Perhaps a more economical mobile phone could be used.
Field day solar panel.
That said there is a simple equation to calculate the amount of kilowatt hours kwh your solar panel system will produce.
This is called the nameplate rating and solar panel wattage varies based on the size and efficiency of your panel.
So a fresh deep cycle marine battery with 100w solar panel about 5a charge if the sun is good will run a kx2 at 10w all day with ease.
I see nothing in the rules about you must start field day with a discharged battery so i would plan starting with a fully charged battery having a fully charged battery in reserve and having a solar panel charging station off site to recharge the first depleted battery if you think your power usage would require more than one.
Solar field day 2017.
For the sake of example if you are getting 5 hours of direct sunlight per day in a sunny state like california you can calculate your solar panel output this way.
So a rather small solar panel operated over a period of days could put enough charge on a battery to allow it to be used for the field day bonus.
Thus the output for each solar panel in your array would.
Watch out for the current drawn by the laptop as some laptops can be rather thirsty for power.
This is exactly what my club did.
How much energy does a solar panel produce.
As a heads up i hear solar power chargers can be very rf noisy.