When sources of energy gain and loss are introduced to a wave scattering system, the underlying mathematical formulation will be non-Hermitian. This paves way for existence exceptional points, where eigenmodes linearly dependent. The primary goal this work is study points in high-contrast subwavelength metamaterials. We begin by studying parity--time-symmetric pair resonators prove that system ...

We investigate the relationship between complex symmetry of composition operators C ϕ f = ∘ induced on classical Hardy space H 2 ( D ) by an analytic self-map open unit disk and its Koenigs eigenfunction. A generalization orthogonality known as conjugate-orthogonality will play a key role in this work. show that if is Schröder map (fixes point ∈ with 0 < | ′ 1 σ eigenfunction, then symmetric on...

The Jacobian of deformation at a material point can be decomposed into the stretch tensor and the rotation tensor. Thus, varying Jacobians of deformation at the neighboring material points in the deforming volume of solid continua would yield varying stretch and rotation tensors at the material points. Measures of strain, such as Green’s strain, at a material point are purely a function of the ...

This paper deals with the automatic determination of conjugate points in multiple 3-line images of diierent resolution for the task of image orientation. A program for digital image matching was developed as part of the photogrammetric data processing chain in the context of the planned Mars'96 mission. The matching approach contains three phases: First, a few highly reliable conjugate points a...