The Classical Parabolic Equation, as expressed in Equation 1, is transformed into a first-order ordinary differential equation that can be directly solved through a spatial-to-spectral domain Fourier ...

Recently, we developed a Fourier transform spectrometer (FTS) based on a compact 8 µm frequency comb that allows line position retrieval with sub-MHz accuracy [2]. We record and interleave spectra at ...

Recently, the use of Fourier transform infrared (FTIR) spectroscopy, thermogravimetry analysis (TGA), differential scanning calorimetry, near-infrared spectroscopy and Raman spectroscopy have gained a ...

Programming and reprogramming function-oriented mechanical behaviors of materials is crucial for their adaptivity to varying application scenarios. Different from the methods depending on iterative ...

Comparison of the average energy and period distributions for simulated Gaussian white noise (top) and AR(1) noise (bottom) for AR(1) values ϕ = {−0.8,−0.4, 0, 0.4, 0.8} as a function of the ...

As an example, consider an operator that transforms a function into its derivative (turning the sine of x into the cosine of x, for example, or x 3 into 3x 2, and so on). The input and output sides ...

Joe Goodman, an international expert in Fourier optics, statistical optics, and speckle phenomena, has published his latest book, Fourier Transforms Using Mathematica®, with SPIE Press. The book ...

Investigation of Hilbert–Huang Transform and Fourier Transform for Horizontal-to-Vertical Spectral Ratio Analysis: Understanding the Shallow Structure in Mataram City, Lombok, Indonesia Mochammad ...