# Inverse problem of quartic photonics.

@article{Mulkey2017InversePO, title={Inverse problem of quartic photonics.}, author={Thomas Mulkey and Jimmy Dillies and Maxim Durach}, journal={Optics letters}, year={2017}, volume={43 6}, pages={ 1226-1229 } }

We formulate and solve the inverse problem of quartic photonics, or photonics of metamaterials, whose k-surfaces (also known as iso-frequency surfaces or Fresnel surfaces) are quartic surfaces. This provides an approach to engineer the effective parameters of metamaterials starting from the desired plane waves. We apply our method to the design of the high-k limit of metamaterials, extreme non-reciprocity, and complex bi-anisotropic media.

## 11 Citations

### Quartic Metamaterials: The Inverse Method, Perturbations, and Bulk Optical Neutrality

- Physics
- 2019

A primary goal of photonics is designing material structures that support predetermined electromagnetic field distributions. We have developed an inverse method to determine material parameters for a…

### Complete 72-parametric classification of surface plasmon polaritons in quartic metamaterials

- MathematicsOSA Continuum
- 2018

We propose a general and complete classification of all possible new and old kinds of surface plasmon polaritons (SPPs) that can propagate at boundaries of arbitrary linear, local bi-anisotropic…

### Complete 72-Parametric Classification of New and Old Kinds of Surface Plasmon Waves

- Physics
- 2018

We propose a general and complete classification of all possible new and old kinds of surface plasmon waves that can propagate at boundaries of arbitrary linear, local bi-anisotropic media, including…

### Additional waves and additional boundary conditions in local quartic metamaterials

- Materials ScienceOSA Continuum
- 2018

Additional electromagnetic waves and additional boundary conditions (ABCs) in non-local materials attracted a lot of attention in the past. Here we report the possibility of additional propagating…

### Twisted-Rod Quartic Metamaterials

- Materials ScienceFrontiers in Optics + Laser Science APS/DLS
- 2019

We introduce a novel type of metamaterials composed of twisted layers of metal rods. We show that these metamaterials, composed of quadric components, are quartic and exhibit magnetoelectric coupling.

### Electromagnetic Scattering by Bianisotropic Spheres

- Physics
- 2023

Electromagnetic fields in bulk bianisotropic media can be represented using plane waves whose k-vectors can be found using the index of refraction operator method and belong to the Fresnel wave…

### On the Boundedness, Minimality, and Uniqueness of Constrained Optimal Solutions for an Inverse Radiation Problem in Metamaterial Media

- Mathematics
- 2018

Lower boundedness, global minimality, and uniqueness are established for the solutions of a physically-motivated class of inverse electromagnetic-radiation problems in (meta)material backgrounds. The…

### Lossless and loss-induced topological transitions of isofrequency surfaces in a biaxial gyroelectromagnetic medium

- PhysicsPhysical Review B
- 2019

Topological transitions of isofrequency surfaces of a composite magnetic-semiconductor structure influenced by an external static magnetic field are studied in the long-wavelength approximation. For…

### ON FRESNEL-AIRY EQUATIONS, FABRY-PEROT RESONANCES AND SURFACE ELECTROMAGNETIC WAVES IN ARBITRARY BIANISOTROPIC METAMATERIALS

- PhysicsProgress In Electromagnetics Research
- 2022

We introduce a theory of optical responses of bianisotropic layers with arbitrary effective medium parameters, which results in generalized Fresnel-Airy equations for reflection and transmission…

### Tri- and Tetrahyperbolic Isofrequency Topologies Complete Classification of Bianisotropic Materials

- MathematicsApplied Sciences
- 2020

We describe novel topological phases of isofrequency k-space surfaces in bianisotropic optical materials—tri- and tetrahyperbolic materials—which are induced by the introduction of chirality. This…

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