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In this chapter, we introduce two noteworthy methods for exploring the use of the so-called time-resolved reflection matrix (TRRM) of the scattering medium. TRRM is made of the amplitude and phase maps of reflected waves taken at specific arrival time and for various angles or positions of illumination. It provides us with unprecedented amount of information covering both spatial input-output correlation and temporal response. With the vast amount of information at hand, studies have been conducted to relieve the limitations of imaging depth and energy delivery that the multiple light scattering imposes. In section 2, we describe a time-domain approach for measuring TRRM and its application for dramatically improving imaging depth that maintains diffraction-limited spatial resolution. Spectral-domain approach of measuring TRRM is introduced in section 3 along with its application for enhancing energy delivery to the target depth by the implementation of time-dependent eigenchannels.
Light propagation through inhomogeneous, disordered materials is still an enigmatic problem with unpredictable output, since complex multi-particle light scattering results in uncountable phase delays from scattered or absorbed photons. In coherent optics, strong intensity modulations arise from the interference of ballistic and diffusive photons and thus generate deterministic chaotic intensity distributions after some dozens of microns of propagation through scattering materials such as biological tissue. This circumstance is detrimental to the quality of an image p(x,y,z) in light-sheet based microscopy (LSBM), where a thin plane within the sample is illuminated by a sheet of light. In the ideal, but unrealistic case the light-sheet consists of purely ballistic photons, which do not interact with the various scatterers inside the sample to be imaged. However, only recently it has been shown that the relative number of ballistic photons could be increased by holographically shaping the phase of the incident laser beam. This effect leads not only to enhanced penetration depths, but consequently also reduces diffusive photons or beam deflections by scattering objects.
This chapter covers three main advanced themes in light sheet imaging. Firstly, we discuss the widely recognized issues of sample induced optical aberrations. In itself this is broad and topical area given the importance of probing deeper into biological systems. This requirement arises as we wish to gain functional imaging which often can only be gleamed at depths currently difficult to attain (e.g. > 1 mm). The scattering and absorptive properties of tissue compromise contrast in thick tissue. This issues is exacerbated in fluorescence light sheet microscopy for which the fluorescence excitation and detection paths do not coincide. In this chapter we discuss different approaches to adaptive aberration measurement and correction of both the illumination and the detection paths for deep tissue light sheet microscopy.
The general approach to wavefront sensorless adaptive optics (or “sensorless AO” for short) relies upon the optimisation of a measurement that is known to be related to the aberration content. For example, in an adaptive laser focussing system, one might maximise the intensity at the centre of the focussed beam. In image-based AO systems, which are a sub-category of sensorless AO systems, an appropriately chosen image property is optimised. In certain microscopes (e.g. confocal or multi-photon microscopes) the total image intensity (sum of all pixel values) is an appropriate optimisation metric, as it exhibits a maximum value when no aberration is present. If the aberration in the system is non-zero due to refractive index variations in the specimen, then the value of the metric will be lower than its optimal value. The goal of the sensorless AO routine would be to use the adaptive element to maximise the metric by minimising the total aberration in the system.
Optical tomography techniques have been widely used for imaging. Among those techniques, since its development optical coherence tomography (OCT) has played an important role in imaging biological samples, especially in eye examinations. The combination of OCT with adaptive optics (AO) for aberration correction to improve the OCT performance is one of the most impactful technique advances for non-invasive and high resolution imaging. In this chapter, we are going to discuss about an en face approach of OCT, Full-Field OCT or FFOCT, and about a compact AO-FFOCT system that was coupled with a transmissive liquid crystal spatial light modulator (LCSLM) to induce or correct aberrations. We will show that, with spatially incoherent illumination, the FFOCT system point spread function (PSF) is almost independent of aberrations that mostly induce a reduction of the signal level (signal to noise ratio) without broadening the PSF width. By comparing scanning OCT with spatially coherent illumination, wide-field OCT with spatially coherent illumination and FFOCT with spatially incoherent illumination, theoretical analysis, numerical calculation as well as experimental results are demonstrated to show this specific merit of incoherent illumination in FFOCT. We will also demonstrate a compact AO-FFOCT system in which the strict pupil conjugation is abandoned for low order aberrations correction. A wavefront sensorless method is used for distortion compensation by using the FFOCT signal as the metric based on the resolution conservation property of FFOCT. AO experiment results done with USAF resolution target and biological samples will be reviewed. And the potential of this AO-FFOCT system for retinal imaging will be discussed.
To use the visible fluorescent signal for wavefront sensing in scattering tissue at depth, we need to employ indirect wavefront sensing methods. In this section, we describe a pupil-segmentation AO method based on physical principles similar to those utilized by SH sensors. A zonal approach by nature, it differs from the wavefront measurement scheme in a SH sensor in that, rather than measuring the wavefront segments in parallel and thus being susceptible to tissue scattering as in a SH sensor, it measures the wavefront segments serially, making it applicable to strongly scattering samples such as the mouse brain.
This chapter reviews the advances in light control through complex media using a DMD. Although these devices are known for their amplitude modulation capabilities, the implementation of binary holographic techniques effectively converts them into phase modulation devices. The fast decorrelation time of tissue, in the milliseconds time scale, motivates the research and development of fast focusing and imaging methods. The main advantage of using these MEMS devices, is the high switching speed, up to more than 20 kHz, improving the bandwidth with respect to the widely used LC-SLMs. DMDs have allowed reducing the total focusing time through complex media to tens of milliseconds, close to the speckle decorrelation times of dynamic biological media (tissue). The signal-to-noise ratio (SNR) of the signal detected is critical in this type of high-speed experiment because SNR decreases with the integration time. Therefore, the implementation of algorithms designed for low SNR environments will be required in the future.
In this chapter, we describe the use of a MEMS device to enhance microscopic focusing in scattering media. We begin the chapter with the manufacturing and actuation mechanism of MEMS SLMs. Then we illustrate how focusing through scattering media is achieved using both monochromatic and chromatic light. In recent development, two- and three-photon microscopy is demonstrated with MEMS SLMs for scattered light control. Lastly, conjugate AO is provided as future direction to the readers to overcome field of view limitations most for subsurface imaging applications.
In this chapter, we introduce and review recent research works based on the coupling optical wavefront shaping and photoacoustics. Coupling these two research fields, that have until recently developed rather independently, offers mutual advantages for both fields: on the one hand, the photocoustic effect provides a powerful sensing mechanism for optical wavefront shaping techniques, while on the other hand photoacoustic imaging can greatly benefit from optical wavefront shaping techniques. This chapter first introduces the principle of photoacoustics relevant in the context of this chapter, including an introduction to the photoacoustic effect and a brief overview of the principles of biomedical photoacoustic imaging. We then first review the recent works on photoacoustic-guided optical wavefront shaping, either with optimization or transmission-matrix approaches, and finally illustrate how optical wavefront shaping can be applied to develop minimally invasive photoacoustic microendscopy mith multimode fibers. Some parts of this chapter have been adapted from a recent review article on coupling photoacoustics and coherent light [1].
We review adaptive optics (AO) in biological imaging using direct wavefront measurement. Here light from a point source in the specimen is used to measure the wavefront with a detector such as a Shack-Hartmann wavefront sensor, similar to the approach that is used in astronomy. The benefit of direct wavefront measurement relative to the sensorless methods is that the wavefront can be measured quickly in one step. Typically sensorless methods are iterative, requiring a number of measurements. Taking multiple measurements can take more time and may expose the sample to more light which can lead to photo-bleaching. Another benefit is that some indirect methods use optimization of a merit function such as image sharpness or image intensity. In direct wavefront sensing the wavefront aberration is directly measured and corrected rather than optimized. As we shall discuss, a common metric for direct wavefront measurement and correction is the Strehl ratio which is defined as the ratio of the on-axis beam intensity to the diffraction limited beam intensity. The objective is getting as close as possible to the diffraction limit.
In addition to the many hardware methods for wavefront shaping described in the previous chapters, it is also possible to modify the wavefront computationally. Using interferometric detection, the complex optical wavefront can be measured. The phase of the wavefront can then be adjusted in software in a method analogous to that of a deformable mirror. This method is termed digital adaptive optics or computational adaptive optics (CAO). This is distinct from a previously published method of the same name which used ray tracing to guide amplitude deconvolution of 3-D datasets.
As the signal in multiphoton microscopy inherently has nonlinear dependence on light intensity (e.g. second order nonlinearity in two-photon excitation, third order nonlinearity in three-photon excitation), the combination of nonlinearity and iterative feedback is expected to work well in practice. We named this method Iterative Multi-Photon Adaptive Compensation Technique (IMPACT).