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The technique of transformation optics (TO) is an elegant method for the design of electromagnetic media with tailored optical properties. In this paper, we focus on the formal structure of TO theory. By using a complete covariant…

Optics · Physics 2015-05-30 Oliver Paul , Marco Rahm

Applications of Integrated Optics to quantum sources, detectors, interfaces, memories and linear optical quantum computing are described in this review. By their inherent compactness, efficiencies, and interconnectability, many of the…

We show that a laser pulse can always be found that induces a desired optical response from an arbitrary dynamical system. As illustrations, driving fields are computed to induce the same optical response from a variety of distinct systems…

Quantum Physics · Physics 2017-03-02 Andre G. Campos , Denys I. Bondar , Renan Cabrera , Herschel Rabitz

The paper gives an overview of the particle dynamics in synchrotrons and storage rings. Both, transverse as well as the longitudinal plane are described in linear approximation. The main emphasis is to give an introduction into the basic…

Accelerator Physics · Physics 2018-04-25 Bernhard Holzer

We show that every linear optical component can be completely described as a device that converts one set of orthogonal input modes, one by one, to a matching set of orthogonal output modes. This result holds for any linear optical…

Optics · Physics 2015-06-11 David A. B. Miller

Throughout all years of study, students of physics are confronted with the question 'what exactly is light?' - a question that is impossible to answer correctly and, therefore, continuously discussed within the framework of models. Numerous…

Physics Education · Physics 2007-05-23 Martin Erik Horn , Antje Leisner , Helmut F. Mikelskis

We establish a formal bridge between qubit-based and photonic quantum computing. We do this by defining a functor from the ZX calculus to linear optical circuits. In the process we provide a compositional theory of quantum linear optics…

Quantum Physics · Physics 2023-11-16 Giovanni de Felice , Bob Coecke

The overarching goal of beamline design is to achieve a high brightness electron beam from the beamline. Traditional beamline design studies involved separate optimizations of radio-frequency cavities, magnets, and beam dynamics using…

Accelerator Physics · Physics 2023-11-17 Gongxiaohui Chen , Tyler H. Chang , John Power , Chungunag Jing

We present an elementary, symmetry-first derivation of the Lorentz transformation together with a methodological clarification of the linearity step. Starting from the Principle of Relativity, supplemented by spacetime homogeneity,…

Classical Physics · Physics 2026-05-26 Nianjun Tan

The interaction of the two beams in a collider leads to a variety of effects that may limit the performance of the machine. This lecture introduces the basic aspects necessary to understand the design of modern colliders.

Accelerator Physics · Physics 2025-10-17 Xavier Buffat

These lecture notes provide an introduction to the theory and application of symmetry methods for ordinary differential equations, building on minimal prerequisites. Their primary purpose is to enable a quick and self-contained approach for…

Classical Analysis and ODEs · Mathematics 2023-04-03 Sebastian Walcher

Optics and lenses are abstract categorical gadgets that model systems with bidirectional data flow. In this paper we observe that the denotational definition of optics - identifying two optics as equivalent by observing their behaviour from…

Category Theory · Mathematics 2022-09-21 Bruno Gavranović

This thesis is mainly devoted to the study of the quantum properties of optical parametric oscillators (OPOs), which are nowadays the sources of the highest-quality quantum-correlated light, apart from fundamental tools in the…

Quantum Physics · Physics 2015-04-23 Carlos Navarrete-Benlloch

These lecture notes give an introduction to the theory of interacting particle systems. The main subjects are the construction using generators and graphical representations, the mean field limit, stochastic order, duality, and the relation…

Probability · Mathematics 2025-11-10 Jan M. Swart

This is the first of several monographs to be devoted to the optics of accelerated systems. They are being published for the benefit of those who may wish to have another way of looking at kineoptical problems, and also to demonstrate that…

Optics · Physics 2007-05-23 A. I. A. Adewole

Fundamental limitations in accelerator gradient, emittance, alignment and polarization in acceleration schemes are considered in application for novel schemes of acceleration, including laser-plasma and structure-based schemes. Problems for…

Accelerator Physics · Physics 2014-11-26 A. A. Mikhailichenko

The subject of optomechanics involves interactions between optical and mechanical degrees of freedom, and is currently of great interest as an enabler of fundamental investigations in quantum mechanics, as well as a platform for…

Quantum Physics · Physics 2016-08-03 Hao Shi , Mishkat Bhattacharya

Linear optics is a promising route to building quantum technologies that operate at room temperature and can be manufactured scalably on integrated photonic platforms. However, scaling up linear optics requires high-performance operation…

Unitary transformations are routinely modeled and implemented in the field of quantum optics. In contrast, nonunitary transformations that can involve loss and gain require a different approach. In this theory work, we present a universal…

Quantum Physics · Physics 2018-04-17 Nora Tischler , Carsten Rockstuhl , Karolina Słowik

Ontologies are key enablers for sharing precise and machine-understandable semantics among different applications and parties. Yet, for ontologies to meet these expectations, their quality must be of a good standard. The quality of an…

Artificial Intelligence · Computer Science 2012-07-13 Mutaz M. Al-Debei , Mohammad Mourhaf Al Asswad , Sergio de Cesare , Mark Lycett