fig1 is a cross - sectional diagram illustrating a single radial light distribution module containing a quasi - point light source such as an led within a radially collimating ring optic rc , further surrounded by a reflective ring rr having a conically reflecting surface crs . rc projects a radial collimating beam rcb onto the substantially specular conical surface crs of rr which in turn reflects canted radial beam crb 1 which has a projected beam angle pa . pa is substantially focused on and passes through the axis ax of rc . the function of rld is similarly discussed in my co - pending patent application ser . # 11 / 034 , 395 . rld is supported within an optically transmissive tube ts . fig1 a is a cross - sectional diagram of a lumenair lum illustrating multiple rld modules ( shown in fig1 ) rld 1 , rld 2 , and rld 3 , all having similar radially collimating ring optics rc 1 , rc 2 , and rc 3 respectively , as well as similar reflective ring surfaces crs 1 , crs 2 , and crs 3 respectively ; therefore , the projected respected beam angles pa 1 , pa 2 , and pa 3 are substantially equal . fig1 a further illustrates that the distance between rld 2 and rld 3 can be the same or different , varying in distance by shifting rld 1 , rld 2 , and rld 3 in relationship to each other along axis ax as illustrated by graphic arrow dv . although fig1 a illustrates three rlds , any number of rlds may be employed along ax at equal and or varying distances from each other . fig1 b is a cross - sectional diagram similar to that of fig1 a , illustrating rld 1 , rld 2 , and rld 3 , each having differing cross - section curvatures of the reflecting ring &# 39 ; s surfaced crs 1 , being substantially flat ( as in fig1 ), crs 2 having a shallow concave surface ( round , parabolic , or ellipsoidal ), than crs 3 . crs 1 reflects radial beam rb 1 as canted beam crb 1 , the cross - sectional divergence of which is substantially equal to rb 1 . crs 2 reflects rb 2 as convergent , then divergent ( in section ) crb 2 . crs 3 reflects rb 3 as beam crb 3 , which is more rapidly converging and then diverging than crb 2 due to the greater optical power of crs 3 than crs 2 . the spacing and number of rlds can vary as described in fig1 a due to the greater optical power of crs 3 than crs 2 . the spacing and number of rlds can vary as described in fig1 a . fig1 c is a cross - sectional diagram illustration of a grouping of rld modules as shown in fig1 a , with the addition of wedge prism rings rwp 1 and rwp 2 , which are substantially concentric and share the same optical axis as rr 1 . reflector rings rr 2 and rr 3 respectively and wedge prism rings rwp 1 and rwp 2 have the function of altering the radial beam pitch angle pa 2 and pa 3 , as illustrated as ra 2 and ra 3 . angle a ( aa ) represents the cross - sectional angle between the faces of the wedge prism ring ( pwr ). the greater the angle , the greater the deviation in beam direction ; the approximate function of a wedge prism is , for each degree of angle difference , the beam deviation equals one - half degree . further , the wedge prism function is to bend the beam in the direction of the wider part of the prism . fig1 d is a cross - sectional diagram of a partial lumenair lum comprised of three rld modules rld 1 , rld 2 , and rld 3 similar to those illustrated in fig1 . although each of the reflective surfaces crs 1 , crs 2 , and crs 3 has a different respective cant angle a 1 , a 2 , and a 3 , a 1 is most acute ; therefore the angle pa 1 ( formed by the reflected beam angle bc 1 , and gp , a plane perpendicular to ax ) is most acute . cant angle a 2 or crs 2 is less acute than al and therefore pa 2 is less acute than pa 1 . it follows that if a 3 is less acute than a 2 , then pa 2 is less acute than pa 2 . fig2 is a cross - sectional diagram of an off - axis radial beam projector comprised of a quasi - point light source at least partially surrounded by an off - axis ring collimator crc , projecting canted radial beam rb 1 through a clear tubular support ts which is not essential for the light distribution provided by off - axis radial distributor ord . baffle ring br blocks visual brightness emanating from crc providing full cutoff of light that is not projected from the lens . the function of ord is further elaborated and described in my co - pending application ser . # 11 / 034 , 395 . fig2 a is a cross - sectional diagram of an off - axis radial beam projector comprised of multiple ords , ord 1 , ord 2 , and ord 3 , each projecting radial beams rb 1 , rb 2 , and rb 3 respectively , each having substantially equal cant angles ca 1 , ca 2 , and ca 3 respectively . the distance between ord 1 and ord 2 , and the distance between ord 2 and ord 3 , is equal . hst is a typical heat sing shown attached to led of ord 2 , shaped as a cone so as not to obstruct rb 1 . fig2 b is a cross - sectional diagram of a device similar to that shown in fig2 a , differing in that the distance between ord 1 and ord 2 and the distance between ord 2 and ord 3 can be equal or be different by shifting one ord in relation to another along axis ax . fig2 c is a cross - sectional diagram of a partial lumenair lum , comprised of ord modules ord 1 , ord 2 , and ord 3 , similar to those shown in fig2 . the relationship between the cant angles a 1 , a 2 , and a 3 of crs 1 , crs 2 , and crs 3 respectively to the relationship of pa 1 , pa 2 , and pa 3 is described and elaborated on in fig1 d . fig3 is a cross - sectional diagram of an off - axis radial beam projector similar to the one illustrated in fig2 with the addition of reflector ring rr , the function and description of which is elaborated upon in fig1 . fig3 a illustrates a radial beam projector containing two orr modules orr 1 and orr 2 as described in fig3 . the cross - sectional surfaces of rr 1 and rr 2 , crs 1 and crs 2 function and differ from each other in substantially the same way as crs 1 and crs 2 of fig1 a . fig4 is a cross - sectional diagram illustrating an ord module similar to that shown in fig2 with the addition of wedge prism ring wpr , which alters the cross - sectional direction of radial beam rb as radial beam rba . fig4 a is a cross - sectional diagram of a grouping of ord modules , ord 1 , ord 2 , and ord 3 , projecting rb 1 , rb 2 , and rb 3 ( all canted at the same angles ) onto and through surrounding wedge prism rings wrp 1 , wrp 2 , and wrp 3 respectively . angle a 1 of wrp 1 is greater that a 3 of wrp 2 and therefore the variation between the sectional beam angle ba 1 and its angle ra 1 once refracted ( bent ) by rwp 1 is greater than the variation between the sectional beam angle ba 2 and its angle ra 2 once refracted ( bent ) by rwp 1 . further , the angle a 3 of rwp 3 is in the reverse direction of both a 2 of rwp 2 and a 3 of rwp 3 causing the cross - sectional difference between ba 3 and its angle once refracted ra 3 to be greater than the difference between ba 1 and ra 1 , and ba 3 and ra 3 . this is further elaborated on in fig1 with the explanation of the function of the wedge prism ( ring ). the radial collimator rc of fig1 can also be used in substitution of crc in fig3 with wpr of fig4 . fig5 is a cross - sectional diagram of two rld modules , rld 1 and rld 2 , similar in function to those of rld of fig1 , 1 a , or fig1 b or fig1 c with the addition of retro reflector rings rer 1 and rer 2 respectively . rer 1 and rer 2 ( which at least partially surround ax ) reflect rays crb 1 and crb 2 as rays drb 1 and drb 2 respectively , which project in the same radial direction as crb 1 and crb 2 ( that are not reflected by rer 1 and rer 2 ) respectively . although 2 rcd modules are shown , any number of modules can be combined . fig6 is a cross - sectional diagram of an off axis radial beam projector comprising two ord modules ord 1 and ord 2 projecting canted radial beams rb 1 and rb 2 respectively . reflector rings rer 1 and rer 2 which partially surround ax , reflect a portion of ord 1 and ord 2 as partial canted radial beams dr 1 and dr 2 respectively in the same radial direction as rb 1 and rb 2 respectively . fig7 is a cross - sectional diagram of two modules rc 1 and rc 2 , each containing a quasi - point light source and a radially collimating ring optic similar to rc of fig1 , with the addition of compound reflectors drr 1 and drr 2 respectively . drr 2 and drr 2 are comprised of two truncated conical reflectors cu 1 and cu 2 , and cl 1 and cl 2 , joined at the large diameters so that rays rcb 1 are reflected by cu 1 onto cu 2 and exit as rays dr 1 , which are projected in the same radial direction as rays cb 1 . similarly rays rcb 2 are reflected by cl 1 onto cl 2 , which are reflected by cl 3 as rays dr 2 . fig8 is an elevation view diagram of a lumenair lum comprised of radial light distribution modules lm 1 , lm 2 , llm 3 and lm 5 , mounted within tubular support ts . all the lm modules can be of a single type as any of the those shown in fig1 , 1 a , 1 b , 1 c , 2 , 2 a , 2 b , 3 , 3 a , 4 , 4 a , 5 , 6 , or 7 , or be a combination of any of the radial light distribution modules shown ; however , fig8 is primarily illustrating the use of multiples of a single type of radial light distribution module . the distance d 1 , d 2 , d 3 , d 4 , and d 5 between the modules increases between each of the modules as the distance of the modules decreases from the ground ( surface ) plane gp . each module shown projects a radial beam having a beam center bc 1 , bc 2 , bc 3 , bc 4 , and bc 5 respectively each at substantially the same angle a 1 , a 2 , a 3 , a 4 , and a 5 to gp . therefore , the distances between the modules d 1 , d 2 , d 3 , d 4 , and d 5 are substantially the same ratios to the distances at gd 1 , gd 2 , gd 3 , gd 4 , and gd 5 between the beam centers that strike gp . referencing the reverse square law , it becomes necessary to provide an increasingly higher concentration of light further from the source , in order to maintain uniform brightness as the distance from the source increases . one way of achieving uniform brightness is to increase the density of projected beams as the distance from the source increases . this is clearly illustrated in the system described in this figure ( 8 ) and is further illustrated in fig1 a and 1b . fig9 is an elevation view of a lumenair lum mounted on a ground plane gp comprised of a grouping of radial light distribution modules lm 1 , lm 2 , lm 3 , and lm 4 ( mounted within ts ). the distance d 1 , d 2 , d 3 , and d 4 between and relative to the modules is substantially equal . each lm module projects a radial beam ( their respective centers are represented by bc 1 , bc 2 , bc 3 , and bc 4 ) and are all projected at different angles ( a 1 , a 2 , a 3 , and a 4 ) to gp , the angles becoming progressively steeper to the ground plane from a 1 through a 4 . one way this can be achieved by using the optical system described in fig1 c , 4 c , 1 d , and z 1 . also differing reflective surfaces as represented by crs 1 , crs 2 , and crs 3 of fig1 b can be incorporated to change the beam spread of any or all the lm modules illustrated in fig9 ( or in fig8 ). generally , the lm module that is closest to the ground plane ( lm 4 ) would contain the cr 5 surface that creates the widest beam divergence . conversely , the lm module that is furthest from gp ( lm 1 ) would contain the crs surface that creates the narrowest beam divergence . the substantially concentric areas of gp that receive projected light from lm 1 , lm 3 , lm 3 , and lm 4 are gd 1 , gd 2 , gd 3 , and gd 4 which become progressively wider as they get closer to the lumenair lum . fig1 is an elevation view of a lumenair lum comprised of lm modules lm 1 , lm 2 , lm 3 , lm 4 , lm 5 , and lm 6 projecting radial beams ( represented by beam centers bc 1 , bc 2 , bc 3 , bc 4 , bc 5 , and bc 6 ) onto gp . in order to achieve relatively even brightness throughout bp , lm 1 , lm 2 , and lm 3 are stacked closely together , projecting beams a 4 and a 5 which are wider than lm 1 , lm 2 , and lm 3 . lm 6 projects the widest beam , a 6 , onto gd 3 . bc 1 , bc 2 , bc 3 , bc 4 , bc 5 and bc 6 are all projected at equal angles represented by a , a 1 , a 2 , a 3 , a 4 , and a 5 . although fig8 , 9 , and 10 illustrate lums mounted to gp , lums can be inverted and mounted to ceilings or be mounted to walls to spread indirect illumination . fig1 is a perspective view of a room rm containing four lum lumenairs . each lumenair is comprised of one or several types of radial beam modules as described in fig1 through 7 . lum 1 is a ceiling - mounted ir lumenair having an up - light indirect distribution as illustrated and described in fig8 , 9 , and 10 , and a down - light distribution dr provided by inverted lum modules as those lums that provide the up - light distribution . lum 2 is a lumenair mounted substantially perpendicular to wall w providing substantially 180 ° downward illumination on picture p . lum 2 is comprised of an optical system similar to that of either or fig5 , 6 , and 7 . lum 4 is a table t lamp providing down - light to t . fig1 illustrates a limited number of total uses for the optical configurations in this patent application . others include outdoor poles , bollards , path lights , wall packs , etc . fig1 is a sectional view of a lumenair lum containing stacked groups of any combination of lms or ords as described in fig1 through 7 or any stacked series of quasi - point sources such as leds . module lm is mounted to a heat sink hs 11 , hs 2 , hs 3 , hs 4 , and hs 5 . in the case of leds , this is necessary to maintain lumen output and led light . each heat sink is constructed in such a way as to allow air to pass through from one to another represented by hf rising through hs 5 to and through hs 1 . lum of fig1 is also comprised of tubular form ts which substantially encompasses the stack of modules lm 1 through lm 5 and their associated heat sinks hs 1 through hs 5 . ts acts to provide a chimney effect for hf rising through lum . fig1 a is a three - dimensional diagram of one type of heat sink that may be utilized as an example of the lumenair shown in fig1 . the quasi - point source led is mounted to hs 1 . surrounding the mount of led on hs 1 are vent holes vh in hs 1 , allowing air to rise through . fig1 b is a three - dimensional diagram of another type of heat sink hs 2 . hs 2 contains a mount for an led and radiating fins that allow air to pass through the space between the fins vs . fig1 c is a side view of a heat sink hst 2 which is similar to hs 2 of fig1 b , differing in that the fins f 2 are tapered so as not to obstruct canted radial beam rr projected by an lm or ord ( not shown ). fig1 d is a side view diagram of two quasi - point light sources led 1 and led 2 mounted back to back on the same flat heat sink hs . fig1 e is a section view diagram of a heat sink hsr on which is mounted a quasi - point light source rld that can or can not be surrounded by a collimating ring , further surrounded by a reflective surface rs . fig1 is a cross - sectional diagram of a lumenair comprised of 3 quasi - point light sources led 1 , led 2 , and led 3 , each at least partially surrounded by a reflector system r 1 , r 2 c , and r 3 respectively . the function of reflective surface ps 1 of r 1 ( which may be parabolic , ellipsoidal , or spherical ) is to collect rays b emanating from led 1 and redirect them as rb onto the reflective surface crs 1 of substantially conical reflector cr which in turn reflects rb as radial beam rrb 1 . the function of reflectors r 2 to r 3 is similar to that described between r 2 and r 1 . r 2 c is comprised of two elements , a light collimating element r 2 similar in description and function to r 1 , and a conical reflecting element cr ( both on the same optical axis ). r 3 is a single element combining a collecting surface rl 3 and a substantially conical surface crs 2 . crs and or crs 2 can be straight in section ( as shown ) or convex or concave . it is to be understood that the above - described embodiments are simply illustrative of the principles of the invention . various and other modifications and changes may be made by those skilled in the art which will embody the principles of the invention and fall within the spirit and scope thereof .