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One-shot-phase-shifting Fourier domain optical coherence tomography by reference wavefront tilting

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Abstract

A novel optical scheme for a phase shifting method of Fourier domain optical coherence tomography is presented. With this method we avoid a mechanical scan for phase shifting (mechanical M-scan) by using a reference beam with tilted wavefront. The principle of this system is confirmed with a simple mirror object. This method is applied on a biological sample and used to investigate a porcine anterior eye chamber.

©2004 Optical Society of America

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Figures (5)

Fig. 1.
Fig. 1. The schematic diagram of the phase shifting Fourier domain OCT system. M; a mirror, BS; a beam splitter, Obj; an objective and CL; a cylindrical lens.
Fig. 2.
Fig. 2. Schematic figure of phase offset control by the tilt of reference wavefront (i), and one-shot spectral interferogram on CCD camera.
Fig. 3.
Fig. 3. One dimensional OCT signals measuring a mirror-surface, The signals represent a reconstructed signal without phase shifting (i) and with phase shifting (ii).
Fig. 4.
Fig. 4. Anterior chamber of on ex-vivo porcine eye. OCT images reconstructed without phase-shifting algorithm (i), and with phase-shifting algorithm (ii).
Fig. 5.
Fig. 5. An example of a fiber-based reference wavefront tilting FD-OCT system. The interferometer is a conventional fiber-based Mach-Zehnder interferometer, and the reference wavefront tilting is induced by the separation of two fiber tips.

Equations (6)

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I ˜ ( ω ) = p ˜ ( ω ) 2 + r ˜ ( ω ) 2 + 2 p ˜ ( ω ) r ˜ ( ω ) cos ( ω τ d p ˜ ( ω ) + φ )
I ( τ ) = Γ [ p ( τ ) ] + Γ [ r ( τ ) ] + ( Γ [ p ( τ ) , r ( τ ) ] e i φ ) δ ( τ τ d )
+ ( Γ [ r ( τ ) , p ( τ ) ] e φ ) δ ( τ + τ d )
I ˜ ps ( ω ) = p ˜ ( ω ) r ˜ ( ω ) exp i ( ω τ d p ˜ ( ω ) ) .
I ps ( τ ) = Γ [ p ( τ ) , r ( τ ) ] δ ( τ τ d )
φ = 4 π δ L λ
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