transforms/ discrete Hankel transformdifferential equationstransport equation/ A0230 Function theory, analysisA new and simple algorithm for computing a discrete Hankel transform, which does not rely on the fast
4) Laplace-Hankel transform Laplace-Hankel变换 1. The actual solutions can be acquired by inverting the Laplace-Hankel transform. 将这个传递矩阵关系应用于多层地基的每一层,并结合多层地基的连续条件、边界条件以及抽水作用面的连续条件,求得了饱和层状地基的抽水问题在Laplace-Hankel变换域内的解答。
A quasi-discrete Hankel transform for nonlinear beam propagationHankel变换,非线性传播,半离散,光束传输,FFT算法,计算精度,数值试验,贝塞尔函数游开明,文双春,陈列尊,王友文,胡勇华VIP中国物理b:英文版
According to this algorithm, some of the coefficients contain the most significant information about the encrypted image and the others are used to hide additional information. The work [22] is devoted to a generalized discrete fractional Fourier transform. Embedding of digital watermarks is considered...
6. Algorithm 1 Input: Primal and dual data as in (14) Output: An unfalsified Roesser model for the data. Step 1: Construct the matrix D defined by (15) from the data (14). Step 2: Compute a pair (S1, S2) of solutions to the matrix equation (23). Step 3: Perform a rank-...
The Hankel transform is an integral transform and is also known as the Fourier-Bessel transform. Until recently, there was no established discrete version of the transform that observed the same sort of relationship to its continuous counterpart as the discrete Fourier transform does to the ...
This development is in parallel to that of the discrete Fourier transform (DFT) which lead to the fast Fourier transform (FFT) algorithm. The discrete Hankel transform with kernel Jo, the Bessel function of the first kind of order zero, will be used as an illustration for deriving the ...
We propose and implement a quasi-discrete Hankel transform algorithm based on Dini series expansion(DQDHT) in this paper.By making use of the property that the zero-order Bessel function derivative J0(0)=0,the DQDHT can be used to calculate the values on the symmetry axis directly.In ...
An algorithm is proposed for a fast discrete finite Hankel transform of a function in a thin annulus. The transform arises in a natural way in the Neumann boundary-value problem for the Poisson equation in an annulus when spectral methods are applied for its numerical solution. The proposed ...
To address these needs, a novel full-vectorial fiber mode solver based on a discrete Hankel transform is introduced and validated here for the first time for rotationally symmetric fiber designs. It is shown that the effective refractive indices of the guided modes are computed with an absolute ...