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arXiv · 2410.04014

The Verifications of No Bright and Dark Fringes In a Standing-wave

Jiwu Chen·Wen Wei
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Abstract

After Wiener's experiment, it had been widely accepted that only electric-field was the fundamental-factor for optical interference and believed that there were alternating bright and dark fringes in a light standing-wave field which was formed by a pair of parallel light-beams traveling in mutually opposite directions. While being supplied to the bright fringes, the light-energy from the beams must pass across the dark fringes or across the electric-field nodes, so that the electric-field would not keep zero at the nodes. However, it was inconsistent with the characteristic of electric-field nodes at which the electric-field was zero anytime. Therefore, this naturally led to a presumption that there were no bright and dark interference-fringes in a standing-wave field, which was consistent with zero of the electromagnetic energy-flux-density in a standing-wave field. In this paper, it was fully verified from several aspects, including an ideal experiment, comparing a standing-wave with an LC circuit, a group of experiments and theoretical deductions of formulas. An inclination factor was introduced into the previous common formula of two-beams-interference to rectify it back to the original meaning of its initial definition by energy-flux-density rather than electric-field energy-density. Given the angle between the two-beams to be 180 degrees as a validation, it was verified by the corrected formula that the light-intensities of the bright interference-fringes in a standing-wave were equal to zero. i.e., no interference-fringes existed in a standing-wave field.Thus, instead of electric-field energy-density alone from Wiener's conclusions, interference-energy-flux density was the fundamental-factor to form interference-fringes. The magnetic-field vector acts the same role as the electric-field vector on light interacting with substance.

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Jiwu Chen, Wen Wei. 2025-02-11. The Verifications of No Bright and Dark Fringes In a Standing-wave. https://arxiv.org/abs/2410.04014

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