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简介 j94=hJVKi 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。 )E@.!Ut4o Ln<`E|[29 模型
}mq6]ZrK R0]1xGz 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。 OXSmt
DvJ #crQ1p) \ Table 1. AZ眼睛模型的定义 %D}kD6= 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. (%e.:W${ 9_rYBX 光源 JG!mc7 *,8^@(th 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。 mD0f<gJ1 7>Ouqxh21 [OV"}<V 图1. 光源和提示信息使用 tI TS1 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。 >WQMqQ^t@ rc>4vB_ha 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。 6YLj^w] % QP^Cx= 图2. 字母F光源的设定方法光 Ym{tR,g7 ZaDyg"Tw+ 图3. 字母F在视网膜上位置点列图 { MSkHf= 视网膜的散射 B^Nf #XN( eJVjuG 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。 qL&[K>2z _8riUt H*QIB_ 图4. 视网膜朗伯散射设定 O=&0 H|B 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。 U;V7 u/{ }QcCS2)Ud *1
]uH e 图5. 视网膜重点采样规格设定 !M]uL&: 脚本 q J=~Y|( 5k3n\sqZA 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: be{H$9' HU}7zK2 图6. 用户对话框的创建与编辑 1onM j 图7. 用户对话框编辑器 kg~mgMR+w 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 :q7Wy&ow 余下的脚本计算与屈光度有关的所有参数。 I^]2K0+x x Zq|I,l0+E 分析 FQ2 *{@Nq=fE 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 /W30~y Xy&A~F 图7. 字母F在视网膜上颜色分析 5\sd3<:+ 脚本代码 el<s8:lA 9J*\T(W Option Explicit 'Remove this to enable non-dimensioned variables to be used. mpEK (p SSg8}m5)Q Dim entity As T_ENTITY Ae^~Cz1qz Dim op As T_OPERATION sw oQ' Dim mat As T_MODELMATERIAL @= Uh',F Dim A As Double -.@r#d/ Dim pupilDiam As Double eRstD>r Dim eID As Long Z{Qu<vy_ Dim parID As Long }wjw:M Dim count As Integer };bEU wGWf Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double {G0T$,'DR Dim tlens As Double, nlens As Double ks qQM Dim curv As Double, conic As Double V/LLaZTE Dim ok As Long 9y8&9<# O67W&nz Sub Main <X^@*79m 4qbBc1,7y '用户输入对话框
4*#18<u5 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 UWJ8amA TextBox 220,21,40,21,.TextBox1 'default: 0 B=T'5& Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 |t&>5HM OKButton 40,91,90,21 S_4?K)n # CancelButton 190,91,90,21 Ugt/rf5n Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 VUGmi]qd TextBox 220,49,40,21,.TextBox2 'default: 4 $}q23 End Dialog \?ZB]*Fu Dim dlg As UserDialog |A9F\A->4 T_
<@..C ok = Dialog (dlg) @#>rYAb8, ~i{(<.he If ok=0 Then 'cancel button was pressed -1_)LO&H Print "Execution cancelled." Jk11fn;\> End f=Gg9bnm3 End If ")5":V~fN T#Z^s~7&I 'Assign accommodation and pupil diameter & use defaults if field left empty ,vawzq[oSy If dlg.TextBox1 = "" Then !cLo>,4 A = 0 'Default accommodation z`}qkbvi Else S-b/S5 A = CDbl(dlg.TextBox1) aQc leTb End If ]t,BMu=% (9GWbB? If dlg.TextBox2 = "" Then uc\Kg1{ pupilDiam = 4 'Default pupil diameter KYhw OGN Else {.|CdqwY pupilDiam = CDbl(dlg.TextBox2) ~.nmI&3 End If aEWWP] P%VSAh\|n Print " " }W8;=$jr Print "Accommodation = " & A & " Diopters" nYSiS}?S. Print "Pupil Diameter = " & pupilDiam & " mm" 7#a-u<HF" jo@6?(
*4 ' Calculate new parameters with accommodation l0m-$/ taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness D|p9qe5% I)[DTCJ~ Rant = 12.0 - 0.4*A 'Radius of anterior lens 1{.|+S Z! CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens Y%^w:|f^ ,HV(l+k {| Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 2(+2+} CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens 'ya{9EdlT XJ\DVZ tlens = 3.767 + 0.04*A 'Lens thickness At>DjKx]O T/~f~Z z nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction iByf{ I>+ ,V m
< rK 'Adjust parameters to account for accommodation ]^7@}Ce_ s`8= 3]w '************************************************************************* UHkMn 'Aqueous thickness (Position of Lens) q!7ANib6O '************************************************************************* Y=I'czg eID = FindFullName( "Geometry.Arizona Eye.Lens" ) OLGE !&!> GetCustomElement eID, entity i$#;Kpb`^ Pn1^NUMZJ parID = FindFullName( "Geometry.Arizona Eye" ) _8J.fT$${ ((;!<5-`s ' Delete any shift(s) in z -f^tE,- count = 0 q`7PhA While GetOperationCount(eID)>count &`r-.&Y GetOperation eID, count, op 9:|{6_Y If op.Type="ShiftZ" Then k%#EEMh DeleteOperation eID,count `UaD6Mc<Mz count=count-1 ZvX*t)VjTz End If s^9Voi.y count=count+1 ^
VyKd Wend exUFS5d [l??A3G 'Set new shift in lb3bm)@: op.Type = "ShiftZ" RSRS wkC op.val1 = taq #gN&lY:CFn op.parent = parID ,w4(kcg%iQ AddOperation eID, op T3<4B!UB& Print "Set aqueous humor thickness = " & taq-0.55 7xlkZF xLajso1g69 '************************************************************************* :eCwY 'Radius and conic constant of anterior lens
Pmx-8w '************************************************************************* }R2u@%n{ eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) V2EUW!gn
2 GetConic eID, entity, curv, conic b_taC^-l iWkWR"ysy SetConic eID, entity, 1/Rant, CCant \*?~Yj# Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant _;y9$"A VCkq"f7cw '************************************************************************* Q3~H{)[Kq 'Radius and conic constant of posterior lens Hvi49c]] '************************************************************************* t{9GVLZ eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) $%d*@'c GetConic eID, entity, curv, conic oZgjQM$YP H%tdhu\e SetConic eID, entity, 1/Rpost, CCpost F/{!tx Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost ="H`V V_ C{rcs' '************************************************************************* 0#hlsfc]\ 'Lens thickness (Position of posterior lens surface) !f[_+CD '************************************************************************* q?yVR3]M 8TKnL\aar parID = FindFullName( "Geometry.Arizona Eye.Lens" ) >+1duAC U7F!Z(
9 ' Delete any z-shift(s) tcI*a> count = 0 !e<^?
r4 While GetOperationCount(eID)>count 0s[Hkhls GetOperation eID, count, op 2%m BK If op.Type="ShiftZ" Then X+9>A.92 DeleteOperation eID,count b8UO,fY q count=count-1 v\ )W?i*l End If ~36!?&eA8 count=count+1 {VRf0c Wend {!L~@r ;6$jf:2m 'Set new z-shift C1)!f j= op.Type = "ShiftZ" Bwxd&;E op.val1 = tlens 6bC3O4Rw op.parent = parID 2[W&s& AddOperation eID, op ZY+qA Print "Set lens thickness = " & tlens 5t]H?b8 Jnov<+ '************************************************************************* Q197mN+0 'Lens index of refraction Y:[u1~a '************************************************************************* ~$^XP.a. eID = FindMaterial( "Lens" ) L="}ErmK GetModelMaterial eID, mat :"c*s4 0GeTSFj mat.Nd = nlens rV#ch( SetModelMaterial eID, mat onzxx4bax Print "Set lens index of refraction = " & nlens #"~<HG}bR/ wmLs/:~ '************************************************************************* #_p\Ie*rd 'Pupil diameter UCj ld '************************************************************************* H.MI5O (Q eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) e\L8oOk#r f-Z/tfC 'Adjust pupil diameter (trimming volume inner hole) .ioEIs g rx|pOz,: SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 5$k:t
;i+jJ4 ' Adjust pupil location to just in front of the lens &^jXEz; parID = FindFullName( "Geometry.Arizona Eye" ) L!xi eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) tWcHb # count = 0 Dlvz) While GetOperationCount(eID)>count +M/%+l GetOperation eID, count, op @q)d If op.Type="ShiftZ" Then YT,{E,U; DeleteOperation eID,count 3Y$GsN4ln count=count-1 cvL;3jRo End If K}Qa~_ count=count+1 y:uE3Apm Wend tCt#%7J;a op.Type = "ShiftZ" <a3WKw op.val1 = taq-0.01 eHUOU>&P] op.parent = parID r~['VhI!;E AddOperation eID, op (E1~H0^ CrTw@AW9) Print "Set pupil diameter = " & pupilDiam $XH^~i; %xLhZ\ 'Update AZ Eye subassembly Description Ny/MJ#Lq eID = FindFullName( "Geometry.Arizona Eye" ) p]c%f2E>d GetEntity eID, entity 5z)~\;[ - entity.Description = "Accommodation = " & A & "D" J{G?-+` SetEntity eID, entity A04U /; v3>UV8c' Update GM<9p_
B Print "DONE!" jPkn[W#
6 *oix 6 End Sub E]r?{t`] 0"z9Q\{} 如果屈光度是4,光瞳直径是4,则会输出如下数据: F!K>K z dPRra{ Accommodation = 4 Diopters u*9V&>o Pupil Diameter = 4 mm (QB2T2x Set aqueous humor thickness = 2.81 )+Pus~w Set anterior lens radius = 10.4 and conic constant = -2.375869 9>#6*/Oa7 Set posterior lens radius = -4.424557 and conic constant = -3.081019 u ^RxD^=L Set lens thickness = 3.927 M',?u Set lens index of refraction = 1.42672 %;!.n{X Set pupil diameter = 4 _q^E,P DONE! _@/8gPT*i 7{Wny&[0 (文章来源:讯技光电)
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