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简介 +rfw)c' ?d0I*bs)7 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。 w4<1*u@${ :o?On/ 模型 u.x>::i& 3qE2mYK 模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 ,]\L\ V jQ@z!GirT Table 1. AZ眼睛模型的定义 c#|!^gjf 在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. "detDB
%WiDz0o 光源 ^.aFns{wv n.n;'p9t@ 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 e82SG8#] _Je<_pl!D I9rWut@+ 图1. 光源和提示信息使用 d}j%.JJK 除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 v8W .84e- pZUckQ 在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 zBtlkBPu ?8X;F"Ba 图2. 字母F光源的设定方法光 <V0]~3 b^_#f:_j 图3. 字母F在视网膜上位置点列图 0eUK' 视网膜的散射 oP;"`^_ l8 k@.<nCO 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 _>+!&_h fT.18{'> q">lP(t 图4. 视网膜朗伯散射设定 / E}L%OvE 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 C?m2R(RF 4<[,"<G~3 T'B4 3Q 图5. 视网膜重点采样规格设定 wO9|_.Z{ 脚本 "7}bU_" :s f]Z%,'1^ 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: :_V9Jwu d"o5uo 图6. 用户对话框的创建与编辑 O?5uCh$H 图7. 用户对话框编辑器 &u&+:m 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。 ~(bY-6z 余下的脚本计算与屈光度有关的所有参数。 uNSaw['0j >>/|Q: 分析 ?!TFoD2' V,:^@ 7d 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 $2uk;&"?A= }zC9;R(E 图7. 字母F在视网膜上颜色分析 Wd"<u2 脚本代码 )tYu3*' 55Z)*JMv Option Explicit 'Remove this to enable non-dimensioned variables to be used. 0T,uH AB(WK9o Dim entity As T_ENTITY ~+DPq|-O Dim op As T_OPERATION X)7_@,7 Dim mat As T_MODELMATERIAL EMy>X Dim A As Double #C^)W/dP Dim pupilDiam As Double 1%Hc/N- Dim eID As Long Nl/^ga Dim parID As Long t Sibzl~ Dim count As Integer TLu+5f Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double p1tqwV Dim tlens As Double, nlens As Double rSu+zS7`X Dim curv As Double, conic As Double y
buKwZFC Dim ok As Long 4^uQB(}Z V'b$P2 ?^ Sub Main vYl2_\,Y? 3Ye{a<ckK '用户输入对话框 PU8>.9x Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 NJ]AxFG TextBox 220,21,40,21,.TextBox1 'default: 0 zm>^!j
! Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 U]Y</>xGI
OKButton 40,91,90,21 o6bT.{8\ CancelButton 190,91,90,21 EKu%I~eM Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 7:/gO~gI TextBox 220,49,40,21,.TextBox2 'default: 4 |k.%e4 End Dialog CcCcuxtR Dim dlg As UserDialog Ymvd3> _ tuK2D,6 ok = Dialog (dlg) f4'WT N!~O~Eo3 If ok=0 Then 'cancel button was pressed 2WO5Af% Print "Execution cancelled." lKdd3W"o End 6W\G i> End If =D~>$Y ohU}ST:9 'Assign accommodation and pupil diameter & use defaults if field left empty &&PXWR!%] If dlg.TextBox1 = "" Then njxfBA: A = 0 'Default accommodation gN@|lHbU Else "ov270: A = CDbl(dlg.TextBox1) sP:nTpTsC End If gwGw /SW*y@R2l If dlg.TextBox2 = "" Then zgNzdO/B pupilDiam = 4 'Default pupil diameter TJ_Wze-lQ Else s$gR;su)g pupilDiam = CDbl(dlg.TextBox2) )JrG`CvdU End If ;kDUQw -DuI
6K Print " " -I?8\ Print "Accommodation = " & A & " Diopters" =h\unQ1T Print "Pupil Diameter = " & pupilDiam & " mm" p>N8g#G {8* d{0l ' Calculate new parameters with accommodation ;rRV=$y taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness Z% DJ{!Hnh |:w)$i& * Rant = 12.0 - 0.4*A 'Radius of anterior lens "wy2u~ CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens 1*GL;W~ix* F|a'^:Qs Rpost = -5.224557 + 0.2*A 'Radius of posterior lens m'zve%G CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens \
)WS^KR% )b?$
4<X^ tlens = 3.767 + 0.04*A 'Lens thickness r2*8.j51
NDUH10Y:[ nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction ZsNZ3;d@u( t"s$YB>} 'Adjust parameters to account for accommodation UgLFU# pZcY[a '************************************************************************* Zg%tN#6y 'Aqueous thickness (Position of Lens) KKq%'y)u^ '************************************************************************* k|,Y_h0Y eID = FindFullName( "Geometry.Arizona Eye.Lens" ) fK^W6)uuV GetCustomElement eID, entity P;`Awp? sW-0G$,| parID = FindFullName( "Geometry.Arizona Eye" ) }Y^o("c(
= GyABK ' Delete any shift(s) in z G@KDRv count = 0 G^sx/H76J While GetOperationCount(eID)>count I7wR[&L885 GetOperation eID, count, op IH&0>a If op.Type="ShiftZ" Then PJ)l{c DeleteOperation eID,count b"aF-,M> count=count-1 qSGM6kb End If Pr:\zI count=count+1 KL6B!B{; Wend mlxtey6H3 Fge["p?GF 'Set new shift in
:>iN#)S op.Type = "ShiftZ" iZLy#5(St op.val1 = taq t`="2$NO op.parent = parID ;\v&4+3S AddOperation eID, op xL*J9&~iG Print "Set aqueous humor thickness = " & taq-0.55 ;mYZ@g%e h
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V '************************************************************************* }N}Js* 'Radius and conic constant of anterior lens h% KEg667 '************************************************************************* *u-$$@|y eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) zYP6m3n GetConic eID, entity, curv, conic $KQ q~| `KtP;nG SetConic eID, entity, 1/Rant, CCant \WBO(,]V Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant Dw/vXyZ b*Q3j}c Z '************************************************************************* z#Fel/L`O 'Radius and conic constant of posterior lens P z~jW):E '************************************************************************* pSb tm74 eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) x|yJCs> GetConic eID, entity, curv, conic < =~=IZ) j^5YFUwsQg SetConic eID, entity, 1/Rpost, CCpost eKy!Pai Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost tkH]_cH'w cxQAp '************************************************************************* O\ _ro. 'Lens thickness (Position of posterior lens surface) }AA">FF'y4 '************************************************************************* E}KGZSj ilde<!? parID = FindFullName( "Geometry.Arizona Eye.Lens" ) m 94PFD@N <5D4h! ' Delete any z-shift(s) n807?FORB count = 0 1)^\R(l While GetOperationCount(eID)>count ZG0^O"B0 GetOperation eID, count, op bZ1*:k2 If op.Type="ShiftZ" Then `kJ)E;v;3 DeleteOperation eID,count ?_FL
'G count=count-1 Pn^ `_ End If `u}_O(A1pA count=count+1 5q*s_acQ Wend :A
zll s %VFoK-a 'Set new z-shift JH{/0x#+ op.Type = "ShiftZ" VsJ+-IHm op.val1 = tlens xhbN=L op.parent = parID nhdZC@~E0 AddOperation eID, op O-HS)g$2 Print "Set lens thickness = " & tlens \#(1IC`as r:$tvT* '************************************************************************* U+qyS|i 'Lens index of refraction (_|*&au J '************************************************************************* C 2nmSXV eID = FindMaterial( "Lens" ) FJDC^@ Ne GetModelMaterial eID, mat pJvPEKN r@}`Sw]@ mat.Nd = nlens ij!d-eM/b SetModelMaterial eID, mat _,!0_\+i Print "Set lens index of refraction = " & nlens COsmVQ. #lrwKHZ+ '************************************************************************* L~-/'+ 'Pupil diameter 9c[X[Qc '************************************************************************* Bkd$'7UT eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) dkz%
Y] jhm/<= 'Adjust pupil diameter (trimming volume inner hole) IK\~0L;ozE Sc]K-]1(H SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" 3s/1\m% ",3v%$> ' Adjust pupil location to just in front of the lens ?/OF=C# parID = FindFullName( "Geometry.Arizona Eye" ) _]OY[&R eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) }ofb]_C, count = 0 )][U6 e While GetOperationCount(eID)>count q@~g.AMCB GetOperation eID, count, op 4WvW11q8U If op.Type="ShiftZ" Then T8a' 6otc DeleteOperation eID,count f~T7?D0u}N count=count-1 >9!J?HA End If r@3-vLI!u count=count+1 9 Gd6/2 Wend
I8? op.Type = "ShiftZ" T4]2R op.val1 = taq-0.01 O3@DU#N&s op.parent = parID "G
[Nb:,CR AddOperation eID, op ):'wxIVGI 4`Ud\Jm[s Print "Set pupil diameter = " & pupilDiam llP
V{ gZ4'
w`4r 'Update AZ Eye subassembly Description ).;{'8Q eID = FindFullName( "Geometry.Arizona Eye" ) <4;
nq~ GetEntity eID, entity iT
:3e% entity.Description = "Accommodation = " & A & "D" Ob/)f)!! SetEntity eID, entity BDI@h%tJb: uC;_?Bve Update BQ0?B*yqd Print "DONE!" ?9()ya-TE QCW4gIp End Sub 9s^$tgH $_"u2"p 如果屈光度是4,光瞳直径是4,则会输出如下数据: G`zNCx. M YF
^zheD Accommodation = 4 Diopters AB'+6QU9k Pupil Diameter = 4 mm M!J7Vj?Ps Set aqueous humor thickness = 2.81 aDdGhB Set anterior lens radius = 10.4 and conic constant = -2.375869 rJ Jx8)M Set posterior lens radius = -4.424557 and conic constant = -3.081019 _li3cXE Set lens thickness = 3.927 +r3)\L{U Set lens index of refraction = 1.42672 >BbX: Set pupil diameter = 4 Ei_~K'; DONE! -x+3nb|. #SHeK 4 [Kwj
7q` QQ:2987619807 G1z*e.+y
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