Claims Analysis
Total Claims: 20
Claim 1
Independent Claim
85 words
A method for uniformly exposing a workpiece to X-rays comprising: (a) designing a surface of an aspheric mirror to produce a straight line image of radiation reflected therefrom on a workpiece, said straight line having the radiation uniformly distributed along its length; (b) focusing a source of X-rays from the surface of said aspheric mirror to a straight line of X-ray radiation on the workpiece; and (c) scanning the line of X-ray radiation across the workpiece, thereby efficiently exposing the workpiece to the X-ray radiation.
Claim 2
Independent Claim
85 words
A method for uniformly exposing a workpiece to X-rays comprising: (a) designing a surface of an aspheric mirror to produce a straight line image of radiation reflected therefrom on a workpiece, said straight line having the radiation uniformly distributed along its length; (b) focusing a source of X-rays from the surface of said aspheric mirror to a straight line of X-ray radiation on the workpiece; and (c) scanning the line of X-ray radiation across the workpiece, thereby efficiently exposing the workpiece to the X-ray radiation.
Claim 3
Dependent Claim
34 words
The method as set forth in claim 1 wherein step (c) includes rotating the aspheric mirror through a scan angle so as to cause the line of X-ray radiation to scan across the workpiece.
Claim 4
Dependent Claim
34 words
The method as set forth in claim 1 wherein step (c) includes maintaining the line of X-ray radiation stationary while translating the workpiece, thereby scanning the workpiece relative to the line of X-ray radiation.
Claim 5
Dependent Claim
39 words
The method as set forth in claim 1 wherein step (c) includes reflecting the line of X-ray radiation off of a flat mirror prior to directing it to the workpiece, and rotating the flat mirror through a scan angle.
Claim 6
Dependent Claim
75 words
The method as set forth in claim 1 wherein step (b) further includes passing the radiation from said source of X-rays through an aperture slot prior to reflecting said radiation from the surface of said aspheric mirror, said aperture slot having dimensions that restrict the radiation to a beam size and shape that causes all of the radiation to be intercepted by the surface of the aspheric mirror for all positions within the scan angle.
Claim 7
Dependent Claim
104 words
The method as set forth in claim 1 wherein step (a) comprises: (1) representing the optical surface of the aspheric mirror by at least a fourth-order Maclaurin series polynomial having coefficients a yet to be specified; (2) identifying specific coefficients a ij in the Maclaurin series polynomial that correspond to offending optical aberrations; (3) selecting values for the specific coefficients identified in step (2) that minimize the offending optical aberrations; whereby the optical surface of the aspheric mirror is defined by the Maclaurin series polynomial that has the specific coefficients a identified in step (2), each having the specific values determined in step (3).
Claim 8
Independent Claim
96 words
A method of making an aspheric mirror so that a fan X-ray beam from a point source is reflected off of the surface of the aspheric mirror to a sharp, substantially straight line on a workpiece, said method comprising: (a) defining a mirror surface that focuses a point source of X-ray radiation to a straight focal line on a workpiece using a single reflection, said straight focal line including a uniform distribution of the X-ray radiation along it length; and (b) machining and polishing a mirror surface to have a shape as defined in step (a).
Claim 9
Independent Claim
96 words
A method of making an aspheric mirror so that a fan X-ray beam from a point source is reflected off of the surface of the aspheric mirror to a sharp, substantially straight line on a workpiece, said method comprising: (a) defining a mirror surface that focuses a point source of X-ray radiation to a straight focal line on a workpiece using a single reflection, said straight focal line including a uniform distribution of the X-ray radiation along it length; and (b) machining and polishing a mirror surface to have a shape as defined in step (a).
Claim 10
Dependent Claim
110 words
The method as set forth in claim 7 wherein the step of defining the mirror surface comprises: (1) representing the optical surface of the aspheric mirror by at least a fourth-order Maclaurin series polynomial having coefficients a ij yet to be specified; (2) identifying specific coefficients a ij in the Maclaurin series polynomial that correspond to offending optical aberrations; and (3) determining values for the specific coefficients identified in step (2) that minimize the offending optical aberrations; whereby the optical surface of the aspheric mirror is defined by the Maclaurin series polynomial having the specific coefficients a ij identified in step (2), each having the values determined in step (3).
Claim 11
Dependent Claim
39 words
The method as set forth in claim 8 wherein step (2) includes selecting the values of a ij to belong to the set (i+j)<n, where n is an integer selected to yield a specified straightness of the focal line.
Claim 12
Dependent Claim
23 words
The method as set forth in claim 9 wherein the value of n is selected to be greater than or equal to four.
Claim 13
Dependent Claim
22 words
The method as set forth in claim 8 wherein step (3) includes setting a 00 =a 01 =a 10 =a 11 =0.
Claim 14
Dependent Claim
65 words
The method as set forth in claim 11 further including: expanding the Maclaurin series polynomial to obtain a series of terms, which terms include the coefficients a ij , setting the terms of the Maclaurin Series polynomial up to the fourth order equal to zero, and solving each term to determine a value of the coefficient a ij that causes the term to be zero.
Claim 15
Dependent Claim
36 words
The method as set forth in claim 12 wherein the selected coefficients of the Maclaurin series polynomial include a 20 , a 02 , a 04 , a 30 , a 22 and a 40 .
Claim 16
Dependent Claim
17 words
The method as set forth in claim 13 wherein the selected coefficients further include a 14 .
Claim 17
Dependent Claim
37 words
The method as set forth in claim 8 further including evaluating the design of the mirror surface as defined by the Maclaurin series polynomial with said specific coefficients a having said determined values using ray tracing techniques.
Claim 18
Dependent Claim
12 words
An aspheric mirror made in accordance with the method of claim 8.
Claim 19
Independent Claim
137 words
A method of making an aspheric mirror having a surface so that a fan X-ray beam from a point source is reflected off of the surface to a sharp, substantially straight line on a workpiece, said method comprising the steps of: (1) representing the optical surface of the aspheric mirror by a Maclaurin series polynomial having coefficients a ij yet to be specified; (2) identifying specific coefficients a ij in the Maclaurin series polynomial that correspond to offending optical aberrations; (3) selecting values for the specific coefficients identified in step (2) that minimize the offending optical aberrations; and (4) machining and polishing a mirror surface using numerically controlled machining and polishing techniques as defined by the Maclaurin series polynomial having the specific coefficients a ij identified in step (2), each having the values determined in step (3).
Claim 20
Independent Claim
137 words
A method of making an aspheric mirror having a surface so that a fan X-ray beam from a point source is reflected off of the surface to a sharp, substantially straight line on a workpiece, said method comprising the steps of: (1) representing the optical surface of the aspheric mirror by a Maclaurin series polynomial having coefficients a ij yet to be specified; (2) identifying specific coefficients a ij in the Maclaurin series polynomial that correspond to offending optical aberrations; (3) selecting values for the specific coefficients identified in step (2) that minimize the offending optical aberrations; and (4) machining and polishing a mirror surface using numerically controlled machining and polishing techniques as defined by the Maclaurin series polynomial having the specific coefficients a ij identified in step (2), each having the values determined in step (3).