  We reveal previously unnoticed Type II perfect absorption and amplification
modes of optical scattering system. These modes, in contrast to the
counterparts in recent works [Phys. Rev. A 82, 031801 (2010); Phys. Rev. Lett.
106, 093902 (2011).] which could be referred as Type I modes, appear at a
continuous region along the real frequency axis with any frequency. The Type II
modes can be demonstrated in the PT-symmetric/traditional Bragg grating
combined structures. A series of exotic nonreciprocal absorption and
amplification behaviours are observed in the combined structures, making them
have potential for versatile devices acting simultaneously as a perfect
absorber, an amplifier, and an ultra-narrowband filter. Based on the properties
of Type II modes, we also propose structures with controllable perfect
absorption and amplification bandwidth at any single or multiple wavelengths.
