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We show that the problem of finding the primary and secondary characteristic directions of a linear lossless optical element can be reformulated in terms of an eigenvalue problem related to the unimodular factor of the transfer matrix of…

Optics · Physics 2007-05-23 Hanno Hammer

The nonlinear magneto-optical response of $s$- and $d$-wave superconductors is discussed. We carry out the symmetry analysis of the nonlinear magneto-optical susceptibility in the superconducting state. Due to the surface sensitivity of the…

Condensed Matter · Physics 2009-10-28 J. Schmalian , W. Hübner

M.Levitin and E.Shargorodsky purposed in a recent article, [math.SP/0212087], the use of the so called ``second order relative spectrum'', to find eigenvalues of self-adjoint operators in gaps of the essential spectrum. Let $M$ be a…

Spectral Theory · Mathematics 2025-10-20 Lyonell Boulton

Materials with large second-order nonlinearities are crucial for next-generation integrated photonics. Spontaneously oriented organic thin films prepared by physical vapor deposition offer a promising poling-free and scalable approach. This…

An ab initio approach to the calculation of excitonic effects in the optical absorption spectra of semiconductors and insulators is formulated. It starts from a quasiparticle bandstructure calculation and is based on the relevant…

Condensed Matter · Physics 2016-08-31 Stefan Albrecht , Lucia Reining , Rodolfo Del Sole , Giovanni Onida

The resistance between arbitrary two nodes in a resistor network is obtained in terms of the eigenvalues and eigenfunctions of the Laplacian matrix associated with the network. Explicit formulas for two-point resistances are deduced for…

Mathematical Physics · Physics 2009-11-10 F. Y. Wu

The second-order nonlinear optical susceptibility $\Pi^{(2)}$ for second harmonic generation is calculated for gapped graphene. The linear and second-order nonlinear plasmon excitations are investigated in context of second harmonic…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Godfrey Gumbs , Yonatan Abranyos , Upali Aparajita , Oleksiy Roslyak

Recently, Zacharias et al [Phys. Rev. Lett. 115, 177401 (2015)] developed a new ab initio theory of temperature-dependent optical absorption spectra and band gaps in semiconductors and insulators. In that work the zero-point renormalization…

Materials Science · Physics 2016-08-17 Marios Zacharias , Feliciano Giustino

We employ a quantum theory of the nonlinear optical response from an actual solid-state material possessing an intrinsic bulk contribution to the third-order nonlinear susceptibility (Kerr-type nonlinearity), which can be arbitrarily…

Mesoscale and Nanoscale Physics · Physics 2012-01-25 Sara Ferretti , Dario Gerace

Erratum: In our paper, we show that the spectral representation for isotropic two-component composites also applies to uniaxial polycrystals. We have learned that this result was, in fact, first conjectured by G.W. Milton. While our…

Condensed Matter · Physics 2015-08-24 S. Barabash , D. Stroud

Interferometers provide a highly sensitive means to investigate and exploit the coherence properties of light in metrology applications. However, interferometers come in various forms and exploit different properties of the optical states…

We theoretically demonstrate negative refraction and sub-wavelength resolution below the diffraction limit in the UV and extreme UV ranges using semiconductors. The metal-like re-sponse of typical semiconductors such as GaAs or GaP makes it…

We investigate the imaging properties of copper-based superlens surrounded by copper oxide (Cu$_2$O). A subwavelength image resolution of the order $\lambda/9$ is demonstrated theoretically and verified in numerical simulations. It is shown…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 David Ziemkiewicz , Karol Karpiński , Sylwia Zielińska - Raczyńska

We derive the exact beyond-linear fluctuation dissipation relation, connecting the response of a generic observable to the appropriate correlation functions, for Markov systems. The relation, which takes a similar form for systems governed…

Statistical Mechanics · Physics 2008-07-03 E. Lippiello , F. Corberi , A. Sarracino , M. Zannetti

The responsivity of perturbation sensing can be effectively enhanced by using higher-order exceptional points (HOEPs) due to their nonlinear response to frequency perturbations. However, experimental realization can be difficult due to the…

Optics · Physics 2024-12-02 Todd Darcie , J. Stewart Aitchison

We present the second-order expression for the observed redshift, accounting for all the relativistic effects from the light propagation and from the frame change at the observer and the source positions. We derive the generic…

General Relativity and Quantum Cosmology · Physics 2018-09-26 Giuseppe Fanizza , Jaiyul Yoo , Sang Gyu Biern

The interaction of optical fields sculpted on the nano-scale with matter may not be described by the dipole approximation since the fields vary appreciably across the molecular length scale. Rather than incrementally adding higher…

Quantum Physics · Physics 2015-10-28 Vladimir Y. Chernyak , Prasoon Saurabh , Shaul Mukamel

Second-order nonlinear optical response allows to detect different properties of the system associated with the inversion symmetry breaking. Here, we use a second harmonic generation effect to investigate the alignment of a…

Mesoscale and Nanoscale Physics · Physics 2020-07-03 E. A. Stepanov , S. V. Semin , C. R. Woods , M. Vandelli , A. V. Kimel , K. S. Novoselov , M. I. Katsnelson

We compute from first principles the infrared dispersion of the nonlinear susceptibility $\chi^{(2)}$ in zincblende semiconductors. At terahertz frequencies the nonlinear susceptibility depends not only on the purely electronic response…

Materials Science · Physics 2009-12-17 Eric Roman , Jonathan R. Yates , Marek Veithen , David Vanderbilt , Ivo Souza

The first-order eikonal approximation is frequently adopted in interpreting the results of $A(e,e'p)$ measurements. Glauber calculations, for example, typically adopt the first-order eikonal approximation. We present an extension of the…

Nuclear Theory · Physics 2008-11-26 B. Van Overmeire , J. Ryckebusch