An extension of the Schwarz‐Christoffel transformation is described to formally map polygons which contain curved boundaries. The curved boundaries are divided into small ‘curved…
Abstract
An extension of the Schwarz‐Christoffel transformation is described to formally map polygons which contain curved boundaries. The curved boundaries are divided into small ‘curved elements’ and each element is approximated by a second degree polynomial (higher degree polynomials can also be used). The iterative algorithm of evaluating the unknown constants of the basic S‐C transformation described in a companion paper is applied to the extended S‐C transformation to compute its unknown constants, including the coefficients of the polynomials. Excellent results are achieved as far as accuracy and convergence are concerned. Examples including a practical application, are provided. The mapping of curved polygons is important because they provide a better model of a physical device.
Maqsood A. CHAUDHRY and Roland SCHINZINGER
An iterative algorithm is described to compute Schwarz‐Christoffel transformations which map the upper half of a complex plane into the interior of a polygon in another complex…
Abstract
An iterative algorithm is described to compute Schwarz‐Christoffel transformations which map the upper half of a complex plane into the interior of a polygon in another complex plane. An efficient method of numerically integrating the S‐C integral over the singularities is presented. The algorithm is easily programmable in FORTRAN. Convergence rate is high and accuracy is excellent. Examples are provided and wherever possible, analytically obtained results are also presented for comparison. The importance of the algorithm is described and a brief comparison with some of the existing algorithms is made. Potential application of the S‐C transformation are in the solution of Laplace's and Poisson's equation in two‐dimensional domains with polygonal boundary.
Maqsood A. Chaudhry and Roland Schinzinger
Finite difference and finite element methods have serious limitations when applied to unbounded regions. This paper describes a hybrid method which uses a conformal transformation…
Abstract
Finite difference and finite element methods have serious limitations when applied to unbounded regions. This paper describes a hybrid method which uses a conformal transformation to map the original boundaries, including those at infinity, to a bounded region and only then applies a numerical method based on finite differences or finite elements when no direct solution is obvious. Testing this approach by means of examples for which exact solutions are obtainable, the hybrid method is applied to determine the electrical potential at specific points in the field of a capacitor with long plates that in their cross‐sectional view are parallel to each other, and in the field of a microstrip line at some distance from it. In both the cases, the results are in agreement with analytically derived results. The method is simple, readily applied by undergraduate students, yet accurate and thus of use in professional engineering work as well.
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Finite difference method (FDM) is a very useful and simple tool in determining electrical potential field of two‐dimensional geometries, such as integrated circuit (IC) planar…
Abstract
Finite difference method (FDM) is a very useful and simple tool in determining electrical potential field of two‐dimensional geometries, such as integrated circuit (IC) planar resistors. It is very accurate and its accuracy can be easily controlled by changing the grid size. One limitation of the FDM, however, is that it computes potentials at predetermined grid points only. Unlike the finite element method (FEM), it does not compute potential functions that can be used to interpolate potentials at the points that are not located at the grid, or to use these functions in determining other quantities based upon the computed potential such as electric field intensity. This paper describes a method that is a combination of the FDM and FEM. It retains the simplicity and accuracy of the FDM. Yet, like the FEM, it provides potential functions that can be used for interpolation and post‐processing of potential. The combined FDM‐FEM method is used to determine the potential functions of an IC planar resistor. The results are in agreement with analytically derived results. The approach we have developed is simple yet accurate and thus of use in professional engineering work.
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The problem of determining the optimal location and length of a slit to obtain a desiredvalue of resistance in polygonal integrated circuit thin‐film resistors prior to laser…
Abstract
The problem of determining the optimal location and length of a slit to obtain a desired value of resistance in polygonal integrated circuit thin‐film resistors prior to laser trimming them has applications in IC fabrication technology. The optimal location of the slit can be determined which gives minimum changes in the value of the resistance for small variations in the length of the slit. This can lead to fabrication of highly accurate resistors. Another criterion for optimality can be the location of the slit which will result in the smallest length of the slit. This can lead to a faster and cheaper IC fabrication process. In this paper, the author describes a method of numerical conformal mapping for computing the length of a slit to obtain the desired value of resistance and the near optimal location of the slit when the shape of the polygon is given. Depending upon the optimality criterion chosen, the near optimal location of the slit will either reduce the variations in the value of resistance for small variations in the length of the slit which may be caused by tolerance in the laser trimming system or will give a smaller length of the slit. The extended Schwarz‐Christoffel transformation developed by the author and others will be used when polygons with curved segments are encountered.
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Radhalakshmi Ramakrishnan and Maqsood A. Chaudhry
In this paper, we study the effect on the performance of a single supply low voltage operational amplifier due to such a mismatch.
Abstract
Purpose
In this paper, we study the effect on the performance of a single supply low voltage operational amplifier due to such a mismatch.
Design/methodology/approach
We start with a given set of specifications and design a MOSFET based operational amplifier meeting those specifications. We then compute various parameters of the operational amplifier using PSPICE to verify that the amplifier meets the specifications. We create mismatch in three characteristics of differential pair MOSFETs: zero biased threshold voltage (Vth0), channel length (L) and process transconductance parameter (K). The effect of the mismatch on two performance parameters: (a) differential mode gain and (b) output DC voltage is then studied.
Findings
The effects of mismatch in MOSFET characteristics on the performance of single supply low voltage operational amplifiers are studied. Circuit designers can use the results to design operational amplifiers and other analog circuits to minimize the effects of such a mismatch on the performance of their circuits. In some cases, such a mismatch may even be desirable to obtain a desired performance from the circuit.
Practical implications
Circuit designers can use the results to design operational amplifiers and other analog circuits to minimize the effects of such a mismatch on the performance of their circuits.
Originality/value
Effect of mismatch of the transistor characteristics on the performance of circuits rarely reported in literature. This study is presented to aid circuit designers in designing circuits with enhanced performance.
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Radhalakshmi Ramakrishnan and Maqsood A. Chaudhry
This paper aims to present a design of a single power supply, low voltage (1.2) high performance operational amplifier using 0.13 μm technology whose characteristics are superior…
Abstract
Purpose
This paper aims to present a design of a single power supply, low voltage (1.2) high performance operational amplifier using 0.13 μm technology whose characteristics are superior compared to the other designs available in the literature.
Design/methodology/approach
The authors set out to design an operational amplifier whose characteristics will be superior to the current available designs in the literature. Because of potential applications, a single 1.2 V supply was used. The layout was obtained using Microwind 0.13 μm technology. The design was tested using PSPICE Version 10.0. Various amplifier parameters were obtained and are compared with the other single supply, low voltage amplifiers available in the literature.
Findings
The presented amplifier has better characteristics such as open loop gain, power supply rejection ratio, common mode rejection ratio, etc.
Practical implications
Since, 0.13 μm, 1.2 V technology has become standard in digital VLSI design, there is a great need for high performance operational amplifiers that operate off of 1.2 V for mixed signal applications in such areas as mobile phones.
Originality/value
The presented amplifier has better characteristics compared to few 1.2 V supply voltage amplifiers available in the literature.
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Maqsood Ahmad Sandhu and Ali Al Naqbi
This study aimed to determine the indirect effects of transformational leadership and transactional leadership on innovation performance through the serial mediation of climate…
Abstract
Purpose
This study aimed to determine the indirect effects of transformational leadership and transactional leadership on innovation performance through the serial mediation of climate for innovation and individual creativity.
Design/methodology/approach
Data was collected from 139 employees working in various ICT and telecommunication industries in the United Arab Emirates (UAE).
Findings
The analysis results revealed positive and significant relationships between transactional leadership and the creation of a climate for innovation for individuals' creativity and innovation performance. The results also indicated employees' perceptions of a supportive climate for innovation mediation, the transformational and transactional leadership and individual’ creativity relationships.
Practical implications
This research suggests that investing in organizational climate improvement provides a dynamic platform for creativity and innovation in the workplace.
Originality/value
This study is one of the first to investigate the relationships in ICT and telecommunication organizations in a developing country, the UAE. The study includes associations between transformational and transactional leaderships and employees' sense of creativity and innovation performance and the impact of employees' perceptions of a supportive climate for innovation.
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Nazia Mustafa and Aneela Maqsood
Mental health problems during the initial years of life are precursors of mental disorders in later life, as well as poor quality of life. However, understanding and assessing the…
Abstract
Purpose
Mental health problems during the initial years of life are precursors of mental disorders in later life, as well as poor quality of life. However, understanding and assessing the quality of life among children is very challenging and requires appropriate assessment measures. Against this backdrop, this study aims to establish the evidence for the construct and convergent validity of Urdu version of Pediatric Quality of Life Inventory (PedsQL) in Pakistani children.
Design/methodology/approach
This study has a cross-sectional study design in which a sample of 291 primary school children (53.3% male children and 44.7% female children) were enrolled from 6 primary schools located in Rawalpindi District in 2021 through random sampling. Children’s ages ranged between 9 and 13 years (M = 10.51 years; SD = 0.73). Urdu translated version PedsQL, Rosenburg self-esteem scale (RSES), strengths and difficulties questionnaire (SDQ), difficulty subscale and socio-demographic form were administered in a group setting.
Findings
Confirmatory factor analysis showed model provided a better fit similar to three factors: social/school functioning; psychological functioning; and physical functioning with good alpha reliability for full scale as well for subscales (r = 0.87, r = 0.75, r = 0.77 and r = 0.73), respectively. Pearson’s correlation of the translated version with SDQ_difficulties (r = −0.33; p < 0.01) and RSES (r = −016; p < 0.01) depicted solid discriminant validity (r = −0.33; p < 0.01) and RSES showed good convergent validity (r = −0.16; p < 0.01). Hence; PedsQL, Urdu proved to be a reliable, valid and efficient tool for the assessment of quality of life among Pakistani children, and its three-factor structure model suggested previously for Pakistani children was confirmed.
Originality/value
This study is original work by the researcher as part of their PhD project.
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Mudassar Ali, Zhang Li, Maqsood Haider, Salim Khan and Qaiser Mohi Ud Din
The philosophy of the conservation resource theory, this paper aims to evaluate the relationship between humble leadership on project success by integrating the mediating role of…
Abstract
Purpose
The philosophy of the conservation resource theory, this paper aims to evaluate the relationship between humble leadership on project success by integrating the mediating role of psychological empowerment and the interacting effect of top management support on the direct relationship (humble leadership and project success), as well as indirect relationships through psychological empowerment.
Design/methodology/approach
Time lag data were gained from 337 persons working in the project-based organization across the information technology industry. Confirmatory factor analysis and structural equation modelling were used in this study.
Findings
By using the structural equation modelling method, the confirmatory factor analysis verified the uniqueness of the variable used in this research. The outcomes exhibited that humble leadership raised project success both directly and indirectly through mediation (psychological empowerment). Furthermore, Top management support was expected to have a moderating effect on the direct but not on the indirect relationship (via psychological empowerment).
Originality/value
This study demonstrates how top management support is essential for the project manager and project team members for the successful execution of the project. Particularly, minimal empirical research examines the interacting effect of top management support on humble leadership and employee psychological empowerment.