We review several one-dimensional problems such as those involving linear Schrödinger equation, variable-coefficient Helmholtz Zakharov–Shabat system and Kubelka–Munk equations. show that they all can be reduced to solving one simple antilinear ordinary differential equation u′x=fxux¯ or its nonhomogeneous version u′x=fxux¯+gx, x∈0,x0⊂R. point out some of the advantages proposed reformulation c...

We present a theory predicting the high-frequency-high-wavenumber part of the spectral energy density of internal waves in the ocean. The theory is based on the wave turbulence formalism applied to a natural Hamiltonian description for the internal wave field. We show that stationary energy spectra form a family of statistically steady state scale invariant solutions. Remarkably, the high-frequ...

[1] Radar observations of the sea surface at C-Band and small incidence angles are used to investigate some properties of the surface slope probability density function (pdf). The method is based on the analysis of the variation of the radar cross-section with incidence angle, assuming a backscattering process following the Geometrical Optics theory. First, we assess the limit of this model in ...

In this paper optical properties of microcrystalline HfO2 powder are investigated. X-ray diffraction and Raman spectroscopy were used to determine that the studied samples in monoclinic phase. Based on analysis diffuse reflectance spectra applying Kubelka-Munk formalism we evaluated indirect bandgap value Eg = 5.34 ± 0.05 eV. The calculated is agreement with independent data for thin films synt...

We use radiances collected from space by the Infrared Atmospheric Sounder Interferometer (IASI) when looking down at ocean surfaces during day to remotely determine probability distribution of wave slopes. This is achieved using about 300 channels between 3.6 and 4.0μm a physically-based approach which properly takes contribution reflected solar radiation into account. Based on 150 millions obs...

This work shows a correlation between light reflectance, absorption, and morphologies of series bismuth manganate–lead titanate, (1 − x) BM–x PT, (x = 0.00, 0.02, 0.04, 0.08, 0.12, 0.16, 0.24, 1.00) ceramics composite. Low reflectance in the Vis-NIR range corresponds to ‘black mirror’ features. The modified Kubelka-Munk function applied measured visible-near infrared (Vis-NIR) diffuse enabled e...

Seeing means perceiving light from an external source which was scattered in a material medium and reemitted toward the observer’s eye. Thereby colors are the result of wavelength dependent absorption processes. The physical basis of color as molecular or atomic phenomenon is state-of-the-art in science, both in experimental and in theoretical respect. But to the authors knowledge, the deriving...

In recent years, the Indian Ocean (IO) has been discovered to have a much larger impact on climate variability than previously thought. This paper reviews processes in which the IO is, or appears to be, actively involved. We begin the mathematical model with a pattern for summer monsoon winds. Three dimensional temperature and velocity fields are calculated analytically for the ocean forced by ...