Elliptic cylinder with a strongly elongated cross-section: high-frequency techniques and function theoretic methods

Author(s):  
Frédéric Molinet ◽  
Ivan Andronov
2019 ◽  
Vol 105 (6) ◽  
pp. 912-917
Author(s):  
Ivan V. Andronov

The problem of diffraction of a high-frequency point source acoustic field by an infinite elliptic cylinder with a strongly elongated cross-section is studied. At every direction of propagation, the solution is shown to be similar to those of a linear source field diffraction by a cylinder with correspondingly enlarged major semiaxis.


2015 ◽  
Vol 101 (5) ◽  
pp. 908-914
Author(s):  
I. V. Andronov ◽  
V. V. Monakhov

2021 ◽  
Author(s):  
Shuang Pang ◽  
Yang Zeng ◽  
Qi Yang ◽  
Bin Deng ◽  
Hong-Qiang Wang

Abstract In the terahertz band, the dispersive characteristic of dielectric material is one of the major problems in the scaled radar cross section (RCS) measurement, which is inconsistent with the electrodynamics similitude deducted according to the Maxwell’s equations. Based on the high-frequency estimation method of physical optics (PO), a scaled RCS measurement method for lossy objects is proposed through dynamically matching the reflection coefficients according to the distribution of the object’s facets. Simulations on the model of SLICY were conducted, the inversed RCS of the lossy prototype was obtained using the proposed method. Via comparing the inversed RCS with the calculated results, the validity of the proposed method is demonstrated. The proposed method provides an effective solution to the scaled RCS measurement for lossy objects in the THz band.


2018 ◽  
Vol 19 (12) ◽  
pp. 3872 ◽  
Author(s):  
Jian Tian ◽  
Qingbin Li ◽  
Xiaoyu Chu ◽  
Ningfeng Wu

In the natural host, most of the synonymous codons of a gene have been evolutionarily selected and related to protein expression and function. However, for the design of a new gene, most of the existing codon optimization tools select the high-frequency-usage codons and neglect the contribution of the low-frequency-usage codons (rare codons) to the expression of the target gene in the host. In this study, we developed the method Presyncodon, available in a web version, to predict the gene code from a protein sequence, using built-in evolutionary information on a specific expression host. The synonymous codon-usage pattern of a peptide was studied from three genomic datasets (Escherichia coli, Bacillus subtilis, and Saccharomyces cerevisiae). Machine-learning models were constructed to predict a selection of synonymous codons (low- or high-frequency-usage codon) in a gene. This method could be easily and efficiently used to design new genes from protein sequences for optimal expression in three expression hosts (E. coli, B. subtilis, and S. cerevisiae). Presyncodon is free to academic and noncommercial users; accessible at http://www.mobioinfor.cn/presyncodon_www/index.html.


Author(s):  
Jeremy Stromer ◽  
Leila Ladani

Peak density is an ultrasound measurement, which has been found to vary according to microstructure, and is defined as the number of local extrema within the resulting power spectrum of an ultrasound measurement. However, the physical factors which influence peak density are not fully understood. This work studies the microstructural characteristics which affect peak density through experimental, computationa,l and analytical means for high-frequency ultrasound of 22–41 MHz. Experiments are conducted using gelatin-based phantoms with glass microsphere scatterers with diameters of 5, 9, 34, and 69 μm and number densities of 1, 25, 50, 75, and 100 mm−3. The experiments show the peak density to vary according to the configuration. For example, for phantoms with a number density of 50 mm−3, the peak density has values of 3, 5, 9, and 12 for each sphere diameter. Finite element simulations are developed and analytical methods are discussed to investigate the underlying physics. Simulated results showed similar trends in the response to microstructure as the experiment. When comparing scattering cross section, peak density was found to vary similarly, implying a correlation between the total scattering and the peak density. Peak density and total scattering increased predominately with increased particle size but increased with scatterer number as well. Simulations comparing glass and polystyrene scatterers showed dependence on the material properties. Twenty-four of the 56 test cases showed peak density to be statistically different between the materials. These values behaved analogously to the scattering cross section.


2007 ◽  
Vol 12 (4) ◽  
pp. 511-534 ◽  
Author(s):  
Dunstan Brown ◽  
Carole Tiberius ◽  
Greville G. Corbett

This paper analyses constraints on inflectional syncretism and inflectional allomorphy using frequency information. Syncretism arises where one form is associated with more than one function, whereas inflectional allomorphy occurs where there is more than one inflectional class, and a single function is associated with two or more forms. If high frequency is associated with more differentiation on both sides, we expect, on the one hand, that a frequent function will have a high number of forms and, on the other, that a frequent form will have a high number of functions. Our study focuses on Russian nominals, in particular nouns, which exhibit both syncretism and inflectional allomorphy. We find that there is a relationship between frequency and differentiation, but that it is not exceptionless, and that the exceptions can be understood in terms of the use of referrals as default rules.


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