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on-chip waveguides, passive components
        for mode conversion and beam-splitting,
        and diffraction-based grating couplers to
        fan out and deliver light to many ions in an
        array. For most ion species, several specific
        wavelengths of light are required, spanning
        the optical spectrum from UV through the
        visible to the near infrared. See Figure 1 for
        a depiction and realization of this concept.
          A particular recent demonstration [4]
        enabled delivery of all the optical frequencies
        required for control of a Sr+ qubit, a
        range extending from 405nm to 1092nm.
        The  packaging challenge in this situation   Figure 2: Using emission pattern of light from the fiber array to aid in alignment to the PIC chip: a) (left) Using
        is the delivery of all these wavelengths   two colors to identify the roll of fiber array (foreground) relative to the chip; and b) (right) Interference pattern
        from  actively power-, temperature-, and   vs. vertical displacement of the fiber array relative to the chip (side view).
        frequency-stabilized laser systems to PICs   symmetric circular mode of the optical   on the photonic chip. The tolerance of this
        on ion-trap chips inside a vacuum chamber.   fiber, increasing the overlap of the modes   alignment is limited by the concentricity of
        Further complicating the task is the typical   and maximizing input coupling, however,   the fiber cores relative to the outer edge of the
        requirement for either cryogenic operation   specialized fabrication processes are required   cladding, typically on the order of 1µm. Such
        or a high-temperature bake of the chamber   in this case.             an uncertainty in position can lead to a couple
        in order to achieve UHV. Robust and precise   In order to couple multiple different   decibels of coupling loss for wavelengths
        fiber optic coupling to PIC waveguides under   wavelengths of light into separate   toward the blue end of the spectrum.
        these conditions requires a novel approach in   waveguides, a V-groove fiber array is used. A   Precise alignment of the fiber array
        methods and materials.             fiber array can hold many optical fibers (~10)   angular orientation with respect to the PIC
                                           in a tight array to enable their simultaneous   chip is often the most tedious and difficult
        Approach                           alignment to a corresponding array of input   step after initial alignment of a single fiber
          Our approach builds upon standard   couplers within a photonic circuit. Fiber   within the array to a single-input inverse-
        edge-coupling techniques where a fiber is   arrays are often made from a roughly 5mm   tapered waveguide. This is because the
        brought up the edge of the PIC and aligned   by 10mm block of quartz or silicon that is   degrees of freedom are generally coupled if
        to waveguides within the chip. Coupling via   machined or etched with regular V-grooves   the fiber array does not pivot precisely at its
        an edge facet leaves the top surface of the   at a pitch of 127µm – equivalent to the   center.  Adjusting the roll can then change the
        trap chip free of adhesives and insulating   single-mode optical fiber diameter – so that   height (z) and require walking both in small
        bulk  materials (e.g., fiber or fiber arrays).   all of the cores of the individual fibers are   steps to maximize coupling.
        The abutting fiber(s) can either make direct   in a straight line (within ~1µm) and they are   An effective method to align the entire
        contact to the interface or stand off a few   packed as tightly as possible. The fibers are   fiber array utilizes the interference pattern
        microns to avoid buckling or sliding during   epoxied into place and a matching cap is   created by the light from the fiber grazing
        thermal expansion/contraction. The chip   placed on top of the fibers to protect them.   the surface of the PIC as shown in Figure
        facet is typically prepared with either optical   The input facet is often polished as well,   2. (This is straightforward to observe when
        polishing or a deep silicon substrate etch.  either flat, or with a chamfer.  using visible light.) As a fiber is brought
          Coupling efficiency is limited by the   Aligning a fiber array requires precise   down  to the surface of the chip, the light will
        optical mode overlap between the waveguide   control of all degrees of freedom of the   start to reflect off the surface and create an
        and the optical fiber. Waveguides optimized   orientation of the fiber array with respect to   interference pattern that starts with a dense
        for routing within the PIC tightly confine   the PIC. One strategy for alignment is to use   pattern because of the larger path length
        the mode to a size similar to the wavelength;   a loop-back waveguide, from one fiber input   difference from the larger angle of reflection
        this mode would typically have poor overlap   to another, within the photonic circuit. Using   off the surface. As the fiber is lowered,
        with the larger 3-4µm optical mode of single-  the  loop-back, one can align the first fiber   the angle decreases, the difference in path
        mode fiber. To improve mode matching (and   in the array to the first input coupler in the   length decreases, and the number of fringes
        therefore transmission) between the fiber   photonic chip. Then one can rotate the fiber   decreases until the fiber is at the surface and
        and waveguide, the mode of the waveguide   array until transmission through the loop-  there is only a single “fringe.”
        is expanded by tapering down its width as it   back and into the last fiber in the fiber array   By extending the above idea to a fiber
        approaches the edge of the chip. This causes   is maximized. This rotation about the axis of   array, we can quickly and precisely align
        the optical mode to expand as it becomes less   cylindrical symmetry of the fibers is referred   the roll of the fiber array by matching the
        confined, but it remains pinned by the narrow   to as the “roll.” The other rotational axes,   interference pattern created by the first
        waveguide, now acting more like a core of   pitch and yaw, are partially constrained by the   and last fibers in the array. Using different
        an optical fiber. The waveguide can also   face of the PIC itself and are therefore easier   wavelengths can make it easier to distinguish
        be tapered vertically so that the waveguide   to align. Once the loop-back is optimized,   the two interference patterns, but then the
        height is reduced near the edge of the chip,   all of the intermediate fibers within the array   ratio of the wavelengths must be taken into
        and the  mode, therefore, also expands   are aligned as well because of the fixed   account when matching the interference
        vertically. This can help further match the   pitch of the array and of the input couplers   pattern because a shorter wavelength will


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