On quantifying the spin angular momentum density of light

Fuente: arXiv
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Autori principali: Zheng, Xiaoyu, Palffy-Muhoray, Peter
Natura: Preprint
Pubblicazione: 2025
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author Zheng, Xiaoyu
Palffy-Muhoray, Peter
author_facet Zheng, Xiaoyu
Palffy-Muhoray, Peter
contents In addition to energy, light carries linear and angular momentum. These are key quantities in rapidly developing optics research and in technologies focusing on light induced forces and torques on materials. Spin angular momentum (SAM) density is of particular interest, since unlike orbital angular momentum, it is uncoupled from linear momentum. The SAM density of light was first estimated in 1909 by Poynting, using a mechanical analogy. Exact expressions, based on results from quantum mechanics and field theory were subsequently developed, and are in common use today. In this paper, we show that the SAM density of light can be obtained directly from the Coulomb force and Maxwell's equations, without reliance on quantum mechanics or field theories; it could have been calculated by Maxwell and his contemporaries. Besides its historical significance, the simple derivation of our result makes it readily accessible to non-experts in the field.
format Preprint
id arxiv_https___arxiv_org_abs_2501_05565
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On quantifying the spin angular momentum density of light
Zheng, Xiaoyu
Palffy-Muhoray, Peter
Optics
In addition to energy, light carries linear and angular momentum. These are key quantities in rapidly developing optics research and in technologies focusing on light induced forces and torques on materials. Spin angular momentum (SAM) density is of particular interest, since unlike orbital angular momentum, it is uncoupled from linear momentum. The SAM density of light was first estimated in 1909 by Poynting, using a mechanical analogy. Exact expressions, based on results from quantum mechanics and field theory were subsequently developed, and are in common use today. In this paper, we show that the SAM density of light can be obtained directly from the Coulomb force and Maxwell's equations, without reliance on quantum mechanics or field theories; it could have been calculated by Maxwell and his contemporaries. Besides its historical significance, the simple derivation of our result makes it readily accessible to non-experts in the field.
title On quantifying the spin angular momentum density of light
topic Optics
url https://arxiv.org/abs/2501.05565