The Fourier-spectrum of circular sine and cosine gratings with arbitrary radial phases
نویسنده
چکیده
The Fourier spectra of circular gratings having sine or cosine radial profiles are derived, and their particular properties are discussed. These results are then extended to the most general form of circular sinusoidal gratings, namely: circular sine or cosine gratings with any arbitrary radial phase. q 1998 Elsevier Science B.V.
منابع مشابه
Fourier spectra of radially periodic images with a non-symmetric radial period
It has been previously shown that a radially periodic image having a symmetric radial period can be decomposed into a circular Fourier series of circular cosine functions with radial frequencies of f = 1/T , 2/T , . . . , and that its Fourier spectrum consists of a series of half-order derivative impulse rings with radii f = n/T (which are the Fourier transforms of the circular cosines in the s...
متن کاملOptimal Placement of Remote Control Switches in Radial Distribution Network for Reliability Improvement using Particle Swarm Optimization with Sine Cosine Acceleration Coefficients
Abstract: One of the equipment that can help improve distribution system status today and reduce the cost of fault time is remote control switches (RCS). Finding the optimal location and number of these switches in the distribution system can be modeled with various objective functions as a nonlinear optimization problem to improve system reliability and cost. In this article, a particle swarm ...
متن کاملTransmission Characteristics of Long-Period Fiber Gratings Having Arbitrary Azimuthal/Radial Refractive Index Variations
A numerical method is presented for determining the transmittance of long-period (LP) fiber-gratings having arbitrary azimuthal/radial refractive index variations. The method uses coupled-mode theory and includes both the sine and cosine character of the LP modes. The model treats interactions between the fundamental mode and high-azimuthal-order cladding modes. The method utilizes the transfer...
متن کاملFourier spectrum of radially periodic images
Although the spectrum of radially periodic images is often expressed in terms of finite or infinite series of Bessel functions, such expressions do not clearly reveal the exact impulsive structure of the spectrum. An alternative Fourier decomposition of radially periodic images, in terms of circular cosine functions, is presented, and its significant advantages are shown. It is shown that the F...
متن کاملModified Sine-Cosine Algorithm for Sizing Optimization of Truss Structures with Discrete Design Variables
This paper proposes a modified sine cosine algorithm (MSCA) for discrete sizing optimization of truss structures. The original sine cosine algorithm (SCA) is a population-based metaheuristic that fluctuates the search agents about the best solution based on sine and cosine functions. The efficiency of the original SCA in solving standard optimization problems of well-known mathematical function...
متن کامل