ECE 476/576 Summer
1999: Final Exam
Answer all questions in the spaces provided. To obtain
partial credit, all steps must be shown clearly. Students must turn in the formula sheet brought in, with their
names written on these sheets.
Key: Dr. Dharamsi______________________________________________
SSN: _____________________________________________
Pledge of Honor: _____________________________________________
The signature required
on this line signifies that the student abides by the University's Honor
Pledge.
Q 1
Q1 (a)
Describe the process of Q-switching a laser
Q 1(b) Describe the process of mode-locking a
laser
1(c) A solid state laser consists of a host
lattice, doped with a lasant, which operates at a transition corresponding to a
photon energy of 2 eV. The rod is 5 cm long, having a cross sectional area of 1
cm2, and is placed in a cavity in which the mirror separation is 10
cm. The mirror reflectivities are 0.98 and 0.70, and may be assumed to be
lossless (i.e. do not have any absorption). The ground state density of the
dopant is 2.5 x 10 19 cm3. The stimulated emission cross
section for the laser transition is 10-19 cm2. The gain
medium is optically pumped by another laser in a manner that results in an
initial population inversion density of 1019 cm3. This laser is Q switched by an ideal
Q-switch. Calculate the peak power and pulse width of laser pulse
2 (a) Describe
the process of Raman Scattering, including the difference between Stokes
an AntiStokes scattering.
(b) Discuss
the process of Coherent AntiStokes Raman Scattering, including an
appropriate energy level diagram as well as a block diagram of the experimental
apparatus. Give examples of applications of the CARS technique.
Q3. An
optical amplifier has a length of 10 cm, a crossectional area of 1 cm2,
operates on a homogeneously broadened, two-level transition, centered at 600
nm, and having a linewidth of 109 Hz. The upper state has a spontaneous emission lifetime of 10
ns. There exists an additional
radiationless relaxation mechanism whose rate constant is108 sec-1.
The pumping mechanism has established a population inversion that leads to a
small signal gain of 0.2 cm-1.
3(a) Calculate
the output intensity in watts/cm2 when the input
intensity is (Isat).
3(b) What
is the maximum power in watts that can be extracted from this
amplifier?
Q 4(a) Discuss homogeneous
and inhomogeneous broadening, giving at least one example of each.
4(b) Discuss
Doppler Broadening and Collision Broadening.
4(c) What
are the major differences between a laser that operates on a homogeneously
broadened transition and one that operates on an inhomogeneous transition? Explain.