Patent ID: 8403549

Claim:
An optical device with lenticular arrays, comprising: an array layer having a first refractive index (n 1 ) and comprising pluralities of lenticular lenses disposed on a base surface side by side, each of the lenticular lenses containing a curving structure with a peak, a trough, a curvature radius (R), a width (P) and an altitude (H) between the peak and the trough, the trough being disposed on the base surface, the array layer having a first critical angle (θ 1c ) relative to the normal line of the base surface and satisfying θ 1 ⁢ ⁢ c = sin - 1 ⁡ ( 1 n 1 ) and H = R 1 + K ⁡ [ 1 - 1 - ( 1 + K ) ⁢ ( P 2 ⁢ R ) 2 ] , the conical constant (K) of the lenticular lens ranging from −2.1 to −1.5; a second refractive layer being adjacent to the array layer and having a second refractive index (n 2 ) and a second critical angle (θ 2c ) relative to the normal line of the second refractive layer, the first refractive index (n 1 ) being greater than the second refractive index (n 2 ) and θ 2 ⁢ ⁢ c = sin - 1 ⁡ ( n 2 n 1 ) being satisfied; wherein the lenticular lens, the first critical angle (θ 1c ) and the second critical angle (θ 2c ) satisfy the equation of sin - 1 ⁡ ( 1 n 1 ) ≤ cot - 1 ⁡ ( H P ⁢ / ⁢ 2 ) < sin - 1 ⁡ ( n 2 n 1 ) .