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Optics Letters

Experimental realization of phase-conjugate optical coherence tomography

Julien Le Gouët, Dheera Venkatraman, Franco N. C. Wong, Jeffrey H. Shapiro

Published Mar 25, 2010• 34 citations
Publisher

Abstract

We demonstrate phase-conjugate optical coherence tomography (PC-OCT) using a classical source of phase-sensitive cross-correlated beams to achieve measurement improvements shared by quantum OCT (Q-OCT): a factor-of-2 enhancement in axial resolution and even-order dispersion cancellation. Compared with coincidence counting used in Q-OCT, PC-OCT employs standard photodetection that results in much faster data acquisitions. This work belongs to a new class of classical techniques inspired by quantum methods that have advantages once thought to be exclusively quantum mechanical.

DOI
10.1364/ol.35.001001

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We demonstrate phase-conjugate optical coherence tomography (PC-OCT) using a classical source of phase-sensitive cross-correlated beams to achieve measurement improvements shared by quantum OCT (Q-OCT): a factor-of-2 enhancement in axial resolution and even-order dispersion cancellation. Compared with coincidence counting used in Q-OCT, PC-OCT employs standard photodetection that results in much faster data acquisitions. This work belongs to a new class of classical techniques inspired by quantum methods that have advantages once thought to be exclusively quantum mechanical.
Quantum optical coherence tomography (Q-OCT) offers a factor-of-2 improvement in axial resolution and the advantage of even-order dispersion cancellation when it is compared to conventional OCT (C-OCT). These features have been ascribed to the nonclassical nature of the biphoton state employed in the former, as opposed to the classical state used in the latter. Phase-conjugate OCT (PC-OCT) shows that nonclassical light is not necessary to reap Q-OCT's advantages. PC-OCT uses classical-state signal and reference beams, which have a phase-sensitive cross correlation, together with phase conjugation to achieve the axial resolution and even-order dispersion cancellation of Q-OCT with a signal-to-noise ratio that can be comparable to that of C-OCT.
A new configuration for optical coherence tomography is proposed that utilizes a phase-conjugate amplifier in conjunction with a Michelson interferometer to detect interference between two classical light fields with a non-zero phase-sensitive cross correlation. This imaging configuration - which we call phase-conjugate optical coherence tomography (PC-OCT) - shares the same factor-of-two axial resolution improvement and cancellation of even-order dispersion terms that are the key features of quantum optical coherence tomography, but without the necessity for non-classical signal and reference beams. Under appropriate conditions, PC-OCT can achieve a signal-to-noise ratio that is comparable to that of conventional optical coherence tomography.
We propose a technique, called quantum-optical coherence tomography (QOCT), for carrying out tomographic measurements with dispersion-cancelled resolution. The technique can also be used to extract the frequency-dependent refractive index of the medium. QOCT makes use of a two-photon interferometer in which a swept delay permits a coincidence interferogram to be traced. The technique bears a resemblance to classical optical coherence tomography (OCT). However, it makes use of a nonclassical entangled twin-photon light source that permits measurements to be made at depths greater than those accessible via OCT, which suffers from the deleterious effects of sample dispersion. Aside from the dispersion cancellation, QOCT offers higher sensitivity than OCT as well as an enhancement of resolution by a factor of two for the same source bandwidth. QOCT and OCT are compared using an idealized sample.
Quantum optical coherence tomography (Q-OCT) is the non-classical counterpart of optical coherence tomography (OCT), a high-resolution 3D imaging technique based on white-light interferometry. Because Q-OCT uses a source of frequency-entangled photon pairs, not only is the axial resolution not affected by dispersion mismatch in the interferometer but is also inherently improved by a factor of two. Unfortunately, practical applications of Q-OCT are hindered by image-scrambling artefacts and slow acquisition times. Here, we present a theoretical analysis of a novel approach that is free of these problems: Fourier domain Q-OCT (Fd-Q-OCT). Based on a photon pair coincidence detection as in the standard Q-OCT configuration, it also discerns each photon pair by their wavelength. We show that all the information about the internal structures of the object is encoded in the joint spectrum and can be easily retrieved through Fourier transformation. No depth scanning is required, making our technique potentially faster than standard Q-OCT. Finally, we show that the data available in the joint spectrum enables artefact removal and discuss prospective algorithms for doing so.
Using spectrally correlated photon pairs instead of classical laser light and coincidence detection instead of light intensity detection, Quantum Optical Coherence Tomography (Q-OCT) outperforms classical OCT in several experimental terms. It provides twice better axial resolution with the same spectral bandwidth and it is immune to even-order chromatic dispersion, including Group Velocity Dispersion responsible for the bulk of axial resolution degradation in the OCT images. Q-OCT has been performed in the time domain configuration, where one line of the two-dimensional image is acquired by axially translating the mirror in the interferometer's reference arm and measuring the coincidence rate of photons arriving at two single-photon-sensitive detectors. Although successful at producing resolution-doubled and dispersion-cancelled images, it is still relatively slow and cannot compete with its classical counterpart. Here, we experimentally demonstrate Q-OCT in a much faster Fourier-domain configuration, theoretically proposed in 2020, where the reference mirror is fixed and the joint spectrum is acquired by inserting long fibre spools in front of the detectors. We propose two joint spectrum pre-processing algorithms, aimed at compensating resolution-degrading effects within the setup. While the first one targets fibre spool dispersion, an effect specific to this configuration, the other one removes the effects leading to the weakening of even-order dispersion cancellation, the latter impossible to be mitigated in the time-domain alternative. Being additionally contrasted with both the time-domain approach and the conventional OCT in terms of axial resolution, imaging range and multilayer-object imaging, Fourier-domain Q-OCT is shown to be a significant step forward towards a practical and competitive solution in the OCT arena.