In this paper, we investigate some properties between q-Bernstein polynomials and q-Euler numbers by using fermionic p-adic q-integrals on Z p . From these properties, we derive some interesting identities related to the q-Euler numbers.1 q , (see [2]).

No abstract

No abstract

A high‐gain antenna using a single layer metamaterial (MTM) superstrate with a zero refractive index (n) is proposed. To enhance the magnitude and flatness property of the antenna gain at the same time, the effectively zero refractive index behavior of metamaterial superstrate is used, which gathers the wave emitted from the microstrip patch antenna and collimates it toward the normal direction of the antenna. Both the simulation and measurement results provide that the realized gain of the proposed antenna is increased by about 5 dB and the flatness of that gain is no more than 1.5 dB in the predicted frequency band, where the proposed MTM is designed to have a zero index of refraction. Consequently, the high and flat gain antenna can be easily obtained by using our MTM superstrate. © 2009 Wiley Periodicals, Inc. Microwave Opt Technol Lett 51: 1973–1976, 2009; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.24469

A Fabry-Pérot cavity (FPC) antenna producing both high-gain and circularly-polarized (CP) behavior is proposed. To increase antenna gain and obtain CP characteristics, a superstrate composed of square patches with a pair of truncated corners is placed above the linearly polarized patch antenna with an approximately half-wavelength distance from the ground plane at the operating frequency. The proposed antenna has the advantages of high gain, a simple design, and an excellent boresight axial ratio over the operating frequency bandwidth. Moreover, used in an FPC antenna, the proposed superstrate converts a linear polarization produced by a patch antenna into a circular polarization. In addition, the cavity antenna produces left-hand circular-polarization and right-hand circular-polarization when a patch antenna inside the cavity generates x-direction and y-direction polarization, respectively. The measured and simulated results verify the performance of the antenna.