JPH0882915A - Photomask pattern design method and design system - Google Patents

Abstract

(57) [Summary] [Object] The present invention provides a pattern designing method for automatically correcting a pattern shape or adding a new pattern in order to obtain a projected image light intensity distribution of a desired shape using a photomask. And to provide a design system. A projection image calculation step 2 for obtaining a projection image light intensity distribution of a pattern input as an initial value, a step 4 for comparing a projection image with a desired shape, and a step for adding a pattern to a portion where an unnecessary projection image is formed. 5 is provided to optimize the mask pattern.

Description

Detailed Description of the Invention

[0001]

BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to an optical lithography technique for manufacturing a semiconductor integrated circuit, a liquid crystal panel or the like by transferring a fine pattern onto a substrate to be exposed, and particularly to the transmittance and phase of light used for exposure. TECHNICAL FIELD The present invention relates to a mask pattern design method and a design system in which and are controlled.

[0002]

2. Description of the Related Art A method called a lithography technique for transferring a pattern drawn on a mask onto a substrate to be exposed is widely used for pattern formation of semiconductor integrated circuits, liquid crystal panels and the like. To perform this pattern transfer, a reduction projection type projection exposure apparatus that reduces and transfers the pattern on the mask is generally used.

With the recent miniaturization of patterns, the projection exposure apparatus is required to have higher resolution than before. Generally, the larger the numerical aperture (NA) of the projection lens or the shorter the wavelength of light used for exposure, the higher the resolution.
However, the method of increasing the NA causes a decrease in the depth of focus during pattern transfer, and shortening the wavelength of light has various restrictions in terms of a light source, an optical system material, or a resist material.

Therefore, an attempt has been made to transfer a fine pattern exceeding the conventional resolution limit using the current projection exposure apparatus. Japanese Examined Patent Publication No. 62-50811 discloses that
It has been shown that a transparent member (phase shifter) for reversing the phase of light is provided in a specific light transmitting portion on the mask to significantly improve the resolution especially for a pattern having periodicity. Also, the technology for automatically arranging the phase shifter is
Reported at the VLSI Symposium (1991), in Digest of Technical papers pp.95-96,
Automatic Pattern Generation System For Phase Shifting Mask (Automati
c Pattern Generation System For Phase Shifting Mas
k). A similar technique is the Digest of Papers Microprocess '93.
Pages 50-51 (Digest of Papers MicroProcess '93
pp.50-51), Algorithm for Phase Shift Mask Design with Priority on Shifter Placement (Algorithm for Phase)
Shift Mask Design with Priority on Shifter Placem
ent) and the A CAD System for Designing Phase Shifting Masks (A CAD System for Des) on pages 52-53.
igning Phase-Shifting Masks). In addition, the method of inputting a desired projected image shape to determine the mask pattern is
Transaction on Semiconductor Manufacturing 5 (2) (1992) 138-152
Page (IEEE Transaction on Semiconductor Manufacturin
g, Vol.5, No.2 (1992), pp.138-152) Binary and phase shifting mask design for optical lithography (Binary and
Phase Shifting Mask Design for Optical Lithograph
y)).

On the other hand, US Pat. No. 4,360,586 discloses mask technology for controlling the intensity and phase of X-rays or light transmitted through the mask.

[0006]

[Problems to be solved by the invention] Japanese Patent Publication No. 62-5081
When the mask disclosed in Japanese Patent No. 1 is used, pattern formation exceeding the conventional resolution limit can be easily realized especially for a fine pattern having periodicity. However, a method for efficiently arranging the phase shifter has not been shown for a general pattern having a small periodicity, and therefore its effect cannot be brought out. Digest of Technical Papers 95-96
Papers pp.95-96) Automatic pattern generation system forephase
Shifting mask (Automatic Pattern Generatio
The method described in the paper entitled “System For Phase Shifting Mask” has the function of automatically arranging the phase shifter in the light transmitting part on the mask, but the pattern arrangement becomes complicated and conflicts with the phase shifter arrangement. No measures are taken in case of occurrence.

On the other hand, the mask technology disclosed in US Pat. No. 4,360,586 controls the phase by slightly transmitting light to a region that should originally be shielded from light, and is a halftone phase mask or an Attenuate mask. be called. The effect of improving the resolution is the above-mentioned Japanese Patent Publication No. 62-5081.
Although slightly inferior to the mask disclosed in Japanese Patent No. 1 Publication, there is an advantage that it is not necessary to dispose a new shifter. Therefore, it is said to be extremely effective for a pattern having a complicated shape. However, no reference is made to the correction or change of the mask pattern size necessary for obtaining the desired transfer pattern size.

Digest of Papers Micro Process '93, pp. 50-51 (Digest of Papers M
icroProcess '93 pp.50-51) Algorithm forephase shift mask design with priority on shifter placement (Algori
thm for Phase Shift Mask Design with Priorityon Sh
ifter Placement) and Id. 52-5
ACAD system on page 3 Fore designing Phase shifting masks (A CAD Syst
In order to bring out the performance of the mask disclosed in Japanese Patent Publication No. 62-50811, a technique described in a paper entitled em for Designing Phase-Shifting Masks) is used.
This is a technology that automatically arranges the phase shifter. Although the ingenuity of the shifter arrangement is reduced as much as possible, there is no suggestion about the pattern design of the halftone phase mask which does not require a new shifter arrangement.

IE, Transaction ON Semiconductor Manufacturing 5 (2) (1992) pp. 138-152 (IEEE Trans
action on Semiconductor Manufacturing, Vol.5, No.2
(1992), pp.138-152) Binary and Phase Shifting Mask Design For Optical Lithography (Binary and Phase Shifting
The mask technology described in a paper entitled Mask Design for Optical Lithography defines the phase and transmittance of transmitted light by dividing the mask pattern surface into extremely small areas. Therefore, there is a problem in practical use that the definition of the pattern becomes extremely complicated and it is difficult to optimize in a wide area.

As described above, the halftone phase mask is excellent in terms of relaxing the shape constraint, but the optimization of the pattern shape has not been studied. Especially, since there is a slight amount of transmitted light in the area that should be originally shielded,
The transmitted light is emphasized by an interference effect when the patterns are close to each other. As a result, there is a problem that a projected image having a light intensity level that cannot be ignored is formed even in a portion where no pattern originally exists.

An object of the present invention is to provide a pattern design method and system capable of reducing the influence of the unnecessary projected image by adding a new pattern to the halftone phase mask.

[0012]

Means for Solving the Problems The above-mentioned problems are solved by a means for calculating a projected image obtained by a pattern of a halftone phase mask given as an initial value or a partially modified pattern, and a calculation result of a desired pattern shape. This is achieved by providing a comparison means for comparing with and a pattern generation means for applying a new pattern to a region where a difference larger than a predetermined amount has occurred between them.

Further, a means for generating the contour line of the enlarged pattern by moving each side of the pattern given as the initial value by a predetermined distance L determined by the projection optical condition, and a plurality of contour lines within a predetermined distance or less. This is achieved by providing means for extracting a portion approaching or intersecting and pattern generating means for giving a new pattern to the extracted portion.

[0014]

FIG. 9 shows an example of the structure of a halftone phase shift mask given as an initial value and the outline of an optical image obtained from the structure. The halftone phase shift mask is composed of an optically transparent substrate 42 and a halftone member 43, and is composed of a pseudo light shielding portion 40 that slightly allows light and an opening pattern 41. The light transmitted through the opening 41 and the pseudo light-shielding portion 40 has different signs, that is, their phases are inverted from each other, as indicated by the amplitude distribution 44. An amplitude distribution obtained on the substrate to be exposed via the projection optical system is obtained as a curve 45, and a light intensity distribution 47 is obtained by taking the square of the absolute value. The means for calculating the projected image is to finally obtain the light intensity distribution 47 when the aperture pattern 41 and the exposure optical condition are input. Here, a negative amplitude peak 46 is generated near the pattern edge, and this appears as a side lobe 48 of the projected image. In particular, when two or more aperture patterns come close to each other, side lobes corresponding to the respective patterns are emphasized, and an unnecessary projection image is obtained at a distance of approximately L1 from the pattern edge. The generation position of this unnecessary projection image can be easily known by calculating the projection image light intensity distribution of the mask pattern and comparing the image shape predicted from it with the input pattern shape. Here, the side lobes generated in the vicinity of the pattern edge are due to the light amplitude having a sign different from that of the light in the opening pattern portion as described above. Therefore, as shown in FIG. 10, when a new correction pattern 51 is added by the pattern generating means at a distance of approximately L1 from the edge of the pattern 50, the negative amplitude peak portion of the amplitude distribution 52 and the amplitude distribution of the correction pattern are obtained. It is possible to prevent the occurrence of side lobes by overlapping with 53. Here, it is preferable that the correction pattern 51 has a size such that it is not transferred by itself, so that the width thereof is about 0.05.
It may be set between λ / NA and 0.4λ / NA. Here, λ is the wavelength of the exposure light, and NA is the numerical aperture of the projection lens for exposure.

On the other hand, the position where the side lobe is generated can be predicted from the optical condition, and the distance L1 shown in FIG. 9 is about 0.55λ / NA. However, since it changes depending on the focus position, the range that L1 can take is 0.
It is about 4λ / NA <L1 <1.1λ / NA. Therefore, if the contour line generating unit obtains a contour line separated from each side of the input pattern by a distance L1 and finds a portion where the contour line approaches or intersects, the side lobe is emphasized. . By arranging the correction pattern in that portion, a desired projected image can be obtained.

FIG. 11 is a diagram showing a halftone phase mask having a periodic pattern 54. On the substrate to be exposed, a good light intensity distribution 55 is obtained at the center of the periodic pattern, but a negative peak 56 is obtained at the end.
Therefore, by arranging a similar correction pattern outside the end pattern of the dense pattern group, a projected image of a desired shape can be obtained.

[0017]

EXAMPLES Examples of the present invention will be described below.

(Embodiment 1) FIG. 1 is a flowchart showing a photomask pattern designing method of the present invention.
First, in the input data reading step 1, the initial value of the pattern of the halftone phase shift mask and the parameters of the projection optical system for transferring the mask pattern onto the substrate to be exposed are read. Here, the parameters of the projection optical system are the numerical aperture NA of the projection lens, the wavelength λ of the light used for transfer, and the parameter σ representing the degree of coherence.

Next, in the projected image light intensity distribution calculation step 2, the projected image obtained by the mask pattern is calculated. The projected image and the mask pattern are displayed in the display step 3.
The display area can be selected either whole or specified. At the same time, in the comparison step 4, the mask pattern and the calculated projected image shape are compared. Here, the shape of the projected image is, for example, a contour obtained by slicing the light intensity distribution at a predetermined intensity level. As a result of the comparison, if the difference between the two is less than the allowable value, the design is finished,
When the difference is large, that is, when the unnecessary pattern is formed by enhancing the side lobes, the pattern generating step 5
The correction pattern is added with. Here, the size of the correction pattern is 0.25λ / NA. The projected image is calculated again and compared with the input mask pattern. The correction pattern arrangement and the projection image calculation may be repeated several times so that the difference between the two becomes small. However, in order to prevent this repeated loop from becoming an infinite loop, a predetermined number of times of termination is input in advance.

FIG. 2 shows an example of an input pattern of the halftone phase shift mask, in which opening patterns 11, 12, 13, 14 are arranged in the halftone portion 10. This mask has λ = 0.365 μm, NA = 0.5, σ =
The image obtained when transferred with a projection exposure apparatus of 0.3
It was predicted by the projection image calculation unit 2. The result is as shown in FIG. 3, and emphasized side lobes occurred. Therefore, as shown in FIG.
A correction pattern corresponding to 15 μm was automatically generated. As a result, the projected image was as shown in FIG. 5, and a good pattern was obtained. The obtained mask pattern was stored as pattern data in the storing step 6.

FIG. 17 shows a photomask pattern design system for realizing the above design method. The pattern initial value stored in the file 121 is read by the input data reading means 122 and stored in the file 128. The projection image light intensity calculation means 123 calculates a projection image predicted from the input data, and stores the result in the file 129. The comparing means 125 uses the files 128 and 129.
Compare the data stored in. At the same time, both are displayed simultaneously or sequentially on the display means 124. If the difference between the two is large, the above-mentioned correction pattern is generated by the pattern generation means 126, added to the initial value pattern, and stored again in the file 128. When the difference between the data stored in the files 128 and 129 is within the allowable value, the storage unit 127 outputs the data stored in the file 128 to the file 130 as the finally obtained photomask pattern data.

The operability of the system can be improved by displaying the input pattern, the pattern group including the newly generated pattern, or the projection image calculation result simultaneously or sequentially.

According to this embodiment, the position of the correction pattern can be accurately obtained even if the pattern arrangement and shape are complicated.

(Embodiment 2) FIG. 6 is a diagram showing a flow chart of a mask pattern designing method according to a second embodiment of the present invention. First, in the input data reading step 1,
The initial value of the pattern of the halftone phase shift mask and the parameters of the projection optical system that transfers the mask pattern onto the substrate to be exposed are read. Here, the parameters of the projection optical system are, similarly to the first embodiment, the numerical aperture NA of the projection lens, the wavelength λ of the light used for transfer, and the parameter σ representing the degree of coherence.

Next, in the contour line generation step 20, each side is moved outward by a distance L so that the input opening pattern is enlarged, and a contour line of a new figure is generated. In the example shown in FIG. 7, each side of the input pattern 24 is indicated by an arrow 2
The contour line 25 of the figure obtained by moving in the directions indicated by 6, 27, 28 and 29 by the distance L is defined. As a result of performing the above processing on the input pattern shown in FIG. 2, the contour lines 30, 31, 32, 33 shown in FIG. 8 could be formed.

After the enlarged figure of the pattern is generated, in a calculation step 21 shown in FIG. 6, a portion where the contour lines approach or intersect each other is obtained. At that portion, a pattern generating step 22
Generate a correction pattern with. The result was output to a predetermined file in the pattern data storing step 23. In the example shown in FIG. 8, correction patterns 35-1, 35-2, and 36 are added. Further, it can be seen from FIG. 11 that side lobes are also generated outside the dense pattern, so the correction patterns 34 and 35 were manually inserted. In each case,
The pattern size is set to be the same as that of the first embodiment. As a result, good results similar to those shown in FIG. 5 were obtained. The patterns 34 and 35 provided by the manual operation are not always necessary, and even if the pattern size of the end portion is set to be slightly large, a result having practically no problem was obtained. The correction pattern 36 and the like shown in FIG. 8 are patterns that are long in one direction. In such a case, as shown in FIG. 14, the correction pattern 69
The same correction effect was obtained by dividing the pattern into patterns 70, 71, 72, etc., and arranging the patterns 70, 71, 72, etc. side by side with the interval therebetween being about the width of the correction pattern.

FIG. 18 is a diagram showing a photomask pattern design system for realizing the design method of the second embodiment. File 12 in which initial pattern values are stored
1, the input data reading means 122, and the output file 130 are the same as those in the system shown in FIG. The contour line generation unit 131 is a unit that realizes the step 20 shown in FIG. 6, and outputs the generated contour line to the file 135. The calculation means 132 is a means for obtaining a region where the contour lines approach or intersect, and realizes step 21 shown in FIG. The means for realizing the step 22 of generating the correction pattern is the pattern generation means 133, and the photomask pattern including the correction pattern is output to the file 130 by the pattern data storage means 134.

In order to improve the performance of the correction pattern arrangement,
I also tried the following process. First, the adjacent positional relationship of the input pattern is calculated prior to the generation of the contour line of the enlarged figure of the pattern. When the pattern or the side of the pattern in which the adjacent pattern does not exist within the distance L ′ (for example, 1.2λ / NA) is extracted and the figure has a dimension close to the resolution limit, the width is increased by a predetermined amount. . The dimension is not changed for the pattern having the adjacent pattern. For example, as shown in FIG. 15, when the pattern 82 has a width close to the resolution limit, the dimension is increased by a predetermined amount to define the figure 83. Similarly, with respect to the pattern 80, the fine width portion is widened to define the graphic 81. Next, contour lines 25 as shown in FIG. 7 are obtained for all input patterns. In the example shown in FIG. 15, contour lines 84 and 85 are obtained. Finally, the pattern generation unit 22 generates a correction pattern at the portion where the contour lines approach or intersect each other. Furthermore, for the contour line of the pattern obtained by increasing the size of the input pattern by a predetermined amount, the distance L ′
A correction pattern was generated for an area within which no adjacent pattern existed. Further, when the figure of the input pattern is long in the position direction and has a fine width, the contour line corresponding to the pattern apex portion is ignored and excluded from the candidates for arranging the correction pattern. Similarly, when the size of the input pattern is large in whole or in part and the corresponding contour line does not intersect or approach other contour lines, the correction pattern is excluded from the candidates to be arranged. As a result, the same result as the pattern shown in FIG. 4 was obtained.

FIG. 12 shows a relatively large pattern 57, 58.
Is an example of approaching at a corner. Further, a light shielding area 59 is set in the peripheral portion. Immediately after the pattern is input, the light-shielded area is automatically replaced with the fine periodic pattern group 68 as shown in FIG. Here, the area ratio between the light transmission area and the halftone area of the halftone periodic pattern is
√t: 1 (t is the light intensity transmittance of the halftone portion), and its period is a value smaller than the resolution limit of the projection optical system. Using the mask, mask patterns 57, 5
In addition to the projected images 60 and 61 of FIG. 8, unnecessary patterns 62 and 63 were projected due to the proximity effect, but in this case as well, it is unnecessary by arranging the correction patterns 66 and 67 in two places in this embodiment. A projected image without a pattern could be obtained.

According to this embodiment, it is not necessary to calculate the projected image, so that the position of the auxiliary pattern can be obtained in a short time.

By the above method, the pattern design of the halftone phase shift mask could be efficiently performed. As shown in FIG. 16, the designed mask 108 is mounted on the mask mounting table 109 of the projection exposure apparatus, and the projection lens 11
The pattern was transferred to the wafer 112 on which the resist was applied by the usual method. Light emitted from the light source 101 includes a concave mirror 102, mirrors 103 and 106, a fly-eye lens 104, a diaphragm 104-1, a lens system 104,
The mask 108 is illuminated via 105 and 107. At this time, the effect as a halftone phase mask could be brought out by controlling the size of the diaphragm 104-1. The wafer 112 is fixed on a wafer mounting table 113, and is further mounted on a stage 114 movable in the optical axis direction of the projection lens 111 and a stage 115 movable in a plane perpendicular to the optical axis. Both stages are controlled by respective drive systems 118 and 119. The mask position control system 110 positions the mask mounting table 109, and the laser interference system 117 monitors the wafer position as the position of the mirror 116.
And the wafer 112 were aligned. The control of the entire exposure apparatus was performed using the main control system 120. After the pattern transfer, a resist pattern was formed by an ordinary developing process. As a result, a semiconductor integrated circuit or the like having a fine pattern could be manufactured.

A similar effect can be obtained by using an ordinary chrome mask instead of the halftone phase mask. In particular, when the diaphragm 104-1 of the projection exposure apparatus is narrowed down to make the condition of strong coherence, the effect of the correction pattern arrangement is exhibited well.

[0033]

According to the present invention, it is easy to optimize the pattern shape of the halftone phase shift mask by automatically performing pattern size correction and generation of a new pattern for correcting the projection image shape error. There is an effect that can be realized. Further, since the utilization efficiency of the halftone phase shift mask is improved due to this simplification, fine pattern transfer by the phase shift exposure method using the mask is efficiently performed, and the manufacture of highly integrated semiconductor devices is easy. Has the effect of becoming.

[0034]

[Brief description of drawings]

FIG. 1 is a diagram showing a flow chart of a pattern design which is an embodiment of the present invention.

FIG. 2 is a diagram showing an example of initial values of patterns in a halftone phase shift mask.

FIG. 3 is a diagram showing a projection image calculation result of an initial pattern.

FIG. 4 is a diagram showing an example of a mask pattern after automatically generating a pattern to be added.

FIG. 5 is a diagram showing a projection image calculation result of the pattern shown in FIG.

FIG. 6 is a view showing a flow chart of pattern design which is another embodiment of the present invention.

FIG. 7 is a diagram showing a concept of moving each side of the initial pattern by a distance L to generate a widened figure.

FIG. 8 is a diagram showing a widened figure and a new pattern generated at an intersection or an approaching portion thereof.

FIG. 9 is a diagram showing the concept of a halftone phase shift mask.

FIG. 10 is a diagram showing an effect of arrangement of correction patterns in a halftone phase shift mask.

FIG. 11 is a diagram showing the concept of a halftone phase shift mask having a periodic pattern.

FIG. 12 is a diagram showing another example of pattern arrangement of a halftone phase shift mask.

FIG. 13 is a diagram showing a pattern of a halftone phase shift mask which forms a light shielding region.

FIG. 14 is a diagram showing a shape of a correction pattern.

FIG. 15 is a diagram showing the concept of changing the size of the initial pattern and then moving the side by a distance L to generate a widened figure.

FIG. 16 is a diagram showing transfer of a mask pattern onto a wafer using a projection exposure apparatus.

FIG. 17 is a schematic diagram of a pattern design system that is an embodiment of the present invention.

FIG. 18 is a schematic view of a pattern design system according to another embodiment of the present invention.

[Explanation of symbols]

1 ... Input process, 2 ... Projected image calculation process, 3 ... Display process, 4
... mask pattern and projected image comparison step, 5 ... correction pattern generation step, 6 ... data storage step, 10 ... halftone part on mask, 11, 12, 13, 14 ... aperture pattern, 15, 16, 17, 18 ... correction pattern, 20 ...
Contour line generation process, 21 ... Contour line check process, 22 ...
Correction pattern generation step, 30, 31, 32, 33 ... Wide pattern outline, 50 ... Main opening pattern, 51 ... Correction pattern, 52 ... Amplitude distribution of light transmitted through main opening pattern, 53 ... Light passing through correction pattern Amplitude distribution of. 10
1 ... Light source, 108 ... Mask, 111 ... Projection lens, 11
Reference numeral 2 ... Wafer, 122 ... Input means, 123 ... Projected image calculation means, 124 ... Display means, 125 ... Mask pattern and projected image comparison means, 126 ... Correction pattern generation means, 12
7 ... Data storage means, 131 ... Contour line generation means, 13
2 ... Contour line checking means, 133 ... Correction pattern generating means, 134 ... Data storing means

 ─────────────────────────────────────────────────── ─── Continuation of the front page (72) Inventor Shinji Okazaki 1-280, Higashi Koikekubo, Kokubunji, Tokyo Inside the Central Research Laboratory, Hitachi, Ltd.

Claims (16)

[Claims] 1. A pattern design method for a photomask used to transfer a pattern through a projection optical system, comprising: a pattern input step of providing a first photomask pattern having a desired shape as an initial value. An optical parameter input step of inputting a parameter representing an optical condition of the projection optical system; a projection image calculation step of calculating a projection image light intensity distribution of the first photomask pattern obtained by the projection optical system; For the comparison step of comparing the result obtained in the image calculation step with the first photomask pattern given as the initial value, and for the portion where the comparison result in the comparison step is larger than a predetermined allowable value, And a correction pattern generating step of applying a new second photomask pattern. 2. A pattern design method for a photomask used to transfer a pattern through a projection optical system, comprising: a pattern input step of giving a first photomask pattern having a desired shape as an initial value. An optical parameter input step of inputting a parameter representing an optical condition of the projection optical system, and moving each side of the first photomask pattern given as an initial value by a predetermined distance L determined by the projection optical condition. A contour line generating step of generating a contour line of a new figure in which the first photomask pattern is enlarged; a step of extracting a portion where the contour line of the new figure approaches or intersects within a predetermined distance or less; And a pattern generating step of applying a new second photomask pattern to the exposed portion. A total way. 3. The photomask pattern designing method according to claim 1 or 2, wherein the first photomask pattern has a transparent pattern portion that transmits exposure light, and an intensity transmittance of light is 40%. And a light which passes through the light-transmitting pattern portion and a light which passes through the halftone pattern portion have a phase difference of an odd multiple of about 180 degrees. Photomask pattern design method. 4. The photomask pattern designing method according to claim 2, wherein the first photomask pattern input in the pattern inputting step has a dimension near a resolution limit prior to the contour generating step. When the initial pattern is included and there is no adjacent pattern in at least one of the predetermined regions, a pattern widening step of increasing the size of the initial pattern by a predetermined amount and replacing it with the initial pattern is performed. Each side is the predetermined distance L
If the length of the contour line generated in one direction is shorter than a predetermined value, the step of deleting the contour line and the contour line corresponding to the initial pattern widened in the pattern widening step are different from each other. And a step of generating a correction pattern even if the contours do not come close to each other. 5. The photomask pattern designing method according to claim 2, wherein the predetermined distance L is k ₁ when the numerical aperture of the projection optical system is NA and the wavelength of exposure light is λ. · Given by λ / NA, 0.4 ≦ k ₁ ≦ 1.1
And a photomask pattern designing method. 6. The photomask pattern designing method according to claim 2, 4, or 5, wherein the dimension of the second photomask pattern is the numerical aperture of the projection optical system NA. When the wavelength of the exposure light is λ, k ₂ · λ
/ NA, and when the shape of the second photomask pattern extends long in one direction, the dimension of its short side is given by k ₂ · λ / NA, and 0.05 ≦ k ₂ ≦ 0.
4. A photomask pattern designing method, wherein 7. The photomask pattern designing method according to claim 6, wherein a projection image calculation step of calculating a projection image light intensity distribution of the first photomask pattern obtained by the projection optical system, and the projection image. And a comparison step of comparing the result obtained in the calculation step with the first photomask pattern having a desired shape given as the initial value. 8. A pattern design system for a photomask used to transfer a pattern through a projection optical system, comprising pattern input means for providing a first photomask pattern having a desired shape as an initial value. Optical parameter input means for inputting parameters representing optical conditions of the projection optical system; projection image calculation means for calculating a projection image light intensity distribution of the first photomask pattern obtained by the projection optical system; Comparing means for comparing the result obtained by the image computing means with the first photo pattern having the desired shape given as the initial value, and a portion for which the result compared by the comparing means is larger than a predetermined allowable value. On the other hand, a photomask pattern including a correction pattern generating means for applying a new second photomask pattern. Design system. 9. The photomask pattern design system according to claim 8, wherein the first photomask pattern has a transparent pattern portion that transmits exposure light and a halftone having a light intensity transmittance of 40% or less. A photomask pattern comprising a pattern portion, wherein light passing through the light transmitting pattern portion and light passing through the halftone pattern portion have a phase difference of an odd multiple of about 180 degrees. Design system. 10. A pattern design system for a photomask used for transferring a pattern via a projection optical system, comprising pattern input means for providing a first pattern having a desired shape as an initial value, and the projection. Optical parameter input means for inputting parameters representing optical conditions of the optical system, and each side of the first pattern given as an initial value are moved by a predetermined distance L determined by the projection optical conditions to enlarge the pattern. Contour generating means for generating a contour of a new figure, extracting means for extracting a portion where the contour approaches or intersects a predetermined distance or less, and a correction pattern for giving a new correction pattern to the extracted portion A photomask pattern design system comprising: a generating unit. 11. The photomask pattern design system according to claim 8 or 10, wherein the pattern input by the pattern input means, a mask pattern to which a new pattern is added by the pattern generating means, or the projection A photomask pattern design system, further comprising display means for extracting at least two kinds of images out of the results obtained by the image calculation means only in the whole area or in a designated partial area and displaying them simultaneously or sequentially. 12. The photomask pattern design system according to claim 11, wherein said display means comprises at least a light-transmitting region, a halftone pattern region, and a light-shielding region for substantially blocking light from the mask pattern region. A means for displaying in three types of areas distinguishably from each other, wherein the light-shielding area is composed of a halftone periodic pattern group finer than the pattern size transferable by the projection optical system,
A photomask having light-shielding region generating means arranged so that the area ratio of the light transmitting region and the halftone region of the pattern group is approximately √t: 1 (t is the intensity transmittance of the halftone portion). Pattern design system. 13. The correction pattern generating means is a means including a function of dividing the newly added pattern in a longitudinal direction and arranging a plurality of patterns side by side when the newly added pattern is a pattern long in one direction. Characterized by being
The mask pattern design system according to claim 8, 10 or 11, or 12. 14. A substrate which transmits light used for pattern transfer, and a halftone member having a light intensity transmittance of 40% or less, and light which transmits through an opening region where the halftone member does not exist. The light transmitted through the halftone member is a mask having a phase difference of an odd multiple of about 180 degrees with each other, and the shape of the pattern on the mask has a shape according to claim 8 or claim 10 or claim 11 or claim 11. 12. A mask having a shape designed by the mask pattern design system described in 12. 15. A pattern forming method, which comprises using the projection exposure apparatus equipped with the mask according to claim 14 to transfer the pattern on the mask onto a substrate to be exposed through a projection lens. 16. A semiconductor device manufactured by using the pattern forming method according to claim 15.