Search citation statements
Paper Sections
Citation Types
Year Published
Publication Types
Relationship
Authors
Journals
A theoretical and computational framework for the study and engineering of light–matter interactions is reviewed in here. The framework rests on the invariance properties of electromagnetism, and is formalized in a Hilbert space whose conformally invariant scalar product provides connections to physical quantities, such as the energy or momentum of a given field, or the outcome of measurements. The light–matter interaction is modeled by the polychromatic scattering operator, which establishes a natural connection to a popular computational formalism, the transition matrix, or T‐matrix. This review contains a succinct yet comprehensive description of the main theoretical ideas, and illustrates some of the practical benefits of the approach.
A theoretical and computational framework for the study and engineering of light–matter interactions is reviewed in here. The framework rests on the invariance properties of electromagnetism, and is formalized in a Hilbert space whose conformally invariant scalar product provides connections to physical quantities, such as the energy or momentum of a given field, or the outcome of measurements. The light–matter interaction is modeled by the polychromatic scattering operator, which establishes a natural connection to a popular computational formalism, the transition matrix, or T‐matrix. This review contains a succinct yet comprehensive description of the main theoretical ideas, and illustrates some of the practical benefits of the approach.
Understanding the impact of the relativistic motion of a chiral molecule on its optical response is a prime challenge for fundamental science, but it also has a direct practical relevance in our search for extraterrestrial life. To contribute to these significant developments, we describe a multi–scale computational framework that combines quantum chemistry calculations and full–wave optical simulations to predict the chiral optical response from molecules moving at relativistic speeds. Specifically, the effect of a relativistic motion on the transmission circular dichroism (TCD) of three life–essential biomolecules, namely, B–DNA, chlorophyll a, and chlorophyll b, is investigated. Inspired by previous experiments to detect interstellar chiral molecules, we assume that the molecules move between a stationary observer and a light source, and we study the rotationally averaged TCD as a function of the speed of the molecule.We find that the TCD spectrum that contains the signatures of the molecules shifts with increasing speed to shorter wavelengths, with the effects already being visible for moderate velocities.
Subject and Purpose. The transformation peculiarities that the electromagnetic pulses get when heading towards a boundary that per- forms uniformly accelerated relativistic motion are the present paper concern. A smooth non-stationarity case when the boundary velocity gradually changes from zero to the pulse velocity value is considered, with a focus on the spacetime distribution and evolution of the electromagnetic Airy pulse field. Methods and methodology. The study and analysis are carried out by the method of Volterra integral equations which can describe electromagnetic wave propagation in a heterogeneous time-varying medium. In terms of this method, the basic initial boundary value electrodynamical problem on the electromagnetic source radiation in a heterogeneous time-varying medium is formulated, taking into ac- count the boundary and initial conditions. The resolvent method for solving the Volterra integral equation of the second kind is described. Its advantage is analytical solution capabilities and a versatility as to the primary field choice. Results. Analytical solutions to the original integral equation have been obtained. By analysis, it has been found that the secondary field expressions have singularities that can be controlled well enough by a proper choice of numerical modeling parameters. The revealed singularities have been analytically studied. Their action on the Airy pulse was examined and illustrated through simulation modeling using the starting parameter that locates the Airy pulse at any moment in time. Conclusions. In this work, the electromagnetic Airy pulse interaction with a boundary perfoming uniformly accelerated relativistic motion was examined using the Volterra integral equations method. The obtained analytical solutions revealed significant spacetime changes in the Airy pulses. Our analysis indicated possibilities for controlling the secondary field characteristics by a proper choice of modeling parameters. The results have been confirmed by numerical simulations. They provide a basis for further research in this area
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.