Monotonicity-Based Interval Analysis Methods of Half-Wave Wall Radomes With Thickness and Permittivity Errors

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.