Abstract:
To design new-style effectively optical devices such as filters, amplifiers, attenuators and switches, the transmission characteristics of one-dimension photonic crystal(AB)m(AABAABAABAA)n(BA)m were studied by the transfer matrix method theory. The results show that with the real or complex dielectric constant, (AB)m(AABAABAABAA)n(BA)m will be formed into quantum-well structure photonic crystal which presents an apparent quantized effect. The number and frequency location of the transmission peaks of the thus-formed photonic crystal are closely related to the value of n. When nB is a complex dielectric constant with a negative imaginary part, the transmission peaks in the well present transmission gains and amplification at various levels. The transmission gains even reach as high as 103, and at some transmission peaks, strong stimulated radiation up to 104 orders of magnitude are found. When n3, both the multiple of the transmission gain and the maximum of stimulated radiation decrease with increasing n. And when nB is of a complex dielectric constant, peaks obviously show attenuated in the transmission. These characteristics offer theoretical guidance for preparation photonic crystals.