A new characterisation of planar graphs is presented. It concerns the structure of the cocycle space of a graph, and is motivated by consideration of the dual of an elementary property enjoyed by sets of circuits in any graph.

This paper presents a technique to analyze and optimize Continuously Varying Transmission Lines (CVTL’s), used to design microwave band-pass filters in planar technology. For millimeters waves, radiation losses can increase quickly, especially for sharp discontinuities in planar circuits. In this approach, rather than taking account of this effect in a full-wave analysis, we generate structures...

Lithography, the fundamental fabrication process of semiconductor devices, is playing a critical role nowadays in the fabrication of microand nano-structures especially for the realization of micro-electro-mechanical systems (MEMS), microfluidic devices, photonic crystals, photonic integrated circuits, micro-optics, and plasmonic optoelectronic devices. These devices have various practical appl...

We show that ACC0 is precisely what can be computed with constant-width circuits of polynomial size and polylogarithmic genus. This extends a characterization given by Hansen, showing that planar constant-width circuits also characterize ACC0. Thus polylogarithmic genus provides no additional computational power in this model. We consider other generalizations of planarity, including crossing n...

A novel method for coupling single-mode fibers to planar optical circuits with small waveguide dimensions is proposed. The method eliminates the need to apply microoptics or to adapt the waveguide dimensions within the planar circuit to the fiber dimensions. Alignment tolerances are comparable to those of fiber- fiber coupling. The low loss potential of the method is experimentally demonstrated...

We show that ACC0 is precisely what can be computed with constant-width circuits of polynomial size and polylogarithmic genus. This extends a characterization given by Hansen, showing that planar constant-width circuits also characterize ACC0. Thus polylogarithmic genus provides no additional computational power in this model. We consider other generalizations of planarity, including crossing n...

Partial discharge occurs a lot in shielded dielectric power cables. Partial discharge pulses are high-frequency electromagnetic waves that propagate in the shielded dielectric power cables. This chapter will study partial discharge propagation and detection in shielded dielectric power cables.