Projection lens and portable display device for gaming and other applications

123A portable projection device comprises a housing, a handle, and an optical engine. The optical engine comprises an illumination source, an imaging system, and a wide angle projection lens that includes a first lens group of negative refractive power, the first lens group having at least one aspheric surface, a second lens group, and a third lens group of positive refractive power. For the wide angle projection lens, the following Conditions (1) to (4) are satisfied: |F/F|≧4.5 (Condition (1)); 2.5≦|F/F|≦6.0 (Condition (2)); 3.8≦|F/F|≦5.0 (Condition (3)); and 0.8≦BFL/F≦1.4 (Condition (4)). The portable projection device can be implemented as a personal gaming system and can also be configured as a portable, fully integrated video gaming system that allows gamers to plug in and play at nearly any location, with only a wall or other viewing surface being used to view the projected image.