A novel surface-integral-equation formulation for efficient and accurate electromagnetic analysis of near-zero-index structures

2022-03-01
İbili, Hande
Ozmu, Utku
Karaosmanoglu, Bariscan
Ergül, Özgür Salih
We consider accurate and iteratively efficient solutions of electromagnetic problems involving homogenized near-zero-index (NZI) bodies using surface-integral-equation formulations in the frequency domain. NZI structures can be practically useful in a plethora of optical applications, as they possess near-zero permittivity and/or permeability values that cannot be found in nature. Hence, numerical simulations are of the utmost importance for rigorous design and analysis of NZI structures. Unfortunately, small values of electromagnetic parameters bring computational challenges in numerical solutions of homogeneous models. Conventional formulations available in the literature encounter stability issues that make them inaccurate and/or inefficient as permittivity and/or permeability approach zero. We propose a novel formulation that involves a well-balanced combination of operators and that can provide both accurate and efficient solutions for all NZI cases. Numerical results are presented to demonstrate the superior properties of the developed formulation in comparison to the conventional ones.
JOURNAL OF OPTICS

Suggestions

A Comparative Study of Surface Integral Equations for Accurate and Efficient Analysis of Plasmonic Structures
Karaosmanoglu, Bariscan; Yilmaz, Akif; Ergül, Özgür Salih (2017-06-01)
Surface integral equations, which are commonly used in electromagnetic simulations, have recently been applied to various plasmonic problems, while there is still no complete agreement on which formulations provide accurate and efficient solutions. In this paper, we present the strong material dependences of the conventional formulations, revealing their contradictory performances for different problems. We further explain the numerical problems in the constructed matrix equations, shedding light on the des...
Novel SIE formulations for accurate and stable analysis of near-zero-index materials
KARAOSMANOGLU, BARISCAN; OZMU, UTKU; Ergül, Özgür Salih (2019-07-01)
© 2019 IEEE.We present surface-integral-equation formulations for accurate and stable solutions of electromagnetic problems involving near-zero-index materials with arbitrarily small permittivity and/or permeability values. The formulations are developed for conventional discretizations, while they can be implemented by using interaction routines of existing solvers. Initial results on canonical objects clearly demonstrate the superiority of the developed formulations in comparison to the conventional ones.
A Modal Superposition Method for the Analysis of Nonlinear Systems
Ferhatoglu, Erhan; Ciğeroğlu, Ender; Özgüven, Hasan Nevzat (2016-01-28)
In the determination of response of nonlinear structures, computational burden is always a major problem even if frequency domain methods are used. One of the methods used to decrease the computational effort is the modal superposition method for nonlinear systems where the modes of the linear system are used in the calculation. However, depending on the type of the nonlinearity, in order to obtain an accurate response, the number of modes retained in the response calculations needs to be increased, which i...
A Novel Combined Potential-Field Formulation for Densely Discretized Perfectly Conducting Objects
Eris, Ozgur; Karaova, Gokhan; Ergül, Özgür Salih (2022-01-01)
IEEEWe present a novel surface-integral-equation formulation that provides broadband solutions of electromagnetic problems involving perfectly conducting objects. The formulation, namely the combined potential-field formulation (CPFF), is based on a well-balanced combination of the conventional potential integral equations, the magnetic-field integral equation, and an additional potential integral equation involving magnetic vector potential. In addition to being stable for dense discretizations, CPFF is fr...
A method for the synthesis of pyridine-based C-2-symmetrical chiral nucleophilic organocatalysts via Pd-catalyzed coupling
Yazicioglu, Emre Y.; Tanyeli, Cihangir (2012-12-31)
A one step Pd-catalyzed coupling methodology involving a reaction between a chiral diamine and a 2-bromo-4-(alkylamino)pyridine, was developed for the synthesis of novel C-2-symmmetrical chiral compounds with chemical yields of up to 87%. The organocatalytic performance was tested as an alternative to the enzymatic kinetic resolution of 1-phenylethanol and a promising result of 76% ee was obtained. We observed that the catalysts synthesized had their own characteristics in terms of enantioselectivity; for e...
Citation Formats
H. İbili, U. Ozmu, B. Karaosmanoglu, and Ö. S. Ergül, “A novel surface-integral-equation formulation for efficient and accurate electromagnetic analysis of near-zero-index structures,” JOURNAL OF OPTICS, vol. 24, no. 3, pp. 0–0, 2022, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/95427.