The assembly of complex structures out of simple colloidal building blocks is of practical interest for building materials with unique optical properties (for example photonic crystals and DNA biosensors) and is of fundamental importance in improving our understanding of self-assembly processes occurring on molecular to macroscopic length scales. Here we demonstrate a self-assembly principle that is capable of organizing a diverse set of colloidal particles into highly reproducible, rotationally symmetric arrangements. The structures are assembled using the magnetostatic interaction between effectively diamagnetic and paramagnetic particles within a magnetized ferrofluid. The resulting multipolar geometries resemble electrostatic charge configurations such as axial quadrupoles ('Saturn rings'), axial octupoles ('flowers'), linear quadrupoles (poles) and mixed multipole arrangements ('two tone'), which represent just a few examples of the type of structure that can be built using this technique.

A new mode of magnetophoresis is described that is capable of separating micron-sized superparamagnetic beads from complex mixtures with high sensitivity to their size and magnetic moment. This separation technique employs a translating periodic potential energy landscape to transport magnetic beads horizontally across a substrate. The potential energy landscape is created by superimposing an external, rotating magnetic field on top of the local fixed magnetic field distribution near a periodic arrangement of micro-magnets. At low driving frequencies of the external field rotation, the beads become locked into the potential energy landscape and move at the same velocity as the traveling magnetic field wave. At frequencies above a critical threshold, defined by the bead's hydrodynamic drag and magnetic moment, the motion of a specific population of magnetic beads becomes uncoupled from the potential energy landscape and its magnetophoretic mobility is dramatically reduced. By exploiting this frequency dependence, highly efficient separation of magnetic beads has been achieved, based on fractional differences in bead diameter and/or their specific attachment to two microorganisms, i.e., B. globigii and S. cerevisiae.

Multiscale designs greatly simplify the large-scale optics needed to realize the resolution of a large aperture. Unlike most monolithic lens systems, multiscale cameras have interdependencies between the optics at various scales. To realize a successful multiscale design, the relationships between microcamera scale and overall camera scale parameters must be understood. Starting with a specification of the multiscale camera, we present a simplified model that allows paraxial optical quantities to be estimated. Based on these quantities, a monocentric objective and a microcamera can be designed. An example of a practical design using spherical glass optics is presented.

Recent investigations into high pixel count imaging using multiscale optics have led to a novel optical design for a wide field, gigapixel camera. We review the mechanical design and optical performance of this imager. Optical designMultiscale lens design is an attempt at severing the inherent connection between geometric aberrations and aperture size that plagues traditional lenses [1]. By taking advantage of the superior imaging capabilities of small scale optics, a multiscale lens can effectively increase its field of view and image size by simply arraying additional optical elements, similar to a lens array. The resulting partial images can then be stitched post processing to create a single image of a large field.The optical design for the wide field gigapixel imager MC0 (Figure 1) utilizes a multiscale design in conjunction with a monocentric objective lens [2] to achieve near diffraction limited performance throughout the field. A monocentric objective enables the use of identical secondary optics (referred to as micro-optics) greatly simplifying design and manufacturing. Following the multiscale lens design methodology, the FOV is increased by arraying additional micro-optics along the focal surface of the objective. In practice, the FOV is limited by the physical housing. The current design has a FOV of ±60º and is optimized for a pixel pitch of around 2 microns. Figure 1. Optical design of gigapixel imager MC0.

This paper presents a design strategy for close-packing circular finite-conjugate optics to create a spherical focal surface. Efficient packing of circles on a sphere is commonly referred to as the Tammes problem and various methods for packing optimization have been investigated, such as iterative point-repulsion simulations. The method for generating the circle distributions proposed here is based on a distorted icosahedral geodesic. This has the advantages of high degrees of symmetry, minimized variations in circle separations, and computationally inexpensive generation of configurations with N circles, where N is the number of vertices on the geodesic. These properties are especially beneficial for making a continuous focal surface and results show that circle packing densities near steady-state maximum values found with other methods can be achieved.