Design of a Tunable Optical Filter by Using a One-Dimensional Ternary Photonic Band Gap Material

Abstract

A band pass filter with a linearly periodic refractive index profile is discussed in analogy with Kroning Penney model in band theory of solids. The suggested filter is a one-dimensional ternary periodic structure and provides better control in dispersion relation as compared to a binary structure because it has two more controlling parameters relative to those of the binary one. Since three layers are involved in the formation of band gaps a much broader range of dispersion control is obtained. Both refractive index modulation and optical thickness modulation are considered. A mathematical analysis is presented to predict allowed and forbidden bands of wavelength with variation of angle of incidence. It is also possible to get desired ranges of the electromagnetic spectrum filtered with this structure by manipulating the value of the lattice parameters.

A New Approach to Enhance Incidence Angle Based Spectrum Tuning Capability of One-Dimensional Ternary Photonic Band Gap Structure

“…Periodic media like one-dimensional (1D) photonic band gap structures (PBGs) [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] have attracted great interest of researchers due to their remarkably useful capabilities to guide and control light propagation. In these 1D PBG structures, generally, two or more different optical materials are periodically arranged.…”

“…The approach is simple; this ternary structure can be fabricated by depositing a thin layer of a third material between the two layers of the binary structure periodically. However, this sandwiching of a thin layer of a third material between every two layers binary PBG structure periodically has remarkable consequences i.e., it drastically enhances the performance of 1D binary PBG structure to guide and control light propagation [10][11][12][13][14][15]. Recently, in a research work [15], it was found that the incidence angle based spectrum tuning capability of 1D binary PBG structure enhances when the structure is modified to 1D ternary PBG structure by sandwiching a thin layer of third material, between every two layers, constituting a period of lattice.…”

Broad Omnidirectional Reflector in the One-Dimensional Ternary Photonic Crystals Containing Superconductor

“…Kong et al [30] presented an OBG in 1D ternary plasma PC. Furthermore, some applications based on the 1DTPCs are also prospected, such as the tunable optical filter [28], and optical sensing device [10].…”

“…Some methods to enlarge the frequency range of OBGs have been proposed, such as increasing the contrast of dielectric functions between the PC composites [3,4], using a chirped PC [20] or photonic heterostructure [21][22][23], or introducing the disorder into the periodic structures [24,25], etc. In recent years, one-dimensional ternary photonic crystals (1DTPCs) are also put forward to obtain the extended OBGs [10,[26][27][28][29][30][31]. 1DTPCs are constituted by three material layers in a period of the lattice.…”

Band Gap Extension in a One-Dimensional Ternary Metal-Dielectric Photonic Crystal

“…There have been several reports on the ternary PCs. A one-dimensional ternary DDPC has been used to design a tunable optical filter [22] and, an optical sensing device [23,24]. More recently, a ternary PC has been extended to include a plasma layer [25].…”