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Linear processes are defined as a discrete-time convolution between a kernel and an infinite sequence of i.i.d. random variables. We modify this convolution by introducing decimation, that is, by stretching time accordingly. We then…

Statistics Theory · Mathematics 2008-12-18 François Roueff , Murad S. Taqqu

Limit periodic point sets are aperiodic structures with pure point diffraction supported on a countably, but not finitely generated Fourier module that is based on a lattice and certain integer multiples of it. Examples are cut and project…

Mathematical Physics · Physics 2019-07-16 Michael Baake , Uwe Grimm

Slow light propagation is an important phenomenon in quantum optics. Here, we theoretically study the properties of slow light in a simple optomechanical system considering an effect of non-rotating wave approximation (NRWA) that was…

Quantum Physics · Physics 2021-02-23 Xiao-Bo Yan

We present a new measurement principle to determine the absolute time delay of a waveform from an optical reference plane to an electrical reference plane and vice versa. We demonstrate a method based on this principle with 2 ps…

Optics · Physics 2018-05-28 H. Z. Peek , T. J. Pinkert , P. P. M. Jansweijer , J. C. J. Koelemeij

The intrinsic optical nonlinearities of quasi-one dimensional structures, including conjugated chain polymers and nanowires, are shown to be dramatically enhanced by the judicious placement of a side group or wire of sufficiently short…

Optics · Physics 2023-07-19 Rick Lytel , Sean M. Mossman , Mark G. Kuzyk

Spatial light modulators (SLMs) are central to numerous applications ranging from high-speed displays to adaptive optics, structured illumination microscopy, and holography. After decades of advances, SLM arrays based on liquid crystals can…

Optics · Physics 2019-10-23 Cheng Peng , Ryan Hamerly , Mohammad Soltani , Dirk Englund

Detection of scattered light can determine the susceptibility of dielectrics. Such imaging normally holds Rayleigh's limit: details finer than the wavelength of the incident light cannot be determined from the far-field zone. We show that…

Quantum Physics · Physics 2025-02-12 Vanik E. Mkrtchian , Hakob S. Avetisyan , Armen E. Allahverdyan

Classical lumped components delay lines are built with inductances and capacitors arranged as to match the standard telegraphist line model to obtain slow group velocity lines. In this paper we demonstrate that a practical way to obtain…

Materials Science · Physics 2016-03-22 Jérôme Lucas , Emmanuem Géron , Thierry Ditchi

We theoretically and experimentally investigate relevant noise processes arising in optical fiber links, which fundamentally limit their relative stability. We derive the unsuppressed delay noise for three configurations of optical links:…

Nanoscale fabrication techniques, computational inverse design, and fields from silicon photonics to metasurface optics are enabling transformative use of an unprecedented number of structural degrees of freedom in nanophotonics. A critical…

Optics · Physics 2023-08-21 Zeyu Kuang

We derive upper bounds to free-space concentration of electromagnetic waves, mapping out the limits to maximum intensity for any spot size and optical beam-shaping device. For sub-diffraction-limited optical beams, our bounds suggest the…

Optics · Physics 2020-07-08 Hyungki Shim , Haejun Chung , Owen D. Miller

Light scattering is one of the most established wave phenomena in optics, lying at the heart of light-matter interactions and of crucial importance for nanophotonic applications. Passivity, causality and energy conservation imply strict…

Optics · Physics 2022-11-23 Seunghwi Kim , Sergey Lepeshov , Alex Krasnok , Andrea Alù

Off-lattice DLA clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation exhibit a dominant slowest correction to scaling, and this…

Statistical Mechanics · Physics 2007-05-23 Robin C. Ball , Neill E. Bowler , Leonard M. Sander , Ellak Somfai

Minimal linear codes are in one-to-one correspondence with special types of blocking sets of projective spaces over a finite field, which are called strong or cutting blocking sets. In this paper we prove an upper bound on the minimal…

Combinatorics · Mathematics 2021-05-18 Tamás Héger , Zoltán Lóránt Nagy

Using a two-photon interference technique, we measure the delay for single-photon wavepackets to be transmitted through a multilayer dielectric mirror, which functions as a ``photonic bandgap'' medium. By varying the angle of incidence, we…

Quantum Physics · Physics 2016-09-08 Aephraim M. Steinberg , Raymond Y. Chiao

Capacity bounds for waveform channels under square-law detection of time-limited complex-valued signals are derived. The upper bound is the capacity of the channel under (complex-valued) coherent detection. The lower bound is one bit less,…

Information Theory · Computer Science 2021-05-31 Amir Tasbihi , Frank R. Kschischang

Nonlinear imaging systems can surpass the limits of linear optics, but to date they have all relied on physical media (e.g. crystals) to work. These materials are all constrained by their physical properties, such as frequency selectivity,…

Optics · Physics 2015-07-31 Jen-Tang Lu , Alexandre S. Goy , Jason W. Fleischer

Unavoidable variations in size and position of the building blocks of photonic crystals cause light scattering and extinction of coherent beams. We present a new model for both 2 and 3-dimensional photonic crystals that relates the…

Optics · Physics 2007-05-23 A. Femius Koenderink , Ad Lagendijk , Willem L. Vos

Quantum speed limits (QSLs) provide an upper bound for the speed of evolution of quantum states in any physical process. Based on the Stratonovich-Weyl correspondence, we derive a universal QSL bound in arbitrary phase spaces that is…

Quantum Physics · Physics 2023-08-25 Weiquan Meng , Zhenyu Xu

Hybrid interfaces between distinct quantum systems play a major role in the implementation of quantum networks. Quantum states have to be stored in memories to synchronize the photon arrival times for entanglement swapping by projective…

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