1. An air filled X-band rectangular waveguide with the dimensions a = 2.286cm and b = 1.016cm is operated at frequencies near 20GHz. Determine for the TE11 mode:
Given: a = 2.286cm, b = 1.016cm, f = 20GHz
I. Wave impedance
II. Phase constant
III. Phase velocity
IV. Guide wavelength
V. Also determine the other modes that can propagate at this frequency.
2. separated by 3 cm thick lossy dielectric described by
r = 2.89, µr = 1, σ =
1.2 × 10
-10
S/m . The operating frequency is 11 GHz. Given that copper is non-magnetic, determine for the TM
1mode;
Given: σ
c
= 5.8 × 10
7
S/m,
r = 2.89, µr = 1, σ = 1.2 × 10
-10
S/m at 11GHz
Determine;
i. The cut-off frequency
ii. group velocity
iii. Guide wavelength
iv. Phase velocity