How can one understand the problem of a husband's intense jealousy towards his wife, which makes him distressed by her looking at others, knowing that he has found no evidence of any wrongdoing on her part, and what is the appropriate analysis and solution for this situation?

Jealousy over one's wife is a praiseworthy and religiously مطلوب امر (commanded) matter, such as your eagerness that no one should gaze upon her, and your denunciation of her intentionally looking at strangers (non-mahram men). However, exaggerating in jealousy and having ill suspicion of her without any cause for doubt is blameworthy. Praiseworthy jealousy occurs in situations of doubt and suspicion, while blameworthy jealousy occurs without such. Know that excessive denunciation of one's wife can lead to falsely accusing her. Therefore, maintain moderation in jealousy, and protect your wife without ill suspicion or excessive restriction.