Investigation of long-range surface plasmon polaritons gratings by complex mode matching method

Abstract

A long range surface plasmon polaritons Bragg grating is investigated by a complex mode matching method. A high order finite difference method is employed to find the complex eigenmodes. Benefited from the cascading and doubling algorithm, the computation effort is significantly saved for Bragg gratings with large number of periods. Numerical results are verified by previous reported experiments.

Efficient analysis of plasmonic discontinuities

“…Alternatively, the frequency-domain techniques, such as the modal-based methods and the field-based methods, are more attractive and efficient for plasmonic waveguides analysis. However, the accuracy of modal-based methods such as complex mode matching method (CMMM) [6], [7] depends highly on the number of guided and radiation modes. In [7] a periodic long-rang surface plasmon polariton (LR-SPP) ridge grating has been analyzed using CMMM with about 60 modes to achieve a sufficient precision.…”

“…However, the accuracy of modal-based methods such as complex mode matching method (CMMM) [6], [7] depends highly on the number of guided and radiation modes. In [7] a periodic long-rang surface plasmon polariton (LR-SPP) ridge grating has been analyzed using CMMM with about 60 modes to achieve a sufficient precision. Furthermore, many difficulties arise in dealing with radiation modes which should be included to conserve the power balance condition at interfaces so that it is extremely difficult while dealing with SPPs.…”