In this paper, a novel three-dimensional (3-D) generalized hyperbolic secant (H-S) lens is first introduced using perforated dielectric material. The attractiveness of this new lens is its unique intrinsic flat shape characteristic and extensibility for different configuration scenarios, which provide a potential alternative design for a planar Luneburg and half Maxwell fish-eye lens based on a complex conformal mapping method. A high gain and wideband printed antipodal fermi antenna as a feeding source is employed in the proposed lens antenna prototype. The high radiation performance with low side lobe level of the fabricated lens prototype is validated from 8.2GHz to 12.5GHz, demonstrating 23.8 dBi realized gain at 10 GHz with 3-dB beamwidth of 9° and 2-dB fractional gain bandwidth of 41.6%. Besides, the total radiation efficiency is above ∼40% across all tested frequencies, which suggests the proposed H-S lens itself has a broadband response. The simplicity and low-cost fabrication using additive manufacturing of its lens design indicates great potential in broadband high directive antenna applications.
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http://dx.doi.org/10.1364/OE.426824 | DOI Listing |
J Magn Reson
January 2025
Center for Magnetic Resonance Research, University of Minnesota, Minneapolis, MN, USA. Electronic address:
During adiabatic full passage (AFP) radiofrequency (RF) pulses the relaxation functions are conventionally treated in the Tilting Doubly Rotating Frame (TDRF), or the second rotating frame (SRF) of reference. Such a description is adequate when during the adiabatic passage the magnetization M is perfectly aligned with the time dependent effective magnetic field, B(t), leading to T(t) relaxation, or evolves on a plane perpendicular to B(t), leading to T(t) relaxation. Time evolution of B(t) results in formation of a fictitious magnetic field, which is typically neglected during the AFP pulses operating in adiabatic regime, i.
View Article and Find Full Text PDFEntropy (Basel)
October 2024
Department of Molecular Pharmacology and Neuroscience, Loyola University Chicago, Chicago, IL 60660, USA.
When evaluating sensory stimuli, people tend to prefer those with not too little or not too much complexity. A recent theoretical proposal for this phenomenon is that preference has a direct link to the Observed Fisher Information that a stimulus carries about the environment. To make this theory complete, one must specify the model that the brain has about complexities in the world.
View Article and Find Full Text PDFJ Magn Reson
December 2024
Department of Physics, University of Maryland Baltimore County, Baltimore, MD 21250, USA. Electronic address:
In this paper, we numerically optimize broadband pulse shapes that maximize Hahn echo amplitudes. Pulses are parameterized as neural networks (NN), nonlinear amplitude limited Fourier series (FS), and discrete time series (DT). These are compared to an optimized choice of the conventional hyperbolic secant (HS) pulse shape.
View Article and Find Full Text PDFPLoS One
November 2024
Department of Mathematics, Penn State University, University Park, PA, United States of America.
In this paper, we reintroduce Dr. John Cross' neglected and unusually complete historical data set describing a smallpox epidemic occurring in Norwich, England in 1819. We analyze this epidemic data in the context of early models of epidemic spread including the Farr-Evans-Brownlee Normal law, the Kermack-McKendrick square Hyperbolic Secant and SIR laws, along with the modern Volz-Miller random-network law.
View Article and Find Full Text PDFPLoS One
November 2024
Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt.
This paper presents a new framework based on nonlinear partial differential equations and statistics. For the nonlinear Phi-4 equation, the probability density function of the hyperbolic secant (HS) distribution has been obtained. Our model's density has various shapes, including left-skewed, symmetric, and right-skewed.
View Article and Find Full Text PDFEnter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!