The widely used split-step Fourier method has difficulties when solving partial differential equations with saturable gain. Here, we describe a modified split-step Fourier method, and we compare it to several different algorithms for solving the Haus mode-locking equation and related equations that are used to model mode-locked lasers and other optical oscillators and amplifiers with saturable ...

The paper proposes design of an array antenna with proximity coupled feeding at frequency 2.55 GHz. At first, a linearly polarised rectangular patch antenna is discussed. The basic rectangular structure is modified using proximity coupled feed to enhance the impedance bandwidth. Then, in order to introduce circular polarisation, the patch structure is further modified into Split Ring structure....

In telecommunication, the DSL is widely understood as ADSL. In ADSL, „A‟ stands for Asynchronous” which means that the data stream are not going at the same data rate. Asymmetric Digital Subscriber Line (ADSL) is a high speed internet access over an existing telephone line. To increase the spectral efficiency of the available bandwidth, ADSL provides services for customers to receive internet a...

and Applied Analysis 3 PK is called the metric projection ofH ontoK. It is well known that PK is a nonexpansive mapping ofH onto K and satisfies 〈x − y, PKx − PKy〉 ≥ ∥ PKx − PKy ∥ ∥ 2 , 2.3 for every x, y ∈ H. Moreover, PKx is characterized by the following properties: PKx ∈ K and 〈x − PKx, y − PKx〉 ≤ 0, ∥ ∥x − y∥∥ ≥ ‖x − PKx‖ ∥ ∥y − PKx ∥

In this paper a modified algorithm for solving the split feasibility problem (SFP) is presented. This algorithm uses the generalized Armijo line search in computing predictor step size and gives a correction step rule in the iterative process, which makes an accelerated convergence to the solution of SFP. Meanwhile, it needs not to compute the matrix inverses and the large eigenvalue of the mat...

The split equality problem (SEP) has extraordinary utility and broad applicability in many areas of applied mathematics. Recently, Byrne and Moudafi (2013) proposed a CQ algorithm for solving it. In this paper, we propose a modification for the CQ algorithm, which computes the stepsize adaptively and performs an additional projection step onto two half-spaces in each iteration. We further propo...

IN the course of recording eye movements it has become evident that the fixation direction of the eye changes slightly when the colour of the fixation target is changed. The technique used is that described by Ditchburn and Ginsborg (1953), photographing the movements of a beam of light reflected from a mirror attached to a contact lens worn by a subject. Several modifications as described by F...

In 1996, the European Enhanced Vehicle Safety Committee, Working Group 17 (EEVC WG17) proposed a set of impact procedures to evaluate the pedestrian injury risk of vehicle fronts. These procedures address three aspects of pedestrian protection head impacts, lower limb impacts, and thigh impacts through vehicle subsystem tests. The criteria assessed during these impact tests are affected by the ...