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Lorentz's reciprocity lemma and Feld-Tai reciprocity theorem show the effect of interchanging the action and reaction in Maxwell's equations. We derive a free-space version of these reciprocity relations which generalizes the conservation…

Optics · Physics 2015-05-13 Michael Mazilu

We present a general theory of spin-to-orbital angular momentum (AM) conversion of light in focusing, scattering, and imaging optical systems. Our theory employs universal geometric transformations of nonparaxial optical fields in such…

We develop a general framework to analyze the two important and much discussed questions concerning (a) `orbital' and `spin' angular momentum carried by light and (b) the paraxial approximation of the free Maxwell system both in the…

Quantum Physics · Physics 2018-11-14 Arvind , Subhash Chaturvedi , N. Mukunda

For paraxial and non-paraxial light, numerous measures of electromagnetic attribute are expressible in terms of photon annihilation and creation. Accordingly, energy, angular momentum and chirality measures acquire a consistent…

Optics · Physics 2018-02-14 Matt M. Coles , David L. Andrews

We report the first demonstration of a direct interaction between the extraordinary transverse spin angular momentum in evanescent waves and the intrinsic orbital angular momentum in optical vortex beams. By tapping the evanescent wave of…

Optics · Physics 2018-05-09 Zengkai Shao , Jiangbo Zhu , Yujie Chen , Yanfeng Zhang , Siyuan Yu

Besides a linear momentum, optical fields carry an angular momentum (AM), which have two intrinsic components: one is spin angular momentum (SAM) related to the polarization state of the field, and the other is orbital angular momentum…

This paper analyzes the algebraic and physical properties of the spin and orbital angular momenta of light in the quantum mechanical framework. The consequences of the fact that these are not angular momenta in the quantum mechanical sense…

Quantum Physics · Physics 2020-06-05 Arvind , S. Chaturvedi , N. Mukunda

Light carries spin and orbital angular momentum. These dynamical properties are determined by the polarization and spatial degrees of freedom of light. Modern nano-optics, photonics, and plasmonics, tend to explore subwavelength scales and…

Optics · Physics 2016-11-22 K. Y. Bliokh , F. J. Rodriguez-Fortuno , F. Nori , A. V. Zayats

Bessel beams are studied within the general framework of quantum optics. The two modes of the electromagnetic field are quantized and the basic dynamical operators are identified. The algebra of these operators is analyzed in detail; it is…

Quantum Physics · Physics 2009-11-10 R. Jauregui , S. Hacyan

The problem of the position and spin in relativistic quantum mechanics is analyzed in detail. It is definitively shown that the position and spin operators in the Foldy-Wouthuysen representation (but not in the Dirac one) are…

Quantum Physics · Physics 2020-04-16 Liping Zou , Pengming Zhang , Alexander J. Silenko

The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physical consequences. In this paper, we construct the…

High Energy Physics - Theory · Physics 2025-04-04 Wen-Bin Liu , Jiang Long , Xin-Hao Zhou

Laboratory optics, typically dealing with monochromatic light beams in a single reference frame, exhibits numerous spin-orbit interaction phenomena due to the coupling between the spin and orbital degrees of freedom of light. Similar…

Optics · Physics 2018-04-18 D. A. Smirnova , V. M. Travin , K. Y. Bliokh , F. Nori

Spin angular momentum of a photon corresponds to a polarisation degree of freedom of lights, and such that various polarisation properties are coming from macroscopic manifestation of quantum-mechanical properties of lights. An orbital…

Optics · Physics 2024-06-07 Shinichi Saito

The well-known effects of the spin-orbit interaction of light are manifestations of pair mutual influence of the three types of the angular momentum of light, namely, the spin angular momentum, the extrinsic orbital angular momentum and the…

Optics · Physics 2016-08-24 Sarkew Abdulkareem , Nataliya Kundikova

When light is transmitted through optically inhomogeneous and anisotropic media the spatial distribution of light can be modified according to its input polarization state. A complete analysis of this process, based on the paraxial…

Quantum Physics · Physics 2011-02-08 Gabriel F. Calvo , Antonio Picón

All elementary particles in nature can be classified as fermions with half-integer spin and bosons with integer spin. Within quantum electrodynamics (QED), even though the spin of the Dirac particle is well defined, there exist open…

Quantum Physics · Physics 2022-06-01 Li-Ping Yang , Farhad. Khosravi , Zubin Jacob

Angular momenta of electromagnetic waves are important both in concepts and applications. In this work, we systematically discuss two types of angular momenta, i.e., spin angular momentum and orbital angular momentum in various cases, e.g.,…

We derive exact expressions, in the form of Fourier integrals over the (k,w) domain, for the energy, momentum, and angular momentum of a light pulse propagating in free space. The angular momentum is seen to split naturally into two parts.…

Optics · Physics 2012-05-29 Masud Mansuripur

Traditionally, the interactions related to the 3D spatial angular momentum have been studied completely, while the ones related to the generators of Lorentz boost are always ignored. In this paper we show that the generators of Lorentz…

Other Condensed Matter · Physics 2007-05-23 Z. Y. Wang , C. D. Xiong

Quantizing the transfer of energy and momentum between interacting particles, we obtain a quantum impulse equation and relations that the corresponding mechanical power, force and torque satisfy. In addition to the energy-frequency and…

Quantum Physics · Physics 2021-02-25 Miroslav Georgiev