But that’s the whole point, with traditional rockets every second spent on the way up is wasted fuel combatting the cumulative force of gravity.
But if your energy is being beamed up, as long as that energy is enough to overcome gravity, you eventually achieve orbit. You’re no longer burning a limited resource just to “hover + 1”.
I’m not saying it works, but it does fundamentally change the equation if you can beam “fuel” to the rocket on the way up.
Unfortunately energy =/= fuel. In the end, mass has to exit the rocket at high velocity out one end in order to provide acceleration in the opposite direction, and that mass is limited.
I've always been curious as to how effective a hydraulic lift could be at reducing necessary launch weight. A disproportionate amount of fuel is used at the beginning of the first stage when it is the heaviest, so seems like the benefit would be quadratic - Saturn V took 12 seconds to clear the tower. Would require major infrastructure, but if you could "throw" the rocket so it starts at a greater initial speed, seems like you could bend the rocket equation favorably. Perhaps even a giant underground potato-canon or railgun.
https://www.nasa.gov/topics/technology/features/horizontalla...
I suppose you'd be able to approximate the effect by comparing the delta v needed to launch from a sea-level site (Cape Canaveral, Kourou, etc.) with that needed to launch from one of China's inland sites (e.g., Taiyuan, which sits at 1500m). I have no idea whether this data is publically available, though. I'd guess the bulk of your performance improvements would come from increased engine performance due to the lower ambient pressure (~0.83 atm according to Wolfram Alpha) rather than the increased altitude, since most of the energy is needed for horizontal acceleration [0]. The increased thrust would mean lower gravity losses, but I wouldn't be able to say how much.
So far all demonstrations have been of rockets mounted under a jet engine powered aircraft, which then detaches at space launch. But I don't think there is any reason why you couldn't have a SSTO air/spacecraft, other than we don't have the propulsion technology yet - it works in KSP though :-)
Imagine a spacecraft with a mass of 100 tons (including fuel and payload). Let's also assume a specific impulse of 2,956 (the highest thrust version of VASIMR according to this source: http://www.projectrho.com/public_html/rocket/enginelist.php#...). If we require an acceleration of 2 g and assume that our engine is 100% efficient we would require about 28 GW of electricity. This is approximately equivalent to the average electricity consumption of California. I don't think it would be possible (with current or projected future technology) to build a receiver that could handle 28 GW of electricity and still stay under 100 tons. If we could build such a receiver I don't think it would be able to survive accelerating through Earth's atmosphere.
The silver lining, though, is that wireless power transfer is a very useful technology for use in space after getting to orbit. Lasers are probably a better technology than microwaves for transferring power over interplanetary distances, but the concept is the same. If we ever travel to another star there is a pretty good chance that the journey will be at least partially powered by an array of very large lasers.