Simulated and experimental studies of a multi-band symmetric metamaterial absorber with polarization independence for radar applications

We develop a simple new design for a multi-band metamaterial absorber (MTMA) for radar applications. Computer Simulation Technology (CST) Studio Suite 2018 was used for the numerical analysis and absorption study. The simulated results show four high peaks at 5.6 GHz, 7.6 GHz, 10.98 GHz, and 11.29 GHz corresponding to absorption characteristics of 100%, 100%, 99%, and 99%, respectively. Furthermore, two different structures were designed and compared with the proposed MTMA. The proposed structure remained insensitive for any incident angle and polarization angle from 0° to 60°. Moreover, negative constitutive parameters were retrieved numerically. To support the simulated results, the proposed design was fabricated by using a computer numerical control-based printed circuit board prototyping machine and tested experimentally in a microwave laboratory. The absorption mechanism of the proposed MTMA is presented through the surface current and electric field distributions. The novelties of the proposed structure are a simple and new design, ease of fabrication, low cost, durability, suitability for real-time applications and long-term stability given the fabrication technique and non-destructive measurement method and very high absorption. The proposed structure has potential applications in C and X band frequency ranges.     

On the Diophantine equation x 2 − kxy + y 2 − 2 n = 0

In this study, we determine when the Diophantine equation x ²?kxy+y ²?2 ⁿ = 0 has an infinite number of positive integer solutions x and y for 0 ? n ? 10. Moreover, we give all positive integer solutions of the same equation for 0 ? n ? 10 in terms of generalized Fibonacci sequence. Lastly, we formulate a conjecture related to the Diophantine equation x ² ? kxy + y ² ? 2 ⁿ = 0.     

Momentum evolution of ejected and entrained fluid during laminar vortex ring formation

The evolution of total circulation and entrainment of ambient fluid during laminar vortex ring formation has been addressed in a number of previous investigations. Motivated by applications involving propulsion and fluid transport, the present interest is in the momentum evolution of entrained and ejected fluid and momentum exchange among the ejected, entrained fluid and added mass during vortex ring formation. To this end, vortex rings are generated numerically by transient jet ejection for fluid slug length-to-diameter (L/D) ratios of 0.5–3.0 using three different velocity programs [trapezoidal, triangular negative slope (NS), and positive slope (PS)] at a jet Reynolds number of 1,000. Lagrangian coherent structures (LCS) were utilized to identify ejected and entrained fluid boundaries, and a Runge-Kutta fourth order scheme was used for advecting these boundaries with the numerical velocity data. By monitoring the center of mass of these fluid boundaries, momentum of each component was calculated and related to the total impulse provided by the vortex ring generator. The results demonstrate that ejected fluid exchanges its momentum mostly with added mass during jet ejection and that the momentum of the entrained fluid at jet termination was < 11% of the total ring impulse in all cases except for the triangular NS case. Following jet termination, momentum exchange was observed between ejected and entrained fluid yielding significant increase in entrained fluid’s momentum. A performance metric was defined relating the impulse from over-pressure developed at the nozzle exit plane during jet ejection to the flow evolution, which increased preferentially with L/D over the range considered. An additional benefit of this study was the identification of the initial (i.e., before jet initiation) location of the fluid to be entrained into the vortex ring.     

A Selective LC Method for the Determination of Reboxetine in Human Plasma with Fluorescence Detection

A rapid, simple, accurate, sensitive and reproducible high performance liquid chromatographic method for the quantitation of reboxetine (REB) in human plasma using fluvoxamine as an internal standard (IS) has been developed and validated. The method is based on derivatization with 7-chloro-4-nitrobenzofurazan (NBD-Cl). The NBD-derivatives in plasma were extracted by liquid–liquid extraction and chromatographed on a reversed phase C₁₈ column with isocratic elution using acetonitrile and aqueous nitric acid (pH 3) solution. Calibration curve was linear over the range 2.0–200.0 ng mL⁻¹ with inter- and intra-assay precision (RSD%) of less than 4%. The mean recovery was about 94% for REB. The applicability of the method to the plasma was also studied.

     

Simultaneous HPLC Analysis of Olmesartan and Hydrochlorothiazide in Combined Tablets and in vitro Dissolution Studies

A simple, rapid and reproducible HPLC method was developed and validated for the simultaneous determination of olmesartan (OLM) medoxomil and hydrochlorothiazide (HCT) in combined tablets. Chromatography was carried out on a 4.6 mm I.D × 200 mm, 5 μm cyano column with methanol–10 mM phosphoric acid containing 0.1% triethylamine (pH 2.5, 50:50 v/v) at a flow rate of 1.0 mL min⁻¹ and UV detector was set at 260 nm. Valsartan (VAL) was used as internal standard (IS). A linear response was observed in the range of 0.2–6 μg mL⁻¹ (r ² = 0.9998) for OLM and 0.1–4 μg mL⁻¹ (r ² = 0.9999) for HCT, respectively. The method showed good recoveries (99.56% for OLM and 99.48% for HCT) and the relative standard deviation (RSD) values for intra- and inter-day precision were 0.70–1.59 and 0.80–2.00% for OLM and 1.20–1.37 and 1.63–1.93% for HCT, respectively. The developed method was applied successfully for quality control assay of OLM and HCT in combined tablets and in vitro dissolution studies.     

Synthesis of Some N-Alkoxycarbonyl-N″-benzoyl-benzamidrazones（p-toluamidrazones） and 1,3,5-Trisubstituted 1,2,4-Triazole Derivatives from N-Benzoylimidates and their Antimicrobial and Anticancer Screening Studies

Some new N-alkoxycarbonyl-N″-benzoyl-benzamidrazones （p-toluamidrazones） 3a-3d, and 1,3,5-trisubstituted 1,2,4-triazole 4a-4h derivatives by starting from N-benzoylbenzimidates or N-benzoyl-p-toluimidates. The structures of compounds 3 and 4 were established on the basis of elemental analyses, IR, ^1H NMR, ^13C NMR and UV data. Antimicrobial experiments of the compounds performed by using agar-well diffusion and broth microdilution methods revealed that only compounds 3a-3d, 4a and 4b showed inhibitory effect only on Candida albicans ATCC 60193. However, compound 4b had also specific antibacterial activity against Staphylococcus aureus ATCC 25923. The other compounds showed neither antifungal nor antibacterial activities. Compounds 3a, 4a and 4b have been screened on three human tumor cell lines, breast cancer （MCF7）, non small cell lung cancer （NCI-H460）, and CNS cancer （SF-268） at the National Cancer Institute （NCI）, USA, which were found to exhibit low antiproliferative activity.     

Reactions of Enone Ethylene Ketals with Methyl Diazomalonate/Bis(acetylacetonato)copper(II)

Several cyclic and acyclic enones and their ethylene ketals/acetals were reacted with dimethyl diazomalonate under bis(acetylacetonato)copper(II) catalysis. Cyclohex-2-en-1-one ( 1 ) yielded only C–H insertion products 2 and 3 , whereas but-3-en-2-one gave a cyclopropane albeit in very low yield. The ethylene ketals 6 of cyclopent-2-en-1-one and cyclohex-2-en-1-one gave the corresponding cyclopropanes 7 , which were in turn cleaved to the ketones 8 . The acetals 9 and 10 of crotonaldehyde ((E)-but-2-enal) and cinnamaldehyde ((E)-3-phenylprop-2-enal), respectively, yielded C–O insertion and [2,3]-sigmatropic rearrangement products 11b, c and 12b, c , as well as cyclopropanes 11a and 11b , all of which are polyfunctional and synthetically useful compounds.     

On the Lucas sequence equations $$V_{n}(P,1)=wkx^{2},$$$$w\in \left\{ 5,7\right\} $$w∈5,7

Let P be an odd integer and \((V_{n})\) denote the generalized Lucas sequence defined by \(V_{0}=2,\) \(V_{1}=P,\) and \(V_{n+1}=PV_{n}+V_{n-1}\) for \(n\ge 1.\) In this study, we solve the equations \(V_{n}=5kx^{2},\) \(V_{n}=7kx^{2},\) \(V_{n}=5kx^{2}\pm 1,\) and \(V_{n}=7kx^{2}\pm 1\) when k|P with \(k>1.\) Moreover, applying some of the results, we obtain complete solutions to the equations \(V_{n}=\sigma x^{2},\) \(\sigma \in \left\{ 15,21,35\right\} \).     

LC Assay of Eletriptan in Tablets and In Vitro Dissolution Studies

Eletriptan (ELT) is a new selective serotonin agonist approved for the treatment of acute migraine headaches. A simple and rapid liquid chromatographic method was developed and validated for the assay of ELT in tablets. Chromatography was carried out on a 250 mm × 4.6 mm C₁₈ column at 30 °C. Acetonitrile–15 mM triethylamine solution (adjusted to pH 7.0 using concentrated o-phosphoric acid) (60:40, v/v) mixture was used as mobile phase at 1.0 mL min^?1 flow rate and UV detector was set at 225 nm. A linear response (r ²  = 0.9999) was observed in the range of 0.1–1.6 μg mL^?1. The method showed good recoveries (100.08 %) and the RSD values for intra- and inter-day precision were 0.78–1.93 and 1.10–2.15%, respectively. The method can be used for quality control assays and in vitro dissolution studies of ELT in tablets.