Monotonicity-Based Interval Analysis Methods of Half-Wave Wall Radomes With Thickness and Permittivity Errors
Wanye Xu, Weiheng Li, Kai Wu, Naigang Hu, Peng Li, Yuanying Qiu
Abstract
The complex relation between permittivity and transmission coefficients has been a great obstacle to the interval-based tolerance analysis of radomes. This work presents two monotonicity-based methods (global/local) to facilitate precise interval analysis (IA) of half-wave-wall radomes with thickness and permittivity errors. The global monotonicity method reveals that the key parameters of radome transmission coefficients decrease monotonously with permittivity under a loose constraint in the form of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\vert $ </tex-math></inline-formula> tan(x) <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\vert \le \text {x}$ </tex-math></inline-formula> , which makes the IA of permittivity errors as simple/accurate as thickness errors. The local monotonicity method, with no premises and less accuracy, treats the two correlative parts of the key parameters independently and can be a potential supplement to the global one. Results of spherical radomes and tangent ogival radomes indicate that the monotonicity-based methods can well improve the IA precision, and the global monotonicity method applies to general cases.