Miniaturization is a strong demand of modern scientific technology. However, conventional optical components based on refraction suffer from functional degradation as the device size decreases. Metasurfaces consisting of subwavelength optical antenna arrays have emerged as planar optical devices that enable many promising applications in lenses, holograms, and optical cloaks. During recent decades, metasurfaces have been developed for their specific functionalities by exploiting new materials and design algorithms. In this issue of MRS Bulletin, progress in metasurfaces is discussed to provide a comprehensive understanding of metasurfaces and their novel applications in optics and photonics.

As plasmonic materials transition from three-dimensional to two-dimensional (2D) form, unique optical and electronic phenomena arise that are unattainable in bulk materials and conventional thin films. Exceptional sensitivity to external perturbations, including electrical biasing and optical excitation as well as quantum effects, are expected to emerge, as has been demonstrated in graphene. Similarly, metallic or plasmonic films with thicknesses down to a few monolayers, called transdimensional materials (TDMs), are predicted to exhibit remarkably strong tunability of their optical response. The unique properties of 2D materials and TDMs have established them as promising platforms for dynamic nanophotonic devices. While novel 2D materials have been widely explored for nanophotonic devices, until recently, there have been minimal studies on the evolution of the optical properties of plasmonic TDMs. In this article, we highlight progress in exploring the thickness-dependent optical response of plasmonic materials as they approach the 2D regime. Experimental and theoretical investigations of the plasmonic properties of 2D materials, such as graphene and tungsten diselenide, TDMs, and plasmonic thin films, are discussed, with a focus on prospects for their utilization in dynamically tunable flat optical devices or metasurfaces.

Metasurfaces are thin-film electromagnetic devices with subwavelength-scale geometric structuring. They can be tailored to produce a broad range of optical functions due to the strong relationship between electromagnetic response and geometric shape. An open challenge has been understanding how to produce an ideal metasurface design when presented with a desired electromagnetic response. This article discusses the use of topology optimization as a design platform for high-performance, freeform metasurfaces. Two types of topology optimizers are covered—local gradient-based optimizers that leverage the adjoint variables method, and global population-based optimizers that reframe the optimization process as the training of a generative neural network. It is anticipated that these inverse design concepts will push metasurface performance to the physical limits of structured media and enable new functionalities in electromagnetic systems.

The development of optical elements has seen tremendous advances over the last few decades for a variety of applications, including displays, cameras, and microscopes. Various optical elements have been developed, ranging from refractive elements to diffractive elements. In recent years, metasurfaces have been in the spotlight to develop next-generation optical elements beyond existing refractive or diffractive optics. A metasurface is a two-dimensional metamaterial composed of subwavelength artificial structures and has been studied for the development of optical elements with the major advantage that the properties of light can be freely adjusted by a thin flat structure. Optical lenses using metasurfaces can be hundreds of times thinner than conventional lenses, while at the same time, provide excellent focusing performance. This suggests that they can be applied to mobile and high-performance imaging applications in the future. Here, we discuss developments of optical elements from refractive or diffractive optics to metasurface optics, including basic principles and properties, current issues, and future perspectives.

The field of nonlinear optics is a well-established discipline that relies on macroscopic media and employs propagation distances longer than a wavelength of light. Recent progress with electromagnetic metamaterials has allowed for the expansion of this field into new directions of new phenomena and novel functionalities. In particular, nonlinear effects in thin, artificially structured materials such as metasurfaces do not rely on phase-matching conditions and symmetry-related selection rules of natural materials; they may be substantially enhanced by strong local and collective resonances of fields inside the metasurface nanostructures. Consequently, nonlinear processes may extend beyond simple harmonic generation and spectral broadening due to electronic nonlinearities. This article provides a brief review of basic concepts and recent results in the field of nonlinear optical metasurfaces.

The past decade has witnessed the advent of nanophotonics, where light–matter interaction is shaped, almost at will, with human-made designed nanostructures. However, the design process for these nanostructures has remained complex, often relying on the intuition and expertise of the designer, ultimately limiting the reach and penetration of this groundbreaking approach. Recently, there has been an increasing number of studies in applying machine learning techniques for the design of nanostructures. Most of these studies engage deep learning techniques, which entail training a deep neural network (DNN) to approximate the highly nonlinear function of the underlying physical process of the interaction between light and the nanostructures. At the end of the training, the DNN allows for on-demand design of nanostructures (i.e., the model can infer nanostructure geometries for desired light spectra). In this article, we review previous studies for designing nanostructures, including recent advances where a DNN is trained to generate a two-dimensional image of the designed nanostructure, which is not limited to a closed set of nanostructure shapes, and can be trained for the design of any geometry. This allows for better generalization, with higher applicability for real-world design problems.

Dielectrics are electrical insulator materials, polarizable by opposite displacement of positive and negative ionized atoms via electric fields across the material’s thickness. Dielectrics are used in energy-storage capacitors, as key components in modern micro-/nanoelectronics, high-frequency and mobile communication devices, and life-saving microchips and other devices such as defibrillators and pacemakers implantable in humans. A key dielectric parameter is the dielectric constant (k), which largely controls the capacitance in capacitors with nanoscale area and dielectric layer thickness. Extremely high dielectric constants (k ≥1000) were observed in oxides (e.g., La1.8Sr0.12NiO4) with relaxor/ferroelectric materials and in combined semiconducting bulk properties with highly resistive grain boundaries. Giant dielectric constant films have also been demonstrated, based on integrating relatively low-dielectric-constant oxides into nanolaminate structures (e.g., TiOx/Al2O3; TiO2/HfO2) with tailored sublayer thicknesses, interfaces, and oxygen atom distributions. This overview article addresses the science and technology of high-dielectric-constant oxide materials with different compositions and structures.