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High speed optical tomography system for imaging dynamic transparent media

L. McMackin, R. J. Hugo, R. E. Pierson, and C. R. Truman

Open Access Open Access

Abstract

We describe the design and operation of a high speed optical tomography system for measuring two-dimensional images of a dynamic phase object at a rate of 5 kHz. Data from a set of eight Hartmann wavefront sensors is back-projected to produce phase images showing the details of the inner structure of a heated air flow. Series of animated reconstructions at different downstream locations illustrate the development of flow structure and the effect of acoustic flow forcing.

©1997 Optical Society of America

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Supplementary Material (7)

Media 1: MOV (351 KB)     
Media 2: MOV (443 KB)     
Media 3: MOV (427 KB)     
Media 4: MOV (329 KB)     
Media 5: MOV (441 KB)     
Media 6: MOV (442 KB)     
Media 7: MOV (379 KB)     

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Figures (6)
Fig. 1.
Fig. 1. Schematic of the optical tomography apparatus made up of 8 diode laser illuminated Hartmann sensors. A tomographic back propagation algorithm creates a 2D flow image from 8 path integrated optical phase measurements.

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Fig. 2.
Fig. 2. Schematic of the tomography system model used to simulate performance.

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Fig. 3.
Fig. 3. Photographic flow visualization of shear layer vortex structures of interest.

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Fig. 4.
Fig. 4. Tomographic image sequences depicting the evolution of internal phase features of the heated round jet with downstream locations at two different forcing frequencies. [Media 1] [Media 2] [Media 3] [Media 4] [Media 5] [Media 6]

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Fig. 5.
Fig. 5. Animated tomographic sequence showing structure of a helical mode measured at 1.5D. [Media 7]

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Fig. 6.
Fig. 6. (a) 2-D time histories produced by stacking tomographic reconstructions and displaying them as an isotemperature surface. (b) cutaway showing internal features of the stack.

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Equations (5)

Equations on this page are rendered with MathJax. Learn more.

n = 1 + 77.6 ( 1 + 7.52 × 10 − 3 λ − 2 ) P T × 10 − 6
OPD i = ∫ beam path i [ n ( T ( x , y ) ) − n ( T a ) ] dx dy
Δ ϕ i = δ i f L
Δ ϕ i = OPD i + 1 − OPD i d
OPD i = d ∑ n = 0 i Δ ϕ n
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