I come across a good andoroid app aiming to duplicate screen from your android device to your PC called MirrorOp. To use it, you must install MirrorOp sender to the device from which you want to duplicate screen, in this case android device. And then you must install MirrorOp receiver to the device you want to send the screen to, laptop. You can install this app on the contrary according to your need. Choice of trasmitting media is either via WiFi or USB (using USB tethering). If you feel like the display quality is bad, you can increase resolution by configuring the option menu on your android device while transmitting the display.

To be able to use MirrorOp, your android must be rooted. I use Xperia Z1 C6903 4.4.4 KitKat Build 14.4.A.0.157, here is the reference how to root it: http://www.waledacdroid.com/2014/11/sony-released-new-update-for-xperia-z1.html. If you encounter problem like you must install device driver, you can install Sony PC Companion then connect your phone, your PC will install the updated driver automatically.