Electromagnets and wireless charging. How to make the charging pad larger?

I have purchased a QI wireless charging kit for my iPhone 6s. I have searches everywhere for a larger charging pad, but can't find one anywhere! So, I thought I'd make my own and integrate it into a project I'm making. I have taken the pad apart and have discovered a copper coil. My electronics knowledge is very limited.

I would like to know how to make the pad much larger (around 30cmx20cm).

THAT IS A WASTE OF MONEY DEVICE THAT YOU BOUGHT.
TO BE CHARGED WITH Wi-Fi SIGNAL, THE SIGNAL SOURCE MUST BE VERY POWERFUL AND VERY CLOSE TO YOUR ROOM. MOST Wi-Fi SIGNAL FROM ROUTER OR SUPPLIER FOR COMPUTER OR CELLPHONE IS JUST AS SMALL AS 100mW WHILE REACHING TO YOUR ROOM. AS 100mW IS CAPTURE AND CONVERT INTO DC JUST AS SMALL AS A FEW mA. THAT TAKES MONTHS TO CHARGE THE iPhone BATTERY THAT REQUIRES CHARGING CURRENT AS HIGH AS 1A.
NOTE: 1A = 1000mA

The Qi charger is more than a coil and an oscillator. The circuit contains a circuit that negotiates with the phone, to tell it when to charge. Without that circuitry, the phone won't charge. If you want proof, make a 2.5" diameter coil of 20 turns of enameled copper wire, and connect the ends to an led. Set it atop the Qi charger, the Led will glow brightly and flash. Bring your phone near, and the led will stop flashing and remain glowing brightly. See https://www.adafruit.com/product/2162 The coil must oscillate at the right frequencies, so the coil inductance needs to be the same as the original coil.