Plenoptic imaging systems with a microlens array imaging the pupil at the sensor typically produce low resolution images. We introduce an inverse problem solver using the system response to obtain high resolution image reconstructions. OCIS codes: (070.0070) Fourier optics and signal processing, (110.1758) Computational imaging, (100.1830) Deconvolution, (100.3010), Image reconstruction techniq...

§1.1. The method of characteristics §1.2. Examples of propagation of singularities using progressing waves §1.3. Group velocity and the method of nonstationary phase §1.4. Fourier synthesis and rectilinear propagation §1.5. A cautionary example in geometric optics §1.6. The law of reflection §1.6.1. The method of images §1.6.2. The plane wave derivation §1.6.3. Reflected high frequency wave pac...

A Fourier optics analysis for a recently developed lateral shearing interferometry-coherent gradient sensing-is presented. The governing equations for the method are explicitly derived. The method of coherent gradient sensing is particularly suitable for investigating the mechanics of fracture of transparent and opaque solids. Several examples demonstrating the applicability of the method to qu...

The depth of field of real/virtual and focused mode in three-dimensional integral imaging is taken into account by using the Fourier optics approach and considering the effects of diffraction and defocus aberration. The concepts of point spread function and optical transfer function are applied to three-dimensional integral imaging system and used to investigate the depth of field for both modes.

We describe a computationally-efficient approach to approximate the end-to-end MSE merit function for evaluating and optimizing digital-optical imaging systems based on interpolation. We use commercial lens design software to verify the approach. c © 2009 Optical Society of America OCIS codes: (110.1758) Computational Imaging, (000.4430) Numerical Approximation and Analysis, (070.0070) Fourier ...

Inverse elastic-wave scattering problems are shown to be ill-posed in general. Standard simplifying assumptions--the first Born approximation, the physical optics approximation, and the stopping power approximation of tomography--are shown to reduce to the same ill-posed mathematical problem, that of inverting a Fourier transform. Practical implications of this fact are illustrated with examples.

We experimentally demonstrate an 8 × 40 Gb/s all-optical coherent-OFDM system using an on-chip 1 × 8 Fourier-transform based on a modified arrayed-waveguide grating router, showing simultaneous receiving of 8 subcarriers with similar signal qualities. OCIS codes: (060.2330) Fiber optics communications; (060.1660) Coherent communications; (060.4230) Multiplexing; (080.1238) Array waveguide devic...

We review traditions and trends in optics and imaging recently arising by applying programmable optical devices or by sophisticated approaches for data evaluation and image reconstruction. Furthermore, a short overview is given about modeling of well-known classical optical elements, and vice versa, about optical realizations of classical mathematical transforms, as in particular Fourier, Hilbe...

The fractional Fourier transform (FrFT) is used for the solution of the diffraction integral in optics. A scanning approach is proposed for finding the optimal FrFT order. In this way, the process of diffraction computing is speeded up. The basic algorithm and the intermediate results at each stage are demonstrated.

We prove computability and complexity results for an original model of computation. Our model is inspired by the theory of Fourier optics. We prove our model can simulate analog recurrent neural networks, thus establishing a lower bound on its computational power. We also prove some computational complexity results for searching and sorting algorithms expressed with our model.