Amplification of optical activity in a fiber loop resonator

Alexeyev, C N; Barshak, E. V.; Lapin, B. P.; Vikulin, Dmitriy; Yavorsky, M. A.

doi:10.1364/ao.408536

Cited by 4 publications

(6 citation statements)

References 37 publications

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“…It does not involve the change of the Jones vector. This is in consistency with the observation [2,6,18,20] that the optical rotation in the chiral medium shows up as the rotation of the axes of polarization ellipse. It is hence improper to describe the optical activity as the transformation of the Jones vector [27].…”

Section: Conclusion and Remarkssupporting

confidence: 92%

“…Let us first look at the propagation velocity of circularly polarized waves in the chiral medium. To this end, we rewrite linearly polarized waves (20) and (22) explicitly as…”

Section: Further Discussionmentioning

confidence: 99%

“…Nowadays, circular birefringence has seemed to be widely accepted as true [7][8][9][11][12][13][14]. In particular, the difference between these two indices of refraction is even defined [2,[15][16][17][18][19][20] plainly as the circular birefringence.…”

Section: Introductionmentioning

confidence: 99%

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No circular birefringence in a chiral medium: an analysis of single-mode refraction

Hu¹,

Li²

2022

Preprint

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It is generally believed that the right-handed circularly polarized (RCP) and left-handed circularly polarized (LCP) waves in an isotropic chiral medium propagate at different velocities, known as circular birefringence. Here we show that this is not the case. After obtaining the refraction and reflection coefficients of any elliptically polarized wave at the surface of a chiral medium, we derive the conditions for single-mode refraction. By means of the process of single-mode refraction, we demonstrate that both the refracted RCP and the refracted LCP waves at normal incidence can be expressed as a coherent superposition of a pair of orthogonal linearly polarized waves that are rotated simultaneously. As a result, they must propagate at the same velocity as the linearly polarized waves. A physical interpretation is also given in detail. In particular, we show that the state of polarization of any elliptically polarized wave in a chiral medium is rotated with propagation. Such a rotation amounts to the rotation of polarization bases without involving the change of the Jones vector. The rotation of the RCP and LCP waves, as special cases of elliptically polarized waves, results in two opposite phases as if they propagated at different phase velocities with their polarization states transmitted unchanged.

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Section: Conclusion and Remarkssupporting

confidence: 92%

“…Let us first look at the propagation velocity of circularly polarized waves in the chiral medium. To this end, we rewrite linearly polarized waves (20) and (22) explicitly as…”

Section: Further Discussionmentioning

confidence: 99%

See 1 more Smart Citation

No circular birefringence in a chiral medium: an analysis of single-mode refraction

Hu¹,

Li²

2022

Preprint

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“…No circular birefringence exists in the chiral medium. What should be pointed out is that even though expression (23) correctly describes the RCP wave in the chiral medium, it does not mean that the RCP wave is a coherent superposition of the following linearly polarized waves,…”

Section: There Is Not Circular Birefringencementioning

confidence: 99%

“…Nowadays, circular birefringence has seemed to be widely accepted as true [7,[9][10][11][12][13][14][15][16][17]. In particular, the difference between these two indices of refraction is even defined [2,[18][19][20][21][22][23] plainly as the circular birefringence. We will show here that this is not the case.…”

Section: Introductionmentioning

confidence: 99%

No circular birefringence exists in a chiral medium: an analysis of single-mode refraction

2023

New J. Phys.

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Optical activity is one of the most fundamental phenomena in nature. The existing theoretical description of optical activity is the circular birefringence, proposed in 1825 by Fresnel. It states that the right-handed circularly polarized (RCP) and left-handed circularly polarized (LCP) waves in a chiral medium propagate at different velocities. Here we show that this is not the case. After obtaining the refraction and reflection coefficients of any elliptically polarized wave at the surface of an isotropic chiral medium, we derive the conditions for single-mode refraction. By means of the process of single-mode refraction, we demonstrate that both the refracted RCP and the refracted LCP waves at normal incidence can be expressed as a coherent superposition of a pair of orthogonal linearly polarized waves that are rotated simultaneously. As a result, they must propagate at the same velocity as the linearly polarized waves. A physical interpretation is also given in detail. In particular, we show that the state of polarization of any elliptically polarized wave in a chiral medium is rotated with propagation. Such a rotation amounts to the rotation of polarization bases without involving the change of the Jones vector. The rotation of the RCP and LCP waves, as special cases of elliptically polarized waves, results in two opposite phases as if they propagated at different phase velocities with their polarization states transmitted unchanged. These results demonstrate that the conventional characterization of optical polarization is incomplete. A further investigation into its new features is of great significance.

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Parametric control of propagation of optical vortices through fibre ring resonators

Alexeyev¹,

Barshak²,

Lapin³

et al. 2021

J. Opt.

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In this paper, we have studied transmission of optical vortices (OVs) through ring resonators (RRs) based on multimode fibres. Using the formalism of transfer matrix we have obtained in the scalar approximation the analytical expressions for amplitudes of transmitted OVs with opposite topological charges (TCs) as functions of RR’s parameters. We have calculated the orbital angular momentum (OAM) of the outcoming field and shown that by changing such parameters one can efficiently control its TC and continuously change its OAM. We have established that TC and OAM feature wavelength-scale sensitivity to variations of the ring’s length. We have demonstrated that this ability of RRs to influence OAM is due to a multipass interference assisted with TC inversion in the coupling area. We have also studied the effect of losses on the transmission of OVs through RRs and established that by controlling the attenuation parameter one can also control the TC of the outcoming field. Finally, we have solved the problem of OV transmission within the frameworks of a fully vectorial approach that allows for the spin–orbit interaction (SOI) in fibres. We have shown that accounting the SOI does not alter the main properties of RRs established with the use of the scalar approximation theory. We have shown that RRs, which operate on OAM modes, can be used for emulation of the quantum logical X, Y, S, T and Z gates. This can be useful for optical simulation of quantum computations.

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Amplification of optical activity in a fiber loop resonator

Cited by 4 publications

References 37 publications

No circular birefringence in a chiral medium: an analysis of single-mode refraction

No circular birefringence in a chiral medium: an analysis of single-mode refraction

No circular birefringence exists in a chiral medium: an analysis of single-mode refraction

Parametric control of propagation of optical vortices through fibre ring resonators

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