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简介 l{kum2DT R+P1 +5 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。 UF?qL1w ]@_*O$ 模型 DRal{?CH ]c*&5c$ 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。 *S7<QyVh UZqr6A(/H Table 1. AZ眼睛模型的定义 g$uj<"^ 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. F6yMk% tX)^$3A 光源 *!vwW
T oPl^tzO 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。 xM[m(m 2WqjNqx)6 kid@*.I 图1. 光源和提示信息使用 u1rT:\G1 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。 )A,MTi I_\j05 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。 wgY:W:y'N
2>p>AvcK 图2. 字母F光源的设定方法光 [$$i1%c%Z< yoQ}m/Cj 图3. 字母F在视网膜上位置点列图 ',~,hJ0 视网膜的散射 `i;f ,-D3tleu` 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。 n' &:c}zKO TF2'-"2Y RAPR-I;{ 图4. 视网膜朗伯散射设定 T:dV[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。 @w?hXK= ^Yul|0*J @!`x^Tzz 图5. 视网膜重点采样规格设定 |bDUekjR 脚本 T@Mrbravc o-c.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: e-Mei7{% .]24V!J(1w 图6. 用户对话框的创建与编辑 ;Lr]w8d 图7. 用户对话框编辑器 Y'H|Tk^` 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 <Fr^8 余下的脚本计算与屈光度有关的所有参数。 h8'`g 0 )H8Rfn? 分析 EZypqe):/C *>
LA30R*v 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 OlI|.~ n3y`='D 图7. 字母F在视网膜上颜色分析 B:;$5PUTc 脚本代码 u7L&cx SJ8Ax_9{q Option Explicit 'Remove this to enable non-dimensioned variables to be used. gaV>WF 05hjC Dim entity As T_ENTITY X;'H@GU0 Dim op As T_OPERATION Ce_k&[AJF Dim mat As T_MODELMATERIAL pr-=<[ d Dim A As Double bf@H(gCW= Dim pupilDiam As Double t\S=u y Dim eID As Long -aPRLHR Dim parID As Long K,j'!VQA4g Dim count As Integer $\Oc]% Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double owQSy9Az Dim tlens As Double, nlens As Double *!NxtB!LC Dim curv As Double, conic As Double /F@CrNFb( Dim ok As Long <<w*_GM _xY
dnTEl Sub Main }ff+RGxLIG 5Q7Z$A1a
9 '用户输入对话框 [3 D*DyQt Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 TsVU^Z%W TextBox 220,21,40,21,.TextBox1 'default: 0 u'`eCrKT* Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 l$Y*ii OKButton 40,91,90,21 p?-qlPl CancelButton 190,91,90,21 _TntZv.? Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 zCji]: TextBox 220,49,40,21,.TextBox2 'default: 4 N2 4J!L End Dialog y~Z7sx0 Dim dlg As UserDialog WIKSz
{"=/ "o)jB~:L ok = Dialog (dlg) Y#[xX2z9 m941 Y If ok=0 Then 'cancel button was pressed *q; u%; 4 Print "Execution cancelled." )s N}ClgJ End q{Ao
j End If 9$f% ij5|P4Eka 'Assign accommodation and pupil diameter & use defaults if field left empty 4ibOVBG:*, If dlg.TextBox1 = "" Then fDjJdRS" A = 0 'Default accommodation ;&c9!LfP Else (h"-#q8$ A = CDbl(dlg.TextBox1) UMUG~P&@ End If WeZ?L|&%w0 .fAHP
5- If dlg.TextBox2 = "" Then T].Xx` pupilDiam = 4 'Default pupil diameter d k/f_m Else >=1A a,_tc pupilDiam = CDbl(dlg.TextBox2) uN&UYJ'B End If
XFSHl[uS1 %0Ibi Print " " # Rhtaq9 Print "Accommodation = " & A & " Diopters" K2{6{X= Print "Pupil Diameter = " & pupilDiam & " mm" ',Y`\X p~WX\; ' Calculate new parameters with accommodation !?)aZ |r taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness i^@hn>s$ *b7evU *1 Rant = 12.0 - 0.4*A 'Radius of anterior lens m<sCRWa- CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens &G!~@\tMg @>*r2=#14 Rpost = -5.224557 + 0.2*A 'Radius of posterior lens <!=:{&d% CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens BdB9M8fM 068DC_ tlens = 3.767 + 0.04*A 'Lens thickness & LhQr-g vM?,#:5 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction mWF\h>]|. O{x-9p 'Adjust parameters to account for accommodation CC)Mws+2 W[f%m0 '************************************************************************* @ 3rJ $6W 'Aqueous thickness (Position of Lens) f}EsS '************************************************************************* -HF1c eID = FindFullName( "Geometry.Arizona Eye.Lens" ) D@ %!|: GetCustomElement eID, entity b,x$wP+ <Uu[nUJ parID = FindFullName( "Geometry.Arizona Eye" ) tIk$4)ZAl @HE<\Z{ KI ' Delete any shift(s) in z cx[[K. count = 0 lS|F&I5j While GetOperationCount(eID)>count xb2j
|KY7 GetOperation eID, count, op `(r0+Qx If op.Type="ShiftZ" Then [0D.+("EW DeleteOperation eID,count 1HLU
& count=count-1 d ATAH}r& End If 9*P-k.Bl count=count+1 5Y 7 %Z Wend W=y9mW|p/ M?5v oV* 'Set new shift in X4L@|"ZI op.Type = "ShiftZ" Gd`s01GKQ op.val1 = taq &14xYpD< op.parent = parID 558!?kx$ AddOperation eID, op wlQ
@3RN> Print "Set aqueous humor thickness = " & taq-0.55 85q!FpuH 3:<[;yo '************************************************************************* >`^;h]Q 'Radius and conic constant of anterior lens #r,!-;^'p '************************************************************************* fZ(k"*\MZ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) 7Y)i>[u3 GetConic eID, entity, curv, conic Wngc(+6O& p0D@O_
:5 SetConic eID, entity, 1/Rant, CCant ju!V1ky Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant W6RjQ1 9VMk? '************************************************************************* <E:_9#Z0sc 'Radius and conic constant of posterior lens %jJIR88 '************************************************************************* _C=01 %/ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) Nxt`5kSx= GetConic eID, entity, curv, conic fymmAfaR ps^["3e SetConic eID, entity, 1/Rpost, CCpost x_9#:_S' Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost s)Xz}QPK. /z(d!0_q|v '************************************************************************* Q3'P<"u 'Lens thickness (Position of posterior lens surface) 5~$WSL?O) '************************************************************************* Y-,S_59 3[@:I^q parID = FindFullName( "Geometry.Arizona Eye.Lens" ) ,."wxP2u !hE F.S ' Delete any z-shift(s) a5(9~.9 count = 0 YV'B*arIA While GetOperationCount(eID)>count ?BbEQr GetOperation eID, count, op t~$8sG\ If op.Type="ShiftZ" Then 3BAQ2S} DeleteOperation eID,count '$VP\Gj. count=count-1 $h}w:AV: End If T+S\'f\ count=count+1 ]bbP_n8 Wend 8bf@<VTO_ D~TlG@Pq 'Set new z-shift wv=U[:Y op.Type = "ShiftZ" '@zMZc! op.val1 = tlens Bc`L]< op.parent = parID Ur ol)_3X AddOperation eID, op n<F3&2w Print "Set lens thickness = " & tlens HG)$W n'?]_z< '************************************************************************* WEoD?GLS8 'Lens index of refraction =iB$4d2 '************************************************************************* 6W~JM^F eID = FindMaterial( "Lens" ) 8Q0/kG GetModelMaterial eID, mat *^XMf I}|E_U1Qj mat.Nd = nlens Iu(]i?Y SetModelMaterial eID, mat 99%R/m Print "Set lens index of refraction = " & nlens NBAOVYK ` +)Bl%* '************************************************************************* ~@e=+Z 'Pupil diameter %s ;5 '************************************************************************* A'"J'q*t eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9!0-~,o ?T,a(m<i{ 'Adjust pupil diameter (trimming volume inner hole) |+Z-'k~Q ~S<}q6H. SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" yr* ~?\ W"\+jHF" ' Adjust pupil location to just in front of the lens muDOY~. parID = FindFullName( "Geometry.Arizona Eye" ) |QQ(1#d eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) NC YOY count = 0 k^#*x2b While GetOperationCount(eID)>count
Y=H_U$ GetOperation eID, count, op gc
b8eB, If op.Type="ShiftZ" Then E_P,>f DeleteOperation eID,count Hq&MePl[ count=count-1 9|NF)~Q}' End If ')iyD5/4 count=count+1 %|ioNXMu Wend PG@C5Rnu op.Type = "ShiftZ" 2Ky|+s[`[ op.val1 = taq-0.01 vg1E@rH|} op.parent = parID &'/bnN +R AddOperation eID, op ]vw%J ^7:a _bv9/# tR Print "Set pupil diameter = " & pupilDiam %`s1
Ocvp )%
gU 'Update AZ Eye subassembly Description +:/.\3v71 eID = FindFullName( "Geometry.Arizona Eye" ) 0LTsWCUQ6e GetEntity eID, entity AmUH]+5KT entity.Description = "Accommodation = " & A & "D" 9)n3f^,Oj* SetEntity eID, entity X|4Kdi.r@ %fXgV\xY Update R <&U]%FD Print "DONE!" 31F^ 38 tItI^]w2s End Sub +S1h~@c:B V<U9Pj^?^ 如果屈光度是4,光瞳直径是4,则会输出如下数据: MRHRa zQB1C Accommodation = 4 Diopters T?1e&H%USV Pupil Diameter = 4 mm d_&~^*> Set aqueous humor thickness = 2.81 "y ;0}9]n1 Set anterior lens radius = 10.4 and conic constant = -2.375869 YWDd[\4 Set posterior lens radius = -4.424557 and conic constant = -3.081019 l{\k\Q !4 Set lens thickness = 3.927 _Om5wp=: Set lens index of refraction = 1.42672 R$"> Set pupil diameter = 4 ?}S~cgL - DONE! a,:Nlr3 /<J5?H sD6vHX% QQ:2987619807 <AHdz/N
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