What's wrong with this applet?

It's me again. I finally got the console ROT13 program to work and decided to convert it into an applet with some AWT capablities. Here's the soucecode:

import java.applet.Applet;
import java.awt.*;
import java.awt.event.*;
import java.util.Arrays;
import java.lang.String;

public class ROT13let extends java.applet.Applet implements ActionListener{

TextArea textarea1;
Button button1;


public void init() {



textarea1=new TextArea("",5,20);
add(textarea1);
button1= new Button("ROT13");
add(button1);
button1.addActionListener(this);


}

public void actionPerformed(ActionEvent e){

char[] Alpha = {'a','b','c','d','e','f','g','h','i','j','k','l',' m','n','o','p','q','r','s','t','u','v','w','x','y' ,'z',' ','A','B','C','D','E','F','G','H','I','J','K','L', 'M','N','O','P','Q','R','S','T','U','V','W','X','Y ','Z'};
char[] Rev = {'z','y','x','w','v','u','t','s','r','q','p','o',' n','m','l','k','j','i','h','g','f','e','d','c','b' ,'a',' ','Z','Y','X','W','V','U','T','S','R','Q','P','O', 'N','M','L','K','J','I','H','G','F','E','D','C','B ','A'};
String NewLine= new String();
char[] temp;
int check=0;
int i=0;
int a,b;
int x;
if(e.getSource()== button1){
NewLine=textarea1.getText();
x=NewLine.length();
StringBuffer Encrypted= new StringBuffer(x+1);
temp=new char[x+1];
NewLine.getChars(0,x,temp,0);

for(i=0;i<=x;i++){

}

a= temp[i];
for(check=0;check <= 52;check++){

b=Alpha[check];

if(a==b){
temp[i]= Rev[check];
check = 52;
}



}

for(i=0;i<=x;i++){

Encrypted.append(temp[i]);
}

NewLine = Encrypted.toString();
textarea1.append(NewLine);

}
}


}
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All of this compiled just fine. However, when I went to test the build I got this:

java.lang.ArrayIndexOutOfBoundsException: 31
at ROT13let.actionPerformed(ROT13let.java:54)
at java.awt.Button.processActionEvent(Button.java:382 )
at java.awt.Button.processEvent(Button.java:350)
at java.awt.Component.dispatchEventImpl(Component.jav a:3615)
at java.awt.Component.dispatchEvent(Component.java:34 77)
at java.awt.EventQueue.dispatchEvent(EventQueue.java: 456)
at java.awt.EventDispatchThread.pumpOneEventForHierar chy(EventDispatchThread.java:201)
at java.awt.EventDispatchThread.pumpEventsForHierarch y(EventDispatchThread.java:151)
at java.awt.EventDispatchThread.pumpEvents(EventDispa tchThread.java:145)
at java.awt.EventDispatchThread.pumpEvents(EventDispa tchThread.java:137)
at java.awt.EventDispatchThread.run(EventDispatchThre ad.java:100)

Since it was and ArrayIndexOutOfBoundsException I figured that it must be something to do with the Encrypted StringBuffer. I've tweaked that variable over and over again and this hasn't gone away. The only thing I can think of is I'm doing something verboten with the eventListener. If anyone can tell be what I'm doing wrong here I would be most grateful (again). Also, is there anyway I can just write char[] temp to the text area? All this converting between types seems really sloppy to me.

Thanx,
Jimmy Scythe