Abstract
Theoretically, we have employed a transfer matrix to examine the tunable band structure and transmission properties of a one-dimensional photonic crystal that consists of periodic layers of a lossy double-negative index and magnetic cold plasma materials. Our study shows that the existence of unconventional photonic bandgaps (PBGs) is due to the material dispersion properties of double-negative and magnetic cold plasma layers and fundamentally differs from Bragg gaps, which arise due to an interference mechanism. The two new gaps, called zero-permittivity ($\varepsilon = {0}$) and zero-permeability (${\mu} = {0}$), near the frequency at which the permittivity and permeability of double-negative material change signs, have been found for non-zero incidence angles corresponding to $p$ and $s$ polarizations, respectively. These gaps can be easily tuned as well as enlarged by the application of an external magnetic field in both right-hand and left-hand polarization configurations. At a fixed magnetic field, $\varepsilon = {0}$ and ${\mu} = {0}$ gaps corresponding to $p$ and $s$ polarizations, respectively, can be further enhanced by increasing the angle of incidence to higher values. Additionally, we have found a tunable zero-plasma-permittivity (${\varepsilon _P} = {0}$) gap close to the frequency at which the magnetic-field-dependent electric permittivity of a cold plasma layer changes sign at a non-zero incident angle corresponding to $p$ polarization only. Finally, we present a way by which the zero-effective-phase gap, $\varepsilon = {0}$ gap, and ${\varepsilon _P} = {0}$ gap can be joined together to produce an enlarged PBG at a non-zero incidence angle corresponding to $p$ polarization only in the presence of an external magnetic field of value ${B_L} = {0.473}\;{\rm T}$. The proposed study may be used for designing of polarization triggered tunable optical devices in microwave engineering applications.
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