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Öğe A maximum beam intersection method for the focusing property analysis of flat lenses(Elsevier B.V., 2012) Alagoz S.This study presents a statistical method for the focusing point analysis of flat lenses. The proposed method, referred to as the Maximum Beam Intersection method (MBI), analyzes the beam intersection density distribution on the focal axis of a flat lens by means of ray trace analysis. The MBI method not only provides an estimation of the focusing point location but also allows an assessment of the quality of the focusing points. The analysis demonstrates that the ideal imaging effect, obtained in the case of n = -1, has the highest beam intersection density. Results of the MBI method are in agreement with the results of the conventional analytical calculation and the flat lens simulation results. © 2012 THE PHYSICAL SOCIETY OF THE REPUBLIC OF CHINA.Öğe Theoretical demonstration of the hybrid focusing points of sonic crystal flat lenses and possible applications(2013) Alagoz S.; Alagoz B.B.We demonstrate the hybrid focusing points of sonic crystals for a multi-source array applied to flat sonic crystal lenses. The contributions of different point source couples form hybrid focusing points. Ray-trace analyses are conducted for acoustic flat lenses with multi-source configurations. The finite-difference time-domain (FDTD) simulation of flat lenses with multi-source configurations demonstrates the establishment of pure and hybrid focusing points in a pyramidal constellation. The number of focusing points in the pyramidal constellation depends on the number of point sources. We propose an acoustic device for fine-tuning the location of a far-field hybrid focusing point and discuss its benefits for acoustic energy focusing application. © 2013 Chinese Physical Society and IOP Publishing Ltd.Öğe Unitary fractional-order derivative operators for quantum computation(Elsevier, 2021) Alagoz B.B.; Alagoz S.Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and circuits in order to cope with computationally expensive engineering problems. This study aims to introduce possible implications of fractional calculus in quantum computation practice. In this perspective, a unitary fractional-order derivative operator family, which can be implemented by using phase operators, is defined and their possible utilizations for modeling and controlling quantum circuits are discussed. Moreover, the study demonstrates that the fractional derivative order can be used for controlling Shannon entropy of measurement probability distribution of qubits. Operation modes of single-sided and double-sided quantum interference circuits are analyzed, and optimal design of quantum interference circuits to obtain target probability distributions is investigated by using a genetic algorithm. This groundwork is helpful to extend topics of fractional calculus to quantum fractional calculus. © 2022 Elsevier Inc. All rights reserved.