Optical Coherence
Topography with Tunable Cavity Surface Emitting Laser
Tu Xiang Zheng
Optical coherence tomography (OCT) is a non-invasive imaging
test that uses light waves to take cross-section pictures of your retina, the
light-sensitive tissue lining the back of the eye. With OCT, each of the
retina’s distinctive layers can be seen, allowing your ophthalmologist to map
and measure their thickness. These measurements help with diagnosis and provide
treatment guidance for glaucoma and retinal diseases, such as age-related
macular degeneration and diabetic eye disease. OCT can also be used for
intravascular imaging of plaque to assess heart disease, cancer biopsy imaging,
developmental biology research, art preservation, and industrial inspection.
As shown in the above figure, a called swept-source OCT uses
a wavelength-swept laser light source, that is, one whose emission sweeps back
and forth across a range of wavelengths. A detector and a high speed
analog-to-digital (A/D) converter complete the imaging system. The OCT has
several fundamental advantages including ultrahigh imaging speeds, deep tissue
penetration, Doppler OCT flow analysis, and long imaging range. With such a compact,
high-performance, low-cost swept source for OCT it is possible to achieve a
combination of ultrahigh sweep speeds, wide spectral tuning range,
adjustability in sweep trajectory, and extremely long coherence length.
Wavelength tuning of the micromachined cavity is
accomplished by applying a voltage between the top membrane and bottom membrane,
across the air gap. A reverse bias voltage is used to provide the electrostatic
force, which attracts the top membrane downward to the bottom membrane and
shortens the air gap, thus tuning the laser wavelength toward a shorter
wavelength (blue shift). It has been shown that the cavity using electrostatic
force follows a 1/3 gap size rule. As the voltage is applied, the top membrane
is attracted downwards with a displacement approximately equaling to 1/3 gap
size. As increases further, the attractive force cannot be balanced by the
mechanical spring force, and the membrane collapse onto the bottom membrane.
Increasing voltage further at this point results either no movement or
capacitor discharge. The top membrane can be brought back to its original
position when the voltage is removed if an appropriate mechanical design is
used.
The incident light to the micromachined cavity is
emitted by a vertical cavity surface emitting laser. The micromachined cavity transmits
a narrow band of wavelengths and rejects wavelengths outside of that band. The
cavity will resonate when the following condition is met:
nd cosθ = mλ/2 (1)
where θ is the incident light angle normal to the
mirror, λ is wavelength, d is the micromachined cavity length, n is the
refractive index of the medium, and m is the fringe order number. For normal
incident light, with air as the medium (n = 1), the resonating micromachined cavity
equals multiples of a half wavelength.
By driving the micromachined cavity with specially shaped
voltage, the wavelength can be swept in time as required for swept source OCT.
In classical physics, where the speeds of the top membrane of the micromachined
cavity relative to the bottom membrane are lower than the velocity of laser light,
the relationship between observed micromachined cavity transmitted light frequency f
and the incident light frequency f0 is expressed as
f = [(c+υr)/(c + υs)] *f0 (2)
Where c is the velocity of light, υr is the
velocity of the top membrane relative to bottom membrane or air and υs
is the velocity of the incident light relative to air. It can be seem that the transmitted
light frequency or wavelength is decreased if two membranes of the cavity is
moving away from the other.
It has been reported that the micromachined cavity can be
move very fast, allowing the micron-scale cavity length to be tuned rapidly. It
has demonstrated a fundamental repetition rate of 600 kHz, which for OCT purposes
allows its individual scans to be acquired at rates as high as 1.2 MHz through
the use of both forwards and backwards sweeps.
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