CN107621757A - A kind of intersection transmission function quick decomposition method based on indicator function - Google Patents

A kind of intersection transmission function quick decomposition method based on indicator function Download PDF

Info

Publication number
CN107621757A
CN107621757A CN201710820278.7A CN201710820278A CN107621757A CN 107621757 A CN107621757 A CN 107621757A CN 201710820278 A CN201710820278 A CN 201710820278A CN 107621757 A CN107621757 A CN 107621757A
Authority
CN
China
Prior art keywords
mrow
function
msub
light source
mfrac
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.)
Withdrawn
Application number
CN201710820278.7A
Other languages
Chinese (zh)
Inventor
贡顶
沈忱
崔绍春
陈雪莲
鄢丽萍
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
SUZHOU COGENDA ELECTRONIC CO Ltd
Original Assignee
SUZHOU COGENDA ELECTRONIC CO Ltd
Priority date (The priority date 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 date listed.)
Filing date
Publication date
Application filed by SUZHOU COGENDA ELECTRONIC CO Ltd filed Critical SUZHOU COGENDA ELECTRONIC CO Ltd
Priority to CN201710820278.7A priority Critical patent/CN107621757A/en
Publication of CN107621757A publication Critical patent/CN107621757A/en
Withdrawn legal-status Critical Current

Links

Abstract

The invention discloses a kind of intersection transmission function quick decomposition method based on indicator function, it includes:1) the light source function J (f, g) of imaging system is obtained;2) the region Ω for describing light source is divided to obtain one group of orthogonal subregion Ωij, and with the indicator function I on orthogonal subregionij(f, g) describes the light source function J (f, g);3) the indicator function I is calculatedijThe inverse Fourier transform of (f, g), obtain the basic function L of space co-domainij(x, y), and by the light source interaural crosscorrelation function in spatial domainProject to one group of basic functionOn, obtain to light source interaural crosscorrelation functionDecomposition;4) the intersection transmission function established in spatial domainKernel function c;5) kernel function is calculatedWith mask plate figureConvolution, obtain image plane on exposing patternsThe present invention utilizes the indicator function I in orthogonal areaij(f, g) states light source function, and light source interaural crosscorrelation function is directly obtained using the projection coefficient of the orthogonality relation of indicator function, and light sourceDecomposition, be readily available intersection transmission functionKernel functionSo that light distribution calculating is quick and efficient.

Description

A kind of intersection transmission function quick decomposition method based on indicator function
【Technical field】
Photoetching resolution in being emulated the invention belongs to semiconductor device technology strengthens technical field, more particularly to one kind The intersection transmission function quick decomposition method based on indicator function established in Hopkins image-forming principles.
【Background technology】
Photoetching process is the Main Means of pattern transfer technology in semiconductor devices production process, have production efficiency it is high, The advantages such as relative cost is low.Photoetching process is based on diffraction optics, and the light distribution of specific pattern, i.e. optics are obtained in imaging plane Imaging.With the development of semiconductor technology, the size of semiconductor devices is less and less, when the close even less than photoetching of characteristic size During optical wavelength used in technique, optical diffraction will cause formed exposure figure and used mask plate figure on silicon chip Shape is compared to there is certain distortion, and as characteristic size further reduces, the difference of this figure will aggravate.This phenomenon causes photoetching The transfer distortions of figure, the final yield rate for influenceing product.To suppress the negative effect that optical diffraction produces to semiconductor devices, The quick calculating of image plane light distribution is used for the process simulation of photoetching technique.In order to adapt to the diversity of design, complexity, Optical imagery based on model is more and more to be used.
Increasing with the scale of integrated circuit, the device integrated on single semiconductor chip is more and more, accordingly The mask plate exposure figure that photoetching process needs becomes increasingly complex, and this requires that the calculating of optical patterning model must be quick height Effect, so that whole optical near-correction process circulation time is reduced, production efficiency is improved, reduces production cost.
Etching system can be reduced to an imaging system, including lighting source, mask plate, projection objective and silicon chip Four fundamentals of photoresist of imaging surface.There are document (A.K.-K.Wong, Resolution in the prior art Enhancement techniques in optical lithography, vol.47.SPIE press, 2001.) disclose A kind of photoetching resolution strengthens technology, its using Hopkins image-forming principles establish it is four-dimensional intersect transmission function (abbreviation TCC, Transmission Cross Coefficient) characterize the optical parametric of imaging system (light source, numerical aperture, difference, mistake Jiao etc.), for the imaging system of identical optical parameter, TCC only needs to calculate once, and can be recycled.Other existing skill There are document (N.B.Cobb, Fast Optical and Process Proximity Correction Algorithms in art For Integrated Circuit Manufacturing, Ph.D.dissertation, University of California, Berkeley, 1998.) fast optical and technique near-correction algorithm of a kind of IC manufacturing are proposed, Using Eigenvalues analysis method, extract TCC characteristic value and characteristic vector, by retain the characteristic value larger to Imaging and Characteristic vector, then it can greatly reduce the number for calculating the Fourier transform needed for light distribution so as to realizing quick calculating.But root It is theoretical according to Hopkins optical imageries, four-dimensional intersection transmission function TCC is established, it intersects transmission function TCC calculating and is related to quadruple Integral operation, it is quite time-consuming.If respective optical parameter changes, if it has to recalculates TCC, it is calculated according to normal Method calculates the efficiency that TCC will have a strong impact on light distribution calculating, so as to influence the design efficiency of photoetching process.
Therefore, it is necessary to a kind of new intersection transmission function quick decomposition method based on indicator function is provided to solve State problem.
【The content of the invention】
It is a primary object of the present invention to provide a kind of intersection transmission based on indicator function based on Hopkins image-forming principles Function quick decomposition method, the method that quickly can accurately obtain kernel function so that light distribution calculating is quick and efficient, so as to Meet actual photoetching process design requirement.
The present invention is achieved through the following technical solutions above-mentioned purpose:A kind of intersection transmission function based on indicator function is quick Decomposition method, it comprises the following steps,
Step S101:Obtain the light source function J (f, g) of imaging system;
Step S102:The region Ω for describing light source is divided to obtain one group of orthogonal subregion Ωij, and with orthogonal sub-district Indicator function I on domainij(f, g) describes the light source function J (f, g);
Step S103:Calculate the indicator function IijThe inverse Fourier transform of (f, g), obtain the basic function of space co-domain Lij(x, y), and by the light source interaural crosscorrelation function in spatial domainProject to one group of basic functionOn, Obtain to light source interaural crosscorrelation functionDecomposition;
Step S104:The intersection transmission function established in spatial domainKernel function
Step S105:Calculate kernel functionWith mask plate figureConvolution, obtain image plane on exposure diagram Case
Further, the region of light source is Ω={ (f, g) described in the step S102:|f|≤1,|g|≤1}.
Further, be to the methods that are divided of region Ω for describing light source in the step S102 by f, g according toEquidistant division obtains orthogonal subregion and is
Further, the orthogonal subregion Ω selected in the step S102ijOn indicator function Iij(f, g) meets
Further, in the step S102 by the light source function J (f, g) with the indicator function IijThe line of (f, g) Property combination be described as
Wherein γijIt is light source function J (f, g) in indicator function Iij(f, g) describes region ΩijCorresponding functional value.
Further, indicator function I described in the step S103ijThe base letter obtained after the inverse Fourier transform of (f, g) Number Lij(x, y) is
Further, the light source interaural crosscorrelation function obtained in the step S103Be decomposed into
Further, the kernel function in the step S104WhereinFor the space domain representation of pupil function.
Compared with prior art, a kind of intersection transmission function quick decomposition method based on indicator function of the present invention is beneficial Effect is:Utilize the indicator function I in orthogonal areaij(f, g) statement light source function J (f, g), utilizes the orthogonal of indicator function The projection coefficient of relation and light source directly obtains light source interaural crosscorrelation functionDecomposition, easier obtained so as to very fast Intersect transmission functionKernel functionSo that light distribution calculating is quick and efficient, it is actual so as to meet Photoetching process design requirement.
【Brief description of the drawings】
Fig. 1 is the calculation process schematic diagram of the embodiment of the present invention;
Fig. 2 is the calculation process schematic diagram of light distribution of the embodiment of the present invention;
Fig. 3 is the quadrupole sector light source schematic diagram of light source function J (f, g) in the embodiment of the present invention;
Fig. 4 is that light source function J (f, g) passes through one group of indicator function I in the embodiment of the present inventionijThe schematic diagram of (f, g) description;
Fig. 5 is light source interaural crosscorrelation function in the embodiment of the present inventionSignal of the decomposition method in spatial sampling Figure;
Fig. 6,7 be the embodiment of the present invention in mask pattern light distribution schematic diagram;
Fig. 8 is the actual light intensity distribution schematic diagram on the imaging plane of a variety of mask patterns in the embodiment of the present invention.
【Embodiment】
Embodiment:
It is as follows based on the imaging theory of Hopkins diffraction optics, imaging intensity distribution function formula:
Wherein, i is imaginary unit, and M (f, g)=F [m (x, y)] is the two-dimension fourier transform of mask plate spatial distribution (FFT, Fast Fourier Transform), TCC are corresponding four-dimensional intersection transmission function, and it is defined as:
TCC(f1,g1;f2,g2)=∫ ∫ J (f, g) P (f+f1,g+g1)·P*(f+f2,g+g2)dfdg (2)
Wherein, J (f, g) is light source function, and P (f, g) is the pupil function of imaging system, P*(f, g) is the P of pupil function The complex conjugate of (f, g), state the optical parametric of optical imaging system.According to Cobb decomposition algorithm, then TCC singular value be present Decompose as follows:
Wherein, Keri(f, g) is TCC kernel function, then the light distribution that can quickly calculate imaging system is as follows:
Fig. 1 is refer to, the present embodiment is that the intersection based on indicator function established based on Hopkins image-forming principles transmits letter Number quick decomposition method, i.e., carry out fast decoupled calculating, it comprises the following steps to formula (2):
Step S101:Obtain the optical parametric of imaging system, specially light source function J (f, g).System is imaged in the present embodiment Optical parametric in system includes:Quadrupole sector light source σin=0.4, σout=0.8, λ=248nm, NA=0.53, its quadrupole are fan-shaped Light source J (f, g) schematic diagram is as shown in Figure 3.
Step S102:The region Ω for describing light source is divided to obtain one group of orthogonal subregion Ωij, and with orthogonal sub-district Indicator function I on domainij(f, g) description light source function J (f, g).
Specifically, comprise the following steps:
1) in normalized frequency spatially fmax=gmax=1, the region for describing light source is
Ω={ (f, g):|f|≤1,|g|≤1}
2) f, g are equidistantly dividedObtain orthogonal subregion ΩijFor
3) orthogonal subregion Ω is selectedijOn an indicator function Iij(f, g), indicator function Iij(f, g) meets
Apparent Iij(f, g) is one group of orthogonal function.
4) by light source function J (f, g) indicator function IijThe linear combination of (f, g) describes to obtain:
Wherein γijIt is light source function J (f, g) in indicator function Iij(f, g) describes region ΩijCorresponding functional value.
Light source function J (f, g) indicator function IijIt is as shown in Figure 4 that the linear combination of (f, g) describes reference chart.
Step S103:Calculate indicator function IijThe inverse Fourier transform of (f, g), obtain the basic function L of space co-domainij(x, Y), and by the light source interaural crosscorrelation function in spatial domainProject to one group of basic functionOn, realize light The decomposition of source interaural crosscorrelation function.Using the kernel function after decomposition, real light source interaural crosscorrelation function, the function such as Fig. 5 institutes are described Show.
Specifically, comprise the following steps:
1) indicator function I is calculatedijThe inverse Fourier transform of (f, g):
2) by the light source interaural crosscorrelation function in spatial domainProject to one group of basic functionUpper Arrive
Wherein, αpq,mnFor corresponding basic functionProjection coefficient, can be calculated by following formula:
Wherein N is basic functionMould, due to indicator function IijThe property of orthogonality and I of (f, g)ij(f, g)×Iij(f, g)=Iij(f, g), then αpq,mn≠ 0 and if only if that pq=mn=ij is
αij,ijij/n2 (9)
So as to which formula (7) can further simplify, the decomposition for obtaining light source interaural crosscorrelation function is as follows:
Step S104:The intersection transmission function established in spatial domainKernel function
Specifically, the four-dimensional transmission function TCC that intersects described in formula (2) is obtained in spatial domain by Fourier transform Corresponding intersection transmission functionIts expression formula is as follows:
Wherein,Reached for the vector table in spatial domain,For pupil function P (f, g) inverse Fourier transform. Step S103 formula (10) is to light source interaural crosscorrelation functionDecomposition, then can obtain intersection transmission functionKernel functionSo as to realize that the fast decoupled for intersecting transmission function is as follows:
Wherein
Step S105:Calculate kernel functionWith mask plate figureConvolution, obtain image plane on exposure diagram CaseSpecifically,
According to the kernel function obtained by step S104, the relation of consideration convolution algorithm and Fourier transformation, according to formula (4) just It can obtain the imaging light distribution of imaging system:
Fig. 2 is refer to, step S105 specifically includes following steps:
Step S201:Input in the spatial domain of imaging system and intersect the kernel function ker of transmission functionij(x, y) and mask figure The spatial distribution m (x, y) of shape;
Step S202:Using FFT methods, calculate to intersect on frequency domain and transmit kernel function Kerij(f, g)=F [kerij(x,y)] And performance M (f, g)=F [m (x, y)] of the mask pattern on frequency domain;
Step S203:Calculate light distribution I (x, y)=∑ of imaging planeij|F-1[Kerij(f,g)·M(f,g)]|2
The content of the invention of the present embodiment is mainly to intersect the rapid build of transmission function, for changing band for technological parameter The quick calculating of the mask pattern change come, to meet photoetching process design requirement.Fig. 1 is refer to, it is quick according to the present embodiment The kernel function for the intersection transmission function being calculatedThe light of imaging plane can be quickly calculated by Fourier transform again Strong distribution.The spatial distribution m (x, y) of mask pattern is spatial sampling, and the mask pattern of part is as shown in Figure 6.In step S105, According to formula (4), the light distribution of imaging plane is calculated, as shown in Figure 7.Fig. 8 illustrates the fast decoupled side based on the present invention Method, to the light distribution on the imaging plane of the mask plate of an a variety of mask patterns.It was found from from Fig. 6, Fig. 7, Fig. 8, this reality The light distribution of mask pattern can quickly be calculated by applying the fast algorithm of example proposition.
A kind of beneficial effect of the quick decomposition method of intersection transmission function of the present embodiment based on Hopkins image-forming principles It is:Utilize the indicator function I in orthogonal areaij(f, g) states light source function J (f, g), utilizes the orthogonal pass of indicator function The projection coefficient of system and light source directly obtains light source interaural crosscorrelation functionDecomposition, so as to comparatively fast easier being handed over Pitch transmission functionKernel functionSo that light distribution calculating is quick and efficient, so as to meet actual light Carving technology design requirement.
Above-described is only some embodiments of the present invention.For the person of ordinary skill of the art, not On the premise of departing from the invention design, various modifications and improvements can be made, these belong to the protection model of the present invention Enclose.

Claims (8)

  1. A kind of 1. intersection transmission function quick decomposition method based on indicator function, it is characterised in that:It comprises the following steps,
    Step S101:Obtain the light source function J (f, g) of imaging system;
    Step S102:The region Ω for describing light source is divided to obtain one group of orthogonal subregion Ωij, and with orthogonal subregion Indicator function Iij(f, g) describes the light source function J (f, g);
    Step S103:Calculate the indicator function IijThe inverse Fourier transform of (f, g), obtain the basic function L of space co-domainij(x, Y), and by the light source interaural crosscorrelation function in spatial domainProject to one group of basic functionOn, acquisition pair Light source interaural crosscorrelation functionDecomposition;
    Step S104:The intersection transmission function established in spatial domainKernel function
    Step S105:Calculate kernel functionWith mask plate figureConvolution, obtain image plane on exposing patterns
  2. 2. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 1, it is characterised in that:It is described The region of light source is Ω={ (f, g) described in step S102:|f|≤1,|g|≤1}.
  3. 3. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 2, it is characterised in that:It is described Be to the methods that are divided of region Ω for describing light source in step S102 by f, g according to Equidistant division obtains orthogonal subregion and is
    <mrow> <msub> <mi>&amp;Omega;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mo>=</mo> <mo>{</mo> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>:</mo> <msub> <mi>f</mi> <mi>i</mi> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </mfrac> <mo>&lt;</mo> <mi>f</mi> <mo>&amp;le;</mo> <msub> <mi>f</mi> <mi>i</mi> </msub> <mo>+</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </mfrac> <mo>,</mo> <msub> <mi>g</mi> <mi>j</mi> </msub> <mo>-</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </mfrac> <mo>&lt;</mo> <mi>g</mi> <mo>&amp;le;</mo> <msub> <mi>g</mi> <mi>j</mi> </msub> <mo>+</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </mfrac> <mo>}</mo> <mo>.</mo> </mrow>
  4. 4. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 3, it is characterised in that:It is described The orthogonal subregion Ω selected in step S102ijOn indicator function Iij(f, g) meets
    <mrow> <msub> <mi>I</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mn>1</mn> </mtd> <mtd> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <mi>g</mi> <mo>)</mo> <mo>&amp;Element;</mo> <msub> <mi>&amp;Omega;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <mi>E</mi> <mi>l</mi> <mi>s</mi> <mi>e</mi> </mrow> </mtd> </mtr> </mtable> </mfenced> <mo>.</mo> </mrow>
  5. 5. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 4, it is characterised in that:It is described By the light source function J (f, g) with the indicator function I in step S102ijThe linear combination of (f, g) is described as
    <mrow> <mi>J</mi> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <mi>g</mi> <mo>)</mo> </mrow> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </munder> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msub> <mi>I</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <mi>g</mi> <mo>)</mo> </mrow> </mrow>
    Wherein γijIt is light source function J (f, g) in indicator function Iij(f, g) describes region ΩijCorresponding functional value.
  6. 6. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 5, it is characterised in that:It is described Indicator function I described in step S103ijThe basic function L obtained after the inverse Fourier transform of (f, g)ij(x, y) is
    <mrow> <mtable> <mtr> <mtd> <mrow> <msub> <mi>L</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>x</mi> <mo>,</mo> <mi>y</mi> <mo>)</mo> </mrow> <mo>=</mo> <mo>&amp;Integral;</mo> <msub> <mo>&amp;Integral;</mo> <msub> <mi>&amp;Omega;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> </msub> <msub> <mi>I</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <mi>f</mi> <mo>,</mo> <mi>g</mi> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mi>i</mi> <mn>2</mn> <mi>&amp;pi;</mi> <mrow> <mo>(</mo> <mi>f</mi> <mi>x</mi> <mo>+</mo> <mi>g</mi> <mi>y</mi> <mo>)</mo> </mrow> </mrow> </msup> <mi>d</mi> <mi>f</mi> <mi>d</mi> <mi>g</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mo>=</mo> <msup> <mi>e</mi> <mrow> <mi>i</mi> <mn>2</mn> <mi>&amp;pi;</mi> <mrow> <mo>(</mo> <msub> <mi>f</mi> <mi>i</mi> </msub> <mi>x</mi> <mo>+</mo> <msub> <mi>g</mi> <mi>j</mi> </msub> <mi>y</mi> <mo>)</mo> </mrow> </mrow> </msup> <mi>sin</mi> <mi>c</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>&amp;pi;</mi> <mi>x</mi> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> <mi>sin</mi> <mi>c</mi> <mrow> <mo>(</mo> <mfrac> <mrow> <mi>&amp;pi;</mi> <mi>y</mi> </mrow> <mi>n</mi> </mfrac> <mo>)</mo> </mrow> <mfrac> <mn>1</mn> <msup> <mi>n</mi> <mn>2</mn> </msup> </mfrac> </mrow> </mtd> </mtr> </mtable> <mo>.</mo> </mrow>
  7. 7. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 6, it is characterised in that:It is described The light source interaural crosscorrelation function obtained in step S103Be decomposed into
    <mrow> <mi>j</mi> <mrow> <mo>(</mo> <msub> <mover> <mi>r</mi> <mo>&amp;RightArrow;</mo> </mover> <mn>1</mn> </msub> <mo>-</mo> <msub> <mover> <mi>r</mi> <mo>&amp;RightArrow;</mo> </mover> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </munder> <mfrac> <msub> <mi>&amp;gamma;</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <msup> <mi>n</mi> <mn>2</mn> </msup> </mfrac> <msub> <mi>L</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> </msub> <mrow> <mo>(</mo> <msub> <mover> <mi>r</mi> <mo>&amp;RightArrow;</mo> </mover> <mn>1</mn> </msub> <mo>)</mo> </mrow> <mo>&amp;CenterDot;</mo> <msubsup> <mi>L</mi> <mrow> <mi>i</mi> <mi>j</mi> </mrow> <mo>*</mo> </msubsup> <mrow> <mo>(</mo> <msub> <mover> <mi>r</mi> <mo>&amp;RightArrow;</mo> </mover> <mn>2</mn> </msub> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
  8. 8. the intersection transmission function quick decomposition method based on indicator function as claimed in claim 6, it is characterised in that:It is described The kernel function in step S104WhereinFor the sky of pupil function Between domain representation.
CN201710820278.7A 2017-09-13 2017-09-13 A kind of intersection transmission function quick decomposition method based on indicator function Withdrawn CN107621757A (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201710820278.7A CN107621757A (en) 2017-09-13 2017-09-13 A kind of intersection transmission function quick decomposition method based on indicator function

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201710820278.7A CN107621757A (en) 2017-09-13 2017-09-13 A kind of intersection transmission function quick decomposition method based on indicator function

Publications (1)

Publication Number Publication Date
CN107621757A true CN107621757A (en) 2018-01-23

Family

ID=61088289

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201710820278.7A Withdrawn CN107621757A (en) 2017-09-13 2017-09-13 A kind of intersection transmission function quick decomposition method based on indicator function

Country Status (1)

Country Link
CN (1) CN107621757A (en)

Cited By (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109164683A (en) * 2018-09-30 2019-01-08 墨研计算科学(南京)有限公司 Light distribution fast determination method and device based on mask graph processing
CN109212913A (en) * 2018-09-30 2019-01-15 墨研计算科学(南京)有限公司 Light distribution acquisition methods and device based on non-homogeneous calculating
CN109270802A (en) * 2018-09-30 2019-01-25 墨研计算科学(南京)有限公司 A kind of fast acquiring method and device of crystal column surface light distribution
CN113779928A (en) * 2021-09-03 2021-12-10 珠海市睿晶聚源科技有限公司 Calculation method and system for rapid simulation photoetching process

Cited By (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109164683A (en) * 2018-09-30 2019-01-08 墨研计算科学(南京)有限公司 Light distribution fast determination method and device based on mask graph processing
CN109212913A (en) * 2018-09-30 2019-01-15 墨研计算科学(南京)有限公司 Light distribution acquisition methods and device based on non-homogeneous calculating
CN109270802A (en) * 2018-09-30 2019-01-25 墨研计算科学(南京)有限公司 A kind of fast acquiring method and device of crystal column surface light distribution
CN113779928A (en) * 2021-09-03 2021-12-10 珠海市睿晶聚源科技有限公司 Calculation method and system for rapid simulation photoetching process
CN113779928B (en) * 2021-09-03 2022-07-08 珠海市睿晶聚源科技有限公司 Calculation method and system for rapid simulation photoetching process

Similar Documents

Publication Publication Date Title
CN109582995B (en) Integrated circuit manufacturing method and system
CN107621757A (en) A kind of intersection transmission function quick decomposition method based on indicator function
CN104865788B (en) A kind of lithography layout OPC method
US8285030B2 (en) Determining calibration parameters for a lithographic process
US8683396B2 (en) Determining source patterns for use in photolithography
CN107644131A (en) Intersection transmission function quick decomposition method based on polar coordinates sampling
Yu et al. Gradient-based fast source mask optimization (SMO)
CN110426914B (en) Correction method of sub-resolution auxiliary graph and electronic equipment
US7328424B2 (en) Method for determining a matrix of transmission cross coefficients in an optical proximity correction of mask layouts
CN106125511B (en) Low error suseptibility multiple target source mask optimization method based on vector imaging model
TW200807185A (en) Original data producing method and original data producing program
CN109976087B (en) Method for generating mask pattern model and method for optimizing mask pattern
CN109788646A (en) Method for production of integrated circuits
CN112083631B (en) Informatics calculation photoetching method
WO2010088139A2 (en) Compact abbe&#39;s kernel generation using principal component analysis
CN106950795A (en) The forming method of secondary graphics
US8238644B2 (en) Fast method to model photoresist images using focus blur and resist blur
CN107479335A (en) The optical imagery quick calculation method decomposed based on light source interaural crosscorrelation function
US7343271B2 (en) Incorporation of a phase map into fast model-based optical proximity correction simulation kernels to account for near and mid-range flare
CN105573066A (en) Mask optimization method of photoetching machine
CN111985611A (en) Computing method based on physical characteristic diagram and DCNN machine learning reverse photoetching solution
CN108665060A (en) A kind of integrated neural network for calculating photoetching
CN111507059B (en) Graphic and image joint optimization photoetching mask optimization method and device and electronic equipment
CN107037695B (en) It is a kind of to calculate coherent imaging etching system channel capacity and the method for image error lower limit
CN113433790B (en) Imaging resolution enhancement method based on information theory

Legal Events

Date Code Title Description
PB01 Publication
PB01 Publication
SE01 Entry into force of request for substantive examination
SE01 Entry into force of request for substantive examination
WW01 Invention patent application withdrawn after publication

Application publication date: 20180123

WW01 Invention patent application withdrawn after publication