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. 2021 Sep 24;29(20):32691–32699. doi: 10.1364/OE.439338

Incoherent superposition of polychromatic light enables single-shot nondiffracting light-sheet microscopy

Vahid Ebrahimi 1,2, Jialei Tang 1,2, Kyu Young Han 1,*
PMCID: PMC8687099  PMID: 34615334

Abstract

We demonstrate single-shot nondiffracting light-sheet microscopy by the incoherent superposition of dispersed polychromatic light sources. We characterized our technique by generating a Bessel light-sheet with a supercontinuum light-source and a C-light-sheet using a diode laser, and demonstrated its applicability to fluorescence microscopy. We emphasize that our method is easily implementable and compatible with the requirements of high-resolution microscopy.

1. Introduction

Light-sheet fluorescence microscopy (LSFM) has been widely used for three-dimensional (3D) volumetric imaging of biological samples [1]. A light-sheet selectively illuminates a thin portion of the sample, and the emitted fluorescence is generally collected by an orthogonally placed objective, which enables optical sectioning [2,3], long-term live-cell imaging [4] and fast assessment of clinical samples [5]. Multiple methods have been used to generate light-sheets [6–12]. In particular, scanning a nondiffracting beam has shown promising results by improving axial resolution while maintaining a large field of view [13–19]. However, this requires complex components and causes increased photodamage due to the high peak intensity delivered to the sample compared to a light-sheet created by a cylindrical lens with a Gaussian beam [1,20]. To solve these issues, field synthesis has been reported [21], in which a focused line is scanned over the back focal plane (BFP) of the excitation objective lens rather than scanning at the imaging plane. This allows one to significantly simplify lattice light-sheet imaging systems [17] and reduces photobleaching in Bessel light-sheet microscopy. Additionally, a new class of light-sheets called a C-light-sheet was also demonstrated using field synthesis [22], which balanced high axial resolution with reduced side lobes. However, field synthesis still utilizes beam scanning at the BFP, thus requiring mechanical components.

Toward scanning-free nondiffracting light-sheet generation, we recently reported a new method based on the incoherent superposition of a one-dimensional (1D) coherent beam at the image plane [23]. The 1D coherent beam was generated by a light-emitting diode (LED) spatially filtered by a narrow slit, or a diode laser used with a custom fiber that converted a bundle to a linear array. The latter is a more attractive approach because of its higher light transmission efficiency; however, it needs a specially designed fiber and a phase scrambler to ensure incoherent superposition. Field synthesis achieved incoherent superposition temporally by scanning a focused line at the BFP within a single camera exposure, whereas our approach manipulated spatial coherence to achieve the same light-sheet as field synthesis using static components.

In this paper we exploit the temporal coherence of polychromatic light sources to create 1D coherent beams, which provides an efficient means for instantaneously generating a Bessel light-sheet or C-light-sheet. We characterize nondiffracting light-sheets from supercontinuum and diode laser light sources, and apply the method to LSFM to image fluorescent beads and collagen samples.

2. Working principle

When a focused line is scanned over the BFP of an objective lens with an annular mask, it creates a Bessel light-sheet [21] or C-light-sheet [22] depending on the extent of the scanning range. We reason that if multiple focused lines of different wavelengths are simultaneously illuminated across the BFP, the resulting fields are incoherently superimposed at the imaging plane and produce nondiffracting light-sheets without scanning a focused line (Fig. 1). Note that technically they are pseudo nondiffracting or pseudo propagation-invariant beams but here we will call nondiffracting light-sheets for convenience.

Fig. 1.

Fig. 1.

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Working principle of single-shot nondiffracting light-sheet generation by dispersed 1D coherent beams. Incoherent superposition of fields resulting from each different wavelength generates nondiffracting light-sheets such as Bessel light-sheet (top) or C-light-sheet (bottom). FT denotes Fourier transform. Scale bars, 50 μm.

We conceive that a combination of a diffraction grating and a cylindrical lens could create multiple focused lines (Fig. 2). Specifically, we call the focused line as a one-dimensional (1D) coherent beam which is coherent along the x-axis but incoherent along the y-axis at the BFP [23]. The grating separates light exiting from a polychromatic light source depending on the wavelength and the cylindrical lens focuses each wavelength of light as a line at the BFP of an objective. After interacting with a grating, the angular dispersion (Δθ) of a polychromatic beam with a central wavelength λ0 and bandwidth Δλ can be described as:

Δθ=tan⁡θΔλλ0, (1)
θ=sin−1(λ0Dg), (2)

where θ is the angle of the first order diffracted beam when the incident beam is normal to the grating surface and Dg is the space of the grating. The beam is dispersed at the BFP along the y-axis, and if the angular dispersion is small, the amount of geometric dispersion (dy) can be approximated as:

dy=fCLΔθ, (3)

where fCL is the focal length of the cylindrical lens. It is possible to make this linear relationship valid over a wide range of angular dispersion if an achromatic f-theta lens is used. A similar configuration has been used in two-photon excitation microscopy for temporal focusing [24,25], although for a different purpose.

Fig. 2.

Fig. 2.

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Experimental scheme for creating 1D coherent beams using polychromatic light. A reflective diffraction grating followed by a cylindrical lens disperses light and focuses them at an annulus placed at the back focal plane of an objective lens.

3. Methods

3.1. Experimental setup

We used a custom-made light-sheet microscope as shown in Fig. 3. A supercontinuum light source (WhiteLase, NKT Photonics) or a diode laser (06-MLD, Cobolt) was used to generate the nondiffracting light-sheet. The former was expanded by two lenses L1 and L2 (f1 = 25.4 mm, f2 = 400 mm), and the latter was spatially filtered by a single-mode fiber (S405-XP) and collimated by a lens L3 (f3 = 75mm). Note that high spatial coherence is a prerequisite of an input beam to generate nondiffracting light-sheets [23,26]. The beam was sent to a reflective diffraction grating (Dg = 833 nm, GR25-1205) and a cylindrical lens CL (fCL = 150 mm or 250 mm). An annular mask (R1CA2000) with an outer radius (b) of 1 mm and an inner radius (a) of 0.85 mm was placed at the conjugated BFP, which was relayed by a 1:1 imaging system (f4 = f5 = 60 mm) to the BFP of the excitation objective (fobj = 18 mm, LMPLFLN 10×/0.28, Olympus). The emitted fluorescence signal was captured by a detection objective (UPLFLN 4×/0.13, UPLFLN 10×/0.3 or MPLFLN 50×/0.8; Olympus), filtered by a bandpass filter (ET700/75, Chroma) and imaged onto a camera (GS3-U3-51S5M-C, FLIR) by a lens L8 (f8 = 150 mm). We measured the spectrum of the diode laser with a spectrometer (HR4000, Ocean Optics) and fit the results to a Gaussian profile to calculate the linewidth of the light-source.

Fig. 3.

Fig. 3.

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Experimental setup of the single-shot nondiffracting light-sheet microscope. A diode laser (top) or a supercontinuum light source (bottom) was used as an excitation source. CAM1-2, cameras; CL, cylindrical lens; L1-8, lenses; SMF, single-mode fiber. a and b denote inner and outer radius, respectively.

To obtain 3D image stacks, the sample was mounted on a motorized stage (PT1-Z8) and moved along the x-axis, i.e., along the optical axis of the detection objective. For beam profile measurements, the generated light-sheet was imaged by a pair of lenses (f6 = 40 mm and f7 = 100 mm) on a second camera (BFS-U3-200S6M-C, FLIR) mounted on a motorized stage [23]. In the case of the supercontinuum light source, the output beam was filtered by a bandpass filter (FF01-635/18-25 or FF01-637/7-25, Semrock), a cylindrical lens with fCL = 150 mm was used, and an achromatic lens (fobj = 40 mm) was used as an objective. Optics and optomechanical components were purchased from Thorlabs unless specified otherwise.

3.2. Sample preparation

1 μm diameter fluorescent beads (F8816, ThermoFisher) were mixed with a hydrogel solution which was made of 7.5% acrylamide:bisacrylamide (29∶1) (National Diagnostics), 0.2% (v/v) tetramethylethylenediamine (TEMED), and 0.02% (w/v) ammonium persulfate in 0.75× TAE buffer (tris-acetate-EDTA) [27]. 100 μL of the mixture was injected into a flow chamber (155409, ThermoFisher) and incubated for 10 min. The polymerized hydrogel was mounted on a glass slide for imaging.

For 3D collagen samples, rat-tail collagen (A1048301, ThermoFisher) at a concentration of 3 mg/mL was labeled with Atto-647 NHS ester (07376, Sigma-Aldrich) [28]. 5% of the labeled collagen was mixed with a 95% of unlabeled collagen. 50 μL of the collagen solution (1.5 mg/mL) was mixed with 10 μL of 10× PBS, 0.3 μL of 1N sodium hydroxide, and 39.7 μL of distilled water. All the solutions were pre-chilled to prevent any immature polymerization. 50 μL of the final solution was injected into a flow chamber and incubated at room temperature for one hour. The degree of polymerization of the sample was checked with a phase contrast microscope every 15 minutes.

4. Results

4.1. Single-shot Bessel light-sheet generation by supercontinuum light

We used a supercontinuum light source to prove our method of nondiffracting light-sheet generation. To ensure that the 1D coherent beams fully covered the annulus, an 18 nm bandwidth filter centered at λ0 ∼ 635 nm was used, which provided ∼5.0 mm of geometric dispersion, dy. We recorded intensity profiles of three different cases using supercontinuum light (Fig. 4): (i) a Bessel beam, (ii) Gaussian light-sheet, and (iii) Bessel light-sheet. For the Bessel beam, the grating and cylindrical lens were omitted, and for the Gaussian light-sheet the annular mask was removed. Figure 4(c) shows that our approach was able to produce a Bessel light-sheet without scanning a focused line over the BFP. Please note that the Bessel light-sheet is conventionally generated by scanning a Bessel beam, so the side lobes are superposed (Fig. 4(d)). The propagation length of the Bessel light-sheet was ∼5.5 times longer (7.34 mm) than the Gaussian light-sheet (1.34 mm) while its thickness measured at the full width at half maximum (FWHM) of the main lobe was ∼0.7 smaller (8.8 μm) than that of the Gaussian light-sheet (11.8 μm). A narrow bandwidth (Δλ = 7 nm) yielded a similar result.

Fig. 4.

Fig. 4.

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Light-sheet intensity profiles generated by a supercontinuum light source. (a) Bessel beam. (b) Gaussian light-sheet. (c) Bessel light-sheet. (d) Line profiles of Gaussian (blue) and Bessel (red) light-sheets along the x-axis (top) and z-axis (bottom). Scale bars, 100 μm (white) and 1 mm (yellow).

4.2. Single-shot C-light-sheet generation by a diode laser

A supercontinuum is unlikely to be an ideal light source in LSFM for long-term observation, because pulsed excitation can induce photodamage [1,20,29]. A more desirable light source may be a continuous wave (CW) diode laser. However, these usually have a narrow spectral bandwidth in the range of 1−3 nm, which prevents 1D coherent beams from covering the entire annulus in accordance with Eqs. (1)–(3). Although a Bessel light-sheet cannot be generated in this case, a C-light-sheet [22] can be created by illuminating a portion of the annulus (Fig. 5(a)).

Fig. 5.

Fig. 5.

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Single-shot C-light-sheet generation using a diode laser. The beam covers a range of 0.43-0.85mm at the BFP. (a) Intensity profiles of single-shot C-light-sheet. (b) Spectrum of the diode laser. Line profiles in the x-axis (c) and z-axis (d) for the Gaussian light-sheet (blue) and C-light-sheet (red). Scale bars, 25 μm (white) and 400 μm (yellow).

We experimentally demonstrated our concept using a diode laser emitting a wavelength of 638 nm with Δλ = 1.4 nm (Fig. 5(b)) by measuring the intensity profiles for a Gaussian light-sheet and C-light-sheet in a similar way to those using the supercontinuum source. We adjusted the position of the 1D coherent beams such that they covered a 0.43-0.85 mm range of the BFP when a cylindrical lens with fCL = 250 mm was used. Our results showed that the narrow bandwidth of the diode laser was sufficient to produce a single-shot C-light-sheet (Fig. 5(a)). The propagation length of the C-light-sheet was Δz = 1.16 mm, which was ∼2-times longer than the Gaussian light-sheet (Δz = 0.64 mm) for the same light-sheet thickness (Δx = 5.9 μm), as shown in Figs. 5(c) and 5(d).

4.3. Fluorescence imaging with single-shot C-light-sheet microscopy

We imaged 1 μm fluorescent beads embedded in a 3D hydrogel using our light-sheet microscope with the diode laser. The longer propagation length of a C-light-sheet allowed us to have a 1.8-fold larger field-of-view (FOV) compared to a Gaussian light-sheet (Figs. 6(a) and 6(b)). To quantify the size of FOV, we averaged the pixel values in the y direction, smoothed the curve and fitted it with a Gaussian function. We were also able to obtain high resolution 3D images by translating the hydrogel over a 30 μm depth using a 50×/0.8 detection objective (Figs. 6(c) and 6(d)). Contrast reduction due to side lobes of a C-light-sheet was negligible because the axial detection point spread function was smaller than the light-sheet thickness.

Fig. 6.

Fig. 6.

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Fluorescence images of 1 μm beads in 3D hydrogels measured by Gaussian light-sheet (a) and single-shot C-light-sheet microscopy (b-d). The detection objectives were 4×/0.13 for (a, b) and 50×/0.8 for (c, d). All images were maximum intensity projected. Scale bars, 10 μm (white) and 200 μm (yellow).

Lastly, we imaged 3D collagen samples with our microscope. A comparison of the same imaging areas taken using a Gaussian light-sheet and a C-light-sheet clearly emphasize the increased FOV of the C-light-sheet (Fig. 7). The images show the diffraction-limited performance and minimal out-of-focus background, as expected.

Fig. 7.

Fig. 7.

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Rat-tail collagen labeled with Atto647N imaged by a Gaussian light-sheet (left) and a single-shot C-light-sheet (right). The detection objective lens was 20×/0.5. Scale bar, 150 μm.

5. Discussion

We demonstrated single-shot nondiffracting light-sheet microscopy using spatially coherent polychromatic light. In contrast with other approaches [14,16,17,21,22], our method of illuminating an annular mask using dispersed light makes the use of a galvo scanner and/or SLM unnecessary in the illumination part. In fluorescence microscopy, the inherent bandwidth of polychromatic light sources has not been extensively exploited except for multicolor imaging using a white light laser [30]; although, dispersed illumination has been used for other imaging modalities [31]. Here, we utilized the temporal coherence of light to achieve the incoherent superposition of multiple light-sheets. In principle, this may be applicable to other fluorescence imaging techniques [32]. If the annular mask is omitted, a single-shot multidirectional Gaussian light-sheet will be generated, which can reduce shadowing effects [33].

One may notice that the illumination FOV along the y-axis (FOVy) appears smaller than that along the z-axis. This is attributed to the fact that FOVy is governed by the magnification and the diameter of collimated input beam (L). If L and dy are kept constant, FOVy is proportional to Δλ based on Eqn. (1). However, this is often not an issue because the FOV is typically limited by the propagation length of light-sheets, especially for high resolution microscopy.

Unlike our previous technique [23] which generated 1D coherent beams via controlling spatial coherence, there is no need for a custom fiber nor fiber shaker. As many diode lasers used in fluorescence microscopy have bandwidths similar to that of our tested laser, our approach is readily applicable to multicolor fluorescence light-sheet imaging. Other light sources such as superluminescent diodes [34] can be also utilized in our technique. Further studies comparing other single-shot pseudo nondiffracting light-sheets [35–39] will give us insight on the properties of these light-sheets, especially comparisons with Gaussian light-sheets [40,41]. We expect our method can simplify non-diffracting light-sheet microscopes.

Acknowledgments

We thank to NKT Photonics for loaning the supercontinuum laser, David J. Hagan for letting us to use the spectrometer, and Benjamin Croop for critically reading our manuscript.

Funding

National Institutes of Health10.13039/100000002 (R35GM138039); University of Central Florida10.13039/100007900 (65019A04).

Disclosures

The authors declare no conflicts of interest.

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Associated Data

This section collects any data citations, data availability statements, or supplementary materials included in this article.

Data Availability Statement

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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