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Proceedings of Topical Meeting on Optoinformatics (pdf-format, 1.21 ...

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SAINT-PETERSBURG, October 17 – 20, 2005 63<br />

THE ANALYSIS OF RESOLUTION CAPABILITY OF THE OPTICAL<br />

COHERENT TOMOGRAPH<br />

K.L. Khohlov, V.K. Sokolov<br />

Baltic State Technical University,<br />

1 st Krasnoarmeyskaya str.1, 198005, St.Petersburg, Russia<br />

E-mail: xkl1478@mail.ru<br />

In the report questi<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> resoluti<strong>on</strong> enhancement <str<strong>on</strong>g>of</str<strong>on</strong>g> a coherent laser optical<br />

tomograph <str<strong>on</strong>g>of</str<strong>on</strong>g> high-resoluti<strong>on</strong> capability in short-range infrared a band are c<strong>on</strong>sidered. The<br />

tomograph focused <strong>on</strong> use for early diagnostics <str<strong>on</strong>g>of</str<strong>on</strong>g> pathological modificati<strong>on</strong> in a thyroid<br />

gland <str<strong>on</strong>g>of</str<strong>on</strong>g> the human. Traditi<strong>on</strong>al methods <str<strong>on</strong>g>of</str<strong>on</strong>g> ultras<strong>on</strong>ic do not provide in this case, the<br />

required resoluti<strong>on</strong> in tens micr<strong>on</strong>, and X-ray methods cannot be used because <str<strong>on</strong>g>of</str<strong>on</strong>g> their<br />

harm for the patient.<br />

The carried out analysis <str<strong>on</strong>g>of</str<strong>on</strong>g> methods <str<strong>on</strong>g>of</str<strong>on</strong>g> an optical tomography has shown, that to the<br />

most suitable for the soluti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> a task in view, the method optical coherent tomography<br />

with use optical heterodyne. The method allows to detect the ballistic phot<strong>on</strong>s forming the<br />

shadow image <str<strong>on</strong>g>of</str<strong>on</strong>g> a stratum <str<strong>on</strong>g>of</str<strong>on</strong>g> tissue, similar to the X-ray image. At use short-range<br />

infrared areas (700-1300 nanometers), relevant to a spectral window <str<strong>on</strong>g>of</str<strong>on</strong>g> the s<str<strong>on</strong>g>of</str<strong>on</strong>g>t tissue <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

the human, depth <str<strong>on</strong>g>of</str<strong>on</strong>g> penetrati<strong>on</strong> can achieve 10-12 cm. Magnificati<strong>on</strong>s <str<strong>on</strong>g>of</str<strong>on</strong>g> the resoluti<strong>on</strong><br />

can be achieved in two stages:<br />

1. The diameter <str<strong>on</strong>g>of</str<strong>on</strong>g> fibers in sourcing and detecting arrays can be reduced. It allows to<br />

reduce scanning aperture. The accessible type <str<strong>on</strong>g>of</str<strong>on</strong>g> fibers and length <str<strong>on</strong>g>of</str<strong>on</strong>g> waves restrict<br />

resoluti<strong>on</strong> capability.<br />

2. Realizati<strong>on</strong> posterior processing <str<strong>on</strong>g>of</str<strong>on</strong>g> the received images, implemented electr<strong>on</strong>ic or<br />

optoelectr<strong>on</strong>ic processor working in actual time. We use the optical processor which<br />

represents the televisi<strong>on</strong> system covered with an optical back coupling and implementing<br />

algorithm inverse filtering.<br />

At the given stage <str<strong>on</strong>g>of</str<strong>on</strong>g> our work we analyzes with help <str<strong>on</strong>g>of</str<strong>on</strong>g> mathematical models the<br />

opportunities <str<strong>on</strong>g>of</str<strong>on</strong>g> the first method. The inverse filtrati<strong>on</strong> means gathering some additi<strong>on</strong>al<br />

in<strong>format</strong>i<strong>on</strong> <strong>on</strong> a transfer functi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> imaging system and about properties <str<strong>on</strong>g>of</str<strong>on</strong>g> the object <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

observati<strong>on</strong>.<br />

The dependences <str<strong>on</strong>g>of</str<strong>on</strong>g> the resoluti<strong>on</strong> <strong>on</strong> a standing <str<strong>on</strong>g>of</str<strong>on</strong>g> an objective plane c<strong>on</strong>cerning a<br />

plane <str<strong>on</strong>g>of</str<strong>on</strong>g> the image and source, dependence <str<strong>on</strong>g>of</str<strong>on</strong>g> the resoluti<strong>on</strong> <strong>on</strong> character <str<strong>on</strong>g>of</str<strong>on</strong>g> allocati<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

complex amplitudes under the aperture <str<strong>on</strong>g>of</str<strong>on</strong>g> a fibril are analysed. The model allows to take<br />

into account influence <str<strong>on</strong>g>of</str<strong>on</strong>g> the size <str<strong>on</strong>g>of</str<strong>on</strong>g> the aperture <str<strong>on</strong>g>of</str<strong>on</strong>g> an emitter, the receiver <strong>on</strong> the<br />

resoluti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> a tomograph. The criteri<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> the resoluti<strong>on</strong> is diameter <str<strong>on</strong>g>of</str<strong>on</strong>g> a spot <str<strong>on</strong>g>of</str<strong>on</strong>g> the image<br />

is formed in a image plane. The boundary <str<strong>on</strong>g>of</str<strong>on</strong>g> a spot is defined or <strong>on</strong> the first minimum in<br />

the diffracti<strong>on</strong> pattern, or <strong>on</strong> a level exp 1 − .<br />

Further we plan measuring coefficients <str<strong>on</strong>g>of</str<strong>on</strong>g> absorpti<strong>on</strong> and dispersi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> medium <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

observati<strong>on</strong> and improvement <str<strong>on</strong>g>of</str<strong>on</strong>g> a model, terminating c<strong>on</strong>necti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> a transfer functi<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g><br />

figuring system and definiti<strong>on</strong> <str<strong>on</strong>g>of</str<strong>on</strong>g> methods <str<strong>on</strong>g>of</str<strong>on</strong>g> its compensati<strong>on</strong>.<br />

1. Edited by Steve Webb. “The Physics <str<strong>on</strong>g>of</str<strong>on</strong>g> Medical Imaging”. M.:”Mir”, 1991 - 408с.<br />

2. F. Stuart Foster, Charles J. Pavlin “Advances in ultrasound biomicroscopy”:<br />

Ultrasound in Med. and Biol., vol. 26, No. 1, pp. 1-27, 2000.<br />

3. V.I.Danilenko, A.A.Shmarin. ”New morphological spheroids objects and a<br />

morphgenesis <str<strong>on</strong>g>of</str<strong>on</strong>g> pathological body height <str<strong>on</strong>g>of</str<strong>on</strong>g> tissues”.

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