Well, note that variables are passed via URL in the form of ?key=val&key2=val2...
So if your $jvar contains the value, the location string is:
"Location: main_authenticate.php?variable_name=$jvar"
Of course, the name of the variable_name depends on your code logic and is yours to decide. It is the name that you will fetch with $_GET['variable_name'] in main_authenticate.php