The voltage multiplier circuit is not function so the power loss there is near zero.
You picked some good diodes that only loose 0.36 volts. But that is a great deal of the 0.5V 44hz power source.
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Can't find it now. There is a paper on what you are trying to do. They use a 1:10 transformer to change the source from 0.5V to 5V. Now there is enough voltage to work with. Some one makes a IC that includes the diodes and boost PWM to get power to charge a super cap.