Abstract The extended source effect on microlensing magnification is nonnegligible and must be taken into account for an analysis of microlensing. However, the evaluation numerically expensive because it includes two-dimensional integral over profile. Various studies have developed methods to reduce this down one-dimensional-integral- or integral-free form, which adopt some approximations depen...

The original definition of the derivatives of a function makes sense only for integral orders, i.e. we can speak of the first or second derivative and so on. However, it is possible to extend the definition of the derivative to noninteger orders by using an elementary property of Fourier transforms. Bracewell shows how fractional derivatives can be used to characterize the discontinuities of ce...

Gaining time, resolution and sensitivity at the same time: covariance processing of two-dimensional NMR spectra of microcrystalline proteins improves spectral quality over conventional Fourier transformation despite a significant reduction of the experimental time.

Embedding of a watermark signal is an interesting research and application field in the copyright protection of multimedia signals (images, sounds, movies) [1–4]. The goal is to embed the watermark that is imperceptible in the image, while the copyright holder can detect its existence, by using proper private information—key. Commonly used methods are based on embedding watermark signals in the...

We demonstrate serial-to-parallel conversion of 40 Gbps optical time division multiplexed (OTDM) signal to 4x10 Gbps wavelength divisionmultiplexed (WDM) individual channels by using Optical Fourier Transformation (OFT) method. OFT is also called time lens technique and it is implemented by the combination of dispersive fiber and phase modulation. In this research, electro-optic phase modulator...

Integral transformations of the QCD invariant (running) coupling and of some related objects are discussed. Special attention is paid to the Fourier transformation, that is to transition from the space-time to the energy–momentum representation. The conclusion is that the condition of possibility of such a transition provides us with one more argument against the real existence of unphysical si...

Vector fields play an important role in many areas of computational physics and engineering. For effective visualization of vector fields it is necessary to identify and extract important features inherent in the data, defined by filters that characterize certain “patterns”. Our prior approach for vector field analysis used the Clifford Fourier transform for efficient pattern recognition for ve...

Integral transformations of the QCD invariant (running) coupling and of some related objects are discussed. Special attention is paid to the Fourier transformation, that is to transition from the space-time to the energy–momentum representation. The conclusion is that the condition of possibility of such a transition provides us with one more argument against the real existence of unphysical si...

In this paper a novel technique, Authentication and Secret Message Transmission using Discrete Fourier Transformation (ASMTDFT) has been proposed to authenticate an image and also some secret message or image can be transmitted over the network. Instead of direct embedding a message or image within the source image, choosing a window of size 2 x 2 of the source image in sliding window manner an...

There are many communication circuits driven by multitone signals such as modulator and mixer. If the input frequency components are largely dHferent in each other, the brute force numerical method will take an enormous comput at ion time to get the steady-state responses. In this paper, we show a SPICE oriented algorithm based on multi-dimensional Fourier transformation, where all of the circu...