GOSSIPO-3 is a demonstrator of a front-end chip designed in IBM 130 nm CMOS in collaboration between Nikhef (Amsterdam) and the Physics Department of the University of Bonn for the read-out of Micro-Pattern Gas Detectors. The prototype features charge sensitive amplifiers, discriminators, a high resolution Time to Digital Converter (TDC), two different Low Drop Out (LDO) voltage regulators for supply voltage control of the Time to Digital Converter, biasing circuits and control logic on a 2 × 1 mm2 die. The chip can be operated in a time measuring mode or an event counting mode. Following the prototype announcement at the TWEPP 2009, measurement data on gain, noise performance, channel to channel ToT spread and LDO load step responses is now available. The measurement results confirm the high gain and low noise (ENC = 25 e−) predicted by simulations. Stable and reproducible time bin sizes of the TDC are also confirmed.

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Let L = − + V be a Schrödinger operator, where the non-negative potential V belongs to the reverse Hölder class RH n/2 , let b belong to a new BMO θ (ρ) space, and let I L β be the fractional integral operator associated with L . In this paper, we study the boundedness of the operator I L β and its commutators [b,I L β ] with b ∈ BMO θ (ρ) on generalized Morrey spaces associated with Schrödinger operator M α,V p,ϕ and vanishing generalized Morrey spaces associated with Schrödinger operator V M α,V p,ϕ . We find the sufficient conditions on the pair (ϕ 1 ,ϕ 2 ) which ensures the boundedness of the operatorand (ϕ 1 ,ϕ 2 ) satisfies some conditions, we also show that the commutator operator (2010): 42B35, 35J10, 47H50. Mathematics subject classification

Metasurface technology has become one of the promising structures for controlling and manipulating of the phase and amplitude characteristics of the electromagnetic waves in recent years. For this reason, the determination of the exact diffracted fields is also crucial especially in the edge or discontinuity points of these types of materials. In the paper, the discontinuity problem by the junction between the layers of an anomalously reflecting metasurface and an impedance half-screen is taken into consideration. These two planar layers have a common edge discontinuity where the diffracted waves occur. The scattered waves from the structure are obtained by the novel technique of the method of transition boundary, which especially offers the relation between the diffracted and scattered geometrical optical waves at the transition boundaries. The diffracted wave expressions are derived by the technique of the method of transition boundary and the uniform wave expressions are obtained by the method of uniform geometrical theory of diffraction. The total wave result of the method of transition boundary is also compared and verified by the well-known theory of physical optics. The behaviors of the total wave and its components are analyzed numerically.

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