Transcript Kathrin
Two-Color-Interferometer
and Coherent Focusing
FRED project course, LTH
Kathrin Klünder
Motivation: HHG in a Two-Color-Field
red
only
• High-order harmonic generation
(HHG) by focusing an intense laser
field (800nm) into an atomic gas
• Properties of the harmonics
determined by fundamental driving
field
• Adding a second field to the
generation process by frequency
doubling a fraction of the
fundamental laser frequency =>
now wavelengths of 800nm and
400nm
• Ability of changing properties of
harmonics and pulse train itself
• Standard procedure in our lab
red
and
blue
Experiment
Theory
Setup: HHG in a Two-Color-Field
Ti:Sapphire,
800nm, 35fs, 4mJ
focusing
mirror
doubling
crystal
interferometer
delay
plate
Brewster window
(55.47˚ for 800nm)
probe beam
•Changing the relative phase by rotation of delay plate
HHG
generation
(gas inlet)
The FRED project
Procedure for aligning interferometer:
• two beams overlap spatially and in time directly after passing
interferometer
• No further check after propagation though rest of the setup
=>
Works fine, BUT what are the possible problems or what
should one keep in mind?
Use FRED to model influence of delay plate and investigate
standard procedure when aligning/working with the Two-ColorInterferometer.
Our setup in FRED…
Defining the Light Source
desired properties:
• coherent
• polarized
• pulsed (35fs)
=> in FRED not
possible
• define spectral
bandwidth of
≈ 30nm
Properties of the Delay Plate
new materials can added from a
huge range of cataloged materials
Using FRED Scripting
built-in functions to get ray
informations and control optical
components:
create variables
ray-tracing and drawing the rays
define and open output file #1
access delay plate coordinates
get infos about ray j for angle i
if rays ended up on right detector:
print infos in #1
close output file #1
Performance of Interferometer
thickness of delay plate
510µm
340µm
170µm
analysis
surface
delay of red arm as a
function of angle
delay plate
red arm
blue arm
Interferometer works fine.
Influence of Brewster Window
focusing mirror
(f=75cm)
vacuum
Brewster
window (1mm)
blue arm
delay of red arm as a
function of angle
red arm
• Brewster window introduces dispersion for both colors
– relative delay of the two arms changes
– temporal spread of the two pulses; bigger influence on blue
pulse (approx. 10fs for spectral bandwidth)
Influence of Brewster Window
beam in focal plane:
no Brewster window:
with Brewster window:
offset
6µm
foci positions red and blue beams:
– 3µm offset in direction of beam propagation
– 6µm offset in Y-direction
Some Words about the Focusing
spherical
focusing mirror
x
decrease distance x:
before focus
in focus
some other bad
example…
• focus size and astigmatism depends on incoming angle
• for better focusing conditions spatial offset gets more
important
• perturbation of wave fronts due to focusing mirror
In the End
FRED is...
– easy to get started with
– convenient to model small questions
– good to get an idea what happens in the setup