Effective optical constants in stratified metal-dielectric metameterial

Integral equation method for the electromagnetic wave propagation in stratified anisotropic dielectric-magnetic materials

We investigate the propagation of electromagnetic waves in stratified anisotropic dielectric-magnetic materials using the integral equation method (IEM). Based on the superposition principle, we use Hertz vector formulations of radiated fields to study the interaction of wave with matter. We derive in a new way the dispersion relation, Snell's law and reflection/transmission coefficients by self-consistent analyses. Moreover, we find two new forms of the generalized extinction theorem. Applying the IEM, we investigate the wave propagation through a slab and disclose the underlying physics whic…

Generalized 4 $\times$ 4 Matrix Formalism for Light Propagation in Anisotropic Stratified Media: Study of Surface Phonon Polaritons in Polar Dielectric Heterostructures

We present a generalized 4 $\times$ 4 matrix formalism for the description of light propagation in birefringent stratified media. In contrast to previous work, our algorithm is capable of treating arbitrarily anisotropic or isotropic, absorbing or non-absorbing materials and is free of discontinous solutions. We calculate the reflection and transmission coefficients and derive equations for the electric field distribution for any number of layers. The algorithm is easily comprehensible and can be straight forwardly implemented in a computer program. To demonstrate the capabilities of the appro…

Diffractionless propagation through Kapitza stratified media

We show that in the presence of a rapidly modulated dielectric permittivity with a large modulation depth (Kapitza medium) a novel and robust regime of diffractionless electromagnetic propagation occurs. This happens when the mean value to depth ratio of the dielectric profile is comparable to the small ratio between the modulation period and the wavelength. We show that the standard effective medium theory is inadequate to describe the proposed regime and that, its occurrence is not substantially hampered by medium losses. We check the feasibility of the proposed regime by means of a large mo…

Exact localization length for s-polarized electromagnetic waves incident at the critical angle on a randomly-stratified dielectric medium

The interplay between Anderson localization and total internal reflection of electromagnetic waves incident near the critical angle on randomly-stratified dielectric media is investigated theoretically. Using an exact analytical formula for the localization length for the Schrödinger equation with a Gaussian $δ$-correlated random potential in one dimension, we show that when the incident angle is equal to the critical angle, the localization length for an incident $s$ wave of wavelength $λ$ is directly proportional to $λ^{4/3}$ throughout the entire range of the wavelength, for any value of th…

Diamagnetic nature of stratified thin metals in visible range

It is numerically demonstrated that effectively strong diamagnetic resonance emerges at visible frequencies in stratified metal-dielectric metamaterials. The effective optical constants are extracted by two-complex reflectivity method. It is clarified that the effective diamagnetic response originates from local diamagnetism at stratified thin metals. The effective diamagnetism is crucially sensitive to the sturucture of unitcell. The effective diamagnetic response is always associated with effective plasma frequency and is therefore regarded as a magnetic component of the collective excitatio…

光束通过分层介质的无反射传播

Reflectionless propagation of beams through a stratified medium

本文将Kay-Moses无反射势的光学类比从平面波推广到结构化光束，利用角谱分解证明高斯和拉盖尔-高斯光束在分层介质中可实现低于1%反射率的近全透射，并展示其在保持光束形状方面优于传统lambda/2增透膜。