scholarly journals High-frequency Bounds for the Helmholtz Equation Under Parabolic Trapping and Applications in Numerical Analysis

2020 ◽  
Vol 52 (1) ◽  
pp. 845-893 ◽  
Author(s):  
S. N. Chandler-Wilde ◽  
E. A. Spence ◽  
A. Gibbs ◽  
V. P. Smyshlyaev
Keyword(s):  
Numerical Analysis ◽  
Helmholtz Equation ◽  
High Frequency

scholarly journals Improvement of Risk Assessment Using Numerical Analysis for an Offshore Plant Dipole Antenna

Symmetry ◽  
2018 ◽  
Vol 10 (12) ◽  
pp. 681
Author(s):  
Yun-Jeong Cho ◽  
Kichang Im ◽  
Dongkoo Shon ◽  
Daehoon Park ◽  
Jong-Myon Kim
Keyword(s):  
Risk Assessment ◽  
Numerical Analysis ◽  
High Frequency ◽  
Dipole Antenna ◽  
Effective Field ◽  
Initial Assessment ◽  
International Electrotechnical Commission ◽  
Test Procedures ◽  
High Frequency Structure Simulator ◽  
Site Test

This paper proposes a numerical analysis method for improving risk assessment of radio frequency (RF) hazards. To compare the results of conventional code analysis, the values required for dipole antenna risk assessment, which is widely used in offshore plants based on the British standards (BS) guide, are calculated using the proposed numerical analysis. Based on the BS (published document CENELEC technical report (PD CLC/TR) 50427:2004 and international electrotechnical commission (IEC) 60079 for an offshore plant dipole antenna, an initial assessment, a full assessment, and on-site test procedures are performed to determine if there is a potential risk of high-frequency ignition. Alternatively, numerical analysis is performed using the Ansys high frequency structure simulator (HFSS) tool to compare results based on the BS guide. The proposed method computes the effective field strength and power for the antenna without any special consideration of the structure to simplify the calculation. Experimental results show that the proposed numerical analysis outperforms the risk assessment based on the BS guide in accuracy of the evaluation.

scholarly journals Thin-layer solutions of the Helmholtz equation

2020 ◽  
pp. 1-15
Author(s):  
J. R. OCKENDON ◽  
R. H. TEW
Keyword(s):  
Wave Propagation ◽  
Thin Layer ◽  
Helmholtz Equation ◽  
Open Problem ◽  
High Frequency ◽  
Mathematical Structure ◽  
Mathematical Physics ◽  
Thin Layers ◽  
Frequency Wave ◽  
High Frequency Wave

This paper gives a brief overview of some configurations in which high-frequency wave propagation modelled by Helmholtz equation gives rise to solutions that vary rapidly across thin layers. The configurations are grouped according to their mathematical structure and tractability and one of them concerns a famous open problem of mathematical physics.

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