Circular polarization: Difference between revisions

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In a circularly polarized electromagnetic wave, the individual electric field vectors, as well as their combined vector, have a constant [[Magnitude (vector)|magnitude]], and with changing phase angle. Given that this is a [[plane wave]], each vector represents the magnitude and direction of the electric field for an entire plane that is perpendicular to the optical axis. Specifically, given that this is a [[Plane wave#Polarized electromagnetic plane waves|circularly polarized plane wave]], these vectors indicate that the electric field, from plane to plane, has a constant strength while its direction steadily rotates. Refer to [[Sinusoidal_plane_wave#Polarized electromagnetic plane waves|these two images]]{{dead link|date=January 2021}} in the plane wave article to better appreciate this dynamic. This light is considered to be right-hand, clockwise circularly polarized if viewed by the receiver. Since this is an [[Electromagnetic radiation|electromagnetic wave]], each [[electric field]] vector has a corresponding, but not illustrated, [[magnetic field]] vector that is at a [[right angle]] to the electric field vector and [[Proportionality (mathematics)|proportional]] in magnitude to it. As a result, the magnetic field vectors would trace out a second helix if displayed.

Circular polarization is often encountered in the field of optics and, in this section, the electromagnetic wave will be simply referred to as [[light]].

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==In quantum mechanics==

{{further|Photon polarization}}

In the [[quantum mechanical]] view, light is composed of [[photons]]. Polarization is a manifestation of the [[spin angular momentum of light]]. More specifically, in quantum mechanics, the direction of spin of a photon is tied to the handedness of the circularly polarized light, and the spin of a beam of photons is similar to the spin of a beam of particles, such as electrons.<ref>Introduction to Quantum Theory 2ED David Park Sec 2.2 Pg32 "... the polarization of a beam of light is exactly the same kind of thing as the spin of a beam of electrons, the differences of terminology reflecting only the accidents of the historical order of discovery."</ref> In the [[physics]] convention (from the point of view of the source), a right-handed circular polarization corresponds to a positive spin (denoted <math>\sigma^+</math>), whereas a left-handed circular polarization corresponds to a negative spin (denoted <math>\sigma^-</math>).<ref>W. Demtröder, [https://emineter.wordpress.com/wp-content/uploads/2015/03/atoms-molecules-and-photons-demtrc3b6der-springer-2005.pdf "Atoms, molecules and photons"], 2006, Springer, sec. 3.1, p. 91. The author uses the optics convention. "If left circularly-

polarized light (σ+-polarization) propagating in the z

direction is absorbed by atoms, the z component of

their angular momentum Jz is changed by ∆Jz = +ℏ". </ref>

==In nature==

[[File:Cetonia-aurata.jpg|thumb|right|The [[Cetonia aurata|rose chafer]]'s external surface reflects almost exclusively left-circularly polarized light.]]

Only a few mechanisms in nature are known to systematically produce circularly polarized [[light]]. In 1911, [[Albert A. Michelson|Albert Abraham Michelson]] discovered that light reflected from the golden scarab beetle ''[[Chrysina resplendens]]'' is preferentially left-polarized. Since then, circular polarization has been measured in several other [[Scarabaeidae|scarab beetles]] such as ''[[Chrysina gloriosa]]'',<ref>{{Cite journal|url=https://www.science.org/doi/10.1126/science.1172051|title=Structural Origin of Circularly Polarized Iridescence in Jeweled Beetles|first1=Mohan|last1=Srinivasarao|first2=Jung Ok|last2=Park|first3=Matija|last3=Crne|first4=Vivek|last4=Sharma|date=July 24, 2009|journal=Science|volume=325|issue=5939|pages=449–451|via=science.sciencemag.org|doi=10.1126/science.1172051|pmid=19628862|bibcode=2009Sci...325..449S|s2cid=206519071|url-access=subscription}}</ref> as well as some [[crustacean]]s such as the [[mantis shrimp]]. In these cases, the underlying mechanism is the molecular-level helicity of the [[chitin]]ous [[cuticle]].<ref name="Hegedüs">{{cite journal |title=Imaging polarimetry of the circularly polarizing cuticle of scarab beetles (Coleoptera: Rutelidae, Cetoniidae) |author1=Hegedüs, Ramón |author2=Győző Szélb |author3=Gábor Horváth |doi=10.1016/j.visres.2006.02.007 |journal=Vision Research |volume=46 |issue=17 |date=September 2006 |pages=2786–2797 |pmid=16564066 |s2cid=14974820 |doi-access=free }}</ref>

The [[bioluminescence]] of the [[larva]]e of [[firefly|fireflie]]s is also circularly polarized, as reported in 1980 for the species ''[[Photuris|Photuris lucicrescens]]'' and ''[[Photuris versicolor]]''. For fireflies, it is more difficult to find a microscopic explanation for the polarization, because the left and right lanterns of the larvae were found to emit polarized light of opposite senses. The authors suggest that the light begins with a [[linear polarization]] due to inhomogeneities inside aligned [[photocyte]]s, and it picks up circular polarization while passing through linearly [[Birefringence|birefringent]] tissue.<ref>{{cite journal |title=Circular polarization observed in bioluminescence |author1=Wynberg, Hans |author2=Meijer, E.W. |author3=Hummelen, J.C. |author4=Dekkers, H.P.J.M. |author5=Schippers, P.H. |author6=Carlson, A.D. |url=http://keur.eldoc.ub.rug.nl/FILES/wetenschappers/10/29/29.pdf |journal=Nature |volume=286 |issue=5773 |pages=641–642 |date=7 August 1980 |doi=10.1038/286641a0 |bibcode=1980Natur.286..641W |s2cid=4324467 |url-status=dead |archive-url=https://web.archive.org/web/20110724164914/http://keur.eldoc.ub.rug.nl/FILES/wetenschappers/10/29/29.pdf |archive-date=24 July 2011 }}</ref>