621 research outputs found
Goos-Haenchen and Imbert-Fedorov shifts for bounded wave packets of light
We present precise expressions of the spatial and angular Goos-Haenchen and
Imbert-Fedorov shifts experienced by a longitudinally and transversally limited
beam of light (wave packet) upon reflection from a dielectric interface, as
opposed to the well-known case of a monochromatic beam which is bounded in
transverse directions but infinitely extended along the direction of
propagation. This is done under the assumption that the detector time is longer
than the temporal length of the wave packet (wave packet regime). Our results
will be applied to the case of a Gaussian wave packet and show that, at the
leading order in the Taylor expansion of reflected-field amplitudes, the
results are the same of the monochromatic case
Radially and azimuthally polarized non paraxial Bessel beams made simple
We present a method for the realization of radially and azimuthally polarized
nonparaxial Bessel beams in a rigorous but simple manner. This result is
achieved by using the concept of Hertz vector potential to generate exact
vector solutions of Maxwell's equations from scalar Bessel beams. The scalar
part of the Hertz potential is built by analogy with the paraxial case as a
linear combination of Bessel beams carrying a unit of orbital angular momentum.
In this way we are able to obtain spatial and polarization patterns analogous
to the ones exhibited by the standard cylindrically polarized paraxial beams.
Applications of these beams are discussed.Comment: 8 Pages, 4 Figure
Identical classical particles: half fermions and half bosons
We study the problem of particle indistinguishability for the three cases
known in nature: identical classical particles, identical bosons and identical
fermions. By exploiting the fact that different types of particles are
associated with Hilbert space vectors with different symmetries, we establish
some relations between the expectation value of several different operators, as
the particle number one and the interparticle correlation one, evaluated for
states of a pair of identical (a) classical particles, (b) bosons and (c)
fermions. We find that the quantum behavior of a pair of identical classical
particles has exactly half fermionic and half bosonic characteristics.Comment: 5 pages, 1 figur
Generalized Bessel beams with two indices
We report on a new class of exact solutions of the scalar Helmholtz equation
obtained by carefully engineering the form of the angular spectrum of a Bessel
beam. We consider in particular the case in which the angular spectrum of such
generalized beams has, in the paraxial zone, the same radial structure as
Laguerre-Gaussian beams. We investigate the form of these new beams as well as
their peculiar propagation properties
Classical optics representation of the quantum mechanical translation operator via ABCD matrices
The ABCD matrix formalism describing paraxial propagation of optical beams
across linear systems is generalized to arbitrary beam trajectories. As a
by-product of this study, a one-to-one correspondence between the extended ABCD
matrix formalism presented here and the quantum mechanical translation operator
is established
Near field of an oscillating electric dipole and cross-polarization of a collimated beam of light: two sides of the same coin
We address the question of whether there exists a hidden relationship between
the near-field distribution generated by an oscillating electric dipole and the
so-called cross polarization of a collimated beam of light. We find that the
answer is affirmative by showing that the complex field distributions occurring
in both cases have a common physical origin: the requirement that the
electromagnetic fields must be transverse
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