Wavelets Signal Processing on Medical Applications
               Heriot-Watt University
Department of Computing and Electrical Engineering
 
  
by 
  Roslee Abdul Jalil
  
PhotoAcoustic Spectroscopy Definition of Term:

    An optical technique for investigating solid and semisolid materials, in which the sample is
placed in a closed chamber filled with a gas and illuminated with monochromatic radiation of
any desired wavelength, and with intensity modulated at some acoustic frequency. Absorption of
radiation results in a periodic heat flow from the sample, which generates sound detectable with
a sensitive microphone.
  

In recent years photothermal (PT) methods emerged as a valuable tool for optical and thermal
characterization of a wide range of samples offering significant improvements (high sensitivity
and precision) above traditional methods. Essentially, it implies an interaction of the modulated
radiation with the absorbing sample that, in the absence of photochemistry or fluorescence, leads
to nonradiative de-excitation processes and hence to the temperature rise within the sample.

The photothermal methods are divided in two main groups. If, as a result of a temperature
increase, the pressure is detected, one uses the term photoacoustic (PA) or optoacoustic (OA)
spectroscopy. The fact that the refractive index n of most materials changes (dn/dT < 0) with
temperature T forms the basis of thermo-optical techniques (TO).

As it will be shown later both, PA and OT methods, proved very useful in variety of applications
especially when combined with strong radiation sources (lasers). Nowadays, this rapidly
growing field brings together physicists, engineers, chemists, biologists and medical,
environmental and agricultural scientists. Different materials (transparent, opaque or scattering)
can be measured and method is applicable to gases, liquids, solids, powders and gels.

The PA effect is discovered by Alexander Graham Bell in 1881 (Fig. 1). With the modulated
sunlight focussed into the vessel containing gaseous sample of interest. Bell has detected (the
intensity of the sound varied from sample to sample) audible signals at the same periodicity.

Fig. 1 A.G. Bell's experimental set-up used when discovering the PA effect in 1881. The sunlight
reflected by the plane mirror C, passes through the opning in rotating wheel B before being
collected and focussed by a parabolic surface into vessel A.

The excited gas molecules collide with its neighbouring molecules and return to a ground state
transfering some of its energy. A periodically varying heat source is generated causing an gas
expansions that can been detected as pressure wave. For a vessel filled with a gas with an
absorption coefficient s, the amplitude S of the generated acoustic signal was found proportional
to the product of intensity of the incoming radiation P, the concentration of the species c and the
cell constant R, i.e. :

S = R P s c

This observation brought Russian scientist Viengerov sixty years after Bell's discovery to the
idea to construct an instrument based on a PA effect for the measurement of weak absorbances.
As long as the concentration of the sample is moderate conventional methods provide
satisfactory results; for A<0.001 standard spectroscopic techniques do not provide reliable data
anymore. On the other hand, PT techniques are zero-methods (no absorption, no signal) i.e.
amount of absorbed energy is measured directly (benefits greatly from the availablity of strong
radiation sources). The experiments have shown that absorbances as low as 10-10 it could
readily be detected without any preconcentration or preparation of the sample, this indicates the
general potential of PT based methods for trace detection in general.

Some general considerations concerning modern PA spectroscopy

Any PA spectrometer comprises a radiation source, modulator, the cell to accomodate the
sample and a detector. In a modern PA spectrometer (Fig. 2) the sunlight is replaced by a
suitable laser; mechanical, electronic (or electro-optical) modulation schemes are used with
sensitive transducer microphone and lock-in detection. The objective of any PA cell design is to
enhance the amplitude of generated signal while efficient supressing the undesireable background
contribution.
 

Fig. 2 Overview of photoacoustic experiment [1] = nitrogen flow control, [2] = evaporator, [3] =
temperature controlled bath, [4] = photoacoustic cell, [5] = heater, [6] = exhaust with flow
meter, [7] = CO2 laser, [8] = spectrum analyzer, [9] = chopper, [10] = photoacoustic resonator
with microphone, [11] = pyroelectric detector

As far as the dimensions and a shape form of the cell are concerned, two main types exists.
Resonant cell are constructed to support one of its acoustic resonances. When modulated with a
frequency corresponding to that of acoustic resonance itself, the cell acts as an acoustic amplifier
with a high quality factor. The microphone is placed at the location that corresponds to the
maximum of pressure wave. Since the frequency of acoustic resonance depends on a density and
the composition of the gaseous mixture, the resonant cell is very susceptible to temperature
fluctuations. On the other hand non-resonant cell is much smaller than its resonant counterpart
with lower Q factor.

The Effects of Interference

Just as like in any other spectroscopic methods, absorption and generation of signals due to
interference affect the full analytical potential of the PA technique. In particular, when dealing
with the step-tunable sources (spectral coincidences between the source and the specimen are not
a priori guaranteed), the problem of interferences deserves additional attention.

An elegant way to suppress interference is to make use of Stark effect, a phenomenon induced in
polar gases when exposed to the external electric field. The interaction with the applied field
causes a shift of the molecular energy levels. Under such conditions in the sample only these
molecules that respond to both, the incoming radiation and to applied Stark field, can produce a
signal.

The PT heating can produce a refractive index gradient (RIG). This is due to the lower density of
the medium (sample or coupling fluid) caused by the local temperature rise, decays in time
following the diffusional decay of the temperature profile, and remains near the initial optically
excited region. The thermal RIG generated by the excitation laser affects the propagation of its
beam resulting in "self-defocussing" or "thermal blooming". Self-defocussing occurs because the
derivative of the refractive index with respect to the temperature is usually negative (dn/dT < 0);
this technique is called single beam Thermal Lensing. The dual beam thermal lensing
technique (one excitation laser (pump beam) and another (very) weak prope beam) provides a
significant enhancement of sensitivity (especially at loger wavelengths). Several pump/probe
beam configurations possible (parallel, collinear and perpendicular).

Thermal lens experiments can only be performed with laser sources having Gaussian intensity
profiles. Instead of monitoring the intensity changes at the beam axis one can also probe the
thermal lens at there where the temperature gradient is maximal. Probe beam sent along the
locations corresponding to maxima of the temperature gradient will be deflected. This method is
known as the photothermal deflection (PTD) and is the most sensitive among PT techniques. The
angle of deflection is directly proportional to dn/dT and dT/dr (also to the concentration of
absorbing species) of the sample and the interaction length between the two beams. The angle of
deflection is measured with a position sensitive diode (lateral or quadrant).
 

The operational principle of opto-thermal window technique (OW), actually a variant of
conventional PA spectroscopy is as follows: a modulated (laser) radiation passes through the
OW cell before impinging on the sample. The OW cell is actually an optically transparent disc
(having large thermal expansion coefficient) the rear side of which is provided with
piezoelectric transducer. Due to the absorption of radiation, sample's temperature rises and the
generated heat diffuses into the disc (being in a good thermal contact with the sample) that
expands the induced stress is detected by a lock-in amplifier.

In comparison to conventional PA spectroscopy, the OW method offers some attractive features.
At first, the requirement for accomodating the sample in the sealed cell is no longer an impetus.
In addition, the OW signal not only remains unaffected by thermal expansion of the sample but is
also less susceptible to the effect of other sample's thermal parameters. Finally, as long as it
exceeds sample's thermal diffusion length, the thickness of the sample is not relevant making OW
technique more practical for quantitative IR analysis of strongly absorbing fluids and semi fluids.

For an optically opaque and thermally thick (an ideal) sample, making a good thermal contact
with a thermally thick OW , the amplitude of the normalized, dimensionless optothermal signal is
related to the product of the absorption coefficient and the thermal diffusion length. This forms
the basis for obtaining the absorption spectrum of the sample under investigation, provided
optical and thermal properties of a reference sample at a given wavelength and modulation
frequency are known.

The PT methods outlined above are applicable to all three physical states of matter. So far PA
method (with strong IR laser) has been used to monitor low concentrations of several urban and
industrial pollutants, pesticides an many other gases. In majority of cases the high sensitivity
(below the ppbv level) has been reached. Measuring in this concentration range requires very
clean equipment. In our own experiments the PA method was shown capable of detecting very
low emission rates of volatiles released from the tubing material used to transport gases of
interest from the sampling site to PA cell. Metabolic processes in refrigerated meat specimens
were studied in order to establish the onset of spoilage. Production of gases from soil and the
microbiological acitivity rates were studied too. Likewise numerous attempts to determine the
fluxes of pollutants from the atmosphere to the vegetation were carried out. Finally, considerable
amount of work was performed to study the spectra of fatty acids to investigate psychophysical
response functions in humans. The research is now underway to develop new methodology and a
new instrument for determination of ultralow amounts of moisture in granulated and porous
samples such as flours, sand or powdered milk.

As far as the work in liquid phase is being concerned, the PTD method was used to improve
detection limit for orthophosphate and ammonium ion in water and soil water solutions. This is
achieved by means of colorimetric reactions (complexes that absorb strongly at the visible
wavelength); the absorption of a complex is then directly related to the absorbance of the original
compound.

Other methods related to PA and TO techniques were also developed throughout the past years;
their detailed description is beyond the scope of this update. The field is far from being
exhausted and plenty of novelties are expected to emerge in a near future.
 
  


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This page is maintain by Roslee Abdul Jalil
Heriot-Watt Univeristy
Department of Computing and Electrical Engineering