Interferometry fringes on ezCon: If the dishes are moved closer together what will happen to fringes

INTERFEROMETRY - WHAT HAPPENS IF THE DISHES ARE MOVED CLOSER TOGETHER?

             DISH 1                         DISH 2
               \                              /
                \                            /
                 \                          /
                  \                        /
                   |<------ BASELINE ---->|


MOVE DISHES CLOSER TOGETHER
===========================

        DISH 1               DISH 2
          \                    /
           \                  /
            |<-- BASELINE -->|


SHORTER BASELINE
       |
       v
FRINGES BECOME FURTHER APART
       |
       v
FEWER FRINGES DURING THE SAME TRANSIT


Example:

LONG BASELINE

    /\  /\  /\  /\  /\  /\  /\  /\  /\  /\
___/  \/  \/  \/  \/  \/  \/  \/  \/  \/  \___

        Many closely-spaced fringes


SHORT BASELINE

          /\              /\              /\
_________/  \____________/  \____________/  \________

        Fewer, more widely-spaced fringes


Therefore:

DISHES FURTHER APART
        =
MORE FRINGES
FRINGES CLOSER TOGETHER
BETTER ANGULAR RESOLUTION


DISHES CLOSER TOGETHER
        =
FEWER FRINGES
FRINGES FURTHER APART
LOWER ANGULAR RESOLUTION


Approximately:

       Fringe rate proportional to baseline

                     B
       f  proportional to  ---
                    lambda


So if you HALVE the distance between the dishes:

       10 metres  --->  5 metres

the fringe rate will approximately HALVE

and

the time between fringes will approximately DOUBLE.


At 1420 MHz:

       wavelength = approximately 0.211 metres


Approximate angular scale:

                    lambda
       theta  ~  ------------
                       B


For example:

       Baseline          Angular scale

         5 m               ~2.4 degrees

        10 m               ~1.2 degrees

        20 m               ~0.6 degrees


So, looking at an ezCon interferometry plot:

DISHES FURTHER APART:

       /\/\/\/\/\/\/\/\/\/\/\/\/\


DISHES CLOSER TOGETHER:

       /\____/\____/\____/\____/\


In simple terms:

     MOVE THE DISHES CLOSER
               |
               v
     FRINGES SPREAD OUT
               |
               v
     FEWER FRINGES ON THE ezCon PLOT

By Admin

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