Abstract
The propagation of bound optical waves along the surface of a one-dimensional (1D) photonic crystal (PC) structure is considered. A unified description of the waves in 1D PCs for both s- and p-polarizations is done via an impedance approach. A general dispersion relation that is valid for optical surface waves with both polarizations is obtained, and conditions are presented for long-range propagation of plasmon-polariton waves in nanofilms (including lossy ones) deposited on the top of the 1D PC structure. A method is described for designing 1D PC structures to fulfill the conditions required for the existence of the surface mode with a particular wavevector at a particular wavelength. It is shown that the propagation length of the long-range surface plasmon polaritons in a thin metal film can be maximized by wavelength tuning, which introduces a slight asymmetry in the system.
Highlights
In the work [9], another method for the excitation of long-range surface plasmon polaritons (LRSPPs) was reported, in which the thin metal film was embedded between the medium being studied and the 1D photonic crystal (1D Photonic crystals (PCs))
In the work [9], another method for the excitation of LRSPPs was reported, in which the thin metal film was embedded between the medium being studied and the 1D photonic crystal (1D PC)
The present paper describes conditions for the propagation of LRSPP in metal nanofilms that are deposited on the top of the 1D PC structure, and thereby provides the theoretical background for the works [9, 19, 20]
Summary
For the interface between semi-infinite media 0 and 1 (figure 2), Fresnel’s formula for reflection coefficients has a very simple form in impedance terms: R. where Z( j) is the normal impedance of medium j, given by (2) or (3). Let us assume that we have a semi-infinite multilayer that consists of alternative layers with impedances Z(2) and Z(1) and its input impedance is unknown We play the trick: first, we add an additional layer with impedance Z(1) to the multilayer and find the input impedance of this system using the recursion relation (8),. We add an additional layer with impedance Z(2) to this system and obtain the same semi-infinite multilayer again (see the bottom of figure 4) with the input impedance:
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
