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简介 3leg,qd nL^6{I~ 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。 SiojOH pvy;L[c 模型 M;zRf3S R2Tvo?xI7 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。 3D\.Sj% ~2@U85"o Table 1. AZ眼睛模型的定义 <Q\`2{ 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. lGG1d #CV(F$\1{ 光源 "+nURdicO dG7sY
O@U 多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 4)2*|w %9mB4Fc6b) 0x^$q?
\A 图1. 光源和提示信息使用 d;lp^K
M 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。 &%u,b~cL? c}Z,xop<P{ 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。 +6<MK; pI(FUoP^ 图2. 字母F光源的设定方法光 [$[t.m 2l5@gDk5 图3. 字母F在视网膜上位置点列图 0 {{7 " 视网膜的散射 +*0THol- f+xGf6V 在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 @T/C<- /:
u.hnQsM 8GlH)J+kq 图4. 视网膜朗伯散射设定 I]SR.Yp% 注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 xDADJ>u2K ]v_xEH}T 0SKt8pL` 图5. 视网膜重点采样规格设定 R<UjhCvx. 脚本 [&3"kb w5|@vB/pj 内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: sef!hS06 1}ZBj%z4l 图6. 用户对话框的创建与编辑 6w1:3~a 图7. 用户对话框编辑器 dJ24J+9}]j 如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 _IlL'c5 余下的脚本计算与屈光度有关的所有参数。 LiV]!*9$KG fI$,?> 分析 `SW`d<+L Ds}6{']K 屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 =?*V3e3{ q6_1`Ew 图7. 字母F在视网膜上颜色分析 J.?p?-" 脚本代码 :cynZab Be]o2N;J Option Explicit 'Remove this to enable non-dimensioned variables to be used. r1?LKoJOn .{ x5(bi0S Dim entity As T_ENTITY 7H>dv' Dim op As T_OPERATION pu>LC6m3a Dim mat As T_MODELMATERIAL 0e7v ?UT Dim A As Double sJM}p5V Dim pupilDiam As Double T@vVff Dim eID As Long JK_$A;Q Dim parID As Long g:,4Kd| Dim count As Integer ]iNSa{G Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double R>0ta
Q Dim tlens As Double, nlens As Double +M.|D,wg2 Dim curv As Double, conic As Double dO8Z {wfs Dim ok As Long X*Q7Yu 'Gt`3qG Sub Main u8,T>VNVw 9n%W-R. '用户输入对话框 }oU&J81 Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 n&V(c&C TextBox 220,21,40,21,.TextBox1 'default: 0 \@F{Q- Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 rvfl~<G* OKButton 40,91,90,21 fsmH];"GD CancelButton 190,91,90,21 jyT(LDsS Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 1)Ag|4 TextBox 220,49,40,21,.TextBox2 'default: 4 LnyA 5T End Dialog ,`Mlo Dim dlg As UserDialog )eG&"3kFe! d8r+UP@# ok = Dialog (dlg) ypifXO;m7 ^IId
=V=2 If ok=0 Then 'cancel button was pressed D@ lJ^+ Print "Execution cancelled." G?V3lQI1n End .ev]tu2N End If d)AkA\neWo Pb`sn5; 'Assign accommodation and pupil diameter & use defaults if field left empty "bO] If dlg.TextBox1 = "" Then 50Jr(OeU< A = 0 'Default accommodation o._^ Else g!QumRF A = CDbl(dlg.TextBox1) He@= bLLa End If a3)#tt=rA x$p\ocA If dlg.TextBox2 = "" Then l00D|W_9 pupilDiam = 4 'Default pupil diameter L7b{H2 2 Else xSUR< pupilDiam = CDbl(dlg.TextBox2) />oU}m"k End If Af%?WZlOq eyG.XAP Print " " [/kO> Print "Accommodation = " & A & " Diopters" V:+bq` Print "Pupil Diameter = " & pupilDiam & " mm" S`^W#,rj #}Cwn$ ' Calculate new parameters with accommodation f_\-y&)+* taq = 0.55 + 2.97 - 0.04*A 'Aqueous thickness )}aF=% -,tYfQ;: Rant = 12.0 - 0.4*A 'Radius of anterior lens :tgTYIF CCant = -7.518749 + 1.285720*A 'Conic constant of anterior lens s [!SG`& 2n=;"33%a Rpost = -5.224557 + 0.2*A 'Radius of posterior lens 93dotuF CCpost = -1.353971 - 0.431762*A 'Conic constant of posterior lens -jy"?]ve. ,ym;2hJ tlens = 3.767 + 0.04*A 'Lens thickness M}<=~/k`j |{nI.> nlens = 1.42 + 0.00256*A - 0.00022*A^2 'Lens index of refraction -a[{cu{ O
o:jP6r 'Adjust parameters to account for accommodation *l^'v9
*LVM}| f '************************************************************************* 3{z|301<m 'Aqueous thickness (Position of Lens) ?uN(" I '************************************************************************* ..:V3]-D eID = FindFullName( "Geometry.Arizona Eye.Lens" ) i<?4iwX%i* GetCustomElement eID, entity 9|`@czw yM2&cMHH~ parID = FindFullName( "Geometry.Arizona Eye" ) gK( 4<PO' dNobvK ' Delete any shift(s) in z iQF}x&a< count = 0 8iN As#s While GetOperationCount(eID)>count bM-Rj1#Lo GetOperation eID, count, op /z5lxS@# If op.Type="ShiftZ" Then abnd U,s DeleteOperation eID,count !;gke,fB count=count-1 *PEuaRDN End If Q(6(Scp{ count=count+1 t["Df;"O Wend j1<1D@UO m=}X$QF`^ 'Set new shift in \sd"iMEi op.Type = "ShiftZ" q@9i3*q; op.val1 = taq `[CJtd2\ op.parent = parID p#d UL9 AddOperation eID, op <T[N.mB Print "Set aqueous humor thickness = " & taq-0.55 JWL J<z Z L</ '************************************************************************* @45 H8|:k 'Radius and conic constant of anterior lens ea0tx3' '************************************************************************* njMy&$6a## eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) H\mVK!](D GetConic eID, entity, curv, conic D8Rmxq! LDeVNVM SetConic eID, entity, 1/Rant, CCant E+zn\v Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant :$aW@?zAY L@r.R_*H?s '************************************************************************* |sa7Y_ 'Radius and conic constant of posterior lens HW726K* '************************************************************************* PEEY;x eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) AFTed?( GetConic eID, entity, curv, conic >` QX
xTn o(/ia3 SetConic eID, entity, 1/Rpost, CCpost PAV2w_X~ Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost r5!M;hU1j acY[?L_6J '************************************************************************* B5HdC%8/} 'Lens thickness (Position of posterior lens surface) !h>$bm '************************************************************************* 8$U ZL ]a#]3(o]} parID = FindFullName( "Geometry.Arizona Eye.Lens" ) tcEf
~|3 hX%v`8 ' Delete any z-shift(s) ddDJXk)!0 count = 0 Az9J{) While GetOperationCount(eID)>count ;}~Bv<# GetOperation eID, count, op OIty
]c If op.Type="ShiftZ" Then 8'"/gC{ DeleteOperation eID,count sFCs_u1tNN count=count-1 xKST-:c + End If Uv`v|S:+2 count=count+1 {mnSTL` Wend ysJhP . X]MM7hMuR 'Set new z-shift }|"*"kxi! op.Type = "ShiftZ" rqe_zyc& op.val1 = tlens G>S1Ld'MV op.parent = parID |uwteG5?$s AddOperation eID, op n3g
WMC Print "Set lens thickness = " & tlens N vHy' >m6,xxTR '************************************************************************* {C0^D*U: 'Lens index of refraction u|>U`[Zpj '************************************************************************* ;
9&.QR( eID = FindMaterial( "Lens" ) -sH.yAvC6 GetModelMaterial eID, mat 0*IY%=i FJ,\?ooGf mat.Nd = nlens ?Wz(f {Hm SetModelMaterial eID, mat H&=4y) /. Print "Set lens index of refraction = " & nlens `pAp[]SfQd 1\J1yOL '************************************************************************* us,,W(q 'Pupil diameter %%,hR'+| '************************************************************************* p F*~)e eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) \v
P2B $17
v, 'Adjust pupil diameter (trimming volume inner hole)
!QW 0 X.AWs=:- SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" }%ZG>LG5J b:5%} ' Adjust pupil location to just in front of the lens <_{4-Q>S3# parID = FindFullName( "Geometry.Arizona Eye" ) JvWs/AG1 eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) *ez~~ Y count = 0 M3;v3
}z<- While GetOperationCount(eID)>count l)rvh#D GetOperation eID, count, op q,,>:]f# If op.Type="ShiftZ" Then - Zoo) DeleteOperation eID,count Hs`#{W{. count=count-1 ))69a End If nh&J3b}B! count=count+1 K-Dk2(x Wend CbH T # op.Type = "ShiftZ" %=mwOoMk0L op.val1 = taq-0.01 MV;Y?%> op.parent = parID -G<2R"Q#N AddOperation eID, op sHPwW5j/o' cM<hG:4%wX Print "Set pupil diameter = " & pupilDiam voej ~z+ }!yD^:[5 'Update AZ Eye subassembly Description ;GgQ@s@ eID = FindFullName( "Geometry.Arizona Eye" ) Yx}"> ;\ GetEntity eID, entity #nf%ojh entity.Description = "Accommodation = " & A & "D" mA] 84zO SetEntity eID, entity >gZk
581/ HHIUl,P Update o
+QzQ+ Z Print "DONE!" 3VRZM@i $6&GAJe End Sub Ibv_D$cT E_![`9i 如果屈光度是4,光瞳直径是4,则会输出如下数据: C`th^dqBV K'{W9~9Lq Accommodation = 4 Diopters b6WC@j`*T Pupil Diameter = 4 mm 2c>H(t h= Set aqueous humor thickness = 2.81 "U5Ln2X{J Set anterior lens radius = 10.4 and conic constant = -2.375869 0q>NE<L Set posterior lens radius = -4.424557 and conic constant = -3.081019 .t^UK#@#4 Set lens thickness = 3.927 v1X&p\[d Set lens index of refraction = 1.42672 Xx y
Bg!R Set pupil diameter = 4 fdq^!MWTi DONE! hDD~,/yVxs
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