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    + + + + +Journal of Open Source Software +JOSS + +2475-9066 + +Open Journals + + + +6315 +10.21105/joss.06315 + +pySLM2: A full-stack python package for holographic beam +shaping + + + +https://orcid.org/0000-0002-7561-6833 + +Shih +Chung-You + + +* + + +https://orcid.org/0009-0009-0699-8258 + +Zhu +Jingwen + + + + +https://orcid.org/0000-0002-6483-8932 + +Islam +Rajibul + + + + + +Institute for Quantum Computing and Department of Physics +and Astronomy, University of Waterloo, 200 University Ave. West, +Waterloo, Ontario N2L 3G1, Canada + + + + +* E-mail: + + +13 +8 +2017 + +9 +103 +6315 + +Authors of papers retain copyright and release the +work under a Creative Commons Attribution 4.0 International License (CC +BY 4.0) +2024 +The article authors + +Authors of papers retain copyright and release the work under +a Creative Commons Attribution 4.0 International License (CC BY +4.0) + + + +Python +optics +trapped ions +physics +quantum information + + + + + + Summary +

    Holographic beam shaping using spatial light modulators (SLMs) as a + reprogrammable hologram offers a powerful tool for precise and + flexible optical controls. It has been adopted for a wide range of + researches, including atom trapping + (Gaunt + & Hadzibabic, 2012), optical addressing of individual + quantum objects + (Motlakunta + et al., 2024), preparation of exotic quantum states + (Islam + et al., 2015), and multi-beam laser machining + (Obata + et al., 2010).

    +

    pySLM2 is a python package designed for + holographic beam shaping applications, encompassing hologram + generation, simulation, and hardware controls.

    +

    The package implements the hologram generation algorithms of the + Lee hologram + (Lee, + 1978) and its improved alternatives + (Shih + et al., 2021; + Zupancic + et al., 2016), specifically targeting the digital micromirror + device (DMD) based SLM with binary amplitude controls. It also + implements the Gerchberg-Saxton algorithm + (Gerhberg + & Saxton, 1972) and its improved + alternatives(Gaunt + & Hadzibabic, 2012; + Pasienski + & DeMarco, 2008) suitable for liquid crystal on silicon + (LCoS) based SLMs with pure phase controls.

    +

    At its core, the package uses TensorFlow for + numerical computations. By leveraging + TensorFlow, the package harnesses the power of + GPUs for faster computation without the need for code modification. + This results in a significant speed-up for algorithms that are + computationally expensive but benefit from parallelization, such as + many hologram generation algorithms relying on iterative Fourier + transformations.

    +

    In addition to hologram generation, the package provides functions + to simulate beam profiles created by holograms, aiding users in + evaluating algorithm performance. It also includes a variety of + pre-defined optical profiles, such as Hermite-Gaussian, + Laguerre-Gaussian, super-Gaussian, and Zernike polynomials, enabling + users to construct target beam profiles with ease.

    +

    For hardware control, pySLM2 offers a unified application interface + (API) compatible with various SLMs, ensuring seamless adaptation of + code across different devices. Currently, the package supports DMD + controllers from two commercial vendors: Visitech, INC and ViALUX + GmbH.

    +
    + + Statement of need +

    High-quality optical controls are crucial for numerous scientific + and engineering applications. For instance, in atom-based quantum + information processors, quantum states of individual atoms are often + manipulated by individually addressing laser beams. The quality of + these addressing beams directly impacts the fidelity of quantum + operations + (Motlakunta + et al., 2024).

    +

    Holographic beam shaping using SLMs provides a way for precise and + adaptive optical controls. Compared to using conventional optical + elements, holographic beam shaping has several advantages. Firstly, it + can generate arbitrary beam profiles that are challenging to create + with standard optical elements. For example, the Laguerre-Gaussian + beam with a non-zero azimuthal index (often referred to as a doughnut + beam), which can be used to trap atoms in a tube-like potential + (Kuga + et al., 1997), apply angular momentum to Bose-Einstein + Condensate + (Andersen + et al., 2006), or achieve super-resolution imaging + (Drechsler + et al., 2021; + Qian + et al., 2021).

    +

    Secondly, holographic beam shaping can actively correct cumulative + optical aberrations in the system arising from almost inevitable + causes, such as surface irregularities, misalignment, and imperfect + lens curvature, thereby achieving diffraction-limited performance at + the target image plane. This enables the faithful production of target + beam profiles with high accuracy, relieving the stringent requirements + on optics quality and alignment precision. It has been shown that + residual wavefront aberrations can be corrected to less than + + + λ/20 + root-mean-square (RMS) + (Shih + et al., 2021; + Zupancic + et al., 2016), which meets the Maréchal criteria (wavefront RMS + error < + + λ/14) + for optical performance.

    +

    At the time of writing, the pySLM2 package, + as detailed in this manuscript, has been used in the trapped ion + quantum information processing researches + (Kotibhaskar + et al., 2023; + Motlakunta + et al., 2024; + Shih + et al., 2021). The authors believe that the package will + benefit a broader community of researchers and engineers by offering + turnkey solutions for applying holographic beam shaping to their work. + Moreover, the primitives included in the package can assist + researchers in rapidly prototyping new hologram generation + algorithms.

    +

    There are existing open-source packages available that specialize + in different levels of holographic beam shaping with SLMs. For + example, + SLMLayout + is a package focusing on wavefront shaping with macropixel method + (Matthès + et al., 2019) with DMDs. + CGH-diff + offers Tensorflow scripts for an automatic + differentiation-based algorithm + (Yamamoto + & Ochiai, 2021) for DMD hologram generation. + slmsuite + offers a comprehensive suite of hologram algorithms tailored for + phase-only Spatial Light Modulators (SLMs), supported by GPU + acceleration via CuPy + (Okuta + et al., 2017), and includes hardware control capabilities for + Liquid Crystal on Silicon (LCoS) SLMs.

    +

    pySLM2 implements hologram generation + algorithms and primitives leveraging TensorFlow + for GPU acceleration. Some algorithms, including the algorithms used + in authors’ prior + works(Motlakunta + et al., 2024; + Shih + et al., 2021) in the field of quantum information processing, + are only available in pySLM2 at the time of + writing. In terms of hardware controls, pySLM2 + offers a unified API for programming DMDs from different vendors.

    +

    We hope that the addition of pySLM2 to the + community will facilitate researchers in applying Fourier holographic + beam shaping ideas on various machines with fewer hardware + hurdles.

    +
    + + Fourier Holography Basics +

    pySLM2 is designed for holographic beam + shaping using Fourier holography. The name “Fourier” comes from the + fact that the electric fields of the beam at the hologram plane and + the target plane are related by a Fourier transformation.

    +

    In a paraxial lens system, the lens act as a Fourier transform + operator mapping the electric field in one focal plane to the electric + field in the another focal plane. In the context of Fourier + Holography, the two focal planes are referred as the image plane (IP) + and the Fourier plane (FP). The electric fields at the two planes, + + + EIP(𝐱) + and + + EFP(𝐱) + respectively, are related by the following equation:

    +

    + + EFP(𝐱)eiΦab=λf2π[EIP(𝐱)](𝐤)|𝐤=2πλf𝐱 + In which, + + 𝐱 + and + + 𝐤 + denote the spatial coordinate and the wave vector at the image plane + respectively, and + + + denotes Fourier transformation. The wave vector + + + 𝐤 + is related to the spatial coordinate + + 𝐱 + at FP by + + 𝐱=λf2π𝐤 + where + + f + is the effective focal length of lens and + + + λ + is the wavelength of the light.

    +

    The aberrations of the optical system can be modeled as a phase map + + + Φab + in the Fourier plane. In pySLM2’s convention, + the plane SLM is placed is Fourier plane, and the image plane is where + the targeted beam profile is desired. The SLM modulates the beam at + Fourier plane to engineer the desired beam profiles at the image + plane.

    +
    + + Hologram Generation Algorithm +

    Currently, pySLM2 supports two type of the + spatial light modulator (SLM), liquid crystal on silicon (LCoS) SLM + and digital micromirror device (DMD). The LCoS SLM modulates the phase + profile purely without modifying the amplitude. As the time of + writing, Gerchberg-Saxton (GS) + (Gerhberg + & Saxton, 1972) algorithm and the mixed-region amplitude + freedom (MRAF) algorithm + (Gaunt + & Hadzibabic, 2012; + Pasienski + & DeMarco, 2008) are included.

    +

    On the other hand, DMDs use micromirrors to locally turn on and off + the light by toggling the micromirrors between two directions. This + allows binary amplitude control. By periodically turning on and off + the micromirrors across the DMD to form grating patterns, diffracted + beams with controllable phase and amplitude can be engineered to have + the desired beam profiles. As the time of writing, a randomized + algorithm + (Zupancic + et al., 2016) and an iterative Fourier transformation algorithm + (Motlakunta + et al., 2024; + Shih + et al., 2021) are provided for hologram generation.

    +
    + + Usages +

    pySLM2 offers commonly used optics profiles + right out of the box, including Hermite Gaussian, Laguerre Gaussian, + super Gaussian (also known as “flat top”), and Zernike polynomials. + These profiles are implemented as functional objects, and + pySLM2 automatically handles the profile + sampling during hologram calculations.

    +

    For profiles that are not included by default, users have the + option to either inherit from the base class and implement their + custom profiles or generate the sampled profiles in an array format to + pass them to the hologram calculation function. As illustrated in Fig. + [fig:lg], here’s an + example of creating a hologram to generate a Laguerre Gaussian beam + with a mode of + + l=1, + + + p=0, + which often referred to as a “doughnut beam”, from the fundamental + Gaussian mode. Unless specified, the simulation shown in this paper is + simulated with the following conditions: + + + λ=369nm + wavelength, + + f=200mm + Fourier lens focal length, and with Texas Instrument DLP9500 as the + SLM ( + + 1px=10μm + micromirror size).

    + +

    Hologram simulation for creating Laguerre Gaussian beam + of + + l=1, + + + p=0 + mode from fundamental mode. (a) DMD mirror configuration. Bright + pixels represent “on” and dark pixels represent “off”. (b) Intensity + profile of input fundamental Gaussian beam. (c) Intensity profile of + the output Laguerre ( + + l=1, + + + p=0) + Gaussian beam at the image plane. (d) Phase map of the output beam. + An optical vortex can be observed at the center of the Laguerre + + + l=1, + + + p=0 + mode (Source code: + examples/create_donut_beam.py)

    + +
    +

    The arithmetic operations of the profiles are also overloaded, so + one can easily combine different profiles through addition or rescale + the profiles through multiplication. Shown in Fig. + [fig:multi], we + create a hologram to generate two Gaussian beams. In the source code, + it is written as adding two Gaussian profiles together at different + positions.

    + +

    Hologram simulation for creating two Gaussian beams from + one input Gaussian beam. (a) DMD mirror configuration. Bright pixels + represent “on” and dark pixels represent “off”. (b) Intensity + profile of input single Gaussian beam. (c) Intensity profile of the + two output Gaussian beams at the image plane. (d) Phase map of the + output beam. An example of two Gaussian beams having opposite phases + is shown. (Source code: + examples/create_donut_beam.py) +

    + +
    + + Aberration Correction +

    One of the key advantages of holographic beam shaping is its + capability to correct optical aberrations, and + pySLM2 provides an easy method to achieve + this correction. By supplying the aberration information during the + hologram calculation, pySLM2 generates a + hologram imprinted with a phase profile opposite to the aberration, + effectively canceling the aberration out.

    +

    In the example depicted in + [fig:aberration], + we simulate the beam profile at the image plane both with and + without aberration correction. Without aberration correction, the + beam profile becomes distorted and broadened. In this particular + simulation, spherical aberration is used, but + pySLM2 is capable of correcting other types + of aberrations as well.

    + +

    Simulation of the beam profiles at the image plane + with and without aberration correction. (a) Phase map of the input + beam with + + 40 + spherical aberration. (b) Intensity profile of the input beam. (c) + Intensity profile of the first order beam without aberration + correction. (d) Intensity profile of the first order beam with + aberration correction. (Source code: + examples/aberration_correction.py) +

    + +
    +

    To obtain the phase map of the aberration, one can either use a + wavefront sensor, such as a Shack–Hartmann sensor + (Paschotta; + Shack, + 1971), to measure the wavefront, or one can allow light from + different parts of the Fourier plane to interfere with each other to + reconstruct the aberration phase profile from the resulting + interference patterns. For a detailed description of the latter + method, one can refer to Shih et al. + (Shih + et al., 2021).

    +
    + + Hardware Controls +

    pySLM2 provides hardware controls for DMD + controllers from both Visitech, INC and ViALUX GmbH. The controllers + from these two companies use different communication protocols and + architectures. The Visitech controller uses UDP over Ethernet, while + the ViALUX controller uses USB3.

    +

    One of the goals of pySLM2 is to abstract + the hardware details and offer a unified application interface for + interacting with these devices. For instance, we have implemented + the same load_single and + load_multiple functions within the controller + classes for both manufacturers’ devices. These functions allow for + the display of single holograms or the loading of multiple holograms + that can be switched by triggers. Apart from the hardware-agnostic + functions, it also exposed the lower-level access for advanced users + to implement device specific controls.

    +

    As of the current writing, the package’s hardware support is + limited to DMD controllers. For users interested in using LCoS-SLM, + open-source tools such as + slmsuite + and + slmPy + are available options.

    +
    +
    + + Author Contributions +

    C.-Y.S. designed and implemented the package. J.Z. contributed to + implementing the hardware controls and performance benchmarking. R.I. + advised on the scientific aspects of the package. All authors + contributed to writing the manuscript and documenting the package.

    +
    + + Acknowledgements +

    The hardware controls for the DMDs from ViALUX GmbH in the package + is built on top of the AL4lib + (Popoff + et al., 2022). We appreciate the work of the authors of + AL4lib. We express gratitude to Kaleb Ruscitti + for assisting with hardware testing and to Sainath Motlakunta and + Nikhil Kotibhaskar for providing valuable feedback on the package.

    +

    We acknowledge financial support from the Natural Sciences and + Engineering Research Council of Canada (NSERC) Discovery program + (RGPIN-2018-05250) and the Institute for Quantum Computing for this + work.

    +
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100644 joss.06315/10.21105.joss.06315.crossref.xml diff --git a/joss.06315/10.21105.joss.06315.crossref.xml b/joss.06315/10.21105.joss.06315.crossref.xml new file mode 100644 index 0000000000..71fbec0b60 --- /dev/null +++ b/joss.06315/10.21105.joss.06315.crossref.xml @@ -0,0 +1,398 @@ + + + + 20241109231254-87e77e4be7a19660f2ed03940144ed7b94615c66 + 20241109231254 + + JOSS Admin + admin@theoj.org + + The Open Journal + + + + + Journal of Open Source Software + JOSS + 2475-9066 + + 10.21105/joss + https://joss.theoj.org + + + + + 11 + 2024 + + + 9 + + 103 + + + + pySLM2: A full-stack python package for holographic +beam shaping + + + + Chung-You + Shih + + Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, 200 University Ave. West, Waterloo, Ontario N2L 3G1, Canada + + https://orcid.org/0000-0002-7561-6833 + + + Jingwen + Zhu + + Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, 200 University Ave. West, Waterloo, Ontario N2L 3G1, Canada + + https://orcid.org/0009-0009-0699-8258 + + + Rajibul + Islam + + Institute for Quantum Computing and Department of Physics and Astronomy, University of Waterloo, 200 University Ave. West, Waterloo, Ontario N2L 3G1, Canada + + https://orcid.org/0000-0002-6483-8932 + + + + 11 + 09 + 2024 + + + 6315 + + + 10.21105/joss.06315 + + + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + http://creativecommons.org/licenses/by/4.0/ + + + + Software archive + 10.5281/zenodo.14025566 + + + GitHub review issue + https://github.com/openjournals/joss-reviews/issues/6315 + + + + 10.21105/joss.06315 + https://joss.theoj.org/papers/10.21105/joss.06315 + + + https://joss.theoj.org/papers/10.21105/joss.06315.pdf + + + + + + Reprogrammable and high-precision holographic +optical addressing of trapped ions for scalable quantum +control + Shih + npj Quantum Information + 1 + 7 + 10.1038/s41534-021-00396-0 + 2021 + Shih, 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