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Abstract
We propose a miniature anamorphic lens design that records wide-screen videos on an ordinary CMOS format. The front group consists of two freeform lenses, which achieve different focal lengths in the two orthogonal directions and thus enable the anamorphic characteristics. The rear group is made of rotationally symmetric aspheric elements that relay the image on the sensor. The annularly stitched extreme-point-based polynomial surface description is proposed to control the extreme point position and the air clearance between elements in the optimization process. An optimization method based on surface upgrade and conversion is adopted in the design. The design result offers an anamorphic ratio of 1.33 and an f-number (f / #) of ∼2, with a field of view of 65.3 deg × 35 deg. The overall length of the lens is 9.5 mm, which shows an advantage for integration into pocket devices.
Highlights
Anamorphic lenses, which have different magnifications in the X and Y directions, are widely used in cinematography to optically record a wide-screen picture on a regular sensor
First invented for film cinematography, this type of lens design has experienced an expansion from the beginning of this century.[1,2,3,4,5,6,7]
The most common way to obtain an anamorphic ratio in lens systems is to use optical elements with different optical powers in the X and Y directions, e.g., inserting cylindrical lenses or toroidal lenses into imaging systems
Summary
Anamorphic lenses, which have different magnifications in the X and Y directions, are widely used in cinematography to optically record a wide-screen picture on a regular sensor Such a lens with an anamorphic ratio of 1.33 is able to image a 2:1 format scene on a 3:2 format sensor without loss of effective pixels. Anamorphic characteristics are obtained from the off-axis effect by inserting prisms or off-axis reflective mirrors.[8,9,10] But the most common way to obtain an anamorphic ratio in lens systems is to use optical elements with different optical powers in the X and Y directions, e.g., inserting cylindrical lenses or toroidal lenses into imaging systems. Zhang et al.[14] studied the thin lens aberration properties for anamorphic lenses and put forward a paraxial lens design method, and they studied the condition when the anamorphic ratio is related to object
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