scholarly journals New Cad Model of the Microstrip Interdigital Capacitor

2004 ◽  
Vol 27 (4) ◽  
pp. 237-245 ◽  
Author(s):  
Nihad Dib ◽  
Qiu Zhangb ◽  
Ulrich Rohde
Keyword(s):  
Coplanar Waveguide ◽  
Circuit Theory ◽  
Closed Form Expression ◽  
Simple Circuit ◽  
Form Expression ◽  
Coupled Line ◽  
Interdigital Capacitor ◽  
Quarter Wavelength ◽  
Coupled Lines ◽  
Good Agreement

A new model for the microstrip line interdigital capacitor is proposed. This model consists of calculating the2N×2N Y-matrix of theNcoupled lines using the multiple coupled line tool. Then, this matrix is reduced to a2×2matrix using simple circuit theory. The capacitance at the end of each finger is taken into consideration using closed-form expression of the coplanar waveguide open-end capacitance. This model can predict the resonances that might appear around the quarter-wavelength frequency. These resonances are caused by the coupling between the fingers and exist only in capacitors with four fingers or more. Very good agreement is obtained between the results of our model and those obtained using the software HFSS and measurements.

scholarly journals Pseudo-elliptic narrow bandpass filter using shorted coupled-line of higher order design

2019 ◽  
Vol 14 (1) ◽  
pp. 388
Author(s):  
Mohd Nasiruddin Hushim ◽  
Norfishah Ab Wahab ◽  
Muhammad Farid Abdul Khalid ◽  
Tn. Syarifah Atifah Tn. Mat Zin
Keyword(s):  
Bandpass Filter ◽  
Coupled Line ◽  
Transmission Zeros ◽  
Quarter Wavelength ◽  
Measurement Results ◽  
Coupled Lines ◽  
Tan Δ ◽  
Straight Lines ◽  
Good Agreement ◽  
Narrow Bandpass Filter

This paper presents an implementation of quarter wavelength single-shorted coupled-lines for narrow bandpass filter application. It is shown as a new way of creating a single resonance bandpass filter by inter-connected of two <br /> single-shorted quarter wavelength coupled-line sections. By adding more single-shorted coupled-line into the configuration, the form of halfwavelength resonator can increase the degree of order of the filter. For the design of 4<sup>th</sup> order resonator, the coupledlines are arranged inter-connected to each other forming five-fingers lines layout. Due to the interconnection of the coupledlines, transmission zeros appear at the two stopbands which improves the selectivity of the filter response. Investigation on the parametric of the 4<sup>th</sup> order resonator is conducted to observe the controlling parameters and it’s realiability responses of the resonator. For compactness, five-fingers meandered lines is proposed. It is found that the size of the meandered lines resonator was successfully reduced by 33% compared to the five-fingers straight lines resonator of the same order. For validation of concept, the 4<sup>th</sup> order meandered lines resonator was designed at 1 GHz and fabricated on RO3210 microstrip substrate with characteristics given as h = 1.27 mm, Ɛr = 10.2 and tan δ = 3x10<sup>-3</sup>. The measurement results show good agreement with the simulation results.

scholarly journals Wide CPW-Fed Multiband Wearable Monopole Antenna with Extended Grounds for GSM/WLAN/WiMAX Applications

2019 ◽  
Vol 2019 ◽  
pp. 1-14 ◽  
Author(s):  
Danvir Mandal ◽  
S. S. Pattnaik
Keyword(s):  
Resonance Condition ◽  
Coplanar Waveguide ◽  
Impedance Matching ◽  
Monopole Antenna ◽  
Antenna Performance ◽  
Quarter Wavelength ◽  
Triangular Patch ◽  
Matching Structure ◽  
Standard Limit ◽  
Good Agreement

A novel wide coplanar waveguide- (CPW-) fed multiband wearable monopole antenna is presented. The multiband operation is achieved by generating slanted monopoles of different lengths from an isosceles triangular patch. The different operating frequencies of the proposed antenna are associated with the lengths of the slanted monopoles, which are determined under quarter wavelength resonance condition. The CPW line is used as a multiband impedance-matching structure. The two grounds are slightly extended for better impedance matching. The proposed antenna is designed to cover the 1800 MHz GSM, 2.4 GHz/5.2 GHz WLAN, and 3.5 GHz WiMAX bands. The measured peak gains and impedance bandwidths are about 4.18/3.83/2.6/2.94 dBi and 410/260/170/520 MHz for the 1550-1960 MHz/2.3-2.56 GHz/3.4-3.57 GHz/5.0-5.52 GHz bands, respectively. The calculated averaged specific absorption rate (SAR) values at all the resonant frequencies are well below the standard limit of 2 W/kg, which ensures its feasibility for wearable applications. The antenna performance under different bending configurations is investigated and the results are presented. The reflection coefficient characteristics of the proposed antenna is also measured for different on-arm conditions and the results are compared. A good agreement between experimental and simulation results validates the proposed design approach.

A SEMI-ANALYTICAL MODEL OF TIME DEPENDENT PLASTIC STRAINS INDUCED DURING SHOT PEENING

2013 ◽  
Vol 05 (03) ◽  
pp. 1350027 ◽  
Author(s):  
J. DAVIS ◽  
M. RAMULU
Keyword(s):  
Plastic Strain ◽  
Order Differential Equation ◽  
Closed Form Expression ◽  
Plastic Strain Rate ◽  
Solid Model ◽  
Mathematical Form ◽  
Form Expression ◽  
Loading And Unloading ◽  
Inelastic Strains ◽  
Good Agreement

When a semi-infinite surface is shot peened the in-plane inelastic strains are zero because of compatibility. As a result, the in-plane residual stress and plastic strain are linearly related. These boundary conditions motivate a second order differential equation similar in mathematical form to a modified Kelvin solid model with a strain acceleration term. Solving the resulting equation gives a closed form expression for the plastic strain as a function of time. The plastic strain rate is solved by taking the derivative with respect to time. Comparisons with published finite element data show good agreement and are within 10% for most of the loading and unloading period.

scholarly journals Inter-connected coupled lines Resonator topology for bandpass filter application

2020 ◽  
Vol 10 (3) ◽  
pp. 2523
Author(s):  
Mohd Nasiruddin Hushim ◽  
Norfishah Ab Wahab ◽  
Tn. Syarifah Atifah Tn. Mat Zin ◽  
Norlia Ghazali
Keyword(s):  
Bandpass Filter ◽  
Higher Order ◽  
Coupled Line ◽  
Microstrip Technology ◽  
Half Wavelength ◽  
Quarter Wavelength ◽  
Coupled Lines ◽  
In Series ◽  
Tan Δ ◽  
Filter Response

This paper presents an inter-connected side-shorted coupled-line resonator topology as a base cell. The base cell is built from two single-shorted quarter-wavelength coupled-line sections, connected in series to give a half-wavelength coupled-line that creates a single resonance of bandpass filter response. Higher-order bandpass filter is produced by adding new single-shorted coupled-line sections, cascaded in an inter-connected manner to the base cell. This new topology creates a unique arrangement that caused cross coupling effects between the resonators, resulting to the occurrence of transmission zeros that lead to the improvement of selectivity of the higher order bandpass filter response. For validation of concept, 2<sup>nd</sup> and 3<sup>rd</sup> order bandpass filters were fabricated using microstrip technology on Roger 3210 substrate with parameter of <em>Ɛr</em> = 10.2, <em>h</em> = 1.27 mm and <em>tan δ</em> = 3x10-3. The filters were measured and the results show good agreement with simulation results.

Parallel-coupled stub-loaded resonator bandpass filter with ultra-wideband passband on multilayer liquid crystal polymer substrates

2015 ◽  
Vol 8 (8) ◽  
pp. 1183-1186 ◽  
Author(s):  
S. Almorqi ◽  
H. Shaman ◽  
A. Alamoudi
Keyword(s):  
Liquid Crystal ◽  
Bandpass Filter ◽  
Liquid Crystal Polymer ◽  
Ultra Wideband ◽  
Center Frequency ◽  
Coupled Line ◽  
Crystal Polymer ◽  
Quarter Wavelength ◽  
Coupled Lines ◽  
Chebyshev Filter

A multilayer bandpass filter with ultra-wideband passband is presented in this paper. The filter is designed to have a very wide passband with a fractional bandwidth of about 180% at a center frequency of 10.5 GHz. The filter consists of two sections of parallel-coupled lines loaded at the center with short-circuited stub. Each of the coupled line sections and short-circuited stubs is designed to be a quarter-wavelength long at the desired center frequency. As a result, the filter exhibited a selective filtering characteristic equivalent to a five-pole Chebyshev filter with a very low insertion loss. The proposed filter is realized and fabricated using multilayer liquid crystal polymer substrate. The design is successfully realized in theory and verified by full-wave electromagnetic simulation of the full layout and the experiment where excellent agreement is obtained.

Compact Bandpass Filter Based on Parallel-coupled Lines and Quasi-lumped Structure

Frequenz ◽  
2016 ◽  
Vol 70 (1-2) ◽  
Author(s):  
Chen Ding ◽  
Jiao Li ◽  
Feng Wei ◽  
Xiao-Wei Shi
Keyword(s):  
Bandpass Filter ◽  
Quarter Wavelength ◽  
Coupled Lines ◽  
The Matrix ◽  
Network Transformation ◽  
Good Agreement

AbstractA compact microstrip bandpass filter (BPF) using quarter-wavelength resonators is proposed based on the parallel-coupled lines (PCLs) and quasi-lumped structure. A method based on the matrix and network transformation of cascaded-quadruplet (CQ) filters is investigated and successfully applied to the BPF design. The design formulas for the proposed BPF are analytically developed. Specifically, in order to verify the feasibility of the proposed method, three BPFs centering at 1.575 GHz with different FBWs are designed. Good agreement between the simulated and measured results is observed. Moreover, the designed filters can achieve a wide stopband.

Dynamic Snap-Through of Imperfect Viscoelastic Shallow Arches

1968 ◽  
Vol 35 (2) ◽  
pp. 289-296 ◽  
Author(s):  
N. C. Huang ◽  
W. Nachbar
Keyword(s):  
Lower Bound ◽  
Critical Load ◽  
Critical Loads ◽  
Jump Discontinuity ◽  
Closed Form Expression ◽  
Antisymmetric Mode ◽  
Form Expression ◽  
Shallow Arches ◽  
Voigt Model ◽  
Good Agreement

Dynamic snap-through or dynamic buckling of imperfect viscoelastic shallow arches with hinged ends is considered under step loads of infinite duration. Attention is principally devoted to the influence both of small imperfections and of small amounts of damping, acting together, on the critical loads. For the problem considered, the Voigt model is used for viscoelasticity, the deflection is represented by the first two harmonic modes, and imperfections have the shape of the second (antisymmetric) mode. Results obtained by numerical integration of the differential equations show that the critical load exhibits a jump discontinuity in the limit for vanishing imperfection. Critical loads for slightly imperfect and elastic (inviscid) arches are slightly higher than those from the saddle-point formula of Hoff and Bruce [1, p. 276], confirming that the formula gives a lower bound on the critical load. However, critical loads for arches with slight imperfection and slight viscosity are considerably higher than for the slightly imperfect elastic arches. Another closed-form expression is shown to be in good agreement with these results. For finite amounts of viscosity, the critical loads tend rapidly to the values obtained for infinite viscosity, which are the same as the critical loads for quasi-static buckling. Apart from the jump discontinuity at zero, the critical load for any viscosity decreases continuously and monotonically with imperfection.

scholarly journals Synthesizing of Planar and Conformal Double-Sided Parallel-Cross Dipoles FSS Based on Closed-Form Expression

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Yassine Zouaoui ◽  
Larbi Talbi ◽  
Khelifa Hettak ◽  
Naresh K. Darimireddy
Keyword(s):  
Closed Form ◽  
Closed Form Expression ◽  
Form Expression

A compact UWB antenna with triple band notch reconfigurability

2020 ◽  
pp. 1-7
Author(s):  
Lei Li ◽  
Jingchang Nan ◽  
Jing Liu ◽  
Chengjian Tao
Keyword(s):  
Coplanar Waveguide ◽  
Ring Resonators ◽  
Uwb Antenna ◽  
Split Ring ◽  
X Band ◽  
Compact Size ◽  
Nested Structure ◽  
P Type ◽  
Good Agreement ◽  
Triple Band

Abstract A compact ultrawideband (UWB) antenna with reconfigurable triple band notch characteristics is proposed in this paper. The antenna consists of a coplanar waveguide-fed top-cut circular-shaped radiator with two etched C-shaped slots, a pair of split-ring resonators (SRRs) on the backside and four p-type intrinsic n-type (PIN) diodes integrated in the slots and SRRs. By controlling the current distribution in the slots and SRRs, the antenna can realize eight band notch states with independent switch ability, which allows UWB to coexist with 5G (3.3–4.4 GHz)/WiMAX (3.3–3.6 GHz), WLAN (5.15–5.825 GHz), and X-band (7.9–8.4 GHz) bands without interference. By utilizing a nested structure of C-shaped slots and SRRs on the backside, a compact size of 18 × 19.5 mm2 is achieved along with multimode triple band notch reconfigurability. The antenna covers a bandwidth of 3.1–10.6 GHz. A prototype is fabricated and tested. The simulated and experimental results are in good agreement.

Distribution of Consensus in a Broadcasting-based Consensus-forming Algorithm

2021 ◽  
Vol 48 (3) ◽  
pp. 91-96
Author(s):  
Shigeo Shioda
Keyword(s):  
Distribution Function ◽  
Probability Density Function ◽  
Closed Form ◽  
Probability Density ◽  
Infinite Number ◽  
Stable Distribution ◽  
Random Variable ◽  
Cauchy Distribution ◽  
Closed Form Expression ◽  
Form Expression

The consensus achieved in the consensus-forming algorithm is not generally a constant but rather a random variable, even if the initial opinions are the same. In the present paper, we investigate the statistical properties of the consensus in a broadcasting-based consensus-forming algorithm. We focus on two extreme cases: consensus forming by two agents and consensus forming by an infinite number of agents. In the two-agent case, we derive several properties of the distribution function of the consensus. In the infinite-numberof- agents case, we show that if the initial opinions follow a stable distribution, then the consensus also follows a stable distribution. In addition, we derive a closed-form expression of the probability density function of the consensus when the initial opinions follow a Gaussian distribution, a Cauchy distribution, or a L´evy distribution.

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