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简介 aiUY>M#| [ ({nj` 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。 (`>+zT5aH %lhEM}Sm 模型 \ a<h/4#| }OR@~V{Gj 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。 )[6U^j4 J?1 uKR Table 1. AZ眼睛模型的定义 ^ogt+6c 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. Gr'
CtO :{v#'U/^ 光源 D,*3w'X!K 85$m[+md 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。 `pa!~|p L.2^`mZs .t-4o<7 3 图1. 光源和提示信息使用 Oc#syfO 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。 ItVWO:x&v +F` S>U 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。 Wx}8T[A} z"L/G 图2. 字母F光源的设定方法光 Oh`69
k @Zu5Vp J 图3. 字母F在视网膜上位置点列图 w~A{(-
dx 视网膜的散射 YeL#jtC Dlae;5D 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。 X6X
$Pve 0B/,/KX wLH>:yKUU 图4. 视网膜朗伯散射设定 A*2jENgci 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。
hoUD;3 ZRB)uA)5= Y@vTaE^w3 图5. 视网膜重点采样规格设定 Y|f[bw 脚本 SiRaFj4s" oy=js - 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: =,=A,kI[; Y'S%O/$ 图6. 用户对话框的创建与编辑 ,t?B+$E 图7. 用户对话框编辑器 ^z IW+: 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 &\WSQmtto 余下的脚本计算与屈光度有关的所有参数。 [)M%cyQ 2B[X,rL.pX 分析 ?m}s4a xd?f2=dd~h 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 _Xc8Yg }` p!7FpxZY 图7. 字母F在视网膜上颜色分析 OJuG~euy 脚本代码 KNvZm;Q6 Uw. `7b>B Option Explicit 'Remove this to enable non-dimensioned variables to be used. Nho>f >}8j+t&T Dim entity As T_ENTITY :'-/NtV)o? Dim op As T_OPERATION v5#jZ$<F Dim mat As T_MODELMATERIAL D9=KXo^ Dim A As Double @s;;O\ Dim pupilDiam As Double q460iL7yF} Dim eID As Long x.!V^HQSN Dim parID As Long {0wIR_dGX Dim count As Integer Z,
Yb&b Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double {j?FNOJn Dim tlens As Double, nlens As Double $oID(P Dim curv As Double, conic As Double wx=
$2N6 Dim ok As Long yy^q2P qpP=K $ Sub Main @sW24J1q+ M#4pE_G '用户输入对话框 _LEK% Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 _?m(V=z> TextBox 220,21,40,21,.TextBox1 'default: 0 XH 4 Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 J s@hLP` OKButton 40,91,90,21 UT~4x|b:O CancelButton 190,91,90,21 ; ; OAQ` Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 s 8jV(P(O TextBox 220,49,40,21,.TextBox2 'default: 4 ifMRryN4 End Dialog 1QcNp(MO Dim dlg As UserDialog X8a/ `Y, a
od-3"7[ ok = Dialog (dlg) 3</_c1~ -8ywO"6 If ok=0 Then 'cancel button was pressed u^+7hkk Print "Execution cancelled." X"|['t
End EPI4!3] End If 9iIhte. m<T%Rb4?@ 'Assign accommodation and pupil diameter & use defaults if field left empty %op**@4/t\ If dlg.TextBox1 = "" Then 1y@i}<9F A = 0 'Default accommodation Xv5wJlc!d Else {Qf=G|Ah A = CDbl(dlg.TextBox1) <s31W3<v End If wtQ++l%{G wj$<t'MN If dlg.TextBox2 = "" Then `_Zg3_K.dS pupilDiam = 4 'Default pupil diameter 36&e.3/# Else J9--tJ?[>o pupilDiam = CDbl(dlg.TextBox2) ;s = l52 End If Q2w_X8 KEo,m Print " " WtsFz*`)y Print "Accommodation = " & A & " Diopters" a8e6H30Sm Print "Pupil Diameter = " & pupilDiam & " mm" ~]IOK$1F% (&Kk7<#` ' Calculate new parameters with accommodation T?CdZc. taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness ntX3Nt_n 6RU~"C Rant = 12.0 - 0.4*A 'Radius of anterior lens t:x\kp CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Hh3X
\ YlJ@XpKM Rpost = -5.224557 + 0.2*A 'Radius of posterior lens \$~|ZwV{ CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens :S{BbQ){] \g`\`e53? tlens = 3.767 + 0.04*A 'Lens thickness vFzRg5lH j;+b0(53 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction 7FP*oN? hn7#
L 'Adjust parameters to account for accommodation 2. NN8PPD" 1Z/(G1 '************************************************************************* e9Wa<i8 'Aqueous thickness (Position of Lens) e }?db '************************************************************************* gS!:+G% eID = FindFullName( "Geometry.Arizona Eye.Lens" ) z3{G9Np GetCustomElement eID, entity kr^P6}' :".ARCg parID = FindFullName( "Geometry.Arizona Eye" ) Y!aSs3c L:$ ,v^2 ' Delete any shift(s) in z 7JD' ) count = 0 WH#1zv While GetOperationCount(eID)>count 8?B!2 GetOperation eID, count, op dK$XNi13.5 If op.Type="ShiftZ" Then &)#
ihK_ DeleteOperation eID,count R^8o^z['6u count=count-1 k{R> End If IEL%!RFG count=count+1 <6%?OJhp Wend nY[WRt w XFVE>/H 'Set new shift in f <Zxz9 op.Type = "ShiftZ" )W,aN)1) op.val1 = taq n K1Slg#U op.parent = parID D=A&+6B@- AddOperation eID, op F/,NDZN Print "Set aqueous humor thickness = " & taq-0.55 V@.Ior}w zH 72'"w '************************************************************************* F$y$'Rzu_B 'Radius and conic constant of anterior lens ozyX$tp '************************************************************************* (U DnsF eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H5/6TX72N GetConic eID, entity, curv, conic rK8lBy:< Fk&c=V;SU SetConic eID, entity, 1/Rant, CCant ueogaifvB Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant "@^k)d$ `z}?"BW| '************************************************************************* +qN>.y!Y 'Radius and conic constant of posterior lens &~cBNw| '************************************************************************* xWH.^o," eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) @Z_x.Y6 GetConic eID, entity, curv, conic %"i(K@ M5LfRBO SetConic eID, entity, 1/Rpost, CCpost c`)\Pb/O Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost h},IF dohA0 '************************************************************************* u4cnE" 'Lens thickness (Position of posterior lens surface) >%_ \;svZG '************************************************************************* \{_q.;} R3f89 parID = FindFullName( "Geometry.Arizona Eye.Lens" ) V5@:#BIs $j%'{)gK ' Delete any z-shift(s) /aCc17>2V{ count = 0 )EPjAv While GetOperationCount(eID)>count u= *FI GetOperation eID, count, op olB.*#gA If op.Type="ShiftZ" Then ;$, U~ 0 DeleteOperation eID,count G{~J|{t\yz count=count-1 tn\yI!a End If Pjf"CW+A count=count+1 G6Axs1a Wend @Rze|
T. *}qWj_RT 'Set new z-shift b<[Or^X
] op.Type = "ShiftZ" e-/&$Qq op.val1 = tlens )th<,Lo3# op.parent = parID 20h}
[Q( AddOperation eID, op 4/~E4"8 Print "Set lens thickness = " & tlens AEI>\Y H064BM '************************************************************************* 'T;P;:!\ 'Lens index of refraction ,$L4dF3 '************************************************************************* s*KhF'fN eID = FindMaterial( "Lens" ) kOrZv,qFG[ GetModelMaterial eID, mat {GT*ZU* & bm
1Fz mat.Nd = nlens #<"~~2? SetModelMaterial eID, mat %bn jgy Print "Set lens index of refraction = " & nlens !<8W
{LT sRR(`0Zp '************************************************************************* S"QWB`W2
'Pupil diameter CT<7mi! '************************************************************************* A/$QaB,x eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) V*;(kEqj ha<[bu e 'Adjust pupil diameter (trimming volume inner hole) e(;,`L\* r EE1sy/# SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" B2vh-%63 |Pax =oJ\M ' Adjust pupil location to just in front of the lens \ A#41
parID = FindFullName( "Geometry.Arizona Eye" ) a 7V-C eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) wh`"w7br count = 0 T@B/xAq5! While GetOperationCount(eID)>count Zd%k*BC GetOperation eID, count, op K:[F%e If op.Type="ShiftZ" Then oG?Xk%7&\ DeleteOperation eID,count /)>3Nq4Zx count=count-1 |$Sedzj' End If !;v|' I count=count+1 hpX9[3 Wend ^ig' bw+WS op.Type = "ShiftZ" `UyG_; op.val1 = taq-0.01 `:KY\ op.parent = parID UYJZYP%r AddOperation eID, op wH&!W~M
;(Or`u]Dr Print "Set pupil diameter = " & pupilDiam s
WvBv '3fu 'Update AZ Eye subassembly Description qS$Ox?Bw#u eID = FindFullName( "Geometry.Arizona Eye" ) dt]-,Y
GetEntity eID, entity L|7R9+ZG entity.Description = "Accommodation = " & A & "D" Qx#"q '2 SetEntity eID, entity &i6mW8l #&aqKVY Update G`61~F% Print "DONE!" U(g:zae hd<c&7|G' End Sub F^BS/Yag &%DY \* 如果屈光度是4,光瞳直径是4,则会输出如下数据: Y eo]]i{ dn+KH+v Accommodation = 4 Diopters \'D0'\:vz Pupil Diameter = 4 mm 5L%'@`mX Set aqueous humor thickness = 2.81 n
M*%o- Set anterior lens radius = 10.4 and conic constant = -2.375869 =s2*H8] Set posterior lens radius = -4.424557 and conic constant = -3.081019 ,!y$qVg'\f Set lens thickness = 3.927 Y"aJur=` Set lens index of refraction = 1.42672 S`0(*A[W* Set pupil diameter = 4 & l&:`nsJ DONE! q,|j]+9q 9}<ile7^ +gtbcF@rx QQ:2987619807 JIOR4' 9
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