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简介 L5j%4BlK/ ?_V&~?r 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。 z}z 6Vg [Zxv&$SQ 模型 DElrY)3O. T
j(MIFi|5 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。 "\`>Ll E>I\m!ue Table 1. AZ眼睛模型的定义 4}xw&x 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.
bo|3sN+D 3LW_qX 光源 sFbN)Cx ZULnS*V;5 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。 ?DrA@;IB A}3dx!?7j zN3b`K. i 图1. 光源和提示信息使用 U]A JWC6 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。 "zZZ h A~)# 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。 h"3Mj*s sD ,=_q@ 图2. 字母F光源的设定方法光 Em ;2fh q/#pol 图3. 字母F在视网膜上位置点列图 @i <vlHpl 视网膜的散射 nr]:Y3KyxX -qqI@+u+ 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。 9y+0Zj+. 9_-6Lwj6t !*e1F9k 图4. 视网膜朗伯散射设定 s
C>Oyh:%! 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。 cw"Ou% L+.&e4f'oj >r\q6f#J4 图5. 视网膜重点采样规格设定 lW|`8ykp 脚本 ?
FlQ\q giYlLJA*} 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: (Cb;=:3G MSaOFv_Q 图6. 用户对话框的创建与编辑 nq5qUErew 图7. 用户对话框编辑器 !9t,#?! 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。 ^_gH}~l+U 余下的脚本计算与屈光度有关的所有参数。 XY^]nm-{I .]w=+~h 分析 Qg]+&8!* p|+TgOYOc 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 6UKZ0~R $a'}7Q_ 图7. 字母F在视网膜上颜色分析 |/;;uK,y 脚本代码 Qo~|[]GE U'aJCM Option Explicit 'Remove this to enable non-dimensioned variables to be used. +L|x^B3 mg]t)+ PQ Dim entity As T_ENTITY jS ?#c+9 Dim op As T_OPERATION 5=&ME(fmV Dim mat As T_MODELMATERIAL N 9W,p2 Dim A As Double i__f%j`!W Dim pupilDiam As Double t0_4jVt Dim eID As Long YeS5%?Fk Dim parID As Long hVIv-> Dim count As Integer A <_{7F9 Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double MY}/h@ Dim tlens As Double, nlens As Double Ggry,3X3 Dim curv As Double, conic As Double kvG.?^ v Dim ok As Long c] - 0`V;;w8 Sub Main zygH-3C7o 2]]}Xvx4# '用户输入对话框 2<9&OL Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 d$^@$E2f TextBox 220,21,40,21,.TextBox1 'default: 0 a<J<Oc! Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ^8KxU OKButton 40,91,90,21 <JIqkGeAi CancelButton 190,91,90,21 ,rV;T";r Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 d uP0US TextBox 220,49,40,21,.TextBox2 'default: 4 8*;>:g End Dialog 2@W`OW Njm Dim dlg As UserDialog RN&6z"|jR }
m"':f ok = Dialog (dlg) CG;+Z-"X .W\JvPTC If ok=0 Then 'cancel button was pressed 10Q!-K),p Print "Execution cancelled." U1 `pY:P End W_6gV End If +|Izjx]ZV Tm$8\c4V:* 'Assign accommodation and pupil diameter & use defaults if field left empty n-g#nEc: If dlg.TextBox1 = "" Then +p[O|[z A = 0 'Default accommodation x2TE[#>< Else G5%k.IRz A = CDbl(dlg.TextBox1) ;l^'g}dQ^ End If pedyWA> \H&;.??W If dlg.TextBox2 = "" Then Lr9E02 pupilDiam = 4 'Default pupil diameter k!bG![Ie| Else I@5$ <SN pupilDiam = CDbl(dlg.TextBox2) B2Rpd &[ End If bI^F( cc3/XBo Print " " n0G@BE1Y= Print "Accommodation = " & A & " Diopters" B"
_Xst Print "Pupil Diameter = " & pupilDiam & " mm"
fda4M kZhd^H. ' Calculate new parameters with accommodation g}S%D(~ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness }t:*w &*bpEdkZ Rant = 12.0 - 0.4*A 'Radius of anterior lens Nv|0Z'M CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 2'@D0L );h Rpost = -5.224557 + 0.2*A 'Radius of posterior lens u@P1`E1Q CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens aK_k'4YTm :;c`qO4 tlens = 3.767 + 0.04*A 'Lens thickness bN6i *)} tt
CC]
Q nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction O \gVB!x qA[cF$CIl) 'Adjust parameters to account for accommodation )c?nh3D 'MW O3 '************************************************************************* :Gzp
(@<@e 'Aqueous thickness (Position of Lens) Jz*A!Li '************************************************************************* _0ZU I^# eID = FindFullName( "Geometry.Arizona Eye.Lens" ) }#2(WHf=< GetCustomElement eID, entity F(ZczwvR
3bJ|L3G parID = FindFullName( "Geometry.Arizona Eye" ) 'vYt_T q: X^V$` ' Delete any shift(s) in z u%6b|M@P count = 0 hd,O/-m# While GetOperationCount(eID)>count -r]L MQ GetOperation eID, count, op 7G7"Zule*j If op.Type="ShiftZ" Then bR1Q77<G\ DeleteOperation eID,count -PU.Uw] count=count-1 OOXP1L End If (Q&O'ng1 count=count+1 d'H gek{T Wend 4?+jvVq KfYT 'Set new shift in ]>ndFE6kl op.Type = "ShiftZ" P!IXcPKW53 op.val1 = taq HIt9W]koO op.parent = parID nywC]T AddOperation eID, op ]rNxvFN*j Print "Set aqueous humor thickness = " & taq-0.55 d{7)_Sbky AX'-}5T= '************************************************************************* -3y 'Radius and conic constant of anterior lens ~;YkR'q0_ '************************************************************************* 9Zmq7a
E eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) Ed{sC[j= GetConic eID, entity, curv, conic +F%tBUY{< E cSu[b
SetConic eID, entity, 1/Rant, CCant /d/]#T[Z9 Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant F~hH>BH9 .TDg`O24c, '************************************************************************* VR%*8= 'Radius and conic constant of posterior lens ykH@kv Qt '************************************************************************* xP;>p|
M eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) FFe{=H,= GetConic eID, entity, curv, conic Xy`'h5
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Bky SetConic eID, entity, 1/Rpost, CCpost rhX?\_7o Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost :7 JP(j2 PfB9 .f{ '************************************************************************* 94]i|2qj* 'Lens thickness (Position of posterior lens surface) 5*Qzw[[= '************************************************************************* ts("(zI1E (ip3{d{CT] parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,U+>Q!$`\^ U!K#g_} ' Delete any z-shift(s) (
z F_< count = 0 g!r)yzK While GetOperationCount(eID)>count ?^^TR/ GetOperation eID, count, op CC'N"Xb If op.Type="ShiftZ" Then <b\8<mTr DeleteOperation eID,count yu>;m.e_ count=count-1 LyR<cd$W End If 1mR@Bh count=count+1 -V[!qI Wend p,uM)LD
#XqiXM~^R 'Set new z-shift O*x~a;?G op.Type = "ShiftZ" }odjaM}5Nc op.val1 = tlens F g'{K%t4 op.parent = parID +"JWsD(C( AddOperation eID, op Z!jJ93A" Print "Set lens thickness = " & tlens 'z)cieFKP <X5ge>. '************************************************************************* G `B=:s] 'Lens index of refraction L|1~'Fz#w '************************************************************************* -7o-d-d F eID = FindMaterial( "Lens" ) rSm#/)4A GetModelMaterial eID, mat t("koA=. \5=4!Ez mat.Nd = nlens 'WBhW5@ SetModelMaterial eID, mat (?lT @RY/ Print "Set lens index of refraction = " & nlens Jw^my4 ,JTyOBB<I '************************************************************************* FL&Y/5 'Pupil diameter 8]O#L}" '************************************************************************* #e[r0f?U eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 7s2*VKr _F^NX% 'Adjust pupil diameter (trimming volume inner hole) 5lM 3In@ jHA(mU)b SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" O'.{6H;t H`Zg-j` ' Adjust pupil location to just in front of the lens >?G!>kw parID = FindFullName( "Geometry.Arizona Eye" ) No+BS%F5 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) g2rH"3sC count = 0 qLKL*m While GetOperationCount(eID)>count 3O_O5 GetOperation eID, count, op P=9UK`n If op.Type="ShiftZ" Then YB^m!A),I[ DeleteOperation eID,count FP0GE count=count-1 /'_Yct= End If Gc5mR9pV count=count+1 &NbSG+t Wend |<y1<O>F op.Type = "ShiftZ" /Bk`3~]E> op.val1 = taq-0.01 2
'$nz op.parent = parID k)8*d{ * AddOperation eID, op 77 Z:!J| IF<T{/MA Print "Set pupil diameter = " & pupilDiam WU.eeiX [;'$y:L=g 'Update AZ Eye subassembly Description YG*}F|1 eID = FindFullName( "Geometry.Arizona Eye" ) RQ#9[6w!v GetEntity eID, entity -7J~^m2x entity.Description = "Accommodation = " & A & "D" D$w? SetEntity eID, entity 2Qc_TgWF )oM%
N Update km`";gUp> Print "DONE!" at2)%V) ]XL=S|tIq End Sub F<dhG>E9 ?#nk}=;g8 如果屈光度是4,光瞳直径是4,则会输出如下数据: LA(/UA3Izd -&) Accommodation = 4 Diopters "av G#rsH Pupil Diameter = 4 mm ')2LP;( Set aqueous humor thickness = 2.81 89P7iSV#* Set anterior lens radius = 10.4 and conic constant = -2.375869 /R6\_oM Set posterior lens radius = -4.424557 and conic constant = -3.081019 ygK,t*T20 Set lens thickness = 3.927 xf|C{XV@H Set lens index of refraction = 1.42672 %/!f^PIwX Set pupil diameter = 4 "{~^EQq, DONE! bhfKhXh8 8k.#4}fP 4CS$%Cu\?w QQ:2987619807 w7\
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