http://www.southwest.com/travel_center/baggage.html
Carryon Baggage
In keeping with new security directives from the TSA, strict limitations are being imposed on carryon items.
Airline passengers may now carry only one bag plus one smaller, personal-type item onboard the airplane.
Personal-type items include purses, briefcases, cameras, food containers, or laptops (case included).
Southwest Airlines limits carryon bag dimensions to 10x16x24 inches.
All Customers and Employees and their items are subject to a thorough, physical search.
The following items are not considered carryon bags or personal-type items and are not counted against the one-bag plus one personal-type item limit:
A child restraint device for a child who has been ticketed, who has a seat reserved, or for which complimentary, available space exists.
Assistive/mobility devices for individuals with a disability. There is no limit to the number of assistive/mobility devices a Customer can bring onboard the aircraft.
Outer garments or other wearable articles of clothing.
Food for consumption during flight contained in disposable packaging.
Walking canes or umbrellas.
Please see the TSA's web site for a list of allowable carryon items.