Birefringent left-handed metamaterials and ideal lenses for vectorial fields

We describe the properties of certain non-reflecting birefringent left-handed metamaterials and display a birefringent best lens for vectorial fields. We predict that, in a pointy contrast for the principle of a traditional perfect lens understood at epsilon = μ = −one (the place epsilon may be the dielectric permittivity and μ will be the magnetic permeability), the birefringent left-handed slab possesses the home of unfavorable refraction possibly for TE- or TM-polarized waves or for both equally of these at the same time. This allows selective focusing and also a spatial separation of the images established at distinct polarizations. We examine a number of applications on the birefringent still left-handed lenses like the beam splitting and close to-subject diagnostics for the sub-wavelength scale.

1. Introduction

Recent curiosity while in the physics of sub-wavelength imaging is defined by quite a few potential purposes of this effect, which includes lithography and knowledge storage. The notion of a wonderful lens [one] implies one of many prospective strategies for bettering the resolution of imaging systems based upon the exceptional Houses with the so-known as left-handed metamaterials or components with negative refractive index [two, three]. The potential of an ideal lens whose resolution isn’t confined through the classical diffraction Restrict has been a matter of intense debates from the scientific Local community prior to now 5 many years, and initially it had been met with considerable opposition [four]. Nonetheless, many complications raised from the critics are already answered and have clarified the thought itself and its limitations [five] through the outcomes of numerical simulations [six] and up to date experiments on unfavorable refraction, e.g. which has a detrimental-index product assembled from discrete things arranged on the planar circuit board [7].

The so-termed ideal lens is established by a slab of the still left-handed metamaterial with epsilon = μ = −one, where by epsilon is the dielectric pemittivity and μ will be the magnetic permeability. Veselago [2] predicted that such a fabric would’ve a unfavorable refractive index of , as well as a flat slab of the product would act as a lens refocusing all rays from some extent resource on a person facet of the slab into a degree on one other aspect of the slab (see determine 1). Afterwards, Pendry [1] recommended that such a lens can reconstruct the near subject of a supply, and as a result it might produce an ideal image [1].


So, a slab in the still left-handed metamaterial can be utilized for a sub-wavelength imaging mainly because it amplifies all evanescent (in close proximity to field) modes inside the slab, and therefore it allows to protect the information regarding the supply structure having a resolution a lot better than the radiation wavelength. On the other hand, to fulfill the problems for these types of a great lens to work, the distance among the supply along with the slab area, a, and the space among the 2nd area of your slab as well as the picture point, b, must be connected Along with the slab thickness d from the relation [1] (see figure 1),

Equation (one)

The relation (one) suggests that it’s unachievable to build an image in the distances greater when compared to the slab thickness, which is among the severe constraints with the applicability of remaining-handed best lenses.In this particular paper, we show that birefringent non-reflecting remaining-handed metamaterials can be employed for birefringent fantastic lenses, which may concentration فورتنايت vectorial fields. In particular, we demonstrate that, in contrast into the issue epsilon = μ = −1 for the conventional best lens, the birefringent left-handed lens can concentration either TE- or TM-polarized waves or the two, with a varying length in between the TE- and TM-illustrations or photos, and this house will allow us to expand considerably the applicability restrictions of the right lenses. We recommend precise structures for the dielectric as well as magnetic tensors that enables to produce this type of birefringent media, which is clear for an arbitrary angle of incidence. Furthermore, we present that this type of birefringent lens is free of charge from the restrictions imposed via the affliction (one), and we also explore Several other programs of your birefringent left-handed metamaterials to the beam polarization splitting and sub-wavelength imaging.

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