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Today, the realization of large optical interferometer schemes is necessary for many sophisticated information processing algorithms. In this work, we propose a modular interferometer architecture possible when the number of input channels…

Optics · Physics 2018-05-11 M. Yu. Saygin

In order to better understand the variation mechanism of ozone abundance in the middle atmosphere, the simultaneous monitoring of ozone and other minor molecular species, which are related to ozone depletion, is the most fundamental and…

Instrumentation and Methods for Astrophysics · Physics 2020-08-25 Taku Nakajima , Kohei Haratani , Akira Mizuno , Kazuji Suzuki , Takafumi Kojima , Yoshinori Uzawa , Shin'ichiro Asayama , Issei Watanabe

Wavelets are closely related to the Schr\"odinger's wave functions and the interpretation of Born. Similarly to the appearance of atomic orbital, it is proposed to combine anti-symmetric wavelets into orbital wavelets. The proposed approach…

Signal Processing · Electrical Eng. & Systems 2020-10-02 H. M. de Oliveira , V. V. Vermehren , R. J. Cintra

In this paper, we contribute operator-splitting methods improved by the Zassenhaus product for the numerical solution of linear partial differential equations. We address iterative splitting methods, that can be improved by means of the…

Numerical Analysis · Mathematics 2012-04-03 Juergen Geiser

In this article we describe the characteristics of a large integrated linear optical device containing Mach-Zehnder interferometers and describe its potential use as a physically unclonable function. We propose that any tunable…

Cryptography and Security · Computer Science 2020-12-22 A. Matthew Smith , H S. Jacinto

We develop a fast, accurate, and robust technique to model the electromagnetic response of a two-dimensional (2D) waveguide-fed metasurface aperture. The geometry under consideration consists of a parallel-plate waveguide with an array of…

Computational Physics · Physics 2018-08-01 Laura Pulido-Mancera , Mohammadreza F. Imani , Patrick T. Bowen , Nathan Kundtz , David R. Smith

Semiconductor heterostructures with prescribed energy dependence of the transmittance can be designed by combining: {\em a)} Pad\'e approximant reconstruction of the S-matrix; {\em b)} inverse scattering theory for Schro\"dinger's equation;…

Condensed Matter · Physics 2009-10-28 Daniel Bessis , Giorgio Mantica , G. Andrei Mezincescu , Daniel Vrinceanu

We propose a scheme to explore two-photon high-dimensional entanglement associated with a transverse pattern by means of two-photon interference in a beamsplitter. We find that the topological symmetry of the angular spectrum of the…

Quantum Physics · Physics 2009-11-11 Gui-Fang Dang , Li-Ping Deng , Kaige Wang

Manipulating cold atoms in traps is a key tool for numerous realizations of quantum simulators and quantum sensors. They require accurate modeling and characterization of the underlying trapping potentials. We introduce a technique based on…

Quantum Physics · Physics 2026-02-25 Alexander Wolf , Maxim A. Efremov

We study the effect of quantum motion in a Mach-Zehnder interferometer where ultracold, two-level atoms cross a $\pi/2 $-$\pi $-$\pi/2$ configuration of separated, laser illuminated regions. Explicit and exact expressions are obtained for…

Quantum Physics · Physics 2009-11-13 I. Lizuain , S. V. Mousavi , D. Seidel , J. G. Muga

Integrated photonic technologies have recently shown significant advances, enabling the possibility to implement reconfigurable interferometers with increasing size. One of the main tasks to fully exploit the capabilities of reconfigurable…

Quantum Physics · Physics 2026-05-12 Denis Stanev , Nicolò Spagnolo , Fabio Sciarrino

We present a preconditioning method for the multi-dimensional Helmholtz equation with smoothly varying coefficient. The method is based on a frame of functions, that approximately separates components associated with different singular…

Numerical Analysis · Mathematics 2010-10-25 Christiaan C. Stolk

We demonstrate an eight-channel reconfigurable optical filter on a silicon chip consisting of cascaded microring resonators and integrated compact heaters. With an embedded Mach-Zehnder (MZ) arm coupling to a microring resonator, the…

Quaternion wavelets are redundant wavelet transforms generalizing complex-valued non-decimated wavelet transforms. In this paper we propose a matrix-formulation for non-decimated quaternion wavelet transforms and define spectral tools for…

Applications · Statistics 2019-03-05 Taewoon Kong , Brani Vidakovic

The linearization of a microwave photonic link based on a dual-parallel Mach-Zehnder modulator is theoretically described and experimentally demonstrated. Up to four different radio frequency tones are considered in the study, which allow…

We propose a novel class of ultrathin high Q passband filters designed by properly combining different multipolar resonances sustained by an all dielectric metasurface. A rigorous analytical model, based on surface impedance homogenization…

Applied Physics · Physics 2021-08-16 Alessio Monti , Andrea Alù , Alessandro Toscano , Filiberto Bilotti

We experimentally demonstrate that the spectral sensitivity of a Mach-Zehnder (MZ) interferometer can be enhanced through structural slow light. We observe a 20 times enhancement by placing a dispersion-engineered-slow-light…

New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown that the transfer function of both multiresolution filters is…

Classical Analysis and ODEs · Mathematics 2015-04-24 M. M. S. Lira , H. M. de Oliveira , R. J. Cintra , R. M. Campello de Souza

Two optical fiber Mach-Zehnder interferometers were constructed in an environment with a temperature stabilization of better than 1 mK per day. One interferometer with a length of 2 m optical fiber in each arm with the main direction of the…

Classical Physics · Physics 2015-05-14 Victor de Haan

This note introduces a new family of wavelets and a multiresolution analysis, which exploits the relationship between analysing filters and Floquet's solution of Mathieu differential equations. The transfer function of both the detail and…

Methodology · Statistics 2015-01-29 M. M. S. Lira , H. M. de Oliveira , R. J. Cintra