Optical module and projector

An optical module comprising:

• a first light source configured to emit first light in a first wavelength band;
• a first pickup element configured to reduce a spread angle of the first light emitted from the first light source;
• and
• a first light modulation element configured to modulate the first light emitted from the first pickup element based on image information, wherein
• the first light modulation element has a light receiving region that receives light emitted from the first pickup element,
• the first pickup element includes a first light guide element,
• the first light guide element includes a first incident end on which the first light is incident and a first emission end that emits the first light, and homogenizes in-plane illuminance of the first light, and
• 1.1
• ×
• AR
• ⁢
• 1
• ≤
• AR
• ⁢
• 2
• ≤
• 1.9
• ×
• AR
• ⁢
• 1
• ,
• and
• ⁢
• ET
• ⁢
• 2
• =
• ∏
• ×
• AR
• ⁢
• 3
• ×
• sin
• 2
• ⁢
• θ1
• ≤
• ET
• ⁢
• 1
• ,
• wherein an area of the light receiving region when viewed along an optical axis of the light is AR1,
• an area of the first emission end of the first light guide element on which the first light is emitted is AR2,
• an area of the first incident end of the first light guide element on which the first light is incident is AR3,
• an angle formed by the first light emitted from the first pickup element with respect to the optical axis is θ1,
• an etendue of the light receiving region in the first light modulation element is ET1, and
• an etendue in an emission region of the first light incident on the first pickup element is ET2.