ah ok, yes theres more i need to explain, its quite clever ... obviously the two signals of 20 amd 20.4 cant be in phase however the signal you get from the mixer/detector is 400khz and this is what is now your signal so you need a reference signal of 400khz to compare it to. you get this from mixing the two original signals of 20 and 20.4 mhz in a standard mixer stage, as you increase the frequency you use say 30 and 30.4 mhz the result is still
400khz in both cases.the clever part is that if you do the maths or just think about it you see that the phase change in the reflected high frequency signal is actualy directly contained in the 400khz signal. ie the actual delay in time is multiplied by the diference in frequency.
a mixer is a just a multiplier, the photomultiplier gain is determined by the bias voltage and so the output from the APD is the light signal multiplied by the bias voltage. its handy that it has a high slope at point of use so you dont need to superimpose a high ac voltage.
yes you definatly need to keep the bias voltage wel over 140 volt or the capacitance change is phenominal. and yes as you can easily change your ac voltage within your DDS it would be better, its dificult to design a analogue variabl gain stage that has a totaly constant phase, this has hindered me quite a bit, i found this solution worked reasonably well. i have found a few volts change in bias voltage cuases a very wide change in gain with minimal change in delay, dont forget the apd capacitance is very smal anyway, and at 400khz a slight change wil have minimal efect.
however to get an extremly wide agc range you may find your ac bias voltage needs to be a few uv youl find this cuases considerably problems. changing both at the same time is of course an option wich i would probaly try to use, you can also atempt to make erros cancel eachother out.
another option is to use an optical shuter such as a lcd
you need to adjust the bias voltage to some extent to acount for changes in temperature. and to set the optimum gain.
the 400khz signal you get should be close enough to a sinewave to give good acuracy, narowband filter wil of course take away any distortion. you can do the maths for mixer stages with non ideal multiplication charectersitcs, u just asume the input signals are distorted and fed into an ideal mixer, then u multiply al the distortion products too, but i doubt you wil find it cuases any problem.
yes drift is potential problem you have to assess the point at wich its aceptable. you can get ceramic IF filters used in old radios about 440khz although i found it surprisngly hard to get hold of one from any handy stockists.
i c now that you are thinking of using a digitiser and doing away with the detector altogether. i realy dont like the detector you are using its not designed as a detector at all. i didnt realy look at it before im surprised you geting such good results with it actualy. im wondering how big your lense is ??
of course at 400khz your digitiser is a whole lot easier.
good i always fancy writing a book but doubt itl ever hapen, its good to be able to at least write about it here. oh and please feel free to mention my name if you want (Colin P. Rowe)
i sugest you look up superhet radio operation if you havnt covered it already.
it al depends how easy it would be to add a second DDS to your project (and a simple mixer), hardly any other significant changes are required. this may be a whole lot easier than ading a digitiser anyway, as your curent phase measuering wil be adequate with a much cleaner signal.
can you get dual DDS ?
yes it is surprisingly chalenging isnt it, but thats what makes things so exciting. my latest project is a bit of a spin off trying to measure smal changes in speed of light to investigate the validity of the Silvertooth experiment wich suposedly contradicted the Michelson-Morely experiment. its probably more chalenging as i hope to make it simple enough for it to be easily reproduced so the results cvan be easily demonstrated. if it actualy works i make no prediction about the outcome of the experiment tho as this would be rather contreversial anyway (im realy not sure, wich is why i want to try it).
Colin.