Second harmonic generation and optical parametric amplification in negative-index metamaterials (NIMs) are studied. The opposite directions of the wave vector and the Poynting vector in NIMs results in a “backward” phasematching condition, causing significant changes in the Manley– Rowe relations and spatial distributions of the coupled field intensities. It is shown that absorption in NIMs can...

Second harmonic generation and optical parametric amplification in negative-index metamaterials (NIMs) are studied. The opposite directions of the wave vector and the Poynting vector in NIMs results in a ”backward” phase-matching condition, causing significant changes in the Manley-Rowe relations and spatial distributions of the coupled field intensities. It is shown that absorption in NIMs can...

§10.1. Number Fields and Field Extensions One of the classic non-constructability problems is that of trisecting an angle. Ruler and compass constructions exist for certain angles, such as 60, and constructions exist that approximately trisect any angle, but there are none that exactly trisect any angle. This is not an open question, waiting for some brilliant mathematician to solve it. It is ...

In this paper, two new identification schemes based on VSS theory and sliding mode are developed to address the time-varying parameter identification problems. The proposed direct identification scheme can successfully estimate fast time-varying parameters when the process is linear in the parametric space. The proposed indirect identification scheme further exploits the possibility of estimati...

In this paper, we introduce and study a new implicit representation of parametric curves and parametric surfaces . We show how these representations which we will call the matrix implied, establish a bridge between geometry and linear algebra, thus opening the possibility of a more robust digital processing. The contribution of this approach is discussed and illustrated on important issues of g...

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