Symmetry constraints for vector scattering and transfer matrices containing evanescent components: Energy conservation, reciprocity, and time reversal

@article{Byrnes2020SymmetryCF,
  title={Symmetry constraints for vector scattering and transfer matrices containing evanescent components: Energy conservation, reciprocity, and time reversal},
  author={Niall Byrnes and Matthew R. Foreman},
  journal={arXiv: Optics},
  year={2020}
}
In this work we study the scattering and transfer matrices for electric fields defined with respect to an angular spectrum of plane waves. For these matrices, we derive the constraints that are enforced by conservation of energy, reciprocity and time reversal symmetry. Notably, we examine the general case of vector fields in three dimensions and allow for evanescent field components. Moreover, we consider fields described by both continuous and discrete angular spectra, the latter being more… Expand

Figures from this paper

Multiple Scattering Enhanced Single Particle Sensing
Methods to increase the light scattered from small particles can help improve the sensitivity of many sensing techniques. Here, we investigate the role multiple scattering plays in perturbing theExpand
Role of multiple scattering in single particle perturbations in absorbing random media
Speckle patterns produced by disordered scattering systems exhibit a sensitivity to addition of individual particles which can be used for sensing applications. Using a coupled dipole model weExpand
Theory of Multiple Scattering Enhanced Single Particle Plasmonic Sensing
Methods to increase the light scattered from small particles can help improve the sensitivity of many sensing techniques. Here, we investigate the role multiple scattering plays in perturbing theExpand

References

SHOWING 1-10 OF 85 REFERENCES
Scattering and diffraction in physical optics
This book presents a comprehensive tutorial on propagation, diffraction and scattering problems from the basic principles of physical optics. Beginning with the fundamental differential and integralExpand
Optical theorem for electromagnetic field scattering by dielectric structures and energy emission from the evanescent wave.
TLDR
An optical theorem for evanescent (near field) electromagnetic wave scattering by a dielectric structure is presented based on the formalism of angular spectrum wave amplitudes and block scattering matrix and shows that an energy flux is emitted in the direction of the evanescence wave decay upon scattering. Expand
Vector transmission matrix for the polarization behavior of light propagation in highly scattering media.
TLDR
This paper presents the vector transmission matrix (VTM), a matrix which, unlike the TM, captures both the intensity and polarization transmission property of the scattering medium. Expand
Reciprocity in optics
The application of reciprocity principles in optics has a long history that goes back to Stokes, Lorentz, Helmholtz and others. Moreover, optical applications need to be seen in the context ofExpand
Scattering Approach to Anderson Localization.
  • A. Ossipov
  • Physics, Medicine
  • Physical review letters
  • 2018
TLDR
Analyzing the solution for a cubic sample with M=L in the limit L→∞, it is found that for d<2 the solution tends to the localized fixed point, while for d>2 to the metallicFixed point, and provide explicit results for the density of the delay times in these two limits. Expand
Waves, modes, communications, and optics: a tutorial
  • D. Miller
  • Physics
  • Advances in Optics and Photonics
  • 2019
Modes generally provide an economical description of waves, reducing complicated wave functions to finite numbers of mode amplitudes, as in propagating fiber modes and ideal laser beams. But findingExpand
Complete spatiotemporal characterization and optical transfer matrix inversion of a 420 mode fiber.
TLDR
This work has measured the optical transfer function of a multimode fiber in its entirety, and demonstrates the ability to generate any spatial/polarization state at the output of the fiber at any wavelength, as well as predict the temporal response of any spatial-polarized input state. Expand
Transmission eigenchannels in a disordered medium
While the distribution of the transmission eigenvalues of a disordered medium is well understood in the context of random-matrix theory, the properties of eigenchannels have remained unexplored. InExpand
Multiple scattering of waves in random media: a transfer matrix approach
  • C. Barnes, J. Pendry
  • Mathematics
  • Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences
  • 1991
Transfer matrices address multiple scattering of waves in dense media, by relating properties of a thick slice of medium to the corresponding properties of a slice thin enough for multiple scatteringExpand
Light fields in complex media: Mesoscopic scattering meets wave control
Wave front shaping, the ability to manipulate light fields both spatially and temporally, in complex media is an emerging field with many applications. This review summarizes how insights fromExpand
...
1
2
3
4
5
...