Question: Two rectangular waveguides with different major side lengths (a 1 < a 2 ) along the x-axis and equal minor sides (b 1 = b

Two rectangular waveguides with different major side lengths (a₁ < a₂) along the x-axis and equal minor sides (b₁ = b₂) along the y-axis are butt-joined in the z = 0 plane.Waveguide 1 propagates a TE₁₀ mode (only) in the +z-direction toward waveguide 2. Find the amplitude of the various modes excited in waveguide 2 if the two guides share a corner at x = y = 0 and the open portion of the larger guide in the x-y plane is closed by a perfect conductor. Check the a₁ = a₂ limit.

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