The Kullback–Leibler Divergence evolution of randomized electromagnetic field

Tian Shi; Yunzhou Li; Qingfan Shi; Liangsheng Li; Ning Zheng

doi:10.1016/j.optcom.2020.126411

The Kullback–Leibler Divergence evolution of randomized electromagnetic field

Tian Shi, Yunzhou Li, Qingfan Shi, Liangsheng Li^*, Ning Zheng

^*Corresponding author for this work

School of Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The statistical properties of randomized electromagnetic field have been investigated by simulating the scattering of electromagnetic waves by random media (RMs). In the viewpoint of a theoretical requirement, the probability density function of perfectly randomized field satisfies the zero-mean circular Gaussian (ZMCG) statistics. We find that Kullback–Leibler Divergence (KLD) can quantitatively evaluate the randomness of an electromagnetic field to improve the design of RMs. There are two types of RMs which can efficiently randomize the electromagnetic waves only by monotonically increasing the permittivity of scatterers. When both the permittivity and total number of scatterers are fixed, KLD always have a limitation in any practical RM, which are characterized by a plateau on the evolutionary curve.

Original language	English
Article number	126411
Journal	Optics Communications
Volume	478
DOIs	https://doi.org/10.1016/j.optcom.2020.126411
Publication status	Published - 1 Jan 2021

Keywords

Kullback–Leibler Divergence
Random media
Randomized electromagnetic field
Statistical optics

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10.1016/j.optcom.2020.126411

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title = "The Kullback–Leibler Divergence evolution of randomized electromagnetic field",

abstract = "The statistical properties of randomized electromagnetic field have been investigated by simulating the scattering of electromagnetic waves by random media (RMs). In the viewpoint of a theoretical requirement, the probability density function of perfectly randomized field satisfies the zero-mean circular Gaussian (ZMCG) statistics. We find that Kullback–Leibler Divergence (KLD) can quantitatively evaluate the randomness of an electromagnetic field to improve the design of RMs. There are two types of RMs which can efficiently randomize the electromagnetic waves only by monotonically increasing the permittivity of scatterers. When both the permittivity and total number of scatterers are fixed, KLD always have a limitation in any practical RM, which are characterized by a plateau on the evolutionary curve.",

keywords = "Kullback–Leibler Divergence, Random media, Randomized electromagnetic field, Statistical optics",

author = "Tian Shi and Yunzhou Li and Qingfan Shi and Liangsheng Li and Ning Zheng",

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AU - Shi, Tian

AU - Li, Yunzhou

AU - Shi, Qingfan

AU - Li, Liangsheng

AU - Zheng, Ning

PY - 2021/1/1

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N2 - The statistical properties of randomized electromagnetic field have been investigated by simulating the scattering of electromagnetic waves by random media (RMs). In the viewpoint of a theoretical requirement, the probability density function of perfectly randomized field satisfies the zero-mean circular Gaussian (ZMCG) statistics. We find that Kullback–Leibler Divergence (KLD) can quantitatively evaluate the randomness of an electromagnetic field to improve the design of RMs. There are two types of RMs which can efficiently randomize the electromagnetic waves only by monotonically increasing the permittivity of scatterers. When both the permittivity and total number of scatterers are fixed, KLD always have a limitation in any practical RM, which are characterized by a plateau on the evolutionary curve.

AB - The statistical properties of randomized electromagnetic field have been investigated by simulating the scattering of electromagnetic waves by random media (RMs). In the viewpoint of a theoretical requirement, the probability density function of perfectly randomized field satisfies the zero-mean circular Gaussian (ZMCG) statistics. We find that Kullback–Leibler Divergence (KLD) can quantitatively evaluate the randomness of an electromagnetic field to improve the design of RMs. There are two types of RMs which can efficiently randomize the electromagnetic waves only by monotonically increasing the permittivity of scatterers. When both the permittivity and total number of scatterers are fixed, KLD always have a limitation in any practical RM, which are characterized by a plateau on the evolutionary curve.

KW - Kullback–Leibler Divergence

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KW - Statistical optics

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JO - Optics Communications

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The Kullback–Leibler Divergence evolution of randomized electromagnetic field

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