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Attenuator R1R1 R1R1 R2R2 Let R 1 and R 2 be the normalized resistances
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Directional Couplers Multihole Waveguide Couplers Port 1 Port 3 Port 2 Port 4 a1a1 0 b4b4 b2b2 b3b3 K f a 1 -L-L K r a 1 -2 L K f a 1 -L-L K r a 1 0 a1a1 -L-L L and reverse aperture coupling coeffiecients K f and K r are the forward
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Parallel-Coupled Lines Directional Coupler Input Coupled Port 3 Direct Port 4 Isolated Port 2 Port 1 L Input Coupled Port 3 Direct Port 4 Isolated Port 2 Port 1 L H wall a 1 /2 Even Mode excitation
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Input Coupled Port 3 Direct Port 4 Isolated Port 2 Port 1 L E wall a 1 /2 -a 1 /2 Odd-mode excitation Lossless Transmission Line Z 0k, l The ABCD of a Use the even and odd impedance, from the ABCD we can Obtain the reflection and transmission coefficients for even and odd cases.
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For a perfect input match b 1 =0, which requires that:
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Branch-Line Coupler Z 02 Z 01 l l Z0Z0 Z0Z0 Z0Z0 Z0Z0 Port 1 Port 4 Port 3Port 2 Even-mode pair Odd-mode pair a 1 /2 -a 1 /2 b1b1 b2b2 b3b3 b4b4
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Open circuits Short circuits Even-mode excitationOdd-mode excitation
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