Detection of Optoacoustic Transients with a Rectangular
Transducer of Finite Dimension
Valeriy G. Andreev1, Alexander A. Karabutov1, Anatoliy E. Ponomaryov1,
Alexander A. Oraevsky*2
1M.V.Lomonosov Moscow State University, Moscow 119899, RUSSIA,
2University of Texas Medical Branch at Galveston, Texas, 77555 USA
ABSTRACT
Laser optoacoustic tomography system (LOIS) for breast cancer detection and diagnostics utilizes optical generation
of acoustic pressure profiles in tumors and piezoelectric detection of these pressure transients within an ultra-
wideband of ultrasonic frequencies. Temporal profile of optoacoustic pulses provides information on tumor
dimensions and its location inside the breast. A finite spatial dimension of receiving transducers results in distortions
of the optoacoustic profile and corresponding reduction of the resolution in LOIS. The impulse response approach
for calculation of the pulse profiles originated from a uniformly absorbing sphere and detected with a rectangular
transducer was employed. The pressure profiles were expressed as convolution integrals of velocity-potential
distribution over the transducer surface with the corresponding impulse response function. The impulse response
function was evaluated for different locations of optoacoustic sources with respect to the receiving transducer.
Numerical simulations were performed for acoustic transducers with dimensions of lxi 0 mm and located on the
cylindrical surface with radius of 60-mm. Results demonstrated that detected N-shaped pressure profiles become
smoother and their duration increases with increased linear dimensions of the transducer. This effect depends on
relative position of the spherical acoustic source and the detector.
Keywords: optoacoustic transients, spatial impulse response, ultrason ic detector
1. INTRODUCTION
The waveform distortion effect related to the finite aperture of ultrasonic transducer is of great importance in
pulse-echo measurements [1-2]. In particular, the knowledge of the transient sensitivity of transducer allows
to correct the temporal profile of a detected ultrasonic transient and reduce corresponding errors in the medical
ultrasonic image. Undistorted detection of laser-induced acoustic pulses in optoacoustic imaging system is of
principal importance because temporal pressure waveform provides information on the tumor size and its
location [3-4]. A PVDF wide-band transducers employed in LOIS demonstrated feasibility of the small (5-
1 0)-mm tumors detection [4]. However it was noticed that the accuracy of the 2-mm tumor detection or smaller
ones is reduced. One of the possible reason of this inaccuracy can be distortion of a pressure pulse waveform
resulted from finite aperture of transducer. Unfortunately the dimensions of the transducer could not be
reduced significantly because it leads to corresponding capacity reduction and electric noise growth [5]. The
performance of LOIS will be improved when distortion effects related to finite transducer aperture will be
taken into account. We focused our study on the transducer with rectangular shape since most of transducer
elements employed in optoacoustic imaging represent this geometry.
Radiation of transient pressure fields from planar transducers of various shapes has been widely investigated.
Excellent review of theoretical approaches and mathematical methods was presented by Harris [6]. We
employed impulse response approach proposed by Stepanishen [7-8]. Originally the author employed the
impulse response method for the evaluation of radiation from piston in a rigid infinite baffle. The approach is
based on Green's function solution to the time dependent boundary problem. It utilizes a transformation of
coordinate to simplify the calculation of resultant surface integral. The approach can be applied for the
calculation of pressure profile both in the near- and farfield of the radiator. According to reciprocity principle
the same method can be employed for evaluation of the pressure waveform, which is detected by planar
transducer of finite dimensions.
*
<aaraevs@utmb.edu>
Biomedical Optoacoustics III, Alexander A. Oraevsky, Editor,
Proceedings of SPIE Vol. 4618 (2002) © 2002 SPIE · 1605-7422/02/$15.00 153
Downloaded from SPIE Digital Library on 08 Aug 2011 to 69.15.164.234. Terms of Use: http://spiedl.org/terms