We use a wavefront coding approach to control thermal defocus aberration in an IR imaging system. The design method of athermalized system using a wavefront coding technique is discussed. An athermalized long wave IR optical system, which works at temperatures ranging from -40 °C to 60 °C, is designed by employing a cubic phase mask. Computer simulations and the first experimental demonstration are executed to verify the performance of this wavefront coded athermalized system and to clarify the issues related to its implementation.

Foveated imaging, such as that evolved by biological systems to provide high angular resolution with a reduced space-bandwidth product, also offers advantages for manmade task-specific imaging. Foveated imaging systems using exclusively optical distortion are complex, bulky, and high cost, however. We demonstrate foveated imaging using a planar array of identical cameras combined with a prism array and superresolution reconstruction of a mosaicked image with a foveal variation in angular resolution of 5.9:1 and a quadrupling of the field of view. The combination of low-cost, mass-produced cameras and optics with computational image recovery offers enhanced capability of achieving large foveal ratios from compact, low-cost imaging systems. Conventional approaches to imaging typically aim for an approximately uniform spatial sampling frequency across the field of view, but for many applications, such as targeting, the salient requirement is for high-resolution imaging within a central, so-called foveal region of the image combined with a lowresolution periphery providing situational awareness and context. Foveated imaging offers more efficient use of a limited number of detector pixels or can be implemented as an image processing technique applied to conventional images to improve the efficiency of information transmission. Here our emphasis is to attain a large ratio between the spatial sampling frequency and image acuity for the central field of view (FOV) and a reduced sampling frequency at larger field angles. This mimics biological systems, such as the human visual system, where foveated imaging is associated with a variation in photoreceptor packing density that approximately mirrors the angular variation in the optical resolution of the eye.Imaging systems with a variation in magnification of up to a factor of 2 between a central FOV and the periphery (the foveal ratio) have been demonstrated using conventional optical approaches, but higher ratios require dramatic increases in optical complexity. Higher foveal ratios are attractive for a wide range of applications [1][2][3][4][5][6], and previous approaches include the use of multiresolution systems using single [1] or multiple sensors [2][3][4] and applications in microscopy [5,6]. In this Letter we report an experimental demonstration of computational construction of a foveated image using a multicamera array. Two mechanisms contribute to the high foveal ratio of 5.9:1 between the angular sampling frequency in the foveal and peripheral regions of the image: image distortion introduced by an array of prisms located in front of the camera array introduces nonuniform angular sampling by the sensor, and overlap of the field of regard of the cameras at the central FOV enables digital superresolution to increase the angular sampling rate at foveal regions. The use of mass-produced cameras and simple prisms enables high-performance foveated imaging at minimal cost.A 5 × 5 multicamera array is assembled on a single printed circuit board, with the relatively low ...

Wavefront coding as an optical-digital hybrid imaging technique can be used to extend the depth of field. The key to wavefront coding lies in the design of suitable phase masks to achieve the invariant imaging properties over a wide range of defocus. In this Letter, we propose another phase mask with a tangent function to enrich the odd symmetrical kind of phase masks. The performance of the tangent phase mask is evaluated by comparison with a cubic mask, improved-1 logarithmic mask, improved-2 logarithmic mask, and sinusoidal mask. The results demonstrate that the tangent phase mask has superior performance in extending the depth of field.