Do we need a new law in place specifically aimed at false accusations of rape and DV?

It seems like whenever this is brought up, people dismiss the issue by saying that perjury is already illegal. I'm no legal expert, but I don't think perjury covers most false accusations because I don't see anyone getting in trouble for it. I got terrible luck, so I will use myself as an example. I got accused of beating a female classmate when I was in school (completely false never touched or spoke to her) and another girl tried to say I assaulted her at a party I wasn't even at. I didn't go to court for either incident, so there's no "perjury" to apply here. Maybe I could have sued them, but that seems pretty costly and inefficient. I'd have felt more confident bringing these incidents up in the past if there was a concrete law that says falsely accusing someone of sex or violent crimes is punishable by law. It just seems like a massive gray area otherwise.
Do we need a new law in place specifically aimed at false accusations of rape and DV?
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