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We investigated the properties of cholesteric liquid crystals (CLCs) being inexternal static magnetic field directed along the helix axis. We have shownthat in the case of the wavelength dependence of magneto-optic activityparameter, and in the presence of absorption new features appear in the opticsof CLCs. We have shown that in this case new photonic band gaps (PBGs) appear.This new PBG is sensitive to the polarization of the incident light. But if thechirality sign of the polarization of the incident diffracting light for thebasic PBG (which exist also at the absence of external magnetic field) isdetermined only by the chirality sign of the CLC helix, then for the second oneit is determined by the external magnetic field direction (i.e., on whether thedirections of the external magnetic field and the incident light are parallel,or they are antiparallel). We have shown that in this case besides Dirac pointsthere appear also Dirac lines as well as exceptional points and exceptionallines. And moreover, at some of these points and lines there appear the linesor wide bands of magnetically induced transparency, on others a wide coherentperfect absorption band appears that is insensitive to incident lightpolarization. And finally on some points the same reflection, transmission andabsorption takes place for any polarization of incident light. This system canbe applied as tunable narrow-band or broad-band filters and mirrors, a highlytunable broad/narrow-band coherent perfect absorber, transmitter, ideal opticaldiode, and other devices.

Exceptional points and lines and Dirac points and lines in magnetoactive cholesteric liquid crystals