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Analytical solutions for the subsidiary maxima in multiple slit interference

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Abstract

We present analytical solutions for the subsidiary maxima in multiple slit interference up to eleven slits. For the number of slits N, there exist \(N-2\) subsidiary maxima between the two adjacent principal maxima. By analytically solving the derivative of the diffracted intensity function with respect to the phase difference, the angular positions and amplitudes of the \(N-2\) subsidiary maxima are expressed in succinct analytical forms for multiple slits with \(N \le 11\).

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Acknowledgements

This study was financially supported by Chonnam National University (Grant Number: 2017-2878). This research was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Science, ICT and future Planning (2017R1A2B4003483).

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Correspondence to Heung-Ryoul Noh.

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Noh, HR. Analytical solutions for the subsidiary maxima in multiple slit interference. Opt Rev 26, 561–567 (2019). https://doi.org/10.1007/s10043-019-00526-2

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