JPS6010419B2 - electronic lens - Google Patents
electronic lensInfo
- Publication number
- JPS6010419B2 JPS6010419B2 JP54089124A JP8912479A JPS6010419B2 JP S6010419 B2 JPS6010419 B2 JP S6010419B2 JP 54089124 A JP54089124 A JP 54089124A JP 8912479 A JP8912479 A JP 8912479A JP S6010419 B2 JPS6010419 B2 JP S6010419B2
- Authority
- JP
- Japan
- Prior art keywords
- gap
- magnetic field
- magnetic
- lens
- aberration
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired
Links
Classifications
-
- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01J—ELECTRIC DISCHARGE TUBES OR DISCHARGE LAMPS
- H01J37/00—Discharge tubes with provision for introducing objects or material to be exposed to the discharge, e.g. for the purpose of examination or processing thereof
- H01J37/02—Details
- H01J37/04—Arrangements of electrodes and associated parts for generating or controlling the discharge, e.g. electron-optical arrangement or ion-optical arrangement
- H01J37/10—Lenses
- H01J37/14—Lenses magnetic
- H01J37/141—Electromagnetic lenses
Landscapes
- Physics & Mathematics (AREA)
- Electromagnetism (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
Description
【発明の詳細な説明】
本発明は電子顕微鏡の投影レンズ等に使用して最適なS
字歪収差の少ない電子レンズに関する。DETAILED DESCRIPTION OF THE INVENTION The present invention provides an optimal S
This invention relates to an electronic lens with little font distortion aberration.
3つの磁極により2つの磁極間隙を形成し、両間隙内に
生ずる磁場の極性を互いに逆になした所謂3磁極レンズ
は、回転色収差を零にできるレンズとして提案され、そ
の後ある励磁条件では倍率色収差も零にし得るレズとし
て注目された。A so-called three-pole lens, in which two magnetic pole gaps are formed by three magnetic poles, and the polarities of the magnetic fields generated in both gaps are opposite to each other, has been proposed as a lens that can eliminate rotational chromatic aberration, and then, under certain excitation conditions, lateral chromatic aberration. She attracted attention as a lesbian who could reduce the amount of money to zero.
更に、歪嫁収差も零にできることが確認されている。本
発明者は先にこのな3磁極レンズ研究を重ね、S字歪収
差を通常の2磁極レンズに比べ箸じるしく小さくできる
レンズを開発したが、該レンズではS字歪収差を原理的
に零にはできなかった。而して、本発明は電子顕微鏡の
小型化に重要なS字歪収差零の電子レンズを提案するこ
とを目的とするものである。Furthermore, it has been confirmed that the distortion bride aberration can also be reduced to zero. The inventor of the present invention has previously conducted research on three-pole lenses, and has developed a lens that can significantly reduce S-shaped distortion aberration compared to ordinary two-pole lenses. I couldn't make it zero. Therefore, it is an object of the present invention to propose an electron lens with zero S-shaped distortion aberration, which is important for miniaturizing electron microscopes.
第1図は3磁極レンズの構造を示すもので、1はヨーク
で、第1磁極2、第2磁極3及び第3磁極4に磁気的に
接続している。FIG. 1 shows the structure of a three-magnetic pole lens, where 1 is a yoke, which is magnetically connected to a first magnetic pole 2, a second magnetic pole 3, and a third magnetic pole 4.
夫々の磁極は一定の間隔S保って対向しており、2つの
磁極間隙軸,鞄が形成されている。中間の磁極3の厚さ
はtであり、この中間磁極の中心に関し、上下対称の磁
極構造が作られる。5及び6は励磁コイルであり、磁極
間隙g,と鞄に逆極性(磁束の向きが逆)の磁場が得ら
れるように電流を供V給する。The respective magnetic poles face each other with a constant distance S between them, forming two magnetic pole gap axes and a bag. The thickness of the intermediate magnetic pole 3 is t, and a vertically symmetrical magnetic pole structure is created with respect to the center of this intermediate magnetic pole. 5 and 6 are excitation coils, which supply current V to the magnetic pole gap g and the bag so as to obtain a magnetic field of opposite polarity (the direction of magnetic flux is opposite).
第2図は斯る3磁極レンズを投影レンズとして使用し、
第1間隙封と第2間隙g2とに生ずる磁場の強度を等し
くした場合の焦点距離fp(側)、終像中直径100脚
の位置における歪像収差△r/r(%)、及びS字歪収
差△s/r(%)の計算値である。同図において横函蛤
Bu*一す(肌・T・KV‐す)はしンズの励磁パラメ
ータを示し、Sは前述の磁極間隙、Bは磁場強度のピー
ク値、u*は相対補正された加速電圧である又、S=5
肌,1=3風、磁極孔蓬d=3燭の条件の場合である。
曲線aは焦点距離であり、励磁強度が0.2弱の所で極
小値を示している。bの曲線は歪像収差を示し、低励磁
側では糸巻き歪となり、高励磁側では樽形となる。・こ
の歪像収差が零となる条件は焦点距離わが最小となる条
件と一致していることがわかる。cは曲線はS字歪収差
を示し、励磁強度の増加に従って急激に増大しており、
零を横切らない。所で、S字歪収差○spは磁界レンズ
物面及び像面が共に磁場の外にある場合には、DSp=
葦(点r)肘iB3Y2dt
Zo
十章(赤r仇参言BY2dZ
で表わされる。In Figure 2, such a three-pole lens is used as a projection lens,
Focal length fp (side) when the strength of the magnetic fields generated in the first gap seal and the second gap g2 are made equal, distorted image aberration △r/r (%) at a position of 100 feet in diameter during the final image, and S-shape This is a calculated value of distortion aberration Δs/r (%). In the same figure, the horizontal box clam Bu*ichisu (skin/T/KV-su) shows the excitation parameters of the shins, where S is the aforementioned magnetic pole gap, B is the peak value of the magnetic field strength, and u* is the relative correction value. The accelerating voltage is also S=5
This is a case of skin, 1 = 3 winds, and magnetic pole hole d = 3 candles.
Curve a is the focal length and shows a minimum value at a point where the excitation intensity is slightly less than 0.2. The curve b shows distortion and image aberration, which is pincushion distortion on the low excitation side and barrel-shaped on the high excitation side. - It can be seen that the conditions for this distortion and image aberration to be zero match the conditions for the focal length to be minimum. The curve c shows S-shaped distortion aberration, which increases rapidly as the excitation intensity increases.
Don't cross zero. By the way, the S-shaped distortion aberration ○sp becomes DSp=
Reed (point r) elbow iB3Y2dt Zo Chapter 10 (represented by red r adjudicial words BY2dZ).
ここでBは磁場の強さ、Yは養子線の軌道を表わす座標
、Y′はその勾配、Zoは物価の位置、Ziは嫁面の位
置である。この式はBの奇数次項によって表銭されてい
るので、極性が逆向きの2つの磁場領域が存在するレン
ズ、つまり、第1図に示す如き3極レンズにおては、第
1間隙&における磁場によって生ずるS字歪収差と第2
間隙鞍における磁場によて生ずるS字歪収差とが互いに
打消し合うことを意味している。しかし乍ら、実際には
S字歪収差は零にはならなず第2図の如く急激に増大す
るのである。Here, B is the strength of the magnetic field, Y is the coordinate representing the trajectory of the adoptive line, Y' is its gradient, Zo is the position of the price, and Zi is the position of the bride face. Since this equation is expressed by the odd-order term of B, in a lens in which there are two magnetic field regions with opposite polarities, that is, in a triode lens as shown in Fig. 1, in the first gap & The S-shaped distortion aberration caused by the magnetic field and the second
This means that the S-shaped distortion aberration caused by the magnetic field in the gap saddle cancels each other out. However, in reality, the S-shaped distortion aberration does not become zero, but increases rapidly as shown in FIG.
この点について、第3図を用いて定性的に説明する。同
図は、2つの磁極間隙内の磁場分布と、この磁場に高さ
1(Y=1)、勾配零(Y=0)で入射した電子線の軌
道をZ軸に沿って示したものである。磁場強度Bは第1
間隙と第2間隙で等しいので収差の発生はY及びY′が
第1間隙と第2間隙で相違することに起因する。先ず前
記式の第1項に関しては、第1間隙内の磁場の寄与が第
2間隙のそれに比し、圧倒的に高いことが同図よりわか
る。第2項に関しては、図からはわかりにくいが、Y′
は電子線が光軸を横切るとき最大となるので、第2間隙
内の磁場の寄与の方が大きくなる。第3図示した軌道に
おける本発明者の一計算例ではDspは第1項が696
2となり、第2項が−1621であった。両者で回転方
向が異なり大きさ‘ま第1項(正回転)の方がはるかに
大きく、結果としては、大きなDspが存在するこにな
る。以上の考察より、第1間隙の磁場により寄与に対し
、第2間隙の磁場による寄与の方を著じるしく大きくす
れば、前記式の第1項と第2項の大きさを略等しく(極
性は逆)でき、S字歪収差係数Dspを琴又は略零にし
得ることがわかった。而して本発明者は斯る原理に従い
、種々実験を行った結果、第2間隙内の磁場強度(ピー
ク値)を第1間隙内の磁場強度より高くすることにより
S字歪収差を零にし得ることを確認した。第4図は第1
磁極間隙9における磁場強度のピーク値Bに対する第2
磁極間隙g2における磁場強度のピーク値&の比(&/
B,)をパラメータとして焦点距離の変化を示したもの
である。This point will be qualitatively explained using FIG. 3. This figure shows the magnetic field distribution in the gap between two magnetic poles and the trajectory of an electron beam incident on this magnetic field at a height of 1 (Y = 1) and a gradient of 0 (Y = 0) along the Z-axis. be. The magnetic field strength B is the first
Since the gap and the second gap are equal, the occurrence of aberration is due to the fact that Y and Y' are different between the first gap and the second gap. First, regarding the first term of the above equation, it can be seen from the figure that the contribution of the magnetic field in the first gap is overwhelmingly higher than that in the second gap. Regarding the second term, although it is difficult to understand from the figure, Y′
is maximum when the electron beam crosses the optical axis, so the contribution of the magnetic field in the second gap becomes larger. In one example of calculation by the inventor for the trajectory shown in Figure 3, Dsp is 696 for the first term.
2, and the second term was -1621. The directions of rotation are different between the two, and the first term (positive rotation) is much larger, and as a result, a large Dsp exists. From the above considerations, if the contribution of the magnetic field of the second gap is made significantly larger than the contribution of the magnetic field of the first gap, the magnitudes of the first and second terms in the above equation can be made approximately equal ( It was found that the S-shaped distortion aberration coefficient Dsp could be made koto or almost zero. Based on this principle, the inventor conducted various experiments and found that the S-shaped distortion can be reduced to zero by making the magnetic field strength (peak value) in the second gap higher than the magnetic field strength in the first gap. I confirmed that I would get it. Figure 4 is the first
The second value for the peak value B of the magnetic field strength in the magnetic pole gap 9
The ratio of the peak value & of the magnetic field strength at the magnetic pole gap g2 (&/
B, ) is used as a parameter to show the change in focal length.
図中機軸は第1磁極間隙内の磁場の励磁強度を示してあ
る。この図から&/B,を大きくするにつれて、焦点距
離ナpの最小値が小さくなり、且つ低励磁側に移行して
いる。勿論、この(ナp)minの移行に伴って歪像収
差△r/r零の条件も低励磁側に移行する。第5図は、
第4図に対応してS字歪収差△S/rの変化を示したも
のである。The machine axis in the figure indicates the excitation intensity of the magnetic field within the first magnetic pole gap. From this figure, as &/B increases, the minimum value of the focal length nap decreases and shifts to the low excitation side. Of course, along with this shift in (nap)min, the condition for zero distortion image aberration Δr/r also shifts to the low excitation side. Figure 5 shows
This figure shows changes in the S-shaped distortion aberration ΔS/r corresponding to FIG. 4.
図から明瞭な如く、B2/B,が1より大きくなると、
各曲線は零を横切り、低励磁側において符号を反転して
いる。即ち、B2/B,>1となせば、必ずS字歪収差
が零になる条件の存在することがわかる。しかし乍ら、
レンズ設計に当っては他の収差も考慮に入れなければな
らないので、利用できる領域は自ずと制約される。前述
した如く、歪像収差はナpが最小となる励磁条件におい
て零となり、又この条件は倍率色収差にとっても有利で
ある。従って、この(fp)minの励磁条件において
、S字歪収差が零又は略零になり極めて好ましいわけで
ある。第6図は第4図及び第5図をもとに(ナp)mi
nと△S/r=0の夫々がいかなる励磁条件において現
われるかを求めて表示したもので、縦麹は第1間隙内磁
場の励磁強度、機軸はB2/Bを示している。As is clear from the figure, when B2/B, becomes larger than 1,
Each curve crosses zero and reverses sign on the low excitation side. That is, it can be seen that there exists a condition in which the S-shaped distortion aberration becomes zero if B2/B>1. However,
Since other aberrations must also be taken into account when designing the lens, the usable area is naturally limited. As mentioned above, the distortion image aberration becomes zero under the excitation condition where the nap is minimized, and this condition is also advantageous for the chromatic aberration of magnification. Therefore, under this excitation condition of (fp) min, the S-shaped distortion becomes zero or approximately zero, which is extremely preferable. Figure 6 is based on Figures 4 and 5.
This figure shows the excitation conditions under which each of n and ΔS/r=0 appears, and the vertical koji indicates the excitation intensity of the magnetic field in the first gap, and the axis indicates B2/B.
この図において、(ナp)minの曲線と△S/r=0
の曲線が交叉した点が最も好ましい条件である。そして
この交点はB/B,=1.9〆 第1間隙の励磁強度S
Bu*‐す=1.55肌・TKv‐すである。上記条件
B2/B=1.58は最も好ましい場合であり、実際に
はその前後が使用でき、1.4〜1.8が実用的な範囲
であることを確認した。この範囲を越えると、第4図、
第5図において、B2/B=2.0の曲線からわかるよ
うに、△S/r=0の励磁強度では、焦点距離ナpが非
常長くなり(約11側)又、(メp)minの位置より
大きくずれるため、歪像収差等が大きくなり、実用に供
されなくなる。又、&/B,が1.4以下においても同
様で、第4図、第5図の&/B=1.25の曲線の対比
からわかるように△S/r=0のとき、fpは11肋以
上となる。以上詳述した如く、本発明は3磁極レンズに
おいて、第1間隙内磁場強度のピーク値Bに対する第2
間隙内磁場強度ピーク値B2の比B2/Bを1より大き
く、特に1.4〜1.8(1.58の近傍)内設定する
ことにより、歪嫁収差や倍率色収差を大きくすることな
く、又篤′点距離を犠牲にすることなくS字歪収差を零
にすることができ、従って電子顕微鏡の投影レンズに使
用した場合、該レンズとカメラとの間隔を箸じるしく短
かくでき、特に高加速電子顕微鏡の小型化に有効である
。In this figure, the curve of (nap)min and △S/r=0
The most preferable condition is the point where the curves intersect. And this intersection is B/B, = 1.9〆 Excitation intensity S of the first gap
Bu*-su=1.55 skin/TKv-su. The above condition B2/B=1.58 is the most preferable case, and it was confirmed that values around this can be used, and that 1.4 to 1.8 is a practical range. Beyond this range, Figure 4,
As can be seen from the curve of B2/B=2.0 in FIG. 5, with the excitation intensity of ΔS/r=0, the focal length nap becomes very long (approximately 11 side) and (mep)min Since the position deviates greatly from the position of , distortion and image aberration etc. become large, making it impractical. The same holds true when &/B, is 1.4 or less; as can be seen from the comparison of the curves for &/B=1.25 in Figures 4 and 5, when △S/r=0, fp is More than 11 ribs. As described in detail above, the present invention provides a three-pole lens with a second
By setting the ratio B2/B of the peak value B2 of magnetic field strength in the gap to be larger than 1, especially within 1.4 to 1.8 (near 1.58), distortion aberrations and lateral chromatic aberrations can be prevented from increasing. In addition, S-shaped distortion can be reduced to zero without sacrificing the focal length, so when used as a projection lens for an electron microscope, the distance between the lens and the camera can be significantly shortened. It is particularly effective for miniaturizing high-acceleration electron microscopes.
第1図は3磁極レンズの構造を示す図、第2図は従来レ
ンズの特性を示す図、第3図は本発明の原理を導くため
の図、第4図乃至第6図は本発明を説明するグラフであ
る。
1:ヨーク、2,3及び4:磁極、5及び6:励磁コル
oオー図
汁z図
れ図
ガ3図
次4図
オふ図Figure 1 is a diagram showing the structure of a three-pole lens, Figure 2 is a diagram showing the characteristics of a conventional lens, Figure 3 is a diagram to explain the principle of the present invention, and Figures 4 to 6 are diagrams showing the principle of the present invention. This is a graph to explain. 1: Yoke, 2, 3 and 4: Magnetic poles, 5 and 6: Excitation cord
Claims (1)
生ずる磁場の極性を逆になし3磁極レンズであって、第
1の磁極間隙(電子入射側)の磁場ピーク強度をB_1
、第2の磁極間隙(電子出射側)の磁場ピーク強度をB
_2とする時、B_2/B_1が1.4乃至1.8の範
囲になるように両磁極間隙の磁場強度を設定したことを
特徴とする電子レンズ。1 A three-pole lens in which two gaps are formed by three magnetic poles and the polarity of the magnetic field generated in both gaps is reversed, and the peak strength of the magnetic field in the first magnetic pole gap (electron incidence side) is B_1
, the magnetic field peak strength of the second magnetic pole gap (electron emission side) is B
An electron lens characterized in that the magnetic field strength of the gap between the two magnetic poles is set so that when B_2/B_1 is in the range of 1.4 to 1.8.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP54089124A JPS6010419B2 (en) | 1979-07-13 | 1979-07-13 | electronic lens |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP54089124A JPS6010419B2 (en) | 1979-07-13 | 1979-07-13 | electronic lens |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JPS5613648A JPS5613648A (en) | 1981-02-10 |
| JPS6010419B2 true JPS6010419B2 (en) | 1985-03-16 |
Family
ID=13962129
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP54089124A Expired JPS6010419B2 (en) | 1979-07-13 | 1979-07-13 | electronic lens |
Country Status (1)
| Country | Link |
|---|---|
| JP (1) | JPS6010419B2 (en) |
Families Citing this family (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US4585942A (en) * | 1983-03-17 | 1986-04-29 | Jeol Ltd. | Transmission electron microscope |
-
1979
- 1979-07-13 JP JP54089124A patent/JPS6010419B2/en not_active Expired
Also Published As
| Publication number | Publication date |
|---|---|
| JPS5613648A (en) | 1981-02-10 |
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