Image projecting apparatus having an optical element shiftable in a direction having a component perpendicular to an optical axis

An image projecting apparatus comprising:

• an image display element;
• and
• an optical system that projects an image displayed on the image display element onto a screen, wherein the optical system comprises:
• an optical element that shifts in a direction having a component in a direction perpendicular to an optical axis of the optical system;
• and
• an adjusting mechanism that shifts the optical element in a direction having a component in a direction perpendicular to the optical axis,
• wherein the following conditions are satisfied:
• νdch <35, and
• 0.5 (mm2)<|P×fdch|<1.3(mm2),
• where vdch is a combined Abbe number of materials of the optical element with respect to a d-line, fdch is a combined focal length of the optical element with respect to the d-line, and P is a pixel pitch of the image display element, and
• wherein the optical element is a single lens, or the optical element includes a positive lens and a negative lens,
• wherein in a case where the optical element includes the positive lens and the negative lens, vdch is a combined Abbe number of materials of the optical element with respect to a d-line, which is defined by νdch=1/[fdch×{1/(fp×νp)+1/(fn×νn)}], and fdch is a combined focal length of the optical element with respect to the d-line, which is defined by 1/fdch=1/fp+1/fn, where fp is a focal length of the positive lens included in the optical element, νp is an Abbe number of the material of the positive lens included in the optical element, fn is a focal length of the negative lens included in the optical element, and νn is an Abbe number of the material of the negative lens included in the optical element, and
• wherein in a case where the optical element is a single lens, vdch is a Abbe number of the material of the single lens with respect to the d-line, and fdch is a focal length of the single lens with respect to the d-line.