That clip was awesome!
I have a tendency to turn a little more downwind (broad reach) before I start pumping in light wind. Since you're a little new to foiling, just getting out and sailing/foiling more will help. My pumping technique sucked the first year, so I ended up stepping up to a larger sail. Now that I'm at the end of this season, I can grab much smaller sails and pump quickly to get up.
Gear: Big sail, big wings help a ton. The rest is technique.
WhiteofHeart's description is good. I have a tendency to 'slide' or shove the board forward when I pull in the sail during the pump. This gives the board a little more speed to build on. Let's break it down to the elements using his video:
www.instagram.com/p/B1yGKGhAL-B/?igshid=pw5teqoxn69I watched WhiteofHeart's video a few times to kind of breakdown the physics/technique.
1-6 starter pumps: Initial pumps will be larger pulls, grabbing as much wind as possible (using WoH's pointers). I also sort of lift myself off the board and try to hang on the boom a little more (like WhiteofHeart mentions). The key is to get speed. Don't push the rear foot down too early for flight at this stage (or you'll stall/stop/slowdown). You'll need to learn the feel of your rig/wing to figure out when to move into the transition pumps.
2-3 transition pumps: The transition is where you can start to lift the front of the board out of the water, but still can't sustain flight. The board will fly, but will come back down...this may repeat a few times as your speed increased for sustained flight. After the starter pumps to get speed, start pushing down on the rear foot more to lift the board.
Sail pump: You will use shorter sail pumps here. Quicker and shorter throw. There is a board pumping element here too.
Board pump (Advanced): Your first lift off may not result in flight in light winds. If you keep the first lift off with a high angle of attack (AOA), you'll end up stalling the board out and losing speed. It will come back down, so don't fight it; instead guide it. You've seen pumping technique on foil surf boards, think of that. So, in one motion, pull the sail back and pitch the board up (by adding more back foot pressure). When you push the sail out for the next pump, guide the board down (or push it for more speed due to gravity), and then repeat. There shouldn't be many pumps in this sequence, but you'll start to rapidly increase speed.
1-2 flight & stabilization adjustments: Now that you're up with the transition pumps, your speed has changed. Be mindful of the new relative wind direction and speed. You'll be gaining speed here. You can point down or up into the wind as needed to keep speed. In light winds you might be doing a bit of both (down wind for a little more speed, and then point up quickly to change the relative wind speed). Your Angle of Attack (AOA) still might be abnormally high. At this point, you need to focus on reducing that angle and straightening out for reduced drag.
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Sail position here is critical as the aerodynamics and power has changed. Most sailors think that the more you sheet in the sail, the faster you'll go. Not always the case in light wind. Sheeting in/out to find that right spot is important. When in flight, you might throw in a medium pump or two to increase your speed.
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Board: At this point, the key is to get front wing parallel to the water surface (low AOA). As your speed increases with the correct sail position, try to focus on this aspect. Advanced board pumping at this point can help. Using most/some of the height to pump the board for speed too can help dramatically (but don't touch down).
Hope this helps!