Pulse propagation in photonic materials
|
L. (Kobus) Kuipers - Scientific StaffHenkjan Gersen - Former member
|
This research project involves time-resolved Near-field Scanning Optical Microscopy (NSOM) experiments aimed at visualizing the amplitude and
phase of ultrashort optical pulses it en route while they propagate inside photonic crystal structures. So far, most investigations on these
novel and exciting materials have been of the "black box" type (fig 1):
|
 fig. 1 A: Black box model B: Looking inside the box
|
the light that goes into the material and
that which emerges are measured accurately. The results are then compared to theory. Here, we take a radically different approach: we will track
-both in time and in space- light pulses as they propagate through a photonic structure.
The subtle manipulation of optical interference effects is crucial in photonic crystals. As a result, small variations, intended or not, in the
geometry can result in large effects on the propagation of short pulses. At the same time the use of high peak-intensity femtosecond pulses
creates possibilities to exploit the optical nonlinearity of photonic materials leading to new approaches to all-optical manipulation of light.
It is therefore desirable to investigate the nanoscale local optical properties directly inside the structure. Understanding the dynamics of the
interaction of light with a photonic structure requires both amplitude and phase characterization. With critical dimensions below the wavelength
of light this can only be done by bringing a sharp tapered probe with subwavelength dimensions in close proximity to the sample. We use such a
scanning probe based technique to directly probe dynamical effects inside photonic structures on a subwavelength scale (fig. 2).
|
 fig. 2: Investigation of the local optical properties inside the structure using
time resolved NSOM
|
The combination of optical and topographical information elucidates the influence of the geometry on the light propagation. Conversely,
obtaining complete information about the propagating field permits characterizing the PhCs dielectric properties and structure.
The first direct visualization of femtosecond pulses as they propagate inside a channel waveguide is presented in the
first movie.[1].
The optical field just above the surface of a waveguide structure is mapped with
subwavelength resolution by a tapered optical fiber that probes the evanescent field. The topography of the sample is acquired simultaneously
with the optical information with a shear-force based feedback system. The incorporation of the NSOM and waveguide sample in one branch of a
Mach-Zehnder type interferometer allows the direct visualization of amplitude and phase. Heterodyne interferometric detection of the interference
signal is achieved by acousto-optical modulation of the reference beam. For the experiment nearly Fourier limited ultrashort pulses are used.
Furthermore, an optical delay line is included in the reference branch of the interferometer in order to tune the temporal overlap of the reference-
and signal pulse. As such the length of the reference branch defines a reference time. The resulting interference signal, which is detected,
contains the local amplitude and phase information of the pulse propagating through the waveguide. From the time-dependent and phase-sensitive
measurements both group and phase velocity are determined. Good agreement is found with theoretical values calculated using an effective index
method.
Experiments on a more complex device are presented in movie 2
[2]. Here we follow pulses as they propagate in an
microresonator, directly mapping the resonator modes in space and time. Beating patterns inside the resonator are observed that prove that multiple
modes inside the resonator are excited. Our time-dependent and phase-sensitive method gives direct access to the angular group and phase velocity of
the modes in the resonator. Exploiting the occurrence of phase-singularities we directly measure the coupling-constant between the coupling
waveguides and the resonator itself.
To enhance our understanding of the measurement technique pulse propagation in a channel waveguide is revisited in more detail. An analytical model
is developed which reveals how the observed signals can be interpreted [3]. The observed length of the
measured pulse envelope is
explained by comparison with this analytical model. The observed broadening of the FWHM of the measured pulse shape can be attributed to the group
velocity dispersion in the fibers which are unequal in length for the two branches of the interferometer (fig. 3).
|
 fig. 3: Calculated and measured optical amplitude in the waveguide structure
|
The model shows that by balancing the amount of dispersive media in the two branches it becomes possible to measure the
group velocity dispersion of the structure under study locally. Even if branches are not compensated a reference measurement makes it possible to
measure the local group velocity dispersion. As a result interesting effects, such as pulse compression, pulse spreading and pulse reshaping become
accessible in the measurement.
The results obtained in this project open doors for new developments, because now it has become experimentally possible to verify theoretical
predictions concerning the propagation of short pulses in complex (non)linear dispersive photonic structures. Our scanning probe based technique is
able to directly address the functional heart of the devices under study with high spatial and temporal resolution.
|
References
[1] Balistreri MLM, Gersen H, et al. SCIENCE vol 294 issue 5544: p1080-p1082 NOV 2 2001
[2] H. Gersen, et al. Optics Letters Vol. 29 nr. 11 p1291 - p1293 june 1 2004
[3] Gersen H., et al. Physical Review E vol 68: p026604 (10 pages) august 15 2003
|
Articles
The following articles have been published regarding this project:
Local probing of Bloch mode dispersion in a photonic crystal waveguide
(abstract) (full pdf)Rob J.P. Engelen, Tim J. Karle, Henkjan Gersen, Jeroen P. Korterik, Thomas F. Krauss, Laurens Kuipers and Niek F. van Hulst
Optics Express
Vol. 13, No. 12 p4457 - p4464 june 13 2005
Direct Observation of Bloch Harmonics and Negative Phase Velocity in Photonic Crystal Waveguides
(abstract) (full pdf)H. Gersen, T.J. Karle, R.J.P. Engelen, W. Bogaerts, J.P. Korterik, N.F. van Hulst, T.F. Krauss and L. Kuipers
Physical Review Letters
vol 94 p123901 april 01 2005
Real-Space Observation of Ultraslow Light in Photonic Crystal Waveguides
(abstract) (full pdf)H. Gersen, T. J. Karle, R. J. P. Engelen, W. Bogaerts, J. P. Korterik, N. F. van Hulst, T. F. Krauss, and L. Kuipers
Physical Review Letters
vol 94 p073903 feb 25 2005
Propagation of a femtosecond pulse in a microresonator visualized in time
(abstract) (full pdf)H. Gersen, D. J. W. Klunder, J. P. Korterik, A. Driessen, N. F. van Hulst, and L. Kuipers
Optics Letters
Vol. 29 nr. 11 p1291 - p1293 june 1 2004
Tracking ultrashort pulses through dispersive media: Experiment and theory
(abstract) (full pdf)Gersen H., Korterik J.P., van Hulst N.F., Kuipers L.
Physical Review E
vol 68: p026604 (10 pages) august 15 2003
Tracking femtosecond laser pulses in space and time
(abstract) Balistreri MLM, Gersen H, Korterik JP, Kuipers L, van Hulst NF
SCIENCE
vol 294 issue 5544: p1080-p1082 NOV 2 2001