How Do Polygonal Mirrors Affect Scan Systems Without Lenses?

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anita1984
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Hello Forum , i have a Polygonal mirror with 6 facets of mirrors , i am working in a project for a scan system without lens . I would like to ask you about a document or books to find the formulas of : Scan Angle,The distance between the polygon and the scan plane in a system without a scan lens,The total length of the scan line in the scan plane.
Thank you in advance,
Anita
 

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I don't know of a succinct reference- maybe there's an optical design book in a library near you with a relevant chapter. All I have is a few sections in "Building Electro-Optical Systems", by Phil Hobbs.

He treats the problem purely geometrically- a 6-facet mirror gives a total angular scan of 4*pi/6, and the beam scans at constant angular frequency.

Moreover, he notes that becasue the rotation axis does not pass through a surface, the scanned beam translates as well as pivots during a line. So-called f-[tex]\theta[/tex] lenses are used to convert constant angular velocity scans to constant linear velocity scans by use of distortion.