Converging substrate, electro-optic device, substrate for electro-optic device, projector, and electronic apparatus

An electro-optic device having a plurality of pixels arranged in a matrix pattern, comprising:

• a converging substrate formed of a transparent substrate having groove-shaped prism elements formed in an array pattern,
• wherein the prism elements are arranged along boundary areas of the pixels,
• wherein the prism elements each include a plurality of beveled portions arranged on side walls thereof in the direction of the thickness of the converging substrate, and
• wherein, assuming that light rays reflecting by the beveled portions formed on an opening end side of each of the prism elements are first reflected light rays and the light rays reflected by the other beveled portions are second reflected light rays from among the light rays entering the beveled portions from the side opposite from the plurality of pixels at the same incident angle, and the angle of the first reflected light rays with respect to the normal line of the surface of the converging substrate on which the prism elements are formed is a first angle, and the angle of the second reflected light rays with respect to the normal line is a second angle, the angle of the first angle is smaller than the angle of the second angle.

A substrate for an electro-optic device which is applicable as converging member for pixels of the electro-optic device, comprising:

• a converging substrate formed of a transparent substrate having groove-shaped prism elements formed in an array pattern,
• wherein the prism elements are arranged alone boundary areas of the pixels,
• wherein the prism elements each include a plurality of beveled portions arranged in the direction of the thickness of the converging substrate, and
• wherein the inclination angle of the beveled portions formed on an opening end side of each of the prism elements with respect to the normal line of the surface of the converging substrate on which the prism elements are formed is smaller than the inclination angle of the other beveled portions with respect to the normal line.

An electro-optical device having a light source and an electro-optic panel having a plurality of pixels arranged in a matrix pattern, comprising:

• a converging substrate formed of a transparent substrate having groove-shaped prism elements formed in an array pattern,
• wherein the prism elements are arranged along boundary areas of the pixels of the electro-optic panel,
• wherein the prism elements each include beveled portions facing an aperture between the prism elements, and
• wherein the width B of an opening of the prism element, the depth H of the prism element, the incident angle θL of a light ray emitted from the light source and entering the beveled portion from the distal end side of the prism element and being reflected by the beveled portion, and the width W of the aperture between the prism elements satisfy the following expression:
• H×tan(2×atan(B/2H)+θL)−B/2<W

An electro-optic device having a light source and an electro-optic panel having a plurality of pixels arranged in a matrix pattern, comprising

• a converging substrate formed of a transparent substrate having groove-shaped prism elements formed in an array pattern,
• wherein the prism elements are arranged along boundary areas of the pixels of the electro-optic panel,
• wherein the prism elements each include beveled portions facing an aperture between the prism elements,
• wherein the prism elements each are formed into a trapezoidal side cross-section, and
• wherein the width B of an opening of the prism element, the width A of a flat portion of the prism element, the depth H of the prism element, the incident angle θL of the light ray emitted from a light source and entering the beveled portion from the distal end side of the prism element and being reflected by the beveled portion, and the with W of the aperture between the prism elements satisfy the following expression:
• H×tan(2×atan((B−A)/2H)+θL)−(B−A)/2<W

A substrate for an electro-optic device which is applicable as converging members for pixels of the electro-optic device, comprising:

• groove-shaped prism elements arranged on one surface of a transparent substrate in an array pattern,
• wherein the prism elements each include beveled portions facing the aperture between the prism elements,
• wherein the width B of an opening of the prism element, the depth H of the prism element, the incident angle θL of the light ray emitted from a light source and entering the beveled portion from the distal end side of the prism element and being reflected by the beveled portion, and the width W of the aperture between the prism elements satisfy the following expression:
• H×tan(2×atan(B/2H)+θL)−B/2<W

A substrate for an electro-optic device which is applicable as converging members for pixels of the electro-optic device, comprising:

• groove-shaped prism elements arranged on one surface of a transparent substrate in an array pattern,
• wherein the prism elements each include beveled portions facing an aperture between the prism elements,
• wherein the prism elements each are formed into a trapezoidal side cross-section, and
• wherein the width B of an opening of the prism element, the width A of a flat portion of the prism element, tile depth H of the prism element, the incident angle θL of the light ray emitted from the light source and entering the beveled portion from the distal end side of the prism element and being reflected by the beveled portion, and the width W of the aperture between the prism elements satisfy the following expression:
• H×tan(2×atan((B−A)/2H)+θL)−(B−A)/2<W

A converging substrate comprising:

• a first main surface on which a plurality of prism elements are formed, and
• a second main surface opposing the first main surface,
• wherein the plurality of prism elements each are formed into a groove shape,
• wherein side walls of the plurality of prism elements each include a first portion and a second port on, and
• wherein a first angle between the normal line of a flat portion of the first main surface on which the plurality of prism elements are not formed with respect to the first portion is different from a second angle between the second portion and the normal line.

A converging substrate comprising:

• a first main surface on which a plurality of prism elements are formed;
• and
• a second main surface opposing the first main surface,
• wherein the width B of an opening of a first prism element from among the plurality of prism elements, the depth H of the first prism element, the incident angle θL of a light ray emitted from a light source, and incoming from the second main surface side and being reflected by the side walls of the first prism element, and the width W between the first prism element and a second prism element adjacent to the first prism element from among the plurality of prism elements satisfy the following expression:
• H×tan(2×atan(B/2H)+θL)−B/2<W