F-35B dropping Small Diameter Bomb from its internal weapons bay
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F-35B dropping Big Diameter Bomb from its internal weapons bay
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Also the combat radius of F-35B is more than 800km; way less than what's norm on heavy fighters but to get more accurate idea you need to compare it to other VTOL fighters, especially the one that got replaced by F-35B.
Harriers had a combat radius of more than 500km.
A F-35B armed with JSM can engage a target 1,200km away from its Carrier Strike Group.
Now answering this
LHD's are supposed to have everything of their own. The helis would clear the beach, then LCACs would deliver troops and equipment all while helis would provide close air support and during the transit to the beach the F-35B would provide CAP against enemy naval strike fighters. Definitely you'd have other ships and air cover, but on paper a LHD is supposed to be "self sufficient"
But this concept of "Helicopter carrier" was designed when helicopters were the hottest thing in the market and people generally hated Harrier (only available VTOL at that time). But currently attack helicopters are slowly losing their edge against UAVs and F-35B is proving to be a formidable fighter despite being VTOL. So that's why you see countries like Japan just naming their "vessels" helicopter carrier but using them as full fledged VTOL aircraft carrier.