Page 257 - Optofluidics Fundamentals, Devices, and Applications
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Bio-Inspir ed Fluidic Lenses for Imaging and Integrated Optics   231


                  The simplest nonimaging opto-fluidic lens takes the form of a
               modified waveguide. The end facet(s) will be curved to yield a focus-
               ing or defocusing effect. By controlling the curvature, the refractive
               index difference, and the dispersion of the substrate and the optical
               fluid, the effective focal length can be tailored to suit the needs of the
               system. Glebov et al. have created arrays of such curved waveguide
               facets in conjunction with index-matching fluid for use in dense
               wavelength division multiplexing (DWDM) networks, where arrayed
               beam collimation and focusing is required [81].
                  While such curved-facet waveguides provide the ability to add
               some light beam manipulation into planar optical designs, their capa-
               bilities can be rather limited, compromising the performance of many
               miniaturized systems relative to their macro counterparts. The lens
               positions and lens power have been restricted by the location and
               dimensions of the waveguide ends. A more fully functional miniatur-
               ized analog to a benchtop optical system would include “freestand-
               ing” lenses that can be any aperture size or any curvature needed,
               and can further be positioned at any location needed to  create the
               desired system.
                  The “freestanding” fluid-filled two-dimensional lens is an analog
               to the air-pocket lens, allowing freely positionable lenses with the
               further ability to choose the refractive index difference and the lens
               dispersion qualities. These benefits, offered by the use of fluid, allow
               lens power and chromatic dispersion to be chosen by design. Filling
               is readily accomplished via capillary action or with the aid of a vac-
               uum chamber. Two-dimensional fluid-filled optics, such as prisms,
               y-couplers, and lensed waveguide facets, were demonstrated by Kou
               et al. [87] in 2004. Godin et al. demonstrated freestanding fluid-filled
               lenses in 2006 [86,93,94], allowing for systems comprising multiple
               lenses to be realized. Such lenses can readily be designed with highly
               custom profiles, such as aspheric or parabolic curvatures. This pro-
               vides a significant advantage over bulk systems, where creating such
               unique curvatures becomes costly and labor intensive.
                  While the use of lens fluid helps to reduce the refractive index
               difference and thereby reduce reflective losses, the need for optically
               smooth sidewalls nevertheless remains. For mold-replicated devices,
               smooth sidewalls start with a smooth mold. Smoother molds can be
               obtained by using improved etching techniques, such as cryogenic
               etching, or improved photolithography processes (when creating
               polymer-based molds). Etched molds allow for post-etch smoothing
               processes, such as anisotropic wet etching [82]. To keep improving the
               performance of two-dimensional optical systems, increasing attention
               needs to be paid to sidewall smoothness.
                  Two-dimensional optics lack the ability to contain and control
               light in one dimension, generally out of the plane of the chip or
               device. For very short optical paths, vertical losses may not be cata-
               strophic for some applications. For applications such as optical
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