Extending geometrical optics: A Lagrangian theory for vector waves

Feb 6, 2017 - Geometrical optics (GO) is a reduced model of wave dynamics [1, 2] that is widely used in many contexts rang- ing from quantum dynamics ...

0 downloads 0 Views 685KB Size

Recommend Documents

Mar 26, 2015 - particle traveling parallel to a constant magnetic field.) Then L can be integrated over ρ, so a Lagrangian lin- ear density is yielded that describes the one-dimensional motion along x. Due to Ω being constant and small, b oscillate

May 20, 2015 - Let (T,X,Y,Z,Pt,Px,Py,Pz) be a solution with no grav- itational wave. ..... interactive animations written in Python using the mat- plotlib library [35]. ... verse,” (2013). [14] F. B. Estabrook and H. D. Wahlquist, General Relativit

Jun 22, 2018 - M. Kline and I. W. Kay, Electromagnetic theory and geometrical optics (John Wiley and Sons, 1965). 10. M. Born and E. Wolf, Principles of ...

May 21, 2015 - Naturally, this is due to a multitude of relevant deformations admitted by the N = 1 supersymmetric Lagrangians. Theories with. N = 2 supersymmetric Lagrangians on the other hand, do not admit any N = 2 relevant ... supersymmetry is en

Feb 12, 2014 - gation of electromagnetic waves in the most complex media, ... media. The tools of transformation optics deal with a very limited set of materials, ...

Aug 16, 2006 - Assuming v > 0 (corresponding to the illuminated region), Eq. (17) leads to the following characteristic curves: dx : dy = (ux ±. √vvx):(uy ±.

Aug 16, 2006 - e-mail: [email protected] Giovanni ... e-mail: [email protected] Abstract ..... centricity: i.e., it is a quasi–conformal mapping [15]. Moreover, the ...

Aug 18, 2009 - paths making the functional ∫ n(x, y)√dx2 + dy2 stationary, are nicknamed rays. In other words ... ingredients needed for writing the geometrical approximation of the wave function; what it is still missing .... and correspond to t

Sep 19, 2006 - Verlagsges., Leipzig) 1959; p.187 ff. – Cf. further: ... p.77 and p.87; c) V. Fock [4], p.133 and ff. ... In Part IV of this article the Author discusses.

Sep 7, 2012 - 1Astronomy Centre, University of Sussex, Brighton BN1 9QH, United Kingdom. 2Astronomy Unit, School of Mathematical ... server of which we are a typical representative. This leads to the “measure problem,” ... of the cloud will be ro

an efficient classical description. We shall study an ac- tion of Gaussian maps on Gaussian states in details and .... A concise exposition of this technique can be found in the original paper by Soper [8]. Of course LR can be applied to a system wit

Sep 20, 2004 - 1Institute for Quantum Information, California Institute of Technology,. Pasadena ... puting technology. Since these ..... (Mab + Mba) θa ⊗ θb.

[2] P. H. S. Ribeiro, S. Pádua, J. C. Machado da Silva, and G. A. Barbosa, Phys. Rev. A 49, 4176 (1994). [3] B. E. A. Saleh, A. F. Abouraddy, A. V. Sergienko, and M. C. Teich, Phys. Rev. A 62, 043816 (2000). [4] A. F. Abouraddy, B. E. A. Saleh, A. V

Department of Mathematics, Statistics and Computer Science. University of Illinois at Chicago (M/C ... since much of the latter work can be. ∗[email protected]

on the ceiling with 300 cm height. Fig. 8. Initial experiment required for calculating parameters of the camera. VI. EXPERIMENTAL RESULTS AND DISCUSSION.

Feb 14, 2018 - reduction, the S3 partition function of the these Lagrangians matches exactly with that of the 3d mirror of the corresponding AD ..... We will go through the details of this computation explicitly in this section. ..... by Samsung Scie

Nov 21, 2012 - symbol fx denotes the derivative (gradient) with respect to the last argument, x. In addition to those, we also .... δθS = 0 yields that the four-divergence of the action flux density J µ . = −Lkµ is zero [114],. J µ ... an expl

Feb 21, 2014 - Optical tweezers have found widespread application in many fields, from physics to biology. Here, we explain in detail how optical ... advanced experimental techniques [8–11]. Part of the reason for the success of optical tweez .....

Jun 17, 2015 - understanding how the effective field theory (EFT) of large-scale structure can be formulated in the Lagrandian ... The Universe we observe contains structure on essentially all scales, which is believed to arise from a process of ....

May 24, 2016 - sociated to a pair of Lagrangian cobordisms which we call the Cthulhu complex (see. Section 6). ..... CIRGET and CRM in Montréal, the Centro De Giorgi in Pisa, and the institute. Mittag-Leffler in Stockholm. .... cobordism from the em

Jan 23, 2006 - where we have used parallel transport to define a coordinate system for TxM which allows us to identify V ... V (x) is parallel to γ and the geodesic equation implies that parallel vectors remain parallel under ...... University Press

Nov 20, 2012 - the body. It captures a remarkable mathematical analogy between mechanical momenta and linear velocities, and between forces and angular ... Keywords: rigid body, screw theory, rotation axis, central axis, twist, wrench. .... Were it w

Apr 6, 2012 - days) in advance, the particular danger of oceanic rogue waves is that they suddenly appear from ... nancial world it is necessary to couple cash to the value of other assets such as shares, bonds, options, .... Let us discuss the exper

Apr 1, 2008 - Vancouver BC Canada V6T 1Z2 .... some work in this direction in the 80's, and had managed to associate to a maximal monotone operator T, a.