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简介 {z@vSQ=)=P "+nURdicO 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。 ?O4Dhu F&lc8 模型 y(.WK8
%n}fkj' 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。 z('93vsO &%u,b~cL? Table 1. AZ眼睛模型的定义 nq/xD;q 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. +6<MK; pI(FUoP^ 光源 [$[t.m +Q-~~v7, 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 n4."}DO UMhM8m!=o 6El%T]^ 图1. 光源和提示信息使用 w#PaN83+ 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 od^ha =5Q;quKu^5 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 Rz=]KeZu tY# F8a& 图2. 字母F光源的设定方法光 m$LZ3=v%8 D4#,9?us 图3. 字母F在视网膜上位置点列图 )CR8-z1` 视网膜的散射 qWE"vI22M
L$jyeFB5 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 HqYaQ~Dth vy|}\%*r~ HwST^\Ao 图4. 视网膜朗伯散射设定 pNiqb+^nz 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 :L`z~/6 3'/wRK l mz\m^g3 图5. 视网膜重点采样规格设定 GUN<ZOYb= 脚本 bjT0Fi0- 8#Z$}?W 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: +'#d*r91@ ZN4&:9M 图6. 用户对话框的创建与编辑 ?J6hiQvL 图7. 用户对话框编辑器 Jb
tbW&EH 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。 W2^eE9 余下的脚本计算与屈光度有关的所有参数。 n.1a1 Tf 7H>dv' 分析 ^E:;8h4$9 tQl= 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 n,HWVo>([ }+=@Ci 图7. 字母F在视网膜上颜色分析 MPL2#YU/a 脚本代码 _v$mGZpGY *n[Fl
Option Explicit 'Remove this to enable non-dimensioned variables to be used. ]iNSa{G R>0ta
Q Dim entity As T_ENTITY
?5GjH~ Dim op As T_OPERATION dO8Z {wfs Dim mat As T_MODELMATERIAL &Y#9~$V= Dim A As Double [FCNW0NV Dim pupilDiam As Double _%L3?PpF" Dim eID As Long 3=K-+dhk|t Dim parID As Long }oU&J81 Dim count As Integer Sv>aZ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double 1Gqtd^*; Dim tlens As Double, nlens As Double QB@*/Le Dim curv As Double, conic As Double C3<3 Dim ok As Long !EW]:u VI+Y 4T@ Sub Main q;AQ6k( m76]INq '用户输入对话框 'V>+G>U Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 OB^ TextBox 220,21,40,21,.TextBox1 'default: 0 -OW$ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 {Y/ OKButton 40,91,90,21 6/n;u{| CancelButton 190,91,90,21 _j2`#|oG Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 SMy&K[hJ[ TextBox 220,49,40,21,.TextBox2 'default: 4 V('b|gsEo End Dialog [a
Z)*L
; Dim dlg As UserDialog QMsnfG v m$v[ ok = Dialog (dlg) M<L<mP} xAO]u[J If ok=0 Then 'cancel button was pressed r\1*N.O3|O Print "Execution cancelled." {38aaf|'/ End
*>#cs#) End If z&:[.B ynd}w
G' 'Assign accommodation and pupil diameter & use defaults if field left empty wb?hfe If dlg.TextBox1 = "" Then D|BN_ai9 A = 0 'Default accommodation ZN1p>+oY! Else 8]L.E A = CDbl(dlg.TextBox1) <wA_2S
Y End If
4NzHzn lt]U?VZ If dlg.TextBox2 = "" Then !6%mt} h pupilDiam = 4 'Default pupil diameter LH8?0N[ Else :({<"H)!' pupilDiam = CDbl(dlg.TextBox2) `fRy"44nR End If G@'0vYb# RAxz+1JT Print " " g:)vthOs Print "Accommodation = " & A & " Diopters" /l`XJs Print "Pupil Diameter = " & pupilDiam & " mm" |q>Mw-= X>4`{x ` ' Calculate new parameters with accommodation b(VU{cf2d taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness GwycSb1 -$q/7,os Rant = 12.0 - 0.4*A 'Radius of anterior lens I6fpXPP). CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens {MtB!x aVb]H0 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens E6gEP0b CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens V Y3{1Dlf ]3,0
8JW= tlens = 3.767 + 0.04*A 'Lens thickness +g[B &A!d+ w;(gi nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction :&%;s*-9 9|`@czw 'Adjust parameters to account for accommodation Z^l!y5s/H m [g}vwS '************************************************************************* Y<+4>Eh 'Aqueous thickness (Position of Lens) t;]egk '************************************************************************* /z5lxS@# eID = FindFullName( "Geometry.Arizona Eye.Lens" ) #77UKYj2L- GetCustomElement eID, entity SS~Q ;9o t["Df;"O parID = FindFullName( "Geometry.Arizona Eye" ) yh:,[<q 8957$g ' Delete any shift(s) in z G#:!wI count = 0 Oy&'zigJ While GetOperationCount(eID)>count <^Tj}5)n GetOperation eID, count, op 02[II_< 1 If op.Type="ShiftZ" Then ArYF\7P DeleteOperation eID,count Y ,yaB)&Ih count=count-1 o}A #- End If ~S6 {VK. count=count+1 T6$<o\g' Wend D3xaR ;vdgF 'Set new shift in <h=M
Rw,l op.Type = "ShiftZ" 63S1ed[ op.val1 = taq :$aW@?zAY op.parent = parID L@r.R_*H?s AddOperation eID, op 17)M.(qmuP Print "Set aqueous humor thickness = " & taq-0.55 HW726K* )uvFta<( '************************************************************************* , ~xU>L^ 'Radius and conic constant of anterior lens ]ECZU '************************************************************************* ;;!{m(;LS} eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Rk%M~ D*- GetConic eID, entity, curv, conic dY<#a,eS ~iZF~PQ1_ SetConic eID, entity, 1/Rant, CCant rVy\,#| Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant v:MS0] IGT_
5te '************************************************************************* [!?,TGM}^ 'Radius and conic constant of posterior lens [9om"' '************************************************************************* ZHlin#" eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Z(mn
U;9{v GetConic eID, entity, curv, conic .oj" ru KHz838C] SetConic eID, entity, 1/Rpost, CCpost g/Jj]X#r Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost #0^3Wm`X; }#*zjMOz '************************************************************************* a=.db&;vY 'Lens thickness (Position of posterior lens surface) n "KJB '************************************************************************* !a(qqZ|s o!r4 frP parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0C+yq'D~[ l=~99mE ' Delete any z-shift(s) ({kGK0 count = 0 ?>jArzI While GetOperationCount(eID)>count D.R|HqZ GetOperation eID, count, op zMzf=~ If op.Type="ShiftZ" Then `Mn{bd DeleteOperation eID,count X /,1] count=count-1 {_ho!OS> End If 4*XP;` count=count+1 a 8hv .43 Wend rI66frbj lEbR) B, 'Set new z-shift OGi4m | op.Type = "ShiftZ" ae#HA[\0G op.val1 = tlens B
m@oB2x) op.parent = parID 'a/6]%QFd! AddOperation eID, op G%8)6m'3 Print "Set lens thickness = " & tlens RyQ\5^z 4i\aW:_'i '************************************************************************* h8= MVh(I 'Lens index of refraction ~K#_'Ldrd '************************************************************************* \3(|c#c eID = FindMaterial( "Lens" ) ?CW^*So GetModelMaterial eID, mat qMdtJ(gq t2%@py*bU mat.Nd = nlens _KhEwd SetModelMaterial eID, mat 'j<:FUDJ Print "Set lens index of refraction = " & nlens 0/00W6r0 [xs)u3b '************************************************************************* m>-^K 'Pupil diameter ^AjYe<RU} '************************************************************************* '"fU2M<. eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) L5qCv -{ :f
!=_^} 'Adjust pupil diameter (trimming volume inner hole) z0Z\d Iam-'S5 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" ;0Ct\ [eh 9s6>9hMb) ' Adjust pupil location to just in front of the lens GE8D3V;*V parID = FindFullName( "Geometry.Arizona Eye" ) e5>5/l]jsg eID = FindFullName( "Geometry.Arizona Eye.Pupil" )
vH?+JN"A count = 0 0m YZ7S5g While GetOperationCount(eID)>count xBE
RCO^ GetOperation eID, count, op %f>
|fs If op.Type="ShiftZ" Then Up/u|A$0V DeleteOperation eID,count cwWSNm| count=count-1 73s3-DS, End If N7HbOLpM count=count+1 L[D/#0qp Wend 6v2RS op.Type = "ShiftZ" 2*FWIHyf op.val1 = taq-0.01 ?(NT!es op.parent = parID QOh w AddOperation eID, op zEPx bHQKRV Print "Set pupil diameter = " & pupilDiam HSr"M.k5 l;{N/cS 'Update AZ Eye subassembly Description p`<e~[]a eID = FindFullName( "Geometry.Arizona Eye" ) B-ri}PA GetEntity eID, entity e"s {_V entity.Description = "Accommodation = " & A & "D" Th;gps%b SetEntity eID, entity kG;eOp16R 9p\wTzA Update ekl?K~ Print "DONE!" R!V5-0% peTO-x^a- End Sub U3|&Jee @(,{_c] 如果屈光度是4,光瞳直径是4,则会输出如下数据: ox\B3U%`p} & L.PU@ Accommodation = 4 Diopters 6PQJgki Pupil Diameter = 4 mm mcz(,u} Set aqueous humor thickness = 2.81 =6Kv` Set anterior lens radius = 10.4 and conic constant = -2.375869 4<3?al& Set posterior lens radius = -4.424557 and conic constant = -3.081019 Z*vpQBbu Set lens thickness = 3.927 +Sd x8 Z5 Set lens index of refraction = 1.42672 \{MrQ2jd Set pupil diameter = 4 +.gf]| DONE! Q&.IlVB[ _L:i=.hxN s7UhC.>'@ QQ:2987619807 r_V2 J{B
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