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简介 OC-gA}FZ-} PB;eHy 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。 !;?+>R)h Pj}66. 模型 Cj~'Lhmv'T [!!Q,S"
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。 Tg!m`9s+ '%q$`KDb Table 1. AZ眼睛模型的定义 h1'\:N` 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. EoK~S\dS eek7=Z 光源 ;4Y%PVz~D ggJO:$?$L 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 6I@h9uIsze ;L']e"G uj :%#u 图1. 光源和提示信息使用 y;s`P. 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 +v=C@2T dC RyOid$ 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。 ]]zPq<b2 Na:w]r:y 图2. 字母F光源的设定方法光 H1}
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%1 图3. 字母F在视网膜上位置点列图 :Nz9xD$S5 视网膜的散射 8ji_#og euC&0Ee2 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 Ytl4kaYS ZMel{w`n Z<vKQ4G 图4. 视网膜朗伯散射设定 )ubiB^g'm 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 J:Qa5MTWp K*~0"F>"0 r,h%[JKM 图5. 视网膜重点采样规格设定 u:=7l 脚本 B]Thn )c)vTZy 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: [Al& (L/_^!ZX 图6. 用户对话框的创建与编辑 "vOwd.(?N 图7. 用户对话框编辑器 ev*k*0
如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 4rLL[?? 余下的脚本计算与屈光度有关的所有参数。 PK `D8)=u |'B7v i) 分析 .=s&EEF ;IZwTXu !S 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 [D\k^h AJF#Aw `o 图7. 字母F在视网膜上颜色分析 /w}u3|L$ 脚本代码 Jcrw#l8|C G;l_|8<t#\ Option Explicit 'Remove this to enable non-dimensioned variables to be used. ^SF&=NpV kZmpu?P Dim entity As T_ENTITY &7K?w~ Dim op As T_OPERATION T7hcnF$ Dim mat As T_MODELMATERIAL Q o{/@ Dim A As Double -#N.X_F Dim pupilDiam As Double #Up86(Z Dim eID As Long h eV=)8 Dim parID As Long ddJe=PUb Dim count As Integer <+?7H\b Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double ]QlwR'&j/n Dim tlens As Double, nlens As Double ]H+8rY%+ Dim curv As Double, conic As Double 0"28' Dim ok As Long j~[z2tV jK& h~) Sub Main e?8FN. q 2{H@(Vgpbr '用户输入对话框 s;01u_ Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 7o#I,d~ TextBox 220,21,40,21,.TextBox1 'default: 0 G}b]w~ML~ Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 LnH ?dy OKButton 40,91,90,21 @1o/0y" CancelButton 190,91,90,21 T[UN@^DP( Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 H4&lb} TextBox 220,49,40,21,.TextBox2 'default: 4 )<h*eS{ End Dialog
3KlbP Dim dlg As UserDialog "Q@ronP(~ P-y jN ok = Dialog (dlg) iJ1"at FQ<Ju. If ok=0 Then 'cancel button was pressed /
F4z g3 Print "Execution cancelled." MOQ*]fV: End qNB<T(' End If R;uvkg[o >UiYL}'br6 'Assign accommodation and pupil diameter & use defaults if field left empty N4F.Y"R$( If dlg.TextBox1 = "" Then :LF? A = 0 'Default accommodation v&DI`xn~ Else tE<H|_{L A = CDbl(dlg.TextBox1) cQy2"vtU End If 5q3JI lb4Pcdj If dlg.TextBox2 = "" Then =.Pw`. pupilDiam = 4 'Default pupil diameter vlmB`T Else 2_HNhW
pupilDiam = CDbl(dlg.TextBox2) ! >(7+B3E* End If jnO9j_CY !Xf5e*1IS Print " " t5\-v_mG=& Print "Accommodation = " & A & " Diopters" pjKWtY@=X Print "Pupil Diameter = " & pupilDiam & " mm" *2pt%eav =_JjmTy;a ' Calculate new parameters with accommodation yVU^M?`# taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness V_:1EBzz ,w<S|#W~+ Rant = 12.0 - 0.4*A 'Radius of anterior lens x kx^%3dV CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens @vC4[:"pD} -$,TMqM Rpost = -5.224557 + 0.2*A 'Radius of posterior lens DE}K~}sbd CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens XixL R Gw/Pk4R tlens = 3.767 + 0.04*A 'Lens thickness 36}?dRw#p }7|1 nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction )B"jF>9)[ oK6tTK 'Adjust parameters to account for accommodation eenH0Ovv |mxDjgq '************************************************************************* aL+
o / 'Aqueous thickness (Position of Lens) 44ek
IV+? '************************************************************************* ?PuBa`zDE eID = FindFullName( "Geometry.Arizona Eye.Lens" ) ZCMw3]* GetCustomElement eID, entity h5*JkRm !"?#6-,Xn parID = FindFullName( "Geometry.Arizona Eye" ) !#], hok8X eBZXI)pPh ' Delete any shift(s) in z R1adWBD> count = 0 Q|S.R1L^ While GetOperationCount(eID)>count B3pCy~*5 GetOperation eID, count, op "h{q#~s If op.Type="ShiftZ" Then ! E<[JM DeleteOperation eID,count `x+ B+)0X count=count-1 =)0,#9k U] End If *v;2PP[^ count=count+1 'nzg6^I7g Wend 8g@<d^8@ Sq>dt[7 'Set new shift in Xb|:vr\v op.Type = "ShiftZ" LM:vsG op.val1 = taq K[I=6 op.parent = parID 27eooY1 AddOperation eID, op /hr7NT{e%v Print "Set aqueous humor thickness = " & taq-0.55 f',Op1o }*M6x;t '************************************************************************* <T` 7%$/E 'Radius and conic constant of anterior lens ne>pOK<vZ '************************************************************************* 0.`/X66;V eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) TH%Qhv\] GetConic eID, entity, curv, conic $SlIr<'*" wL+s8#{ SetConic eID, entity, 1/Rant, CCant Q:2>}QgX} Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant D$w6V nHM~ '************************************************************************* zU5v /'h>d 'Radius and conic constant of posterior lens
(ZS}G8 '************************************************************************* Lu?C-$a C eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) [T8WThs GetConic eID, entity, curv, conic =:xW>@bh| aB_F9;IR SetConic eID, entity, 1/Rpost, CCpost 1T"`vtR Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost vLv@&lMW Xpr?Kgz '************************************************************************* XQY#716) 'Lens thickness (Position of posterior lens surface) QmQ=q7 '************************************************************************* A!od9W6 ui<N[ parID = FindFullName( "Geometry.Arizona Eye.Lens" ) H`*LBqDk 3atBX5 ' Delete any z-shift(s) D#_3^Kiawj count = 0 5#HW2"7 While GetOperationCount(eID)>count .M qP_Z', GetOperation eID, count, op GSoX<*i If op.Type="ShiftZ" Then UE8kpa)cQ DeleteOperation eID,count `LrHKb
aP count=count-1 ahJ`T*)HY End If L^r#o-H< count=count+1 aZH:#lUlj Wend (of#(I[m7 ]Z>}6! 'Set new z-shift TJ2=m9Z op.Type = "ShiftZ" P@,XEQRd` op.val1 = tlens
|tKsgj op.parent = parID ]3D0R; AddOperation eID, op BGvre'67 Print "Set lens thickness = " & tlens S(k3 `;K =rMUov h '************************************************************************* pd:WEI
, 'Lens index of refraction piJu+tUy '************************************************************************* r )Ma3FL0; eID = FindMaterial( "Lens" ) G0CW}e@) GetModelMaterial eID, mat [u
=+3b 8+~
>E mat.Nd = nlens '*Z1tDFS SetModelMaterial eID, mat cutu DZ Print "Set lens index of refraction = " & nlens ?j'7l=94A ?fQ'^agq '************************************************************************* TEP,Dq 'Pupil diameter
Y[ j6u\y '************************************************************************* TYy?KG>:' eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) 9>=;FY h}>"j%I 'Adjust pupil diameter (trimming volume inner hole) O\
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Ryl:a\ SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" )\1@V+!E% [meO[otb ' Adjust pupil location to just in front of the lens o8 IL$: parID = FindFullName( "Geometry.Arizona Eye" ) t=BUN eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) sZ3KT& count = 0 IY_iB*T3jt While GetOperationCount(eID)>count sv2A-Dld GetOperation eID, count, op mu\6z_e If op.Type="ShiftZ" Then 1NbG>E#Ol DeleteOperation eID,count fJ=0HNmX count=count-1 cb@?}(aFl End If fZ6MSAh count=count+1 `vU%*g&R Wend Y@NNrGDkT* op.Type = "ShiftZ" Rm2yPuOU}A op.val1 = taq-0.01 im${3 >26 op.parent = parID SU MrFd~ AddOperation eID, op N,<uf@LQ /?wtF4 Print "Set pupil diameter = " & pupilDiam kS %Ydy#:' TCMCK_SQL 'Update AZ Eye subassembly Description >>QY'1Eu eID = FindFullName( "Geometry.Arizona Eye" ) l94b^W}1)W GetEntity eID, entity HNb/-e ," entity.Description = "Accommodation = " & A & "D" ~Sdb_EZ SetEntity eID, entity <3oWEm aKJwofD Update R]JT&p|w.1 Print "DONE!" vRznw&^E pg6cF End Sub EW}Bz h>b R
&nPj~ 如果屈光度是4,光瞳直径是4,则会输出如下数据: *-#&K\ SDC4L <! Accommodation = 4 Diopters }cM}Oavh Pupil Diameter = 4 mm \9.bt:k@OT Set aqueous humor thickness = 2.81 |+{)_? Set anterior lens radius = 10.4 and conic constant = -2.375869 fIM,lt Set posterior lens radius = -4.424557 and conic constant = -3.081019 Vk`h2BV Set lens thickness = 3.927 9,c(ysv" Set lens index of refraction = 1.42672 O5!7'RZ Set pupil diameter = 4 _aq8@E~ DONE! T*I{WW W4t;{b ?#Ge.D~u QQ:2987619807 Ah1]Y}sy
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