Terahertz imaging with compressed sensing and phase retrieval

Abstract

We describe a novel, high-speed pulsed terahertz (THz) Fourier imaging system based on compressed sensing (CS), a new signal processing theory, which allows image reconstruction with fewer samples than traditionally required. Using CS, we successfully reconstruct a 64 x 64 image of an object with pixel size 1.4 mm using a randomly chosen subset of the 4096 pixels, which defines the image in the Fourier plane, and observe improved reconstruction quality when we apply phase correction. For our chosen image, only about 12% of the pixels are required for reassembling the image. In combination with phase retrieval, our system has the capability to reconstruct images with only a small subset of Fourier amplitude measurements and thus has potential application in THz imaging with cw sources.

Quantum Information with Structured Light

“…This method requires parallel simultaneous measurements performed by a camera for characterizing probability distributions of conjugate variables. In contrast, the exclusive use of single-pixel detectors in our technique provides an alternative to inefficient and costly arrayed detectors for quantum optics [150] and terahertz applications [151]. Additionally, the use of a single-pixel detector is advantageous to parallel multi-pixel measurements in terms of signal-to-noise ratio.…”

Terahertz narrow-band filter based on rectangle photonic crystal

“…Recently, terahertz (THz) technology has attracted a growing attention because of the potential applications such as THz sensing, imaging, and communication [1][2][3][4][5][6][7][8].…”

Wavefront reconstruction in digital off-axis holography via sparse coding of amplitude and absolute phase

“…This allows wavefront reconstruction from undersampled holograms in the terahertz frequency [6][7][8], where it is motivated by an existing need to reduce demanding scans performed by a single-pixel detector. In the visible range CS is applied for various microscopy applications [9,10] and imaging with improved resolution [11].…”