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简介 P;V$%r`yD < )dqv0= 人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 (9#$za> 4@b~)av) 模型 JH4hy9i )Oxsasn)M 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。 K/Q%tr1W0 :7,j%ELic Table 1. AZ眼睛模型的定义 y_>l'{w3^ 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. ^/0c`JG!x B1x# 7>K 光源 w)#Lu/ Q"6:W2#v 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。 Z%Kkh2-uh BwLggo 1Mf tq4nq 图1. 光源和提示信息使用 D%=VhKq 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。 g[D(]t\#x Ix-bJE6+I, 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。 ?5N7,|K) N)kZ2|oD 图2. 字母F光源的设定方法光 0tL#-47 sew0n`d1 图3. 字母F在视网膜上位置点列图 w$XqxI/& 视网膜的散射 Jv,*rQH o9<)rUy 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。 _~l*p"PL<
5f~49(v] Oc
Gg'R7 图4. 视网膜朗伯散射设定 LpQ=Y]{j 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。 6njwrqo sjZ@}Vk3b DOsQVdH 图5. 视网膜重点采样规格设定 Y<]A5cm 脚本 $QNII+o
E*sQ|" g 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: '%W`:K' m@Q%)sc) 图6. 用户对话框的创建与编辑 !OCb^y 图7. 用户对话框编辑器 !08\w@ 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 q':P9o*N? 余下的脚本计算与屈光度有关的所有参数。 8wi2&j_ ?;bsg9 分析 P^)J^{r PnUYL.v 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 LX!MDZz iI]E%H} 图7. 字母F在视网膜上颜色分析 l_ES$%d 脚本代码 .|VWYN ,\DSi&T Option Explicit 'Remove this to enable non-dimensioned variables to be used. Vx~N`|yY R7
WGc[ Dim entity As T_ENTITY ![ce=9@t< Dim op As T_OPERATION apkmb< Dim mat As T_MODELMATERIAL oEuV&m|yX Dim A As Double \FL`b{!+ N Dim pupilDiam As Double ,.K}uW Dim eID As Long Rxf.@E Dim parID As Long k"L?("~ Dim count As Integer &gr)U3w Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double a(s%3"*Q Dim tlens As Double, nlens As Double Ec/-f`8 Dim curv As Double, conic As Double aANzL Dim ok As Long <5xlP:Cx O0~Qh0~l Sub Main 7`G
FtX} ?xT ^9 '用户输入对话框 a3Fe42G2c| Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 \Wn0,%x2 TextBox 220,21,40,21,.TextBox1 'default: 0 TwT@_~IM Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 ar%!h~ OKButton 40,91,90,21 :&'[#%h8 CancelButton 190,91,90,21 y.6Yl**l Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 n a3st*3V_ TextBox 220,49,40,21,.TextBox2 'default: 4 a9sbB0q-K@ End Dialog ?j:g. a+U Dim dlg As UserDialog q=J8SvSRl (%\tE ok = Dialog (dlg) |/M^q{h&7s 5ieF8F% If ok=0 Then 'cancel button was pressed ,QZNH?Cp/ Print "Execution cancelled." AB0>|. End \Q~HL_fy|Y End If 1oSU>I_i px~ :'U 'Assign accommodation and pupil diameter & use defaults if field left empty DQ{"6- If dlg.TextBox1 = "" Then i\yp(tE%^ A = 0 'Default accommodation Q\qI+F2? Else tDQo1,(oY A = CDbl(dlg.TextBox1) zir?13N7 End If dSkx*#FEE UVlXDebl If dlg.TextBox2 = "" Then S4!}7NOh pupilDiam = 4 'Default pupil diameter vkK8D#K Else -SeHz.`N pupilDiam = CDbl(dlg.TextBox2) Mf_urbp] End If 1<n'F
H3 8_h:_7e Print " " 0V!@*Z Print "Accommodation = " & A & " Diopters" 3$#=*Zp Print "Pupil Diameter = " & pupilDiam & " mm" &f_ua)cyY J*zm*~8\ ' Calculate new parameters with accommodation e'MLLC[ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness 4Mr)~f rc YX,xC-37y Rant = 12.0 - 0.4*A 'Radius of anterior lens 8v12<ktR` CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens in>.Tax* U+7!Vpq Rpost = -5.224557 + 0.2*A 'Radius of posterior lens FrL
;1zt CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens tFrNnbmlQ AY)R2>
fW% tlens = 3.767 + 0.04*A 'Lens thickness N&YQZ^o d xk~ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction i^_?C5 f)9{D[InM^ 'Adjust parameters to account for accommodation kgGMA 7Jy f`Wces=5 '************************************************************************* U!D\Vd 'Aqueous thickness (Position of Lens) _2p D '************************************************************************* #Ab,h#f*7 eID = FindFullName( "Geometry.Arizona Eye.Lens" ) =+>^:3cCQ GetCustomElement eID, entity 1_RN*M+# XMi)PXs$ parID = FindFullName( "Geometry.Arizona Eye" ) k.K;7GZC 5
cz6\A& ' Delete any shift(s) in z s{@3G8 count = 0 bG&vCH;}% While GetOperationCount(eID)>count T.B}k`$ GetOperation eID, count, op n\'@]qG)Z4 If op.Type="ShiftZ" Then ,Jqk0cW2 DeleteOperation eID,count EhK~S(r^ count=count-1 p5?8E$VHV End If Hr/3nq}. count=count+1 snti*e4"V Wend :j[a X7Sq2 r3mQoTvnv 'Set new shift in O od?ifA op.Type = "ShiftZ" h$#zuqm op.val1 = taq qytH<UB op.parent = parID S/H!a:_5r AddOperation eID, op ?CHFy2%Y Print "Set aqueous humor thickness = " & taq-0.55 wW1>#F 6Cvg-X@ '************************************************************************* $]I",ef 'Radius and conic constant of anterior lens 5l,Q=V^@l '************************************************************************* fNNik7 eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) q+ )csgN GetConic eID, entity, curv, conic u8sK~1CPf d`ESe'j: SetConic eID, entity, 1/Rant, CCant e,rCutA) Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant [(eO_I5ep ]YqeI*BX '************************************************************************* A_xUP9g@? 'Radius and conic constant of posterior lens VSQxlAGk@ '************************************************************************* ~vv\A5O[| eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) HS[N]'dc GetConic eID, entity, curv, conic xGVL|/?8 dd|/I1 SetConic eID, entity, 1/Rpost, CCpost ZW>?y$C+ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost &bw
``e&c `|d&ta[{ '************************************************************************* xK;WJm" 'Lens thickness (Position of posterior lens surface) L7 f' '************************************************************************* mIUpAOC`"Z dX>l"))yR parID = FindFullName( "Geometry.Arizona Eye.Lens" ) XF=GmkO ?Rg8u ' Delete any z-shift(s) 3t^r;b count = 0 a eo/4 While GetOperationCount(eID)>count ;zZGV4Qc~ GetOperation eID, count, op p@x1B
&Z If op.Type="ShiftZ" Then A"`(^#a DeleteOperation eID,count kTe0" count=count-1 ecl$z6'c End If M+q|z0 U count=count+1 jhmWwT/O8^ Wend w+Cs=! jf'#2-
'Set new z-shift q,H
0=\ op.Type = "ShiftZ" glvtumv op.val1 = tlens `fUem,$)1F op.parent = parID tzFgPeo$; AddOperation eID, op ?]bZ6|;2 Print "Set lens thickness = " & tlens wtL_c %`Q<_LTU '************************************************************************* k2S6 SB 'Lens index of refraction =W
Q_5} '************************************************************************* 4lqowg0 eID = FindMaterial( "Lens" ) V$7SVq GetModelMaterial eID, mat Z*Qra4GBl] wt@q+9: mat.Nd = nlens wZV/]jmlEt SetModelMaterial eID, mat ixFuqPij Print "Set lens index of refraction = " & nlens RO1xcCp (!^(74 '************************************************************************* Im\{b=vT 'Pupil diameter !SFF 79$c '************************************************************************* i C
nWb eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 4LBMhLy BEv>?T
0
'Adjust pupil diameter (trimming volume inner hole) l'2a?1/q f/:XIG SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 2nFSu9}+r 6k=ink-/ ' Adjust pupil location to just in front of the lens v!pT!(h4 parID = FindFullName( "Geometry.Arizona Eye" ) ~Z'3(n*9 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) PB :Lj count = 0 ~X/1% While GetOperationCount(eID)>count .d;XLS~ GetOperation eID, count, op u!X$M?D4 If op.Type="ShiftZ" Then mt+IB4` DeleteOperation eID,count N:y3tpG count=count-1 4D`T_l End If xM/B"SG2 count=count+1 YAIDSZ&l[ Wend s C9j73vf op.Type = "ShiftZ" (Hcd{]M~ op.val1 = taq-0.01 H?P:;1A]c op.parent = parID 8W]6/st?] AddOperation eID, op >g]kbes-\ kphv)a4z= Print "Set pupil diameter = " & pupilDiam XZv(B^ A&2 )iQ 'Update AZ Eye subassembly Description z~/z>_y$nv eID = FindFullName( "Geometry.Arizona Eye" ) \V|\u= @H GetEntity eID, entity %s;#epP$ entity.Description = "Accommodation = " & A & "D" "b!EtlT9 SetEntity eID, entity ['MG/FKuv _M/ckv1q@ Update `o6Hm Print "DONE!" ; J~NfL zUM;Qwl End Sub @LS*WJ< w- k;w1y( 如果屈光度是4,光瞳直径是4,则会输出如下数据: wjF/c oyBBW?m Accommodation = 4 Diopters <|NP!eMsw8 Pupil Diameter = 4 mm ?*~W Set aqueous humor thickness = 2.81 -,Q
!: Set anterior lens radius = 10.4 and conic constant = -2.375869 t%e}'?#^ Set posterior lens radius = -4.424557 and conic constant = -3.081019 /HsJyp+t Set lens thickness = 3.927 ISI\<qx Set lens index of refraction = 1.42672 8I)66 Set pupil diameter = 4 a
W`q DONE! uoYG@L2 yVvO! gRS}Y8 QQ:2987619807 :A\8#]3
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