2016/03/10 by Asaf Farhi, Farhi, Asaf, David J. Bergman +1
Materials Science · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Physical sciences #Metamaterials and Metasurfaces Applications #Optics (physics.optics) #Photonic Crystals and Applications #physics.optics
paper · pdf · doi:10.48550/arxiv.1603.06301
arxiv created 2016/03/10 · openalex publication_date 2016/03/10 · arxiv updated 2016/03/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
An exact calculation of the local electric field \bf E(\bf r) is described for the case of a time dependent point electric dipole \bf pe-iωt in the top layer of an ε2, ε1, ε2 three parallel slabs composite structure, where the ε1 layer has a finite thickness 2d but the ε2 layers are infinitely thick. For this purpose we first calculate all the eigenstates of the full Maxwell equations for the case where μ=1 everywhere in the system. The eigenvalues appear as special, non-physical values of ε1 when ε2 is given. These eigenstates are then used to develop an exact expansion for the physical values of \bf E(\bf r) in the system characterized by physical values of ε1(ω) and ε2(ω). Results are compared with those of a previous calculation of the local field of a time dependent point charge in the quasi-static regime. Numerical results are shown for the local electric field in practically important configurations where attaining an optical image with sub-wavelength resolution has practical significance.