On the use of Schrödinger’s equation in the analytic determination of horn reflectance

We describe a method that allows an efficient determination of the density of states of one-dimensional heterostructures. We show that the propagation of an appropriate vector through the structure together with the use of the node theorem is much more effective than transfer matrix methods in those cases in which highly degenerate spectra are present. As a by-product, spatial behavior of solutions is also easily obtained. A case of elastic propagation is discussed in detail and application to Schrödinger's equation is presented.

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Determination of core polarizabilities in sodium by numerical integration of Schrödinger’s equation

Physical Review A ◽

10.1103/physreva.32.2569 ◽

1985 ◽

Vol 32 (5) ◽

pp. 2569-2572 ◽

Cited By ~ 5

Author(s):

James C. Lombardi

Keyword(s):

Numerical Integration ◽

Schrödinger’S Equation ◽

Schrödinger's Equation

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Optical solitons for the resonant nonlinear Schrödinger's equation with time-dependent coefficients by the first integral method

Optik ◽

10.1016/j.ijleo.2014.01.013 ◽

2014 ◽

Vol 125 (13) ◽

pp. 3107-3116 ◽

Cited By ~ 86

Author(s):

M. Eslami ◽

M. Mirzazadeh ◽

B. Fathi Vajargah ◽

Anjan Biswas

Keyword(s):

Integral Method ◽

First Integral ◽

Optical Solitons ◽

Time Dependent ◽

First Integral Method ◽

Schrödinger’S Equation ◽

Schrödinger's Equation ◽

Nonlinear Schrodinger’S Equation ◽

Nonlinear Schrödinger’S Equation

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Analytic Determination of Wrench Closure Workspace of Spatial Cable Driven Parallel Mechanisms

Volume 5C: 39th Mechanisms and Robotics Conference ◽

10.1115/detc2015-47976 ◽

2015 ◽

Cited By ~ 3

Author(s):

Zhiyu Sheng ◽

Joon-Hyuk Park ◽

Paul Stegall ◽

Sunil K. Agrawal

Keyword(s):

Simulation Study ◽

Null Space ◽

Boundary Surface ◽

Parallel Mechanisms ◽

Analytic Determination ◽

Structure Matrix ◽

Feasible Solutions

This paper proposes an efficient way of determining analytically the Wrench Closure Workspace (WCW) of spatial redundant cable-driven parallel mechanisms (CDPM). The method builds upon the boundary surface equations obtained from the null space of the structure matrix of CDPM. The set of feasible solutions is obtained that satisfies positive tension in the cables. This method was applied to characterize the WCW of spatial CDPM which has redundancy of 1 or 2. A simulation study was carried out to validate the accuracy and efficiency of the method. Several advantages over conventional approaches for determining the WCW were identified through simulation.

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