Analytical solutions for irradiance of principal and subsidiary maxima in multiple-slit diffraction

Heung-Ryoul Noh

doi:10.1016/j.heliyon.2023.e12991

Analytical solutions for irradiance of principal and subsidiary maxima in multiple-slit diffraction

Heliyon. 2023 Jan 16;9(1):e12991. doi: 10.1016/j.heliyon.2023.e12991. eCollection 2023 Jan.

Author

Heung-Ryoul Noh¹

Affiliation

¹ Department of Physics, Chonnam National University, Gwangju 61186, Republic of Korea.

Abstract

This paper presents analytical solutions for the irradiance of principal and subsidiary maxima in multiple-slit diffraction with arbitrary slit numbers. By analytically solving the equation for the principal and subsidiary maxima, the irradiance of the principal and subsidiary maxima can be obtained up to the twelfth order in $a / d$ , where a is the width of each slit and d is the separation between two adjacent slits.

Keywords: Fraunhofer diffraction; Multiple slits; Principal maxima; Subsidiary maxima.