Author’s Reply to the Comments on Design of A Microstrip Dual-Band Crossover With Asymmetrical $\pi $ -Shaped Transmission Lines

We appreciate the comments by Sinha and De
[1]
with respect to
[2]
. The transformation from a quarter- wavelength transmission line to the symmetric-T or -
$\pi $
was proposed in
[3]
. Moreover, the transformation from transmission line with general electrical
$\theta _{a}$
to the symmetric-T was provided in
[4]
as well. As shown in
Fig. 1

[2]
, with the special case
$\theta _{X} = \theta _{1} = \theta _{2} = \theta _{A}$
, simplified equations are obtained in
[1]
. In addition, the value of impedance
$Z_{A}$
should be proporly selected both in
[1]
and
[2]
.