Jones and Mueller matrices: structure, symmetry relations and information content

Savenkov, Sergey N.

doi:10.1007/978-3-540-74276-0_3

Cited by 56 publications

(21 citation statements)

References 101 publications

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“…In optics, polarized light can be described using the Jones calculus, while the partially polarized one is treated using Mueller calculus [ 6 ].…”

Section: Jones and Mueller Formalism For Light Polarizationmentioning

confidence: 99%

Quantum Features of Macroscopic Fields: Entropy and Dynamics

Alicki

2019

Entropy

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Macroscopic fields like electromagnetic, MHD, acoustic or gravitational waves are usually described by classical wave equations with possible additional damping terms and coherent sources. The aim of this paper is to develop a complete macroscopic formalism including random/thermal sources, dissipation and random scattering of waves by environment. The proposed reduced state of field (RSF) combines averaged field with the two-point correlation function called single-particle density matrix. The evolution equations for RSF is obtained by reduction of the generalized quasi-free dynamical semigroups describing irreversible evolution of bosonic quantum field and the definition of RSF's entropy follows from the von Neumann entropy of quantum field states. The presented formalism can be applied, for example, to superradiance phenomena and allows to unify the Mueller and Jones calculi in polarization optics.

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“…In optics, polarized light can be described using the Jones calculus, while the partially polarized one is treated using Mueller calculus [ 6 ].…”

Section: Jones and Mueller Formalism For Light Polarizationmentioning

confidence: 99%

Quantum Features of Macroscopic Fields: Entropy and Dynamics

Alicki

2019

Entropy

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“…where S0 and S1 are the Stokes Vectors of the incident and output light, respectively [25,28,29], and 21 21…”

Section: S M S mentioning

confidence: 99%

Experimental investigation of quantum key distribution over a water channel

Zhao

Shen

et al. 2019

Appl. Opt.

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Quantum key distribution (QKD) has undergone significant development in recent decades, particularly with respect to free-space (air) and optical fiber channels. Here, we report the first proof-ofprinciple experiment for the BB84 protocol QKD over a water channel. Firstly, we demonstrate again the polarization preservation properties of the water channel in optical transmission according to the measured Mueller matrix, which is close to the unit matrix. The reason for the polarization preservation, revealed by Monte Carlo simulation, is that almost all the received photons are unscattered.Then, we performed the first polarization encoding BB84 protocol QKD over a 2.37m water channel. The results show that QKD can be performed with a low quantum bit error rate (QBER), less than 3.5%, with different attenuation coefficients.

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“…Parallel beam splitter for o light and e light transformation is different, this is mainly due to the e light does not comply with the law of conventional refraction, which can be clearly seen from Fig.1, so we should discuss separately. For o light, a parallel beam splitter is equivalent to an optical parallel plate, whose transformation matrix is [6,7] …”

Section: Theorem the Splitting Features Of Parallel Beam Splittermentioning

confidence: 99%

“…The matrix, as a mathematical tool, has penetrated much of optics field and created a system of its own [1][2][3]. When dealing with geometrical optics problems, we can use the transformation matrix; when dealing with polarization related problems, we can take advantage of Jones matrix; but for dealing with parallel beam splitter, which has both light changes and polarization issues, some matrix methods are helpless.…”

Section: Introductionmentioning

confidence: 99%

Study on Parallel Beam Splitting Polarizer with Matrix Method

Xie¹,

Wang²,

Dong³

2017

Proceedings of the 7th International Conference on Management, Education, Information and Control (MEICI 2017)

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Abstract. Jones matrix is a useful method which is widely used in optical research. But there is no existing such matrix for the parallel beam splitting polarizer, because it changes both the direction and polarization of incident light. This document explains and demonstrates how to treat a parallel beam splitting polarizer with matrix method. A block diagonal matrix is designed, in which the top left block is a 3-order transform matrix dealing with the geometrical light propagation, the bottom right block is a 2-order Jones matrix dealing with the polarization. As an application, we use this method to deal with the high efficiency polarizer. The theoretical deduce is coincident with experimental results.

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Jones and Mueller matrices: structure, symmetry relations and information content

Cited by 56 publications

References 101 publications

Quantum Features of Macroscopic Fields: Entropy and Dynamics

Quantum Features of Macroscopic Fields: Entropy and Dynamics

Experimental investigation of quantum key distribution over a water channel

Study on Parallel Beam Splitting Polarizer with Matrix Method

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