Journal
IEEE PHOTONICS JOURNAL
Volume 6, Issue 5, Pages -Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/JPHOT.2014.2361615
Keywords
Spectral element method; finite-difference time-domain method; photonic nanojets; sub-wavelength imaging; whispering gallery modes
Funding
- Technical Research Council of Turkey (TUBITAK)
- Turkish Academy of Sciences
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Although it is known that the spectral element method (SEM) has both high accuracy and a lower computational cost when compared with finite-element or finite-difference methods, the SEM is not widely utilized in the modeling of boundary value problems in electromagnetics. This paper provides a 2-D formulation of the well-known perfectly-matched-layer approach in the context of the SEM for the frequency-domain electromagnetic problems in which dielectric scatterers are involved. The formulation is then utilized to numerically study photonic nanojets after the demonstration of SEM accuracy in an electromagnetic scattering problem. Interesting cases where unusual results are obtained from scattering dielectric cylinders are reported and discussed in this paper. On the other hand, a finite-difference time-domain method that is widely deployed for investigating photonic nanojets is found to fail in successfully capturing such resonance cases. Sharp resonances are characteristic of high-Q cavities and numerical methods with high accuracy, e.g., the SEM can provide superior performance while exploring such resonators.
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