Exponential sine wave

Hello!

With this code I can draw a simple sine wave on the stage:


var frequency:Number = 5;
var axisY:Number = stage.stageHeight*.5;
var amplitudeMultiplier:Number = 32;

graphics.lineStyle(2);
graphics.moveTo(0, axisY);

for (var i:uint = 0; i <= stage.stageWidth; i++) {
    var amplitude:Number = Math.sin(frequency * Math.PI*2 * i/stage.stageWidth);
    graphics.lineTo(i, axisY - amplitude*amplitudeMultiplier);
}

But I want to draw a exponential sine wave, like this:

I think the Math.exp()-function can be useful. Please help!

Thanks already!