Advanced Electromagnetism: Foundations, Theory and Applications

Barrett, T. W.; Grimes, Dale M.

doi:10.1142/2599

Cited by 19 publications

(24 citation statements)

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“…B is the helicity of the electromagnetic field [18,19]. By similar means we obtain, for any monochromatic (not necessarily parallel) beam of circular frequency ω = ck, the elementary result…”

Section: Analytical Results For Optical Chiralitysupporting

confidence: 57%

Optical superchirality and electromagnetic angular momentum

Andrews¹,

Coles

2012

SPIE Proceedings

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The recent interest in "superchiral" fields, generated near planar chiral metamaterials, has prompted questions of deeper links between beam helicity and optical angular momentum. To address the issues invites consideration of the most appropriate metrics and their physical interpretation. This paper develops the photonic attributes of the chirality density, one of several measures that are conserved quantities for a vacuum electromagnetic field. The chirality density is explored with reference to an arbitrary polarization basis, and related to optical angular momentum. Analyzing multimode beams with complex wavefront structures affords a deeper understanding of the interplay between optical chirality and angular momentum.

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Section: Analytical Results For Optical Chiralitysupporting

confidence: 57%

Optical superchirality and electromagnetic angular momentum

Andrews¹,

Coles

2012

SPIE Proceedings

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“…The aim is to now show that this direct dependence on the difference between the number operators for left-and right-handed modes appears in a variety of electromagnetic helical measures. We proceed by first analyzing the helicity of the free electromagnetic field, defined as: [15,16]. Following the prescription of mode analysis used with the SAM operator, the helicity operator emerges as:…”

Section: Measures Of Chirality In Optical Radiationmentioning

confidence: 99%

“…Any acceptable basis of states has to satisfies the necessary orthogonality condition, n m nm    e e , the polarization pair corresponding to diametrically opposite points on the Poincaré sphere [19]. An arbitrary polarization vector e 1 , characterized by angular coordinates  and ,  and its counterpart basis vector e 2 , are generated according to the following prescription: (15) Secondly, to address the possible involvement of orbital angular momentum it is furthermore expedient to consider, as a representative example, Laguerre-Gaussian (LG) modes, these being prototypical examples of beams bearing orbital angular momentum [20,21]. As has recently been shown, the field structures of such beams can also be represented by an extension of the Poincaré sphere [22].…”

Section: Measures Of Chirality In Optical Radiationmentioning

confidence: 99%

Chirality and angular momentum in optical radiation

2012

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This paper develops, in precise quantum electrodynamic terms, photonic attributes of the "optical chirality density", one of several measures long known to be conserved quantities for a vacuum electromagnetic field. The analysis lends insights into some recent interpretations of chiroptical experiments, in which this measure, and an associated chirality flux, have been treated as representing physically distinctive "superchiral" phenomena. In the fully quantized formalism the chirality density is promoted to operator status, whose exploration with reference to an arbitrary polarization basis reveals relationships to optical angular momentum and helicity operators. Analyzing multi-mode beams with complex wave-front structures, notably Laguerre-Gaussian modes, affords a deeper understanding of the interplay between optical chirality and optical angular momentum. By developing theory with due cognizance of the photonic character of light, it emerges that only the spin angular momentum of light is engaged in such observations. Furthermore, it is shown that these prominent measures of the helicity of chiral electromagnetic radiation have a common basis, in differences between the populations of optical modes associated with angular momenta of opposite sign. Using a calculation of the rate of circular dichroism as an example, with coherent states to model the electromagnetic field, it is discovered that two terms contribute to the differential effect. The primary contribution relates to the difference in left- and right- handed photon populations; the only other contribution, which displays a sinusoidal distance-dependence, corresponding to the claim of nodal enhancements, is connected with the quantum photon number-phase uncertainty relation. From the full analysis, it appears that the term "superchiral" can be considered redundant

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“…Because of the two paths around the solenoid it is this group that describes the topology underlying the AharonovBohm effect [9][10][11]. SU(2)/Z 2 ffi SO(3) is obtained from the group SU(2) by identifying pairs of elements with opposite signs.…”

Section: Terence W Barrettmentioning

confidence: 99%

Topological Approaches to Electromagnetism

Barrett¹

Modern Nonlinear Optics, Part III

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Advanced Electromagnetism: Foundations, Theory and Applications

Cited by 19 publications

References 0 publications

Optical superchirality and electromagnetic angular momentum

Optical superchirality and electromagnetic angular momentum

Chirality and angular momentum in optical radiation

Topological Approaches to Electromagnetism

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