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Asif Khan

Publications and source records attributed to Asif Khan.

51 records · Page 3Linked to original sources
arXiv2020

Algorithms and Identities for B$\acute{e}$zier curves via Post Quantum Blossom

In this paper, a new analogue of blossom based on post quantum calculus is introduced. The post quantum blossom has been adapted for developing identities and algorithms for Bernstein bases and B$\acute{e}$zier curves. By applying the post quantum blossom, various new identities and formulae expressing the monomials in terms of the post quantun Bernstein basis functions and a post quantun variant of Marsden's identity are investigated. For each post quantum B$\acute{e}$zier curves of degree $m,$ a collection of $m!$ new, affine invariant, recursive evaluation algorithms are derived.

cs.GR↗
arXiv2019

Experimental Observation of High Intrinsic Thermal Conductivity of AlN

AlN is an ultra-wide bandgap semiconductor which has been developed for applications including power electronics and optoelectronics. Thermal management of these applications is the key for stable device performance and allowing for long lifetimes. AlN, with its potentially high thermal conductivity, can play an important role serving as a dielectric layer, growth substrate, and heat spreader to improve device performance. However, the intrinsic high thermal conductivity of bulk AlN predicted by theoretical calculations has not been experimentally observed because of the difficulty in producing materials with low vacancy and impurity levels, and other associated defect complexes in AlN which can decrease the thermal conductivity. This work reports the growth of thick AlN layers by MOCVD with an air-pocketed AlN layer and the first experimental observation of intrinsic thermal conductivity from 130 K to 480 K that matches density-function-theory calculations for single crystal AlN, producing some of the highest values ever measured. Detailed material characterizations confirm the high quality of these AlN samples with one or two orders of magnitude lower impurity concentrations than seen in commercially available bulk AlN. Measurements of these commercially available bulk AlN substrates from 80 K to 480 K demonstrated a lower thermal conductivity, as expected. A theoretical thermal model is built to interpret the measured temperature dependent thermal conductivity. Our work demonstrates that it is possible to obtain theoretically high values of thermal conductivity in AlN and such films may impact the thermal management and reliability of future electronic and optoelectronics devices.

cond-mat.mtrl-sci↗
arXiv2019

Lateral Heterojunction BaTiO3/AlGaN Diodes with >8MV/cm Breakdown Field

In this paper, we report enhanced breakdown characteristics of Pt/BaTiO3/Al0.58Ga0.42N lateral heterojunction diodes compared to Pt/Al0.58Ga0.42N Schottky diodes. BaTiO3, an extreme dielectric constant material, has been used, in this study, as dielectric material under the anode to significantly reduce the peak electric field at the anode edge of the heterojunction diode such that the observed average breakdown field was higher than 8 MV/cm, achieved for devices with anode to cathode spacing less than 0.2 microns. Control Schottky anode devices (Pt/Al0.58Ga0.42N) fabricated on the same sample displayed an average breakdown field around 4 MV/cm for devices with similar dimensions. While both breakdown fields are significantly higher than those exhibited by incumbent technologies such as GaN-based devices, BaTiO3 can enable more effective utilization of the higher breakdown fields available in ultra-wide bandgap materials by proper electric field management. This demonstration thus lays the groundwork needed to realize ultra-scaled lateral devices with significantly improved breakdown characteristics.

physics.app-ph↗
arXiv2019

Compositionally graded contact layers for MOCVD grown high Al-content AlGaN transistors

In this letter, we design and demonstrate an improved MOCVD grown reverse Al-composition graded contact layer to achieve low resistance contact to MOCVD grown ultra-wide bandgap (UWBG) Al0.70Ga0.30N channel metal semiconductor field-effect transistors (MESFETs). Increasing the thickness of the reverse graded layer was found to improve contact layer resistance significantly, leading to contact resistance of 3.3x10^-5 Ohm.cm2. Devices with gate length, LG, of 0.6 microns and source-drain spacing, LSD, of 1.5 microns displayed a maximum current density, IDSMAX, of 635 mA/mm with an applied gate voltage, VGS, of +2 V. Breakdown measurements on transistors with gate to drain spacing, LGD, of 770 nm had breakdown voltage greater than 220 , corresponding to minimum breakdown field of 2.86 MV/cm. This work provides a framework for the design of low resistance contacts to MOCVD grown high Al-content AlxGa1-xN channel transistors.

physics.app-ph↗
arXiv2018

On King type modification of $(p,q)$-Lupaş Bernstein operators

In this paper, a King-type modification of $(p,q)$-Lupaş Bernstein operators are introduced. The rate of convergence of these operators are studied by means of modulus of continuity and Lipschitz class functional. Further, it has been shown that the error estimation of these operators on some subintervals of $[0,1]$ are better than the $(p,q)$-Lupaş Bernstein operators.

math.CA↗
arXiv2017

Scattering, weak localization and Shubnikov-de Haas oscillation in high carrier density AlInN/GaN heterostructures

We provide the first observation of weak localization in high carrier density two-dimensional electron gas in AlInN/GaN heterostructures; at low temperatures and low fields the conductivity increases with increasing magnetic field. Weak localization is further confirmed by the lnT dependence of the zero-field conductivity and angle dependence of magnetoresistance. The inelastic scattering rate is linearly proportional to temperature, demonstrating that electron-electron scattering is the principal phase breaking mechanism. Shubnikov-de Haas (SdH) oscillations at high magnetic fields are also observed. From the temperature dependent amplitude of SdH oscillation and Dingle plot, the effective mass of electron is extracted to be 0.2327me; in addition the quantum lifetime is smaller than transport time from Hall measurement, indicating small angle scattering such as from remote ionized impurities is dominant. Above 20 K, the scattering changes from acoustic phonon to optical phonon scattering, resulting in a rapid decrease in carrier mobility with increasing temperature.

cond-mat.mes-hall↗
arXiv2017

Statistical approximation by $(p,q)$-analogue of Bernstein-Stancu Operators

In this paper, some approximation properties of $(p,q)$-analogue of Bernstein-Stancu Operators has been studied. Rate of statistical convergence by means of modulus of continuity and Lipschitz type maximal functions has been investigated. Monotonicity of $(p,q)$-Bernstein-Stancu Operators and a global approximation theorem by means of Ditzian-Totik modulus of smoothness is established. A quantitative Voronovskaja type theorem is developed for these operators. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function

math.CA↗
arXiv2016

Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators (Revised)

In this paper, we have given a corrigendum to our paper "Some Approximation Results by $(p,q)$-analogue of Bernstein-Stancu Operators" published in Applied Mathematics and Computation $264 (2015) 392-402.$ We introduce a new analogue of Bernstein-Stancu operators and we call it as $(p,q)$-Bernstein-Stancu operators. We study approximation properties based on Korovkin's type approximation theorem of $(p,q)$-Bernstein-Stancu operators. We also establish some direct theorems.

math.CA↗
arXiv2016

Approximation by Meyer-Konig and Zeller Operators using (p, q)-CALCULUS

In this paper, we introduce a generalization of the $q$-Meyer-Konig and Zeller operators by means of the $(p,q)$-integers as well as of the $(p,q)$-Gaussian binomial coefficients. For $ 0< q < p <= 1,$ the sequence of the $(p,q)$-Meyer-Konig and Zeller operators denoted by $M_n,p,q$ and some results based on statistical convergence and direct theorems is obtained. Furthermore, we show comparisons and some illustrative graphics for the convergence of operators to a function.

math.CA↗
arXiv2016

Some approximation results by Bernstein-Kantorovich operators based on (p,q)-integers

In this paper, First we have given the modified form of (p,q)-analogues of Bernstein and Bernstein operators [21-23] and then we introduce a new analogue of Bernstein-Kantorovich operators which we call as (p,q)-Bernstein-Kantorovich operators. We discuss approximation properties for these operators based on Korovkin's type approximation theorem and we compute the order of convergence using usual modulus of continuity and also the rate of convergence when f is a Lipschitz function. Moreover, we also study the local approximation property of the (p,q)-Kantorovich operators . We show comparisons and some illustrative graphics for the convergence of operators to a function. In comparison to q-analogoue of Bernstein-Kantorovich operators, our generalization gives more flexibility for the convergence of operators to a function.

math.CA↗
arXiv2015

Approximation by a Kantorovich type q-Bernstein-Stancu operators

In this paper, we introduce a Kantorovich type generalization of q-Bernstein-Stancu operators. We study the convergence of the introduced operators and also obtain the rate of convergence by these operators in terms of the modulus of continuity. Further, we study local approximation property and Voronovskaja type theorem for the said operators. We show comparisons and some illustrative graphics for the convergence of operators to a certain function.

math.CA↗
arXiv2015

Stability of Some Positive Linear Operators on Compact Disk

Recently, Popa and Rasa [18,19] have shown the (in)stability of some classical operators defined on [0,1] and found best constant when the positive linear operators are stable in the sense of Hyers-Ulam. In this paper we show Hyers-Ulam (in)stability of complex Bernstein-Schurer operators, complex Kantrovich-Schurer operators and Lorentz operators on compact disk. In the case when the operator is stable in the sense of Hyers and Ulam, we find the infimum of Hyers-Ulam stability constants for respective operators.

math.CA↗
arXiv2015

Approximation by (p,q)-Lorentz polynomials on a compact disk

In this paper, we introduce a new analogue of Lorentz polynomials based on (p,q)-integers and we call it as (p,q)-Lorentz polynomials. We obtain quantitative estimate in the Voronovskaja's type thoerem and exact orders in simultaneous approximation by the complex (p,q)-Lorentz polynomials of degree n, where q > p > 1 attached to analytic functions in compact disks of the complex plane.

math.CA↗