when an object moves, which is a simple structure. The proposed unit circuit was constructed using a previously proposed edge
detection circuit and a novel proposed circuit for generating a motion signal which accepts an edge signal. The part for generating
the motion signal was constructed using six metal oxide semiconductor (MOS) transistors and one capacitor. Results obtained
by the simulation program with integrated circuit emphasis (SPICE) and the measured results of a test circuit constructed
with discrete MOS transistors and the test circuit fabricated with a 1.2 μm CMOS process showed that the proposed unit circuit
can output pulsed current (motion signal) when an object moves on the circuit. It was clarified from the SPICE results that
the two-dimensional network constructed with proposed unit circuits can output motion signals. The size of the novel unit
circuit is expected to be about 110 × 110μm2 obtained by the 1.2 μm CMOS process. It is possible to arrange 90 × 90 unit circuits on a chip which has an area of 1 × 1cm2. The aperture ratio is expected to be about 21%, which is twice as large as that of the previously proposed circuit. An integrated
circuit for image processing in real time can thus be realized by applying the two-dimensional network constructed with the
proposed circuits. 相似文献