• Bulletin of the Korean Mathematical Society
• /
• v.61 no.3
• /
• pp.849-866
• /
• 2024

In this paper, we study the rectifying curves in multiplicative Euclidean space of dimension 3, i.e., those curves for which the position vector always lies in its rectifying plane. Since the definition of rectifying curve is affine and not metric, we are directly able to perform multiplicative differential-geometric concepts to investigate such curves. By several characterizations, we completely classify the multiplicative rectifying curves by means of the multiplicative spherical curves.

• Honam Mathematical Journal
• /
• v.36 no.1
• /
• pp.67-83
• /
• 2014

The notion of rectifying curve in the Euclidean space is introduced by Chen as a curve whose position vector always lies in its rectifying plane spanned by the tangent and the binormal vector field t and $n_2$ of the curve, [1]. In this study, we have obtained some characterizations of semi-real spatial quaternionic rectifying curves in $\mathbb{R}^3_1$. Moreover, by the aid of these characterizations, we have investigated semi real quaternionic rectifying curves in semi-quaternionic space $\mathbb{Q}_v$.

• Bulletin of the Korean Mathematical Society
• /
• v.46 no.5
• /
• pp.967-978
• /
• 2009

In this work, we give some characterizations of rectifying curves in dual Lorentzian space. Also, we show that rectifying dual Lorentzian curves can be stated by the aid of dual unit spherical curves.

• Journal of Advanced Navigation Technology
• /
• v.14 no.5
• /
• pp.655-660
• /
• 2010

This paper examines RF-to-DC conversion efficiency of rectifying circuit for wireless power transmission. The rectifying circuit consists of low pass filter, diode circuits and dc pass filter. All these components may be effect on the conversion efficiency. Using the simulation, we study these components how to effect on the conversion efficiency. On the basis of the simulation results, the 912MHz rectifying circuit with 50% efficiency at low input power such as 0dBm is fabricated and its characteristics are measured.

• Journal of the Korean Mathematical Society
• /
• v.58 no.6
• /
• pp.1485-1500
• /
• 2021

A curve is rectifying if it lies on a moving hyperplane orthogonal to its curvature vector. In this work, we extend the main result of [Chen 2017, Tamkang J. Math. 48, 209] to any space dimension: we prove that rectifying curves are geodesics on hypercones. We later use this association to characterize rectifying curves that are also slant helices in three-dimensional space as geodesics of circular cones. In addition, we consider curves that lie on a moving hyperplane normal to (i) one of the normal vector fields of the Frenet frame and to (ii) a rotation minimizing vector field along the curve. The former class is characterized in terms of the constancy of a certain vector field normal to the curve, while the latter contains spherical and plane curves. Finally, we establish a formal mapping between rectifying curves in an (m + 2)-dimensional space and spherical curves in an (m + 1)-dimensional space.

• Bulletin of the Korean Mathematical Society
• /
• v.56 no.2
• /
• pp.383-390
• /
• 2019

We consider special curves (rectifying-type curves) in the simplest Myller configuration and study their properties, in order to compare these properties in both cases, Myller and Euclidean settings.

• Journal of Korean Society for Quality Management
• /
• v.19 no.2
• /
• pp.63-77
• /
• 1991

Currently the problem of air pollution caused by the motor vehicle emission is one of the most serious problems to be solved. Thus we needed the inspection method and technical innovation constraining the motor vehicle emission. In order to establish the more reasonable certified test, the multivariate sequential rectifying inspection plan designed in this paper has been applied to the domestic vehicles by analyzing the statistic characteristics of the emission distribution. This inspection method is designed to satisfy the evaluation measure constraining domestic vehicle emission, and it serves the defect rectifying system and performance certification of catalytic converts. As the prior parameter for the domestic vehicles, we used the data for the catalytic converts which passed the certified test excuted by the EPK. For the case of engine test, we used those data which passed the certified test of domestic vehicles. The multivariate sequential rectifying inspection plan of the vector parameter is able to minimize the average sample number and increase the pass probability of operating characteristic curve.

• Journal of the Semiconductor & Display Technology
• /
• v.14 no.4
• /
• pp.84-87
• /
• 2015

We have designed and fabricated two different RF-DC Converters called doubler for 5.8GHz Microwave Wireless Power Transmission. The doubler as RF-DC Converter makes the rectified voltage be doubled. We measured and compared voltages of the doublers with those of the previous full-wave rectifying RF-DC Converter. The doublers show rectified double voltages. However, the full-wave rectifying converter has a high efficiency due to the suppression of reflecting harmonics. The other fabricated doublers causes so many harmonics that they can't convert the low-power RF to the full DC. In this paper, we show that the different doublers doesn't double the rectifying voltages compared with those of the full-wave rectifying converter and give a reason about that.

• Journal of IKEEE
• /
• v.24 no.1
• /
• pp.368-371
• /
• 2020

In this paper, we propose a linear tapered slot rectifying antenna for a portable UHF-band RFID system. Since the proposed rectifying antenna does not use a dielectric substrate, the planar antenna is implemented with a thin metal thickness. The rectifier circuit converts input RF power into output DC voltage using a voltage doubler circuit based on two anti-parallel schottky diodes. The rectifying antenna is integrated by the voltage doubler circuit into a linear tapered slot antenna. For conjugate impedance matching of the rectifying circuit and the linear tapered slot antenna, the source-pull method was utilized by adjusting the angle of the tapered slot and the length of the antenna feed line. The proposed antenna prototype has been verified with the electrical and radiation characteristics through RF-DC conversion and far-field radiation test in open space measurement environment. Finally, the proposed antenna is realized to 0.23-wavelength (75 mm) and 0.18-wavelength (60 mm) at 915 MHz center frequency.

• Journal of the Korea Institute of Information and Communication Engineering
• /
• v.14 no.12
• /
• pp.2642-2648
• /
• 2010

The design of coupling and rectifying circuits for the maritime VHF digital modem is investigated in this paper. To monitor the transmitting power of the modem, a directional coupler which is used to extract a small fraction of the transmitter signal power, and a rectifying circuit which make DC voltage proportional to the coupled rf power are designed and fabricated. The parallel-coupled line coupler with directivity of above 25 dB at 160 MHz bands is designed and it is shown that the output voltage of the rectifying circuit is linearly changing from 0.85 V to 1.6 V when the transmitting power of the modem is varying from 1 W to 25 W. The proposed coupler and rectifying circuits are expected to be suitable for maritime VHF digital modem.