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A sensitive, miniaturized, ultrawideband probe is proposed for near-field measurements. The proposed probe is based on a new V-shaped tip design and a slope structure resulting in better field distribution and impedance matching with a span bandwidth from 10 kHz up to 52 GHz, which is compatible with ultrawideband applications. The proposed E-probe fabrication process utilizes a four-layer printed circuit board (PCB) using Rogers RO4003 (tm) and RO4450 high-performance dielectrics, with εr = 3.55 and 3.3, respectively. The probe length is 40 mm with a minimum width of 4 mm, which is suitable for narrow, complex, and integrated PCBs. The passive E-probe sensitivity is −106.29 dBm and −87.48 dBm at 2 GHz and 40 GHz, respectively. It has a very small spatial resolution of 0.5 mm at 20, 25, 30, and 35 GHz. The probe is small and cheap and can diagnose electromagnetic interference (EMI) in electronic systems such as telemetry, UAVs, and avionics. [ABSTRACT FROM AUTHOR]

In this paper, we construct two kinds of q -differential integrable hierarchies. The first one is the q -universal character of B-type (BUC) and lattice q -BUC hierarchies expressed by q -shift operators. It is also shown that the lattice q -BUC hierarchy reduces to the q -BUC hierarchy with certain conditions. The other one is the q -deformed generalized symplectic Schur functions and the q -deformed generalized Q-functions defined by q -derivative operators. By means of the q -deformed vertex operators, the q -deformed symplectic universal character (SUC) and BUC hierarchies have been presented. Moreover, it is proved that q -deformed generalized symplectic Schur functions and generalized Q-functions are solutions of the q -deformed SUC and BUC hierarchies, respectively. Meanwhile, by using multi-component tau functions, we establish the multi-component q -deformed SUC and BUC hierarchies. In addition, based upon the discrete tau functions, the multi-component modified q -deformed SUC and BUC hierarchies have been discussed. [ABSTRACT FROM AUTHOR]

With the system interconnection and intelligence of application scenario equipment, the electromagnetic environment of chips is becoming more and more complex. Problems such as communication interruption and data loss caused by electromagnetic interference often occur. The electromagnetic reliability of chips has become an important index to measure their availability. In order to effectively detect the electromagnetic reliability of industrial chips applied to specific scenarios, it is necessary to measure and analyze the electromagnetic characteristics of the application scenarios, as the boundary conditions of the electromagnetic protection simulation analysis and design of the chip, and to develop Electromagnetic Compatibility (EMC) test items, test limits and test methods suitable for carrying out tests and monitoring on chips. The paper presents an acquisition system, which can complete the collection of transient electromagnetic interference, steady electromagnetic field, temperature, humidity and near-field data. The transient interference measurement frequency range is 300 kHz–500 MHz, with a rising edge of 1.5 ns; the steady-state electromagnetic field measurement frequency ranges from 100 Hz to 3 GHz. By collecting the electromagnetic environmental characteristics of chips and analyzing situations in which chips are prone to interference, protective measures can be implemented. [ABSTRACT FROM AUTHOR]

In this paper, we propose two types of universal characters corresponding to partition shapes π = (3) and π = (2, 1) and construct their vertex operators realizations. It is proved that (3)-type and (2, 1)-type universal characters can be derived by the products of vertex operators acting on the identity. Furthermore, we investigate (3)-type and (2, 1)-type universal characters by means of Hamiltonian and fermions expectation values. In addition, based upon bilinear equations, we present the (3)-type and (2, 1)-type universal characters hierarchies whose τ functions can be derived from (3)-type and (2, 1)-type universal characters. [ABSTRACT FROM AUTHOR]

The Heisenberg supermagnet model is a significant supersymmetric integrable model which is the superextension of the Heisenberg ferromagnet model. This paper is concerned with the construction of the multi-component (1+1) and (2+1)-dimensional Heisenberg supermagnet models with two distinct quadratic constraints of the superspin variables. In terms of the multi-component gauge transformation, we construct their multi-component gauge equivalent counterparts, i.e., the multi-component (1+1) and (2+1)-dimensional super nonlinear Schrödinger equations and fermionic nonlinear Schrödinger equations, respectively. [ABSTRACT FROM AUTHOR]