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简介 \5DOp-2 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 Y]neTX [ef AQgagE^ 模型 M0K+Vz= Qm@v}pD 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 1X-fiQJe yL#2|t( Table 1. AZ眼睛模型的定义 B&Iy_; 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. 5Y#~+Im=[@ ~{$5JIpCm 光源 `nv82v oi\e[qE 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 q[5& Dssecc' Yq0j w&v
图1. 光源和提示信息使用 I?X!v6 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 QLDld[ GF17oMi 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 <2ymfL-q z;1qYW[-A 图2. 字母F光源的设定方法光 \(;X3h IRK(y*6 图3. 字母F在视网膜上位置点列图 VWT\wAL 视网膜的散射 Z"5ewU<? E-i<^&E 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 |m>{< : E3d# T j6#RV@ p` 图4. 视网膜朗伯散射设定 Rdl^-\BV 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 &pN/+,0E ~@ML>z7 (4"Azo*~![ 图5. 视网膜重点采样规格设定 R}0xWPt9G 脚本 q %hxU.h Y N*"q'Yz_ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: eG08Xt|lc Av,E|C 图6. 用户对话框的创建与编辑 |yYu!+U 图7. 用户对话框编辑器 ]}A3Pm- t* 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 |P`: NAf2 余下的脚本计算与屈光度有关的所有参数。 B`/p[ U5 woyeKOr 分析 ZuVes?&j Xw]L'+V= 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 gQlL0jAV =plU3D2 图7. 字母F在视网膜上颜色分析 0})mCVBY 脚本代码 #9u2LK K pSho< Option Explicit 'Remove this to enable non-dimensioned variables to be used. Uv%?z0F<C xyPz_9 Dim entity As T_ENTITY HV\l86} Dim op As T_OPERATION 65AG#O5R Dim mat As T_MODELMATERIAL D>m!R[!o Dim A As Double {/K_NSg+h Dim pupilDiam As Double y)D7!s Dim eID As Long ^gd[U C-"w Dim parID As Long Yxd&hr Dim count As Integer /><+[\q4LM Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double MNVOlo A Dim tlens As Double, nlens As Double g4NbzU[I Dim curv As Double, conic As Double d,*#yzO Dim ok As Long KQ2jeJ/pj qJq2Z.>hy Sub Main ht5eb"c+8 * vW#XDx '用户输入对话框 %eQw\o,a Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 e sDd>W TextBox 220,21,40,21,.TextBox1 'default: 0 #b5V/)K Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 6ujePi <U OKButton 40,91,90,21 ~CQTPR CancelButton 190,91,90,21 <imIgt|`2 Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 $Oi@B)=4d+ TextBox 220,49,40,21,.TextBox2 'default: 4 (|_N2R! End Dialog 61=D&lb Dim dlg As UserDialog a534@U4, LS{t7P9K ok = Dialog (dlg) iw?*Wp25 zD%@3NA41 If ok=0 Then 'cancel button was pressed e
QGhX( Print "Execution cancelled." `2.2; Vk End '/v@q]! End If a^QyYX}\qR ?R8wm E[w 'Assign accommodation and pupil diameter & use defaults if field left empty J-)9>~[E< If dlg.TextBox1 = "" Then X0e#w? A = 0 'Default accommodation y;1l].L Else <yz&>
+9, A = CDbl(dlg.TextBox1) < rqFBq8 End If VMb r@9 iQJ[?l` If dlg.TextBox2 = "" Then WC
*e#QP pupilDiam = 4 'Default pupil diameter +ew9%={zB Else ;8J+Q0V pupilDiam = CDbl(dlg.TextBox2) xI b^x=|h End If TX7]$Wj +=&A1{kR3 Print " " o:8*WCiqrN Print "Accommodation = " & A & " Diopters" YH^h?s Print "Pupil Diameter = " & pupilDiam & " mm" Tye[iJ Q{"QpVY8 ' Calculate new parameters with accommodation :UDT!
5FNO taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness MPI=^rc2 `am]&0g^+( Rant = 12.0 - 0.4*A 'Radius of anterior lens <C6*-j1oz CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens L]ce13K rj> _L Rpost = -5.224557 + 0.2*A 'Radius of posterior lens F|3iKK022 CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens oP 4z>
[9>h! khs tlens = 3.767 + 0.04*A 'Lens thickness 4A@77#:J5 oo{3-+ ? nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction vk]vtjf&% 'g7eN@Wh.z 'Adjust parameters to account for accommodation o2vBY]Tj 1Zj NRg= '************************************************************************* k;W`6:Kjp 'Aqueous thickness (Position of Lens) S#wy+* '************************************************************************* QFYO_$1Y) eID = FindFullName( "Geometry.Arizona Eye.Lens" ) *%,{<C,Y GetCustomElement eID, entity %=GF fu]mxGPc parID = FindFullName( "Geometry.Arizona Eye" ) jJOs`'~Q\ cN(Toj'` ' Delete any shift(s) in z >*FH JCe count = 0 M7JQw/,xs While GetOperationCount(eID)>count dqu+-43I| GetOperation eID, count, op 4Cn%
h)w If op.Type="ShiftZ" Then cEc_S42Z DeleteOperation eID,count K,'v{wSr count=count-1 quGvq"Y> End If GL<u#[ count=count+1 zXRq) ;s Wend CW)JS3}W" ~?#B(t 'Set new shift in rrL
gBeQa op.Type = "ShiftZ" Tb@r@j:V op.val1 = taq ^}PG*h| op.parent = parID Jv+N/+M47 AddOperation eID, op 1q7Y,whp Print "Set aqueous humor thickness = " & taq-0.55 o&Vti"fpC 8uZM%7kI6+ '************************************************************************* |0Y:
/uL#) 'Radius and conic constant of anterior lens UG5AFZ\ '************************************************************************* {#o0vWS> eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) >&g^ ` GetConic eID, entity, curv, conic m2|%AD ]QbT%0 SetConic eID, entity, 1/Rant, CCant k/;%{@G) Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Vw>AD<Rl >L_nu.x '************************************************************************* lH#C:n 'Radius and conic constant of posterior lens jr`;H '************************************************************************* uihU)]+@t/ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) %/:0x:ns GetConic eID, entity, curv, conic f2f2&|7 rTmVHt SetConic eID, entity, 1/Rpost, CCpost Wp2$L-T&$ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost >=+:lD 818,E '************************************************************************* c`E0sgp 'Lens thickness (Position of posterior lens surface) |@*3
nb8 '************************************************************************* rQb=/@- mY1Gm| parID = FindFullName( "Geometry.Arizona Eye.Lens" ) t|jp]Vp 0`y*7.Ip ' Delete any z-shift(s) yRyUOTK count = 0 FBP'AL| While GetOperationCount(eID)>count km,I75o. GetOperation eID, count, op p`I[3/$3 If op.Type="ShiftZ" Then )kpNg:2p DeleteOperation eID,count C4H$w:bVk count=count-1 f]C`]qg End If qOs'Ljx6l count=count+1 "pInb5F Wend h; "pAE dMlJ2\]u 'Set new z-shift +
\jn$>E op.Type = "ShiftZ" \~BYY|UB;W op.val1 = tlens 7RZ HU+ op.parent = parID pAtt=R,Ht AddOperation eID, op 3o^~6A Print "Set lens thickness = " & tlens B"Hz)-MW
#Y%(CI '************************************************************************* F6Ne?[b 'Lens index of refraction |QHIB?C?` '************************************************************************* UY}EW`$#m eID = FindMaterial( "Lens" ) s^R$u"pFs GetModelMaterial eID, mat m8Y>4:Nw 1/tyne=m mat.Nd = nlens 7I=vgT1F SetModelMaterial eID, mat ^9zlxs`<d
Print "Set lens index of refraction = " & nlens j^)=<+Q;= C1w6[f1+ '************************************************************************* #DA ,* 'Pupil diameter Ov~vK\ '************************************************************************* 7:'5q]9 eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) S| @QfbIP9 'Adjust pupil diameter (trimming volume inner hole) u$rSM0CJ qE*h UzA SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" U7xKu75G1 cMoBYk ' Adjust pupil location to just in front of the lens [5;_XMj% parID = FindFullName( "Geometry.Arizona Eye" ) Aj{G=AT eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ?Ll1B3f count = 0 '>:%n While GetOperationCount(eID)>count `1i\8s&O6@ GetOperation eID, count, op ;-quK%VO! If op.Type="ShiftZ" Then #:E^($v DeleteOperation eID,count 'byao03 count=count-1 ,Yu2K` End If Q;k
D Jo count=count+1 (vPE?^}b Wend 7?]wAH89 op.Type = "ShiftZ" 4bq+(CI6 op.val1 = taq-0.01 xA>3]<O op.parent = parID {`+:!X AddOperation eID, op q22@ZRw 1Gw_S?$7 Print "Set pupil diameter = " & pupilDiam IXU~&5&J gJg%3K~, 'Update AZ Eye subassembly Description c|F2 6$rv eID = FindFullName( "Geometry.Arizona Eye" ) |]'gd)%S\ GetEntity eID, entity 3^`.bm4 ^ entity.Description = "Accommodation = " & A & "D" e/Y&d9`
I SetEntity eID, entity F>
b<t.yV 'e*:eBoyb Update mMtva}=* Print "DONE!" :1gcLsF ge[&og/$ End Sub ',s{N9 D6:"k
2 如果屈光度是4,光瞳直径是4,则会输出如下数据: qz
}PTx yJ2A!id Accommodation = 4 Diopters ]8|peo{ Pupil Diameter = 4 mm F>ps&h Set aqueous humor thickness = 2.81 :9W)CwZ)V Set anterior lens radius = 10.4 and conic constant = -2.375869 &t@|/~%[ Set posterior lens radius = -4.424557 and conic constant = -3.081019 6BObV/S Jg Set lens thickness = 3.927 ~-BIUZ; Set lens index of refraction = 1.42672 X({R+ Set pupil diameter = 4 Dw&_6\F@ DONE! *?!A Q@-
h (文章来源:讯技光电)
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