France: PhD Scholarships in engineering

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Time and frequency have a privileged role in physics and applications
because they are the most precisely measured physical quantities. The
wrist watch, for example, is the only artifact accurate within 1E-5 –
1E-6 at a cost affordable to all consumers. Atomic clocks exhibit the
amazing accuracy of 1E-15, and a stability better by a factor 10.
Though the accuracy of 1E-15 relates only to fundamental physics and
metrology, short term stability is a major concern in
telecommunications, space applications and radars.

Traditionally, frequency stability is measured in the time domain and
described using wavelet variances known as the Allan variance
sigma_y^2(tau) and its modified versions. The variable tau is the
measurement time. The stability depends on the measurement time in the
same way of a balance, which is less “precise” when the mass to be
measured is very different from 1 kg.

The estimation of sigma_y^2(tau) and of its confidence
is well documented in the literature available in the past 20 years.
Conversely, the spectral analysis of oscillators is still an empirical
domain, in which results are usually given as a raw power spectral
density of the phase noise, i.e., Sphi(f) ou L (f). Analysis seldom
goes beyond the identification of the interference from the mains power
supply (50 or 60 Hz et harmonics) and the identification of two-three
fundamental types of noise. This approach is no longer suitable to the
needs of emerging technologies.

This is a new domain. Hence, the minimum target is reasonably low:
to adapt established spectral-analysis methods to the oscillator and to
identify the oscillator’s stochastic phenomena. Nonetheless, this is a
great opportunity for a smart student,
as he can innovate in the interpretation of the oscillator physics and
in the measurement methods and achieve outstanding experimental
results. A side branch is the improvement of the measurement accuracy,
which is currently of 2 dB in primary laboratories. The bulk of the
expected work is about the statistical analysis of phase noise spectra. Besides, the student will achieve a deep understanding of oscillators and of experimental techniques.

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University and laboratory
Ph.D. scholarship is managed by the University of Franche Comt’e,
Besançon, France. The work site is the Time and Frequency Dept. of the
FEMTO-ST Institute, affiliated to the University of Franche Comt’e,
Besançon. This department, merging the laboratory of chronometry (LCEP)
and the laboratory of physic and metrology of oscillators (LPMO),
issues from the Laboratoire de l’Horloge Atomique, funded by the Nobel
prize Alfred Kastler. The T&F Dept. is the world leader in the
domain of the measurement of the oscillator noise. Besides, this
department is the european leader in the domain of ultra-stable
oscillators and chip-scale atomic clocks.

Candidate profile
The best student for this subject is fond to computer programming and
calculus, and eager to learn sophisticated experimental methods of
electronics. He is motivated by the will of learning
and by the investment on his future life. In the longer term, he would
like to do applied research in academic institutions or industry, or
high-tech engineering, preferably in international environment.

Advisors
During his Ph.D., the student will be advised by E. Rubiola (2/3-3/4),
full professor, and by F. Vernotte (1/4-1/3), full professor and head
of the Observatory of Besançon.

Stipend
The student will receive a stipend from the French ministry of education for three years, as ruled by the French government. The candidate must fill two conditions
1. age 29 years max,
2. university degree “Master 2″ (5 year university degree) or equivalent, obtained in 2008. The equivalence is managed on site.
Candidates unaware of the French education system should know that:
tuition are very small or zero, and the stipend is generally sufficient
for a modest yet quite reasonable life standard.

Contact
e-mail: rubiola[ at ]femto-st.fr
home page http://rubiola.org

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