Topic
Transverse plane
About: Transverse plane is a research topic. Over the lifetime, 17069 publications have been published within this topic receiving 194059 citations. The topic is also known as: axial plane.
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44 citations
TL;DR: In this article, the theory of the deflecting or hybrid electromagnetic mode in an iris-loaded waveguide is presented and the dispersion diagrams of the two lowest passbands are computed and compared with experimental data.
Abstract: The theory of the deflecting or hybrid electromagnetic mode in an iris‐loaded waveguide is presented. The dispersion diagrams of the two lowest passbands are computed and compared with experimental data. TM1 and TE1 modes are no longer independent solutions of Maxwell's equations if the phase velocity equals the velocity of light. In this case the most general field expressions require the use of hybrid solutions, which are derived from Hertzian vectors with transverse components. The hybrid solutions, in contrast to transverse solutions, are able to give a transverse deflection to synchronous, ultrarelativistic particles. The fields in the slot region and the center region of the iris‐loaded waveguide are represented as Fourier series. Matching the four tangential field components results ultimately in an infinite matrix. A vanishing determinant constitutes the relationship between wave number, phase velocity, and geometry. A simple first‐order approximation is derived and interpreted.
44 citations
TL;DR: In this article, a technique to replace the moving load by an equivalent moving finite element so that both the transverse and the longitudinal inertial effects due to the moving mass may easily be taken into account simultaneously is presented.
44 citations
TL;DR: In this article, a photon-pair source based on spontaneous four wave mixing (SFWM) was designed and implemented in a few-mode fiber, in a geometry which permits multiple, simultaneous SFWM processes, each associated with a distinct combination of transverse modes for the four participating waves.
Abstract: We have designed and implemented a photon-pair source, based on the spontaneous four wave mixing (SFWM) process in a few-mode fiber, in a geometry which permits multiple, simultaneous SFWM processes, each associated with a distinct combination of transverse modes for the four participating waves. In our source: i) each process is group-velocity-matched so that it is, by design, nearly-factorable and ii) the spectral separation between neighboring processes is greater than the marginal spectral width of each process. Consequently, there is a direct correspondence between the joint amplitude of each process and each of the Schmidt mode pairs of the overall two-photon state. Our approach permits hybrid entanglement in discrete frequency and in transverse mode, whereby control of the number of supported fiber transverse modes allows scalability to higher dimensions while spectral filtering may be used for straightforward Schmidt mode discrimination.
44 citations
TL;DR: There is a shear-rate dependence of the alignment transition under shear flow, parallel at low and perpendicular alignment at high shear rates, and a 3D analysis of the scattering data is needed to identify the alignment and degree of order.
Abstract: We study the shear-induced alignment transition from transverse to the shear plane to parallel and perpendicular in a lamellar or smectics system. A recently proposed simple continuum model for amphiphiles is studied by large-scale nonequilibrium molecular dynamics simulation. We find a shear-rate dependence of the alignment transition under shear flow, parallel at low and perpendicular alignment at high shear rates. To identify the alignment and degree of order of these shear-induced orientations by scattering, a 3D analysis of the scattering data is needed.
44 citations