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An Ellipse-Shaped Leaky-Wave Antenna Array for X-Band Aerial Landing System
Basir Shahid,Sarfraz Mubashar,Ghauri Sajjad A.,Mohammad Nooh Bany 한국전자파학회 2022 Journal of Electromagnetic Engineering and Science Vol.22 No.3
In this paper, an antenna array for the X-band aerial landing system has been proposed. The proposed antenna is an ellipse-shaped leakywave array radiating in slow mode wave and has a scanning range of 75° for different inter-element spacing. Four antenna arrays were designed: two with 60 elements and two with 30 elements each, all operating from 9.3 GHz to 12.3 GHz providing a gain of 30 dBi and 20 dBi, respectively. To verify the performance, a 15-element sub-array having an overall size of 210 mm × 30 mm and achieving a total gain of 17 dBi was fabricated and tested. The proposed sub-array was fabricated using Rogers Duroid5880 (<i>εr</i> = 2.2 and h = 1.575 mm). It has been shown through comparison of radiation patterns that measured and simulation results are in good agreement.
UNIQUENESS OF P(f) AND [P(f)](k) CONCERNING WEAKLY WEIGHTED SHARING
Molla Basir Ahamed 장전수학회 2022 Advanced Studies in Contemporary Mathematics Vol.32 No.2
In this paper, with the help of the idea of weakly weighted sharing introduced by Lin and Lin [Kodai Math. J. 29(2006), 269-280], we study the uniqueness of polynomial expression P(f) and its derivatives [P(f)](k) of meromorphic functions f sharing a small function. The main results in the paper significantly improved the result of Liu and Gu [Kodai Math. J. 27(3)(2004), 272-279]. This research work finds certain condition under which the polynomial P(f) is reduced to a non-zero monomial and consequently, the class of the function f is characterized. Examples have been exhibited to show that some conditions in the main results simply can not be removed and also some inequalities are sharp.
Process Parameters Used in Macro/Micro Powder Injection Molding: An Overview
Al Basir,Abu Bakar Sulong,Nashrah Hani Jamadon,Norhamidi Muhamad,Ukwueze Bonaventure Emeka 대한금속·재료학회 2021 METALS AND MATERIALS International Vol.27 No.7
Powder injection molding (PIM) is a well-known manufacturing technique for the production of complex, net-shaped macroparts using a broad range of materials and alloys. Eventually, the PIM method has been modifed into micro-powder injectionmolding (μPIM) because of the increasing demand of micro-parts in global market. Now-a-days PIM and μPIM processesare extensively using to fabricate components for electronic, automobile, and biomedical felds. In this paper, the importantprocess parameters that had been used to fabricate defect-free macro and micro-sized parts of diferent metals, ceramics,and alloys using the above-mentioned techniques have been reviewed. This article is enclosed with a brief discussion onthe future research guidelines addressing diferent aspects related to the two-component macro and micro powder injectionmolding. This paper could be a worthy source for those investigators who aim to work on PIM and μPIM technology.
UNIQUENESS OF TWO DIFFERENTIAL POLYNOMIALS OF A MEROMORPHIC FUNCTION SHARING A SET
Ahamed, Molla Basir Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.4
In this paper, we are mainly devoted to find out the general meromorphic solution of some specific type of differential equation. We have also answered an open question posed by Banerjee-Chakraborty [4] by extending their results in a large extent. We have provided an example showing that the conclusion of the results of Zhang-Yang [16] is not general true. Some examples have been exhibited to show that certain claims are true in our main result. Finally some questions have been posed for the future research in this direction.
Class of Meromorphic Functions Partially Shared Values with Their Differences or Shifts
Ahamed, Molla Basir Department of Mathematics 2021 Kyungpook mathematical journal Vol.61 No.4
For a value s ∈ ℂ∪ {∞}, two meromorphic functions f and g are said to share the value s, CM, (or IM), provided that f(z)-s and g(z)-s have the same set of zeros, counting multiplicities, (respectively, ignoring multiplicities). We say that a meromorphic function f shares s ∈ Ŝ partially with a meromorphic function g if E(s, f) ⊆ E(s, g). It is easy to see that "partially shared values CM" are more general than "shared values CM". With the help of partially shared values, in this paper, we prove some uniqueness results between a non-constant meromorphic function and its generalized differences or shifts. We exhibit some examples to show that the result of Charak et al. [8] is not true for k = 2 or k = 3. We find some gaps in proof of the result of Lin et al. [24]. We not only correct these resuts, but also generalize them in a more convenient way. We give a number of examples to validate certain claims of the main results of this paper and also to show that some of conditions are sharp. Finally, we pose some open questions for further investigation.
Set shared by an Entire Function with its k-th Derivative Using Normal Families
Ahamed, Molla Basir Department of Mathematics 2020 Kyungpook mathematical journal Vol.60 No.2
In this paper, we study a problem of a non-constant entire function f that shares a set S = {a, b, c} with its k-th derivative f<sup>(k)</sup>, where a, b and c are any three distinct complex numbers. We have found a gap in the statement of the main result of Chang-Fang-Zalcman [10], and with the help of their method, we have generalize their result in a more compact form. As an application, we generalize the famous Brück conjecture [9] with the idea of set sharing.