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We consider how transformation optics and invisibility cloaking can be used to construct models in subsets $\mathbb{R}^3$ with a varying metric, where the time-harmonic waves for a given angular wavenumber $k$, are equivalent to the waves…

Analysis of PDEs · Mathematics 2021-03-26 Tracey Balehowsky , Matti Lassas , Pekka Pankka , Ville Sirviö

We introduce a class of optical media based on adiabatically modulated, dielectric-only, and potentially extremely low-loss, photonic crystals. The media we describe represent a generalization of the eikonal limit of transformation optics…

Optics · Physics 2010-11-22 Yaroslav A. Urzhumov , David R. Smith

Exploring quantum physics in macroscopic systems and manipulating these systems for various technological applications has been a topic of intense research in the last one decade or so. In this regard, the field of cavity quantum…

Quantum Physics · Physics 2022-11-07 Amarendra K. Sarma , Sampreet Kalita

Cavities, because they trap waves for long times due to their reflecting walls, are used in a vast number of scientific domains. Indeed, in these closed media and due to interferences, the free space continuum of solutions becomes a…

Analysis of PDEs · Mathematics 2018-05-01 Habib Ammari , Kthim Imeri , Wei Wu

We study the resonant modes in double-layered transformation cavities consisting of inner and outer layer boundaries where the mode intensity is mainly located inside the inner layer. This is an intermediate design between a transformation…

Optics · Physics 2022-04-06 Jung-Wan Ryu

Nonlinear optics underpins quantum photonics by enabling the generation and control of quantum states of light. We present new applications of optical resonators as mode selectors in nonlinear processes. First, we show that cavity-enhanced…

Quantum Physics · Physics 2025-10-02 Xin Chen

We show that the powerful framework of transformation optics may be exploited for engineering the nonlocal response of artificial electromagnetic materials. Relying on the form-invariant properties of coordinate-transformed Maxwell's…

Optics · Physics 2015-06-03 Giuseppe Castaldi , Vincenzo Galdi , Andrea Alu' , Nader Engheta

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

Optical cavities operating in the near-concentric regime are the fundamental tools to perform high precision experiments like cavity QED applications. A strong focusing regime unfortunately is prone to excite higher-order modes.…

The concentration of electromagnetic waves (EM) is of utmost importance in many engineering applications such as solar-cells. According to the transformation optics (TO) methodology, a feasible approach for obtaining arbitrary shape…

Optics · Physics 2020-02-19 Ali Abdolali , Hooman Barati Sedeh , Mohammad Hosein Fakheri

One of the bottlenecks that limit the transition of transformation-optics devices from concepts to practical use is the non-unit magnetic permeability generally required from a mathematical transformation. Simple renormalization of…

Optics · Physics 2012-04-17 Hongyi Xu , Baile Zhang , Tianyuan Yu , George Barbastathis , Handong Sun

We present a novel theoretical approach for modeling the resonant properties of transmission through subwavelength apertures penetrating metal films. We show that cavity mode theory applies to an effective resonant cavity whose dimensions…

Optics · Physics 2013-10-23 Eli Lansey , Isroel M. Mandel , Jonah N. Gollub , David T. Crouse

The coordinate transformation on the space that contains electromagnetic sources is studied. We find that, not only the permittivity and permeability tensors of the media, but also the sources inside the media will take another form in…

Optics · Physics 2009-11-13 Yu Luo , Jingjing Zhang , Lixin Ran , Hongsheng Chen , Jin Au Kong

Previous formulations of transformation optics have generally been restricted to transformations from relatively simple initial media, such as the vacuum, because of limitations due to their non-covariance. I show that a completely…

Optics · Physics 2010-11-04 Robert T. Thompson

Optical cavities are widely used to enhance the interaction between atoms and light. Typical designs using a geometrically symmetric structure in the near-concentric regime face a tradeoff between mechanical stability and high single-atom…

Transformation optics is a powerful tool to design various novel devices, such as invisibility cloak. Fantastic effects from this technique are usually accompanied with singular mappings, resulting in challenging implementations and narrow…

Optics · Physics 2016-02-08 M. M. Sadeghi , Sucheng Li , Lin Xu , Bo Hou , Huanyang Chen

When light and matter interact strongly, the resulting hybrid system inherits properties from both constituents, allowing one to modify material behavior by engineering the surrounding electromagnetic environment. This concept underlies the…

We investigate the conditions yielding plasmon-exciton strong coupling at the single emitter level in the gap between two metal nanoparticles. A quasi-analytical transformation optics approach is developed that makes possible a thorough…

Mesoscale and Nanoscale Physics · Physics 2016-09-07 Rui-Qi Li , D. Hernangómez-Pérez , F. J. García-Vidal , A. I. Fernández-Domínguez

We theoretically study a cavity filled with atoms, which provides the optical-mechanical interaction between the modified cavity photonic field and a movable mirror at one end. We show that the cavity field ``dresses'' these atoms,…

Quantum Physics · Physics 2009-02-16 H. Ian , Z. R. Gong , Yu-xi Liu , C. P. Sun , Franco Nori

Radiation-matter hybridization allows atoms to serve as mediators of effective interactions between light modes and, conversely, to interact among themselves via light. Here we exploit the spatial structure of atomic ensembles to control…

Quantum Physics · Physics 2026-05-06 Carlos E. Máximo , Romain Bachelard , Tobias Donner