82 research outputs found
Huygens description of resonance phenomena in subwavelength hole arrays
We develop a point-scattering approach to the plane-wave optical transmission
of subwavelength metal hole arrays. We present a real space description instead
of the more conventional reciprocal space description; this naturally produces
interfering resonant features in the transmission spectra and makes explicit
the tensorial properties of the transmission matrix. We give transmission
spectra simulations for both square and hexagonal arrays; these can be
evaluated at arbitrary angles and polarizations.Comment: 5 pages, 3 figure
Constructing Fresnel reflection coefficients by ruler and compass
A simple and intuitive geometical method to analyze Fresnel formulas is
presented. It applies to transparent media and is valid for perpendicular and
parallel polarizations. The approach gives a graphical characterization
particularly simple of the critical and Brewster angles. It also provides an
interpretation of the relation between the reflection coefficients for both
basic polarizations as a symmetry in the plane
Fresnel coefficients as hyperbolic rotations
We describe the action of a plane interface between two semi-infinite media
in terms of a transfer matrix. We find a remarkably simple factorization of
this matrix, which enables us to express the Fresnel coefficients as a
hyperbolic rotation.Comment: 6 pages, 3 figure
Cosmological Applications of a Geometrical Interpretation of "c"
International audienc
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