referring now to fig1 a - c , flying spot scanning system 10 is shown . system 10 comprises stationary semiconductor laser diode 20 , transmissive optical assembly 22 , slider crank assembly 24 , and photoreceptor drum 26 . laser diode 20 generates laser light beam 58 , which travels to optical assembly 22 and is transmitted therethrough to photoreceptor drum 26 . slider crank assembly 24 causes assembly 22 to oscillate up and down laser beam 58 enters optical assembly 22 at point 66 when assembly 22 is at the uppermost limit of its travel and enters assembly 22 at point 62 when assembly 22 is at the lowermost limit of its travel . beam 58 enters assembly 22 at point 57 when assembly 22 is at the center of its travel . when assembly 22 is at the center of its travel and light beam 58 enters optical assembly 22 at point 57 , light beam 30 travels through optical assembly 22 and is transmitted as beam 60 to photoreceptor drum 26 at point 61 . when slider crank 24 displaces optical assembly 22 upwards and downwards , beam 58 enters optical assembly 22 between points 62 , 66 and is transmitted to drum 26 between point 68 and point 64 . thus , relatively small displacements of optical assembly 22 cause transmitted beam 60 to scan drum 26 the entire distance between point 64 and point 68 . this provides an efficient way to achieve a flying spot scan of drum 26 and create an image on drum 26 . system 10 may be relatively small and inexpensive compared with rotating polygon systems because optical assembly 22 is relatively small and inexpensive while still providing quality resolution . the scanned length from point 64 to point 68 along drum 26 is related to the travel distance of assembly 22 according to the magnification ratio of optical assembly 22 . photoreceptor drum 26 is a conventional photosensitive recording medium having an image forming surface for recording an image which may be encoded in beam 58 . the image formed on drum 26 may be transferred to another medium such as paper in a conventional manner . thus system 10 may provide an image for a conventional laser printer by replacing the conventional larger optics of the conventional printer . referring now in particular to fig1 a slider crank assembly 24 moves optical assembly 22 to its top position . laser diode 20 generates laser light beam 58 , which travels to optical assembly 22 . laser light beam 58 enters optical assembly 22 paraxial to optical axis 23 at point 66 , displaced from optical axis 23 by a distance equal to the distance that slider crank assembly 24 moved optical assembly 22 . laser beam 30 travels through optical assembly 22 , and emerges as laser light beam 60 , which strikes position 68 of photoreceptor drum 26 . referring now in particular to fig1 b , slider crank assembly 24 moves optical assembly 22 to the center position . laser diode 20 generates laser light beam 58 , which travels to optical assembly 22 . laser light beam 58 enters optical assembly 22 at point 57 . laser beam 30 travels through optical assembly 22 along optical axis 23 , and is transmitted as laser light beam 60 , which is focused on the center point of the scan of photoreceptor drum 26 , position 61 . referring now in particular to fig1 c , slider crank assembly 24 moves optical assembly 22 to the bottom position laser diode 20 generates laser light beam 58 , which travels to optical assembly 22 . laser light beam 62 enters optical assembly 22 at point 62 , paraxial to optical axis 23 , but displaced from optical axis 23 by a distance equal to the distance that slider crank assembly 24 moved optical assembly 22 . laser beam 30 travels through optical assembly 22 , and emerges as laser light beam 60 , which is focused on the bottom position of the scan of photoreceptor drum 26 , position 64 . the oscillations of slider crank assembly 24 and the conventional rotating advances of photoreceptor drum 26 ( not shown ) are synchronized so that laser beam 60 performs a line by line flying spot scan of photoreceptor drum 26 to provide an image on drum 26 which may be transferred to a medium such as paper ( not shown ). while a slider crank assembly is shown , it will be understood by those skilled in the art that any method of causing optical assembly 22 to oscillate substantially parallel to the scanned line and perpendicular to the axis of the light beam may be used . the reciprocating motion of optical assembly 22 may be substantially linear . it will be further understood that the drawings are not to scale . referring now to fig2 optical assembly 22 has a focal length f such that slightly diffused laser light 58 generated by laser diode 20 converges as beam 60 and strikes photoreceptor 26 as a focused spot at point 68 . the focal length f of assembly 22 is determined by the following formula : where f is the focal length of optical assembly 22 , s is the distance from laser diode 20 to optical assembly 22 , and s &# 39 ; is the distance from optical assembly 22 to photoreceptor drum 26 . because the magnification ratio of optical assembly 22 is greater than one and because of the placement of optical assembly 22 relative to laser diode 20 and photoreceptor drum 26 , a relatively small movement of optical assembly 22 causes a complete scan of photoreceptor drum 26 . the scanned distance h &# 39 ; along drum 26 between point 64 and point 68 is thus much larger than the distance h which optical assembly 22 travels during its oscillation . the amount of movement required by optical assembly 22 to accomplish a displacement of laser light 60 from center point 61 of photoreceptor drum 26 to top point 68 of photoreceptor drum 26 is thus determined by the magnification ratio of assembly 22 which may be be expressed in the following optical formulas : where s is the distance from laser diode 20 to optical assembly 22 , s &# 39 ; is the distance from optical assembly 22 to photoreceptor drum 26 , h is the distance optical assembly travels upward or downward from its center point , and h &# 39 ; is the lateral distance between point 68 and point 61 on photoreceptor drum 26 . referring now to fig3 a more detailed representation of the preferred embodiment of optical assembly 22 is shown . paraxial laser light beam 58 entering optical assembly 22 at any point 70 between points 57 , 62 emerges from assembly 22 as laser light beam 60 and strikes photoreceptor drum 26 between point 64 and point 68 . optical assembly 22 is composed of lenses 46 , 48 , 50 , 52 , 54 , 56 and having optical axis 23 . thus system 10 is a transmissive optical system rather than a reflective system . in the preferred embodiment , optical assembly 22 is composed of six lenses , but it will be understood by those skilled in the art that optical assembly 22 may contain from one lens to over six lenses . the selection of the number of lenses depends on the desired resolution , the size of optical assembly 22 , the length of the scan along drum 26 and other considerations understood by those skilled in the art . the quality of the spot produced is highest when light beam 58 enters a lens in a region where the lens surface is near normal to the optical axis and hence all angles of incidence and refraction are small . this provides a restraint on the oscillation distance of assembly 22 and hence on the scanned distance along drum 26 . to ease this restraint , additional lenses may be provided within assembly 22 in a manner understood by those skilled in the art . thus there is a trade - off between optical distortions and aberration effects on the one hand and additional lenses on the other . the additional lenses may be within assembly 22 and vibrate with assembly 22 or may be stationary lenses ( not shown ) outside of assembly 22 . in an alternate embodiment ( not shown ), optical assembly 22 may be vibrated in two dimensions rather than in one dimension . the vibration in the second dimension , orthogonal to the first dimension and to the direction of light beam 58 , may allow system 10 to scan drum 26 in two dimensions rather than the one direction illustrated between points 64 , 68 .