wave somebody through
wave somebody on
wave somebody away

He waved a hand at the field, as if through air.

They had only one more question before waving me through security.

All I see are the forms as they wave through the air.

At times all that can be seen are arms waving through the air.

I just remembered as you waved your hand through the air.

His voice was rising, both hands waving through the air.

He stepped back into the car and waved at me through the window.

He took it without comment and waved her through the door.

I opened the door and waved at them through the screen, showing off.

But the guard waved him through - a matter that is now under investigation.