scholarly journals Coherent parity violation

1976 ◽  
Vol 54 (5) ◽  
pp. 568-574 ◽  
Author(s):  
Gabriel Karl
Keyword(s):  
Optical Activity ◽  
Parity Violation ◽  
Rotatory Power ◽  
Forward Scattering ◽  
Elementary Level ◽  
Neutron Beams ◽  
Massive Particles ◽  
Order Of Magnitude ◽  
Magnitude Estimates

Recent theoretical speculations about parity violating effects in the forward scattering of massless and massive particles are reviewed at an elementary level. These phenomena are analogous to optical activity, whose history is also briefly reviewed. Order of magnitude estimates for the rotatory power are presented, and the feasibility of experiments with neutron beams is discussed.

scholarly journals Optical rotatory power. I—A theoretical calculation for a molecule containing only isotropic refractive centres

1934 ◽  
Vol 144 (853) ◽  
pp. 655-675 ◽  
Keyword(s):  
Theoretical Calculation ◽  
Optical Activity ◽  
Chemical Structure ◽  
Central Atom ◽  
Optical Rotation ◽  
Rotatory Power ◽  
Theoretical Formula ◽  
Optical Rotatory ◽  
Present Communication ◽  
Optical Rotatory Power

Ever since the time of van’t Hoff and Le Bel the number investigations dependent on optical activity, or attempting to elucidate optical activity, has been very great, and it is remarkable that, even at the present time, there is no theoretical formula which gives the relation between the magnitude of the rotation and the chemical structure of the molecule concerned. The present communication supplies this want with regard to the molecule of the simplest asymmetric type: the molecule with four different groups attached to one central atom. Various special hypothese have been postulated to explain optical activity, but a few investigators have shown quite definitely that there is no necessity for any of these hypotheses. Born* and Oseen have shown independently that, if the molecule has a dissymmetric structure, the ordinary refractive properties of the atoms will account for an optical rotation. Gray* and de Mallemann have attempted calculations of formulæ for optical retatory power on this basis. However, it has not been possible to condense the numerous algebraic terms which occur in these calculaations into a compact form.

scholarly journals Twins in YAl3(BO3)4 and K2Al2B2O7 Crystals as Revealed by Changes in Optical Activity

Crystals ◽  
2018 ◽  
Vol 9 (1) ◽  
pp. 8 ◽  
Author(s):  
Johannes Buchen ◽  
Volker Wesemann ◽  
Steffen Dehmelt ◽  
Andreas Gross ◽  
Daniel Rytz
Keyword(s):  
Optical Properties ◽  
Optical Activity ◽  
Nonlinear Optical ◽  
Frequency Conversion ◽  
Optical Rotation ◽  
Visible Spectrum ◽  
Rotatory Power ◽  
Nonlinear Optical Properties ◽  
Crystal Quality ◽  
Optical Rotatory Dispersion

Many borate crystals feature nonlinear optical properties that allow for efficient frequency conversion of common lasers down into the ultraviolet spectrum. Twinning may degrade crystal quality and affect nonlinear optical properties, in particular if crystals are composed of twin domains with opposing polarities. Here, we use measurements of optical activity to demonstrate the existence of inversion twins within single crystals of YAl 3 (BO 3 ) 4 (YAB) and K 2 Al 2 B 2 O 7 (KABO). We determine the optical rotatory dispersion of YAB and KABO throughout the visible spectrum using a spectrophotometer with rotatable polarizers. Space-resolved measurements of the optical rotation can be related to the twin structure and give estimates on the extent of twinning. The reported dispersion relations for the rotatory power of YAB and KABO may be used to assess crystal quality and to select twin-free specimens.

Rotatory Power and Optical Activity

2014 ◽  
pp. 385-406
Author(s):  
Cécile Malgrange ◽  
Christian Ricolleau ◽  
Michel Schlenker
Keyword(s):  
Optical Activity ◽  
Rotatory Power

scholarly journals Anomalous forward scattering of gain-assisted dielectric shell-coated metallic core spherical particles

Nanophotonics ◽  
2016 ◽  
Vol 6 (5) ◽  
pp. 1063-1072 ◽  
Author(s):  
Fei Shen ◽  
Ning An ◽  
Yifei Tao ◽  
Hongping Zhou ◽  
Zhaoneng Jiang ◽  
...  
Keyword(s):  
Forward Direction ◽  
Mie Scattering ◽  
Forward Scattering ◽  
Spherical Particles ◽  
Optical Antennas ◽  
Core Shell ◽  
Shell Nanoparticles ◽  
Dielectric Shell ◽  
Weak Scattering ◽  
Order Of Magnitude

AbstractWe have investigated the scattering properties of an individual core-shell nanoparticle using the Mie theory, which can be tuned to support both electric and magnetic modes simultaneously. In general, the suppression of forward scattering can be realized by the second Kerker condition. Here, a novel mechanism has to be adopted to explain zero-forward scattering, which originates from the complex interactions between dipolar and quadrupolar modes. However, for lossy and lossless core-shell spherical nanoparticles, zero-forward scattering can never be achieved because the real parts of Mie expansion coefficients are always positive. By adding proper gain in dielectric shell, zero-forward scattering can be found at certain incident wavelengths, which means that all electric and magnetic responses in Mie scattering can be counteracted totally in the forward direction. In addition, if the absolute values of dipolar and quadrupolar terms are in the same order of magnitude, the local scattering minimum and maximum can be produced away from the forward and backward directions due to the interacting effect between the dipolar and quadrupolar terms. Furthermore, by adding suitable gain in shell, super-forward scattering can also be realized at certain incident wavelengths. We also demonstrated that anomalously weak scattering or superscattering could be obtained for the core-shell nanoparticles with suitable gain in shell. In particular, for such a choice of suitable gain in shell, we can obtain zero-forward scattering and anomalously weak scattering at the same wavelength as well as super-forward scattering at another wavelength. These features may provide new opportunities for cloaking, plasmonic lasers, optical antennas, and so on.

scholarly journals Microscopic origin of the chiroptical response of optical media

2019 ◽  
Vol 5 (10) ◽  
pp. eaav8262 ◽  
Author(s):  
Matthew S. Davis ◽  
Wenqi Zhu ◽  
Jay K. Lee ◽  
Henri J. Lezec ◽  
Amit Agrawal
Keyword(s):  
Optical Activity ◽  
Electromagnetic Coupling ◽  
Spectroscopic Techniques ◽  
Optical Fields ◽  
Model Framework ◽  
Optical Elements ◽  
Optical Media ◽  
Model Predictions ◽  
Generalized Framework ◽  
Order Of Magnitude

The potential for enhancing the optical activity of natural chiral media using engineered nanophotonic components has been central in the quest toward developing next-generation circular-dichroism spectroscopic techniques. Through confinement and manipulation of optical fields at the nanoscale, ultrathin optical elements have enabled a path toward achieving order-of-magnitude enhancements in the chiroptical response. Here, we develop a model framework to describe the underlying physics governing the origin of the chiroptical response in optical media. The model identifies optical activity to originate from electromagnetic coupling to the hybridized eigenstates of a coupled electron-oscillator system, whereas differential absorption of opposite handedness light, though resulting in a far-field chiroptical response, is shown to have incorrectly been identified as optical activity. We validate the model predictions using experimental measurements and show them to also be consistent with observations in the literature. The work provides a generalized framework for the design and study of chiroptical systems.

Magnetic optical activity in intense laser fields. II. Forward scattering

1985 ◽  
Vol 32 (4) ◽  
pp. 2223-2229 ◽  
Author(s):  
S. Giraud-Cotton ◽  
V. P. Kaftandjian ◽  
L. Klein
Keyword(s):  
Optical Activity ◽  
Forward Scattering ◽  
Intense Laser ◽  
Intense Laser Fields ◽  
Laser Fields

Vibrational Raman optical activity in forward scattering: Trans-pinane and β-pinene

1990 ◽  
Vol 21 (6) ◽  
pp. 375-379 ◽  
Author(s):  
L. D. Barron ◽  
L. Hecht ◽  
A. R. Gargaro ◽  
W. Hug
Keyword(s):  
Optical Activity ◽  
Forward Scattering ◽  
Raman Optical Activity

Strong enhancement of parity violation effects in chiral uranium compounds

2014 ◽  
Vol 16 (32) ◽  
pp. 17043-17051 ◽  
Author(s):  
Michael Wormit ◽  
Małgorzata Olejniczak ◽  
Anna-Lena Deppenmeier ◽  
Anastasia Borschevsky ◽  
Trond Saue ◽  
...  
Keyword(s):  
Parity Violation ◽  
Strong Enhancement ◽  
Uranium Compounds ◽  
Order Of Magnitude ◽  
New Generation

A new generation of molecular candidates for parity violation measurements. The chiral UNXYZ compounds are predicted to exhibit strong parity violating effects which are up to an order of magnitude larger than for any of the previously suggested candidates.

scholarly journals The approximation of piecewise smooth functions by trigonometric Fourier sums

2019 ◽  
pp. 25-42
Author(s):  
Magomedrasul Magomed-Kasumov
Keyword(s):  
Fourier Series ◽  
Piecewise Smooth ◽  
Continuous Derivative ◽  
Exact Order ◽  
Smooth Functions ◽  
Absolutely Continuous ◽  
Piecewise Smooth Functions ◽  
Order Of Magnitude ◽  
Fourier Sums ◽  
Magnitude Estimates

We obtain exact order-of-magnitude estimates of piecewise smooth functions approximation by trigonometric Fourier sums. It is shown that in continuity points Fourier series of piecewise Lipschitz function converges with rate $\ln n/n$. If function $f$ has a piecewise absolutely continuous derivative then it is proven that in continuity points decay order of Fourier series remainder $R_n(f,x)$ for such function is equal to $1/n$. We also obtain exact order-of-magnitude estimates for $q$-times differentiable functions with piecewise smooth $q$-th derivative. In particular, if $f^{(q)}(x)$ is piecewise Lipschitz then $|R_n(f,x)| \le c(x)\frac{\ln n}{n^{q+1}}$ in continuity points of $f^{(q)}(x)$ and $\sup_{x \in [0,2\pi]}|R_n(f,x)| \le \frac{c}{n^q}$. In case when $f^{(q)}(x)$ has piecewise absolutely continuous derivative it is shown that $|R_n(f,x)| \le \frac{c(x)}{n^{q+1}}$ in continuity points of $f^{(q)}(x)$. As a consequence of the last result convergence rate estimate of Fourier series to continuous piecewise linear functions is obtained.

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