3,145 research outputs found
Exact Paraxial Quantization
A non-perturbative quantization of a paraxial electromagnetic field is
achieved via a generalized dispersion relation imposed on the longitudinal and
the transverse components of the photon wave vector. The theoretical formalism
yields a seamless transition between the paraxial- and the Maxwell-equation
solutions. This obviates the need to introduce either "ad hoc" or
perturbatively-defined field operators. In the limit of narrow beam-like
fields, the theory is in agreement with approximated quantization schemes
provided by other authors.Comment: 4 pages, no figure
Goos-Haenchen and Imbert-Fedorov shifts of a nondiffracting Bessel beam
Goos-Haenchen and Imbert-Fedorov shifts are diffractive corrections to
geometrical optics that have been extensively studied for a Gaussian beam that
is reflected or transmitted by a dielectric interface. Propagating in free
space before and after reflection or transmission, such a Gaussian beam spreads
due to diffraction. We address here the question how the Goos-Haenchen and
Imbert-Fedorov shifts behave for a ``nondiffracting'' Bessel beam.Comment: 3 pages, 1 figur
Chaotic ray dynamics in an optical cavity with a beam splitter
We investigate the ray dynamics in an optical cavity when a ray splitting
mechanism is present. The cavity is a conventional two-mirror stable resonator
and the ray splitting is achieved by inserting an optical beam splitter
perpendicular to the cavity axis. Using Hamiltonian optics, we show that such a
simple device presents a surprisingly rich chaotic ray dynamics.Comment: 6 pages, 4 figure
Orbital angular momentum induced beam shifts
We present experiments on Orbital Angular Momentum (OAM) induced beam shifts
in optical reflection. Specifically, we observe the spatial Goos-H\"anchen
shift in which the beam is displaced parallel to the plane of incidence and the
angular Imbert-Fedorov shift which is a transverse angular deviation from the
geometric optics prediction. Experimental results agree well with our
theoretical predictions. Both beam shifts increase with the OAM of the beam; we
have measured these for OAM indices up to 3. Moreover, the OAM couples these
two shifts. Our results are significant for optical metrology since optical
beams with OAM have been extensively used in both fundamental and applied
research.Comment: 7 pages, 7 figure
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