Spherical Equal Area Ratio Conformal Mapping Method for Radome

Abstract

The present invention relates to the technical field of radome design, in particular to a spherical equal-area ratio conformal mapping method of a radome, comprising: establishing a mapping plane located on the x-axis and y-axis; dot matrixes are distributed on the plane, and each point represents a periodic unit , there is no coverage between the periodic units; determine a certain point Q in the lattice 0 As the center of the circle, find any point Q in the lattice; establish the surface spherical surface of the radome, and set Q 0 Map along the z-axis to the corresponding point P on the sphere 0 , map Q to the corresponding point P on the spherical surface; establish a local mapping between the unit where Q is located and the tangent plane with P as the origin; set the unit where Q is located with a scaling factor of α s , and perform linear mapping to the spherical surface of P, so that with Q 0 The area of ​​the circle passing through Q as the center of the circle is proportional to the area of ​​the spherical cap passing through P with the z axis as the central axis. The invention maps each periodic unit on the plane onto the surface spherical surface of the radome, and maintains the electromagnetic mutual coupling characteristics of the periodic unit distribution to the greatest extent under the conformal condition.

Description

technical field [0001] The invention relates to the technical field of radome design, in particular to a spherical equal-area ratio conformal mapping method of a radome. Background technique [0002] Using absorbing material on the surface of the radome, most conformal absorbing materials are studied cylindrical conformality, which is due to the fact that cylindrical conformality only bends in one direction. However, when building conformal absorbers on two-dimensional spheres, for example on a sphere, there is no suitable isometric mapping to place planar elements onto curved surfaces. This makes the design and implementation of radome conformal absorbers more difficult. Contents of the invention [0003] In order to solve the above-mentioned technical problems, the present invention provides a spherical equal area ratio conformal mapping method for a radome, which can design and realize a radome with a spherical surface. [0004] The spherical equal-area ratio conforma...

AI Technical Summary

Problems solved by technology

However, when building a conformal absorber on a 2D sphere, for example on a sphere, there is no suitable isometric mapping to place planar elements onto the curved surface

This makes the design and implementation of radome conformal absorbers more difficult

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