A new 3D focal control system composed of arrayed optofluidic prisms is presented. Through dynamic control of the fluid-fluid interface via electrowetting, incoming rays are spatially steered to achieve 3D focal control. Analytical study identifies the prism angle required to obtain a focal point at Pfocal = (fx, fy, fz) located in 3D space. Experimentally, an arrayed system has demonstrated its 3D focal tunability along 0 ≤ fx ≤ 30, 0 ≤ fy ≤ 30, and 500 ≤ fz ≤ ∞ in millimeters. This new lens capability for 3D focal control can be potentially used for tracking eye movement for smart displays, or solar tracking for smart compact concentrated photovoltaic systems.
more »
« less
An arrayed optofluidic system for three-dimensional (3D) focal control via electrowetting
A new lens capability for three-dimensional (3D) focal control is presented using an optofluidic system consisting ofn × narrayed liquid prisms. Each prism module contains two immiscible liquids in a rectangular cuvette. Using the electrowetting effect, the shape of the fluidic interface can be rapidly adjusted to create its straight profile with the prism’s apex angle. Consequently, an incoming ray is steered at the tilted interface due to the refractive index difference between two liquids. To achieve 3D focal control, individual prisms in the arrayed system are simultaneously modulated, allowing incoming light rays to be spatially manipulated and converged on a focal point located atPfocal(fx,fy,fz) in 3D space. Analytical studies were conducted to precisely predict the prism operation required for 3D focal control. Using three liquid prisms positioned on thex-,y-, and 45°-diagonal axes, we experimentally demonstrated 3D focal tunability of the arrayed optofluidic system, achieving focal tuning along lateral, longitudinal, and axial directions as wide as 0 ≤ fx ≤ 30 mm, 0 ≤ fy ≤ 30 mm, and 500 mm ≤ fz ≤ ∞. This focal tunability of the arrayed system allows for 3D control of the lens’s focusing power, which could not be attained by solid-type optics without the use of bulky and complex mechanical moving components. This innovative lens capability for 3D focal control has potential applications in eye-movement tracking for smart displays, autofocusing of smartphone cameras, or solar tracking for smart photovoltaic systems.
more »
« less
- Award ID(s):
- 2046134
- PAR ID:
- 10491122
- Publisher / Repository:
- OPTICA
- Date Published:
- Journal Name:
- Optics Express
- Volume:
- 31
- Issue:
- 11
- ISSN:
- 1094-4087
- Page Range / eLocation ID:
- 17677
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
More Like this
-
-
This Letter presents a novel, to the best of our knowledge, method to calibrate multi-focus microscopic structured-light three-dimensional (3D) imaging systems with an electrically adjustable camera focal length. We first leverage the conventional method to calibrate the system with a reference focal lengthf0. Then we calibrate the system with other discrete focal lengthsfiby determining virtual features on a reconstructed white plane usingf0. Finally, we fit the polynomial function model using the discrete calibration results forfi. Experimental results demonstrate that our proposed method can calibrate the system consistently and accurately.more » « less
-
A conventional optical lens can enhance lateral resolution in optical coherence tomography (OCT) by focusing the input light onto the sample. However, the typical Gaussian beam profile of such a lens will impose a tradeoff between the depth of focus (DOF) and the lateral resolution. The lateral resolution is often compromised to achieve amm-scale DOF. We have experimentally shown that using a cascade system of an ultrasonic virtual tunable optical waveguide (UVTOW) and a short focal-length lens can provide a large DOF without severely compromising the lateral resolution compared to an external lens with the same effective focal length. In addition, leveraging the reconfigurability of UVTOW, we show that the focal length of the cascade system can be tuned without the need for mechanical translation of the optical lens. We compare the performance of the cascade system with a conventional optical lens to demonstrate enhanced DOF without compromising the lateral resolution as well as reconfigurability of UVTOW for OCT imaging.more » « less
-
At temperaturesTmuch lower than its superconducting critical temperatureTc= 2.1 K, the heavy fermion superconductor UTe2has a unique phase diagram of magnetic fieldHvs. φ and θ, anglesHis tilted from theb-axis toward thea- andc-axes, respectively, of its orthorhombic unit cell. The phase diagram contains three distinct superconducting phases: SC1in which φ and θ extend from 0 to 90° andH≤ ~15 T; SC2for φ ≤ ~7°, θ ≤ ~4° and ~15 T ≤H≤Hm= ~35 T, the onset of the magnetic field polarized (FP) phase, and SCFPwhich resides entirely within the FP phase in a pocket of superconductivity extending from θ ≈ 20° to 40° and from ~40 T to above 60 T. We studied the evolution of theHvs. θ phase diagram for Th concentrations 0.005 ≤x≤ 0.047 in the U1-xThxTe2system at ~0.6 K. Within this range ofxvalues, SC1extends over 0 ≤ θ ≤ 90° andH≤ ~10 T forx= 0.047, while SC2is suppressed. The SCFPand FP phases are unaffected tox= 0.02 but are completely suppressed in the regionx= 0.025 to 0.047 where the residual resistance ratioRRR~3 indicates a significant amount of disorder. These results complement recent studies of nonsuperconducting disordered UTe2single crystals in which the SC1and SC2phases are absent, but the FP and so-called “orphan” SCFPphases are retained.more » « less
-
We propose a novel framework for statistical estimation on noisy datasets. Within this framework, we focus on the frequency moments (Fp) problem and demonstrate that it is possible to approximateFpof the unknown ground-truth dataset using sublinear space in the data stream model and sublinear communication in the coordinator model, provided that the approximation ratio is parameterized by a data-dependent quantity, which we call theFp-mismatch-ambiguity. We also establish a set of lower bounds, which are tight in terms of the input size. Our results yield several interesting insights:-In the data stream model, theFpproblem is inherently more difficult in the noisy setting than in the noiseless one. In particular, whileF2can be approximated in logarithmic space in terms of the input size in the noiseless setting, any algorithm forF2in the noisy setting requires polynomial space. -In the coordinator model, in sharp contrast to the noiseless case, achieving polylogarithmic communication in the input size is generally impossible forFpunder noise. However, when theFpmismatch ambiguity falls below a certain threshold, it becomes possible to achieve communication that is entirely independent of the input size.more » « less
An official website of the United States government

