Optical system

An optical system, comprising, in order from a pupil plane side to a display plane side:

• a first reflective polarizing plate;
• a first lens having positive refractive power;
• a half mirror;
• a second lens having positive refractive power;
• a second reflective polarizing plate;
• a first ¼ wavelength plate arranged between a pupil plane and the half mirror;
• and
• a second ¼ wavelength plate arranged between the half mirror and a display plane,
• wherein the first lens has a convex surface on the pupil plane side at a paraxial position,
• the second lens has a convex surface on the display plane side at the paraxial position, and
• the optical system satisfies following conditional expressions (1) and (2):
• 14
• <
• r
• ⁢
• 1
• /
• T
• ⁢
• 1
• <
• 250
• (
• 1
• )
• 0.7
• <
• (
• D
• ⁢
• 2
• /
• f
• ⁢
• 2
• )
• ×
• 100
• <
• 5.
• (
• 2
• )
• where
• r1:
• paraxial radius of curvature of a surface of the first lens on the pupil plane side,
• T1:
• distance on an optical axis from a surface of the first lens on the display plane side to a surface of the second lens on the pupil plane side,
• D2:
• thickness of the second lens on the optical axis, and
• f2:
• focal length of the second lens.