The concept of two-dimensional (2D) Fourier transformation in NMR was first introduced by Jeener (1) in 1971. Since that time, several hundred different 2D pulse schemes have been proposed in the literature. The selection of experiments that will be described is based on the insight they provide into the basis and generality of 2D NMR, and also on the importance for solving the most common type...

We study the Laplace operator subject to Dirichlet boundary conditions in a two-dimensional domain that is one-toone mapped onto a cylinder (rectangle or infinite strip). As a result of this transformation the original eigenvalue problem is reduced to an equivalent problem for an operator with variable coefficients. Taking advantage of the simple geometry we separate variables by means of the F...

We present a method of parallel full range complex Fourier-domain optical coherence tomography (FDOCT) that is capable of acquiring an artifacts-free two-dimensional (2-D) cross-sectional image, i.e. a full range B-scan tomogram, by a single shot of 2-D CCD camera. This method is based on a spatial carrier technique, in which the spatial carrier-frequency is instantaneously introduced into the ...

A corn kernel classification procedure was developed in the frequency domain using a two-dimensional Fourier Transform for inspection of stress cracks. Investigations were also conducted to define suitable conditions and optimum image resolution for viewing stress cracks in corn kernels using a computer vision system. A pre-processing procedure included contrast enhancement, edge enhancement, a...

We show pseudogap maps of Anderson localization of light adopting the parameters of self-organized nanocolumn samples, which consist of random arrays of parallel nanosized columnar semiconductor crystals. The maps indicate the parametric dependence of the localization effect. To obtain the maps, we simulated light propagation in open randommedia using the two-dimensional finite-difference time-...

We derive an effective Lagrangian for meson fields. This is done in the light-cone gauge for two-dimensional large-Nc QCD by using the bilocal auxiliary field method. The auxiliary fields are bilocal on light-cone space and their Fourier transformation determines the parton momentum distribution. As the first test of our method, the ’t Hooft equation is derived from the effective Lagrangian. E-...

Abstract When we have a digital image which contains some objects and a ruler, we know the size of objects by rough estimate. Since measuring the object size in the digital image is usually manual, we developed the detection method of scale interval on a ruler. In our method we transfer digital image into frequency space using two-dimensional discreet fourier transformation, a specific frequenc...

small scale thermal devices, such as micro heater, have led researchers to consider more accurate models of heat in thermal systems. moreover, biological applications of heat transfer such as simulation of temperature field in laser surgery is another pathway which urges us to re-examine thermal systems with modern ones. non-fourier heat transfer overcomes some shortcomings of fourier heat tran...

Abstract The main purpose of this work is solving a generalized (2 + 1)-dimensional nonlinear wave equation via $$\bar{\partial }$$ ∂ ¯ -dressing method. key to process establish connection between characteristic functions and -problem. With use...

A BMO-estimation of two-dimensional Walsh-Fourier series is proved from which an almost everywhere exponential summability of quadratic partial sums of double Walsh-Fourier series is derived.