An optical property of a quasi-periodic multilayer constructed of two types of layer, A and B, is discussed. For light propagation through a quasi-periodic medium, we find that the transmission coefficient has, for the wavelength of light, many barriers where the transmission coefficient vanishes.

Received (Day Month Year) Revised (Day Month Year) We show that the propagation of pulses in an one-dimensional random medium can be characterized using a new complex martingale representation of the transmission coefficient. This representation holds in the frequency domain and in a certain asymptotic limit where diffusion approximations can be used.

This paper is devoted to the discreteness of the transmission eigenvalue problems. It is known that this problem is not self-adjoint and a priori estimates are non-standard and do not hold in general. Two approaches are used. The first one is based on the multiplier technique and the second one is based on the Fourier analysis. The key point of the analysis is to establish the compactness and t...

The homogeneous problem of current propagation along a thin wire of arbitrary geometric form near ground is reduced use of the Full-Wave Transmission Line Theory [8-10] to a Schrödinger-like differential equation, with a “potential” depending on both the geometry of the wire and frequency. The “potential” is a complex – valued quantity that corresponds to either radiation losses in the framewor...

Modern transmission electron microscopes (TEM) allow utilizing the spherical aberration coefficient as an additional free parameter for optimizing resolution and contrast. By tuning the spherical aberration coefficient of the objective lens, isolated nitrogen atom columns as well as the Si–N dumbbells within the six-membered ring were imaged in b-Si3N4 along [0 0 01] and [0 0 0 1̄] projections w...

Abstract Previous research has indicated that the surface wave transmission (SWT) method can be used to measure the depth of a single surface-breaking crack in concrete. In this paper, the authors extend the SWT method to evaluation of distributed cracks in concrete. First, scattering field of surface waves caused by distributed cracks in concrete was investigated using numerical simulation. Se...

We consider the electromagnetic interior transmission problem in the case when the medium has cavities, i.e. regions in which the index of refraction is the same as in the host medium. We address the configuration where the electromagnetic permeability is constant while the electric permittivity is variable and may be anisotropic. In this case, using appropriate reformulation of the problem int...

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The buried hetero-structure (BH) InGaAsP-InP waveguide is used for asystem of double microring resonators (DMR). The light transmission and location ofresonant peaks are determined for six different sets of ring radii with different ordermode numbers. The effect of changing middle coupling coefficient on the box likeresponse is studied. It is found that the surge of coupling coefficient to the ...