Electromagnetic scalar product in spatially bounded domains

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Maxim Vavilin, Carsten Rockstuhl, I. Fernandez‐Corbaton
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引用次数: 0

Abstract

Many physically interesting quantities of the electromagnetic field can be computed using the electromagnetic scalar product. However, none of the existing expressions for such scalar product are directly applicable when the fields are only known in a spatially-bounded domain, as is the case for many numerical Maxwell solvers. In here, we derive an expression for the electromagnetic scalar product between radiation fields that only involves integrals over closed spatial surfaces. The expression readily leads to formulas for the number of photons, energy, and helicity of generic polychromatic light pulses of incoming or outgoing character. The capabilities of popular Maxwell solvers in spatially-bounded computational domains are thereby augmented, for example, by a straightforward method for normalizing emitted fields so that they contain a single photon.
空间有界域中的电磁标量积
利用电磁标量积可以计算出许多物理上有趣的电磁场量。然而,当辐射场只在空间边界域中已知时,现有的这种标量积表达式都无法直接应用,许多数值麦克斯韦求解器就是这种情况。在本文中,我们推导出了辐射场之间电磁标量积的表达式,该表达式只涉及封闭空间曲面上的积分。通过该表达式,我们很容易得出入射或出射的通用多色光脉冲的光子数、能量和螺旋度公式。因此,流行的麦克斯韦求解器在空间受限计算域中的能力得到了增强,例如,通过一种直接的方法对发射场进行归一化处理,使其包含单光子。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
期刊介绍: ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.
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