[time-nuts] Example of clocks interlocking with each other

[Jim Lux]

On 9/14/13 6:20 AM, Tim Shoppa wrote:
> The math I am familiar with, seems to have mostly developed around
> master-slave arrangements associated with radar pulses and (as you point
> out) TV. In the MIT Rad Lab series there are some single-purpose treatments
> but a good summary is Millman & Taub, "Pulse and Digital Circuits". Their
> approach is largely graphical but in several cases (especially relaxation
> oscillator coupled to a pulse or sine-wave circuit) they have analytic
> results. They also treat sine wave oscillators, getting all the way to
> phase detectors driving integrators driving reactance tubes (I think we
> would call this a true PLL today).
>


There's a whole literature and books on "coupled oscillator arrays".

They've been proposed (and prototypes built) for things like beam 
steering.  You have an array of VCOs that are coupled, and you put a 
bias on the VCOs at the edge, and the rest of the array nicely fills in 
the middle.

Take a look for papers by York (at UCSB) and Pogorzelski (recently 
retired from JPL)

The book is "coupled oscillator based array antennas"
http://descanso.jpl.nasa.gov/Monograph/series11/CoupledOsc_20110804.pdf

Chapter by chapter at
http://descanso.jpl.nasa.gov/Monograph/series11_chapter.cfm?force_external=0

All the coupled oscillator math is in there.  I'm pretty sure Pogo has 
matlab codes to simulate it if you were to ask. pogo at ieee.org