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简介 }E+}\& [ZS}P 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。 N<$U:!Z 8Letpygm 模型 az~4sx$+} ,Y
EB?HA 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。 >Liv]. 0[g8 Table 1. AZ眼睛模型的定义
Q_'3}:4 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. KwOn<0P f{[U->#^ 光源 iCCY222: ~WK>+T,% 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。 QT /TZ: 0n+Wv@/ r#
5))q- 图1. 光源和提示信息使用 ?fDF Rms 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。 q
bb:)> jQOY \1SR 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。 @a)
x^d %zQME6WELz 图2. 字母F光源的设定方法光 ,x}p1EZ L)JpMf0 图3. 字母F在视网膜上位置点列图 TOV531
视网膜的散射 k.>*!l0 P]-d(N}/H 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。 %iY-}uhO DYJ@>8 E^ _P 图4. 视网膜朗伯散射设定 <#JJS}TLk 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。 iy Zs:4jkc $:w4_X5T 9:CJl6~N)# 图5. 视网膜重点采样规格设定 3}}~( 脚本 "0Uh(9Fv e&?o 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: /o#!9H 703=.xj 图6. 用户对话框的创建与编辑 mV0F^5 图7. 用户对话框编辑器 6*Jd8Bva\o 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。 ,T?8??bZ 余下的脚本计算与屈光度有关的所有参数。 n.p6+^ES _Dl!iV05: 分析 9'C kV [ 72@raA#y 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 ~aa`Y0Ws], LJDX6]4n 图7. 字母F在视网膜上颜色分析 rVq=,>M9 脚本代码 w<-8cvNhiz 'h_PJ% Option Explicit 'Remove this to enable non-dimensioned variables to be used. C"_f3[Z tpj({
Dim entity As T_ENTITY $w`QQ^\ Dim op As T_OPERATION S',i Dim mat As T_MODELMATERIAL S/v+7oT Dim A As Double 7$x~}*u Dim pupilDiam As Double q}*"0r Dim eID As Long Fy5xIRyI\F Dim parID As Long (-DA% Dim count As Integer t=J\zyX! Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double l;zp f|.Vc Dim tlens As Double, nlens As Double ^%wj6 Dim curv As Double, conic As Double nw[DI%Tp Dim ok As Long !xyO ZYZQ?FN Sub Main _XIls*6AK |2(z<b&y= '用户输入对话框 <T{2a\i 4f Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 uhvmh TextBox 220,21,40,21,.TextBox1 'default: 0 @gc lks/M Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 =(b;Cow OKButton 40,91,90,21 1$oVcDLl CancelButton 190,91,90,21 b}4k-hZL Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 1xg^;3m2 TextBox 220,49,40,21,.TextBox2 'default: 4 I`w1IIY?m End Dialog /*s:ehj Dim dlg As UserDialog PI~LbDE BFmYbK ok = Dialog (dlg) N8|=K_;& Z\6&5r= If ok=0 Then 'cancel button was pressed R[ p. )F7 Print "Execution cancelled." [b-27\b End 2MwRjh_ End If {?m;DYv YgiwtZ5FY 'Assign accommodation and pupil diameter & use defaults if field left empty rBLkowDP* If dlg.TextBox1 = "" Then N+)4]ir> A = 0 'Default accommodation ^/\OS@CT\ Else ;K 38I} A = CDbl(dlg.TextBox1) |g]TWKc* End If +RS>#zd/= }ny,Nl If dlg.TextBox2 = "" Then ?P4@U9i pupilDiam = 4 'Default pupil diameter +%(iGI{ Else %0T/>:1[E pupilDiam = CDbl(dlg.TextBox2) e&Z}struE End If *A}QBZ q+2yp&zF Print " " 'SF+P)Kmz Print "Accommodation = " & A & " Diopters" CK[2duf^~ Print "Pupil Diameter = " & pupilDiam & " mm" yZ3/Ia>, 3nv7Uz ' Calculate new parameters with accommodation s mub> V taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness }T%;G /W 5zG6V2 Rant = 12.0 - 0.4*A 'Radius of anterior lens ^c{}G<U^ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens
3U=q3{%1 ,t5X'sY L Rpost = -5.224557 + 0.2*A 'Radius of posterior lens GXB4&Q!C CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens q:sDNj)R\ "Q9S<O8) tlens = 3.767 + 0.04*A 'Lens thickness 4S|! iOY @
fm\
H nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ie+&@u jfF,:(P%W 'Adjust parameters to account for accommodation ut%t`Y(
] hkSpG{;7 '************************************************************************* ElAJR4'{*i 'Aqueous thickness (Position of Lens) _`Ey),c _ '************************************************************************* Rt~Aud[ eID = FindFullName( "Geometry.Arizona Eye.Lens" ) vfzGRr GetCustomElement eID, entity u.iFlU 6~GaFmW= parID = FindFullName( "Geometry.Arizona Eye" ) :Bp{yUgi@ lGqwB,K$z4 ' Delete any shift(s) in z mtuq count = 0 p%Ae"#_X% While GetOperationCount(eID)>count e3YZ-w^W~h GetOperation eID, count, op OO_{o If op.Type="ShiftZ" Then 8yax.N
j DeleteOperation eID,count J]ivIQ count=count-1 pVn6>\xa End If JbzYr]k count=count+1 -yfyd$5j Wend ==(9P`\ _m;cX!+~_ 'Set new shift in d+~c$(M) op.Type = "ShiftZ" D2|-\vJ> op.val1 = taq $1oU^VY op.parent = parID OTd=(dwh AddOperation eID, op o*97Nbjn Print "Set aqueous humor thickness = " & taq-0.55 ;+K:^*oJ LfyycC2E '************************************************************************* !JUXq 'Radius and conic constant of anterior lens F0:Fv; '************************************************************************* ,0[8/)$M eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ]g3&gw GetConic eID, entity, curv, conic $f>Mz|j 3O%[k<S\VO SetConic eID, entity, 1/Rant, CCant l3n* b6 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Zb-TCS+3l 4nkH0dJQ '************************************************************************* 7^Uv1ezDR 'Radius and conic constant of posterior lens btw_k+Fh '************************************************************************* 0sVCTJ@ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) iKV;>gF,)v GetConic eID, entity, curv, conic 2j-|.l c aGNt?)8WPZ SetConic eID, entity, 1/Rpost, CCpost h+zJ"\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost R|{AIa{} `y0ZFh1>X '************************************************************************* /7|u2!#Ui 'Lens thickness (Position of posterior lens surface) 8gJ"7,}-' '************************************************************************* ~FH''}3:3 kJy<vb~
parID = FindFullName( "Geometry.Arizona Eye.Lens" ) X1:| Zp@p9][C ' Delete any z-shift(s) Bcrd}'no count = 0 s\#kqw\x While GetOperationCount(eID)>count LYGFEjS[ GetOperation eID, count, op u%a2"G| If op.Type="ShiftZ" Then TuwH?{
FzK DeleteOperation eID,count U/yYQZ\) count=count-1 w |>:mQnU End If $rs7D}VNc count=count+1 c;w
cgU Wend C5i]n? )S {~16j" 'Set new z-shift _.J{U0N op.Type = "ShiftZ" (Z) op.val1 = tlens eL^,-3JA(] op.parent = parID @`k!7?
Sq AddOperation eID, op f!P.=Qo[= Print "Set lens thickness = " & tlens 8l>/ZZ.NXi WXNJc '************************************************************************* 6;dB 'Lens index of refraction T9{94Ra '************************************************************************* *ky5SM(NR eID = FindMaterial( "Lens" ) BI;in;Ln GetModelMaterial eID, mat ]5x N^7_!j hc>hNC:a mat.Nd = nlens p(Y'fd} SetModelMaterial eID, mat Kx*;!3-V$ Print "Set lens index of refraction = " & nlens $"J+3mO (8@._ '************************************************************************* |w6:mtaS 'Pupil diameter r4Pm
i '************************************************************************* wi:]o o# eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) -[`,MZf j?/T7a^ 'Adjust pupil diameter (trimming volume inner hole) n0O- Bxhl 1P3^il7 SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" & @^|=>L pb$U~TvzhM ' Adjust pupil location to just in front of the lens %l,p />r parID = FindFullName( "Geometry.Arizona Eye" ) 0mH>fs 4 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) q3T'rw%Eh count = 0 n8A*Y3~R While GetOperationCount(eID)>count nW{).
P GetOperation eID, count, op vNd4Fn)H If op.Type="ShiftZ" Then ]^VC@$\)+ DeleteOperation eID,count <2diO= count=count-1 ~k+-))pf End If xV~`sqf count=count+1 !(w\%$| Wend ;-n+=@]7 op.Type = "ShiftZ" ZR6KE_ op.val1 = taq-0.01 \2:
JX?Jw! op.parent = parID -"\z|OQ AddOperation eID, op ;wp)E nF H;G*tje/M Print "Set pupil diameter = " & pupilDiam P[8`]= hi*\5(uH 'Update AZ Eye subassembly Description "npj%O<bd eID = FindFullName( "Geometry.Arizona Eye" ) HMS9_#[kE GetEntity eID, entity K
S,X$)9 entity.Description = "Accommodation = " & A & "D" 2y,NT|jp SetEntity eID, entity 7zgU>$i '?v.O} Update hR[Qdu6r Print "DONE!" 9-Qub+0o W _yVVr End Sub ]EE}ax%#aq Av_1cvR: 如果屈光度是4,光瞳直径是4,则会输出如下数据: hoO8s#0ED xx#;)]WT Accommodation = 4 Diopters \H*"UgS Pupil Diameter = 4 mm v /G, Set aqueous humor thickness = 2.81 V!DQ_T+a Set anterior lens radius = 10.4 and conic constant = -2.375869 F[l{pc "C Set posterior lens radius = -4.424557 and conic constant = -3.081019 'X<R)E Set lens thickness = 3.927 X@\rg}kP Set lens index of refraction = 1.42672 DKF`uRvGN: Set pupil diameter = 4 qI)
Yzc/ DONE! UKZsq5Q yw{GO([ZQ _Sosw|A QQ:2987619807 b9%hzD,MR
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