Study of Linearly Chirped 1-Dimensional Bragg Gratings Using Confluent Hypergeometric Function
Abstract: A finite
one-dimensional, linearly Bragg grating with chirp parameter C and index modulation
depth n1 or coupling constant κ ∝ n1 is considered for numerical
analysis of its performances by converting its coupled equations into a
confluent hypergeometric equation. The operational parameters considered for the
analysis consist of the group delay, the reflectance (R), the reflectance ripple
(RR), the reflectance bandwidth (BW) and the group delay ripple (GDR). It is
shown that increasing C leads to decreasing GDR and increasing BW which are
favorable to the device performance. However, the RR is relatively unaffected
while R suffers from an undesirable diminution. On the other hand, increasing κ
results in the enhancement of R and BW while reducing RR when κ is increased
beyond a certain turning point. But these are attained at the expense on
enlarged GDR. The results of this study clearly points to the need of
compromising between C and κ for the optimal operation of the device.
Author: A. Bahtiar and R. E. Siregar
Journal Code: jpfisikagg080002
