Comparison of numerical integration methods for calculating diffraction of a plane electromagnetic wave by a rectangular aperture

Abstract

We discuss features of the calculation of a Fraunhofer integral by traditional quadrature numerical integration methods and a special collocation Levin method when calculating the diffraction of a plane electromagnetic wave by a rectangular aperture. For the quadrature numerical integration methods, a criterion for the assessment of the integration step is derived depending on the screen size and required calculation accuracy. Advantages of the use of the special collocation Levin method in comparison with the traditional quadrature numerical integration methods are shown.

Keywords

• diffraction integral
• integration of oscillatory functions
• method of rectangles
• trapezium method
• levin method
• fraunhofer diffraction