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Mixing with anti-parallel diodes is more effective than 90deg?

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I recently started trigonometric calculations on different kind of mixers, and come to this conclusion. Idea is that in 180deg version diodes open ~100% of time (antiparallel diodes pair). But when we use 90deg hybrid, mixing will be less effective. But still unsure about this and want to clarify this question. Can i use just trigonometric identities to analyze voltages across diodes and power combiners in mixer?
 

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