High School Forward Bias: Why does width of depletion layer decrease?

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The depletion layer in a diode is formed by the movement of electrons and holes, creating a region with fixed charged ions. When forward bias is applied, the external voltage reduces the barrier potential, allowing electrons to flow from the n side to the p side. This flow does not increase the depletion width because new electrons from the external circuit replace those that move across the junction, maintaining equilibrium. The integral of the electric field across the depletion region must equal the barrier potential difference, indicating that the depletion width decreases under forward bias. Thus, the understanding that the depletion layer widens with increased electron movement is flawed; instead, it narrows due to the dynamics of current flow.
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The depletion layer is formed by the movement of electrons from the n to p side and holes from p to n side of the diode. The layer consists of positively charged donor ions close to the n side and negatively charged acceptor ions close to the p side. When in equilibrium,the barrier potential prevents this flow of carriers and the current is 0. Now when we forward bias a diode, the external voltage is in the opposite direction of the barrier potential and hence decreases the barrier potential. As a result the movement of electrons from n to p dominates once again. But keeping in mind that this flow was responsible for the creation of the depletion layer in the first place, why is the width of the same decreasing? If electrons are going to move from n to p because of reduction of the barrier potential , shouldn't it just create more donor ions and acceptor ions on either side and hence increase the width?
Please help me find the flaw in my understanding.
 
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In order to maintain a forward bias, you need to supply a current to the diode. So the electrons that move from the n side to the p side are replaced by new electrons flowing in from the terminal connected to the n-side. If no current is supplied, the equilibrium condition is quickly re-established. In order to establish the forward bias in the first place, you need to flow extra electrons into the n side to "cover" the fixed donor ions. It is easy to see that the depletion width must be smaller in the forward bias case by realizing that the integral of the electric field across the depletion region must equal the barrier potential difference.
 
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