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简介 X!^|Tass %dg[ho 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。 )%MC*Z:^ )y;7\-K0 模型 ow{. iv\,u $HsNV6 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ocJG4# )Hmf=eoc Table 1. AZ眼睛模型的定义 ,NS*`F[O 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. z]+L=+,, /OzoeIt 光源 uW[[8+t| p^|l ',e 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 HNv~ZAzBG- y^`JWs, |?2fq&2 图1. 光源和提示信息使用 C`ky= 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 CssE8p>"F *|dK1'Xr 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 ix4]^ u"*DI=pwb 图2. 字母F光源的设定方法光 Z9+fTT A8*zB=C 图3. 字母F在视网膜上位置点列图 1VlU'qY 视网膜的散射 v#/Gxk9eX 62qjU<Z 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 _7<{+Zzm pF8 #H~ 2*V[kmD/3 图4. 视网膜朗伯散射设定 3S7"P$q 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。 UWvVYdy7 ,_RNZ
sa;& )B0%"0?`8 图5. 视网膜重点采样规格设定 0~^RHb.NA8 脚本 pLtw|S'4 +)"Rv%. 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: ji1vLu4|t /z*Z+OT2 图6. 用户对话框的创建与编辑 4F6aPo2 图7. 用户对话框编辑器 >- \bLr 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。 4A!]kj5T 余下的脚本计算与屈光度有关的所有参数。 3wq<@dRv4 Bso#+v5 分析 lnyfAq}w f(Of+> 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 K8_v5 fyb;*hgu 图7. 字母F在视网膜上颜色分析 Pp tuXq%U 脚本代码 JN|6+.GG P8,Ps+ Option Explicit 'Remove this to enable non-dimensioned variables to be used. =,#--1R7g YiDO V) Dim entity As T_ENTITY lbBWOx/| Dim op As T_OPERATION c_D(%Vf5 Dim mat As T_MODELMATERIAL *c94'T cl Dim A As Double Wjw,LwB Dim pupilDiam As Double _y^r== Dim eID As Long TB!I Dim parID As Long 7t:RQ`$: Dim count As Integer EyE#x_A Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Z)#UCoK!c Dim tlens As Double, nlens As Double *{DTxEy Dim curv As Double, conic As Double L>h8>JvQ Dim ok As Long LZRg%3.E ro{!X, _$, Sub Main F^75y? `.W2t5Y '用户输入对话框 'j6O2=1 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 00QJ596 TextBox 220,21,40,21,.TextBox1 'default: 0 P9
<U+\z Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 k||t<&`Ze OKButton 40,91,90,21 +nDy b CancelButton 190,91,90,21 vt|R)[, Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 >CqzC8JF TextBox 220,49,40,21,.TextBox2 'default: 4 USz~l7Xs End Dialog ,RV
qYh(-| Dim dlg As UserDialog }aVZ\PDg o eUi ok = Dialog (dlg) 5QMra5N k s{Z)<n03 If ok=0 Then 'cancel button was pressed 'rcqy1-& Print "Execution cancelled." Fz%;_%j End X g6ezlW End If y>P+"Z.K%} I+8n;I)]X 'Assign accommodation and pupil diameter & use defaults if field left empty 50^ux:Uv+N If dlg.TextBox1 = "" Then *j%x A = 0 'Default accommodation >X*tMhcb Else >.iF,[.[F< A = CDbl(dlg.TextBox1) 6Yj{%
G End If ? nd:
:O J?QS7#!% If dlg.TextBox2 = "" Then l#'V
SFm& pupilDiam = 4 'Default pupil diameter M3pE$KT0x Else o}OY,P pupilDiam = CDbl(dlg.TextBox2) 0ns\:2)cEB End If Y^eN}@]?& % =^/^[D Print " " FlBhCZ|^ Print "Accommodation = " & A & " Diopters" [0 F~e Print "Pupil Diameter = " & pupilDiam & " mm" =&WIa#!= H@Z_P p? ' Calculate new parameters with accommodation #).$o~1ht! taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness {>f"&I<xw cMw<3u\ Rant = 12.0 - 0.4*A 'Radius of anterior lens D0D=;k CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens G,u=ngZ] ~]?:v,UIm( Rpost = -5.224557 + 0.2*A 'Radius of posterior lens p)y5[HX CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens u,sR2&Fe <RGH+4LF tlens = 3.767 + 0.04*A 'Lens thickness 7n8nJTU{4j !6!)H8rX nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction /Z:j:l G;Li!H 'Adjust parameters to account for accommodation `H+"7SO -NBVUUAgN '************************************************************************* A~?M`L>B 'Aqueous thickness (Position of Lens) i\i%WiRl '************************************************************************* (Xd8'-G$m eID = FindFullName( "Geometry.Arizona Eye.Lens" ) 0a~t GetCustomElement eID, entity 2}hJe+#v FlqGexY5 parID = FindFullName( "Geometry.Arizona Eye" ) mq`/nAmt 1EyN
|m| ' Delete any shift(s) in z y>I2}P count = 0 x/*lNG/ While GetOperationCount(eID)>count )l3Uf&v^f GetOperation eID, count, op ;J%:DD If op.Type="ShiftZ" Then 3:)z+#Uk6 DeleteOperation eID,count )GD7rsC`< count=count-1 HBlk~eZ End If hFrMOc& count=count+1 LP2~UVq Wend #@R0$x F B]Y~;( 'Set new shift in $%bSRvA op.Type = "ShiftZ" XkaREE op.val1 = taq 66yw[,Y op.parent = parID ]}2)U AddOperation eID, op =RoG?gd{R Print "Set aqueous humor thickness = " & taq-0.55 3BFOZV+ UcRP/LR%C '************************************************************************* TZn
15-O 'Radius and conic constant of anterior lens %w;qu1j '************************************************************************* slQn eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) CMt<oT6.? GetConic eID, entity, curv, conic @\K[WqF$$q YF%gs{ SetConic eID, entity, 1/Rant, CCant Qb536RpcTY Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant R~vGaxZ$ *dl hRa '************************************************************************* "+HJ/8Dd1 'Radius and conic constant of posterior lens -l^<[% '************************************************************************* Q6h+. eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) gq=t7b GetConic eID, entity, curv, conic b^o4Q[ q m3\)9C SetConic eID, entity, 1/Rpost, CCpost Rh>B#
\ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost OVg&?fiP !/FRL<mp '************************************************************************* R\j~X@vI 'Lens thickness (Position of posterior lens surface) R9XU 7_3B '************************************************************************* f ,F X# _4 c6h?b[] parID = FindFullName( "Geometry.Arizona Eye.Lens" ) 5'2kP{; {6i|"5_j ' Delete any z-shift(s) PR:k--)D count = 0 Uh}PB3WZ While GetOperationCount(eID)>count |iM,bs GetOperation eID, count, op d:kB Zrq If op.Type="ShiftZ" Then U4D7@KY +m DeleteOperation eID,count \8vP"Kr count=count-1 DiJLWXs End If >eJ<-3L; count=count+1 J8ni}\f Wend %rwvY`\ H:fKv7XL 'Set new z-shift v$ ti=uk$ op.Type = "ShiftZ" z^bS+0S5x! op.val1 = tlens 1%Xh[ op.parent = parID c1YDln AddOperation eID, op qBEp |V Print "Set lens thickness = " & tlens 05d0p|}, <PLAAh8 '************************************************************************* `v*HH}aDO 'Lens index of refraction b3A0o* '************************************************************************* =p5DT eID = FindMaterial( "Lens" ) F#Lo^ 8 GetModelMaterial eID, mat C`5'5/-. 0jTReY-W mat.Nd = nlens r:*G{m- SetModelMaterial eID, mat Hw \of Print "Set lens index of refraction = " & nlens 3$?6rMl@y I&-r^6Yx '************************************************************************* ?I+L 'Pupil diameter /,\V}`Lx" '************************************************************************* Xa`Q;J"h eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) Xf
u0d1b *5)UIRd 'Adjust pupil diameter (trimming volume inner hole) /U;j-m& #Y7jNrxE SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2e_ Di(us 56;u7 ' Adjust pupil location to just in front of the lens DU^.5f parID = FindFullName( "Geometry.Arizona Eye" ) P:{Aqn~zR eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) x^ `/&+m count = 0 )re<NE&M While GetOperationCount(eID)>count }0'LKwIR GetOperation eID, count, op g89@>?Mn If op.Type="ShiftZ" Then /.]u%;%r[ DeleteOperation eID,count C19N0= count=count-1 r=Xo; d*TE End If p:08q
B|uQ count=count+1 Xb"i/gfxt Wend *w0!C:mL& op.Type = "ShiftZ"
p9"dm{ op.val1 = taq-0.01 7_\G|Zd op.parent = parID /a\i AddOperation eID, op ;W-
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S~ /2Bw!2 Print "Set pupil diameter = " & pupilDiam 'I,a 29 ad}8~6}_& 'Update AZ Eye subassembly Description hO"!q;<eS eID = FindFullName( "Geometry.Arizona Eye" ) cKTjQJ# GetEntity eID, entity u8c@q'_ entity.Description = "Accommodation = " & A & "D" ;"M6}5dQ4 SetEntity eID, entity f1vD{M; 8UU
L= Update n.g-%4\q Print "DONE!" 8\s#law 9"#C%~=+ End Sub F^GNOD3J t+v%%N_ 如果屈光度是4,光瞳直径是4,则会输出如下数据: '&cH,yc;b ps'_Y<@ Accommodation = 4 Diopters Jg$<2CR& Pupil Diameter = 4 mm 26p[x'W Set aqueous humor thickness = 2.81 x$q} lJv_ Set anterior lens radius = 10.4 and conic constant = -2.375869 >ZJ]yhbhK Set posterior lens radius = -4.424557 and conic constant = -3.081019 -J3~j kf Set lens thickness = 3.927 GST#b6S Set lens index of refraction = 1.42672 lk>\6o: Set pupil diameter = 4 r#OPW7mhE DONE! SMrfEmdH+ u)<]Pb})r L2>e@p\> QQ:2987619807 ~vz%I^xW
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