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简介 o -tc}Aa <ijf':X=* 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。 OgJd^ 4 4bTx y 模型 pEk^; cU8Rm\? 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。 85;
BS' 3-cCdn Table 1. AZ眼睛模型的定义 7Q,9j. 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. Wz)O,X^ :.kc1_veYS 光源 a1Q|su{H m1@ste;$W 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 8wGq:@#= }gL:"C"~ z@\C/wX 图1. 光源和提示信息使用 [.\uHt 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 Q!DH8'|4?L Wyu$J 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。 5/j7 C> 4|Z;EAFx 图2. 字母F光源的设定方法光 q)%F#g utIR\e#:B 图3. 字母F在视网膜上位置点列图 lz>YjK: 视网膜的散射 )cA#2mlS'1 N
]/N}b 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。 lSv?!2 f,:SI&c\ i0`<`qSQh 图4. 视网膜朗伯散射设定 ]h4^3 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。 m~;fklX S O@;;GJ V<~.:G$3H 图5. 视网膜重点采样规格设定 %lVc7L2] 脚本 ? b;_T,S[ =O= 0 D 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: 'n`+R~Kkh mQ 1) d5 图6. 用户对话框的创建与编辑 r*#ApM"L 图7. 用户对话框编辑器 w,hl<=:(FB 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。 C!KxY/*Px 余下的脚本计算与屈光度有关的所有参数。 +X[+SF)! b~;gj^ 分析 I&9_F%rX F?!P7 zW 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 @<]sW*s j#^EZ/ 图7. 字母F在视网膜上颜色分析 kTQ.7mo/\' 脚本代码 }Ruj h4* j`JY3RDD Option Explicit 'Remove this to enable non-dimensioned variables to be used. Tb~|p_;o e>yPFXSk Dim entity As T_ENTITY v&t~0jX, Dim op As T_OPERATION o+UCu`7e Dim mat As T_MODELMATERIAL 7.7aHt0 Dim A As Double =l6aSr Dim pupilDiam As Double }j=UO*| Dim eID As Long |C:^BWrU* Dim parID As Long Y,1ZvUOB Dim count As Integer uw'>tb@ Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double "B18|#v Dim tlens As Double, nlens As Double '@4Myg* b Dim curv As Double, conic As Double y $,K^f Dim ok As Long 0#\K9|. K%NNw7\A Sub Main gc~nT/lfK Y0nnn '用户输入对话框 P#^-{;Bu Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 5^kLNNum TextBox 220,21,40,21,.TextBox1 'default: 0 VaYL#\;c< Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 <(YE_<F* OKButton 40,91,90,21 % zP]z CancelButton 190,91,90,21 OIi8x?
.~] Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 ?`9XFE~a! TextBox 220,49,40,21,.TextBox2 'default: 4 -D=J/5L#5 End Dialog Y
j[M>v Dim dlg As UserDialog _+c' z Hzm<KQ
g ok = Dialog (dlg) M:: 2~`lvx If ok=0 Then 'cancel button was pressed GnAG'.t-Z Print "Execution cancelled." m Acny$u End g]kM7,/M End If g.L~Z1- isU7nlc! 'Assign accommodation and pupil diameter & use defaults if field left empty -cDS+*[ If dlg.TextBox1 = "" Then 91I6-7# Xt A = 0 'Default accommodation 36]pE< Else x9l l 0Ht A = CDbl(dlg.TextBox1) fU/&e^,
's End If P{T\zT y]3`U
UvXD If dlg.TextBox2 = "" Then \<e? pupilDiam = 4 'Default pupil diameter 0.pZlv Else ;_$Q~X pupilDiam = CDbl(dlg.TextBox2) =sm<B^yj End If }~I(e dh9Qo4-{ Print " " }I}/e
v Print "Accommodation = " & A & " Diopters" ar&j1"" Print "Pupil Diameter = " & pupilDiam & " mm" w!/\dqjv s<z`<^hRe ' Calculate new parameters with accommodation ON(OYXj taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness t`M4@1S"' GGM|B}U p Rant = 12.0 - 0.4*A 'Radius of anterior lens <K
g=?wb CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens ;s* :k; c|MW Rpost = -5.224557 + 0.2*A 'Radius of posterior lens _h6j, ) CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens bk(q8xR` -JKl\ E tlens = 3.767 + 0.04*A 'Lens thickness nrBpq 8ln{!,j; nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /EIQMZuYp ]!c59%f= 'Adjust parameters to account for accommodation enC/@){~ MV{\:l}y '************************************************************************* YYE{zU 'Aqueous thickness (Position of Lens)
g2LY~ '************************************************************************* gg0rkg eID = FindFullName( "Geometry.Arizona Eye.Lens" ) N!PPL"5z GetCustomElement eID, entity R\a6#u3 =,BDd$e parID = FindFullName( "Geometry.Arizona Eye" ) f]pHJVgFV cp:U@Nh( ' Delete any shift(s) in z lGlh/B% count = 0 k~0#Iy_{M While GetOperationCount(eID)>count o5@d1A GetOperation eID, count, op _ez*dE% If op.Type="ShiftZ" Then bI-uF8" DeleteOperation eID,count Ao )\/AR' count=count-1 *M? [Gro/ End If uGmv`R_ count=count+1 m
>Rdsn~l Wend ]x1;uE?1J AqA.,;G 'Set new shift in NR>&1aRbyb op.Type = "ShiftZ" !.G knDT op.val1 = taq dEhFuNO<2 op.parent = parID +F?}<P_v AddOperation eID, op |EGC1x]j= Print "Set aqueous humor thickness = " & taq-0.55 Zt"#'1 <e?1&5 6 '************************************************************************* Ia[4P8Z 'Radius and conic constant of anterior lens 2/iBk'd '************************************************************************* 1!%T<!A. eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" )
@+6cKP GetConic eID, entity, curv, conic u?F^gIw eP|_ SetConic eID, entity, 1/Rant, CCant E5$Fhc Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant /;5/7Bvj 2@6Qifxd@ '************************************************************************* aBd>.]l? 'Radius and conic constant of posterior lens `t>A~.f '************************************************************************* h+c9FN eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) z j F'CY GetConic eID, entity, curv, conic )Z*nm<= M?d (-en SetConic eID, entity, 1/Rpost, CCpost dw-o71(1d Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost X:/7#fcG8 o?g9Grk '************************************************************************* fB)S: f| 'Lens thickness (Position of posterior lens surface) KY%LqcC '************************************************************************* &R))c|>OT& S^x?<kYQau parID = FindFullName( "Geometry.Arizona Eye.Lens" ) #Q1
|] <^w4+5sT/ ' Delete any z-shift(s) FfC\uuRe count = 0 Eb7GiRT# While GetOperationCount(eID)>count M+VAol}1 GetOperation eID, count, op 1{<r~ If op.Type="ShiftZ" Then )zydD=,bu DeleteOperation eID,count
K,o&gY count=count-1 Fr_6pEH]} End If Hva/C{Y count=count+1 "?G?G'yK> Wend P# |}]oG% )&$mFwf 'Set new z-shift p4@0[z' op.Type = "ShiftZ" ]P96-x op.val1 = tlens goOw.~dZ' op.parent = parID hvc3n>
Y[} AddOperation eID, op KRM:h`+-.- Print "Set lens thickness = " & tlens wzF%R{; 6@x^,SA '************************************************************************* $T6+6<
'Lens index of refraction I uC7Hx`z '************************************************************************* -br): }f eID = FindMaterial( "Lens" ) d5"rCd[ GetModelMaterial eID, mat +}
y"S - IQWoK"B mat.Nd = nlens N<O<wtXIj SetModelMaterial eID, mat cEIs9; Print "Set lens index of refraction = " & nlens k+zskfo txiX1o!/L '************************************************************************* #fDM{f0]R 'Pupil diameter \cdns; '************************************************************************* RgVnx] IF eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) !tSh9L;<O +q%b'!&Q 'Adjust pupil diameter (trimming volume inner hole) 9TZ 6c 4N5\sdi SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" j XYr&F hlfdmh?/ ' Adjust pupil location to just in front of the lens "H]R\xp parID = FindFullName( "Geometry.Arizona Eye" ) ? U* `!- eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) M6j~`KSE count = 0 3:>hHQi While GetOperationCount(eID)>count 3U'l'H, GetOperation eID, count, op >=86*U~ If op.Type="ShiftZ" Then lHFk~Qp[ DeleteOperation eID,count "|BSGV!8 count=count-1 uQ%3?bx)T End If }nptmc count=count+1 -56gg^Pnr Wend C%|m[,Gx op.Type = "ShiftZ" m%b#B>J,n op.val1 = taq-0.01 !gcea?I op.parent = parID ZcN#jnb0/ AddOperation eID, op rN,T}M=2 7gx?LI_e Print "Set pupil diameter = " & pupilDiam a+j"8tHu$ dl(!{tZ# 'Update AZ Eye subassembly Description 0]zMb^wo eID = FindFullName( "Geometry.Arizona Eye" ) lx7]rkWo|a GetEntity eID, entity 4HpKKhv" entity.Description = "Accommodation = " & A & "D" et/v/Hvw1 SetEntity eID, entity yG;@S8zC !;Ke# E_d Update aMGyV"6(-6 Print "DONE!" i v.G ^v+p@k End Sub i.^:xZ ZSr!L@S 如果屈光度是4,光瞳直径是4,则会输出如下数据: yY]E~ Pj_*,L`mZ Accommodation = 4 Diopters '.jYu7
Pupil Diameter = 4 mm @)wsHW%cjz Set aqueous humor thickness = 2.81 =mSu^q(l Set anterior lens radius = 10.4 and conic constant = -2.375869 \uO^wJ} Set posterior lens radius = -4.424557 and conic constant = -3.081019 vpC?JXz=H Set lens thickness = 3.927 LQR^lD+_= Set lens index of refraction = 1.42672 "ji+~%`^[t Set pupil diameter = 4 =G !]_d0 DONE! mW~*GD~r
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