Tuning the fields focused by a high NA lens
using spirally polarized beams
(Invited Paper)
F. Wackenhut
1
, B. Zobiak
2
, A. J. Meixner
1
, and A. V. Failla
1,2,
*
1
Eberhard Karls University Tübingen, Institute of Physical and Theoretical Chemistry, Tübingen 72076, Germany
2
University Medical Center Hamburg-Eppendorf, UKE Microscopy Imaging Facility, Hamburg 20246, Germany
*Corresponding author: a.failla@uke.de
Received January 18, 2017; accepted February 10, 2017; posted online March 6, 2017
We show the power of spirally polarized doughnut beams as a tool for tuning the field distribution in the focus of
a high numerical aperture (NA) lens. Different and relevant states of polarization as well as field distributions
can be created by the simple turning of a λ∕2 retardation wave plate placed in the excitation path of a micro-
scope. The realization of such a versatile excitation source can provide an essential tool for nanotechnology
investigations and biomedical experiments.
OCIS codes: 180.1790, 170.6900, 260.5430, 250.5603.
doi: 10.3788/COL201715.030013.
In the last two decades, enormous progress has been
achieved in the fields of light microscopy, nanoscopy, and,
in more general terms, nanotechnology. Super-resolution,
far-, and near-field microscopy made the visualization
of nano-objects possible with an optical resolution of
about 10 nm. These revolutionary improvements allowed
researchers to make important steps forward in many
fields, e.g., nanotechnology and biology, see Refs. [
1,2]. In
parallel, the exploitation of anisotropic polarized excita-
tion sources like radially/azimuthally polarized doughnut
beams (R/APDBs) have been essential, e.g., for increasing
the excitation and detection efficiency in near-field tip-en-
hanced microscopy
[3,4]
, revealing the orientation, shape,
and structure of strongly polarized nanostructures
[5–8]
,or
increasing the ability to disclose the organization of colla-
gen domains in animal and human skin
[9]
. These and other
prominent studies have relied on sophisticated and ingen-
iously made light sources integrated into self-build micro-
scopes. In many cases, a single and unique device was
designed for only one special application. In the present
days, however, the standardization and integration in
easily accessible and flexible setups of highly sophisticated
imaging approaches is a necessary prerequisite for further
scientific progress. Especially for the development of bio-
oriented nanotechnologies, microscopes are required to be
provided with multiple and tuneable light source s. In this
Letter, we show how a source of variable spirally polarized
doughnut beams (SPDBs) can fulfill these requirements.
SPDBs form a family of anisotropically polarized fields,
i.e., the polarization varies point by point, but is linear
at any individual point. Relevantly, RPDBs/APDBs
are special cases of SPDBs
[10,11]
. A practical way to realize
SPDBs is presented in Fig.
1. It makes use of two mode
converters (MCs). First, an RPDB is realized using a
liquid crystal MC (LQMC) according to the procedure de-
scribed in Ref. [
12]. Second, the polarization of the RPDB
is uniformly rotated by angle β using a series of two λ ∕2
retardation wave plates, where one is fixed while the other
is free to rotate
[13]
. Please note that the rotation of the sec-
ond λ∕2 retardation wave plate (labeled as WP2 in Fig.
1)
permits to change β.
Since the RPDBs and APDBs are an orthogonal set of
beams, they can be used to describe the field E
SPDB
of a
generic SPDB in the following way:
E
SPDB
¼ E
APDB
sin γ þ E
RPDB
cos γ; (1)
where γ ¼ 2β (with respect to Fig.
1) is a fixed rotation
angle, and E
ðRPDB∕APDBÞ
is the field distribution of an
Fig. 1. Passing through two MCs, a linearly polarized Gaussian
beam is turned into an SPDB. MC1 is used to produce an RPDB.
MC1 is composed of an LQMC and a spatial filter produced by
two confocal lenses (L
1∕2
) with a properly sized pinhole (PH) in
between. MC2 turns an RPDB into an SPDB by employing two
λ∕2 retardation wave plates (WP
1∕2
), one fixed and the other
variable in order to change the angle β.
COL 15(3), 030013(2017) CHINESE OPTICS LETTERS March 10, 2017
1671-7694/2017/030013(4) 030013-1 © 2017 Chinese Optics Letters