Method, program product and apparatus for optimizing illumination for full-chip layer
First Claim
1. A method of optimizing illumination for a full-chip layer, comprising the steps of:
- determining a pitch frequency of the full-chip layer, the pitch frequency indicating how often a pitch occurs in the full-chip layer so as to generate a pitch frequency histogram of the full-chip layer;
equating the pitch frequency histogram to be the first eigenfunction of the sum of coherent systems representation of a transformation cross coefficient; and
solving an integral equation for the first eigenfunction of the transformation cross coefficient so as to define the optimal illumination for the full-chip layer.
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Accused Products
Abstract
Optimization of illumination for a full-chip layer is disclosed. A pitch frequency of the full-chip layer is determined so as to generate a pitch frequency histogram of the full-chip layer. The pitch frequency indicates how often a given pitch occurs in the full-chip layer. The pitch frequency histogram is equated to be the first eigenfunction from the sum of coherent system representation of a transformation cross coefficient. An integral equation for the first eigenfunction of the transformation cross coefficient is solved so as to define the optimal illumination for imaging the full-chip layer.
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Citations
31 Claims
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1. A method of optimizing illumination for a full-chip layer, comprising the steps of:
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determining a pitch frequency of the full-chip layer, the pitch frequency indicating how often a pitch occurs in the full-chip layer so as to generate a pitch frequency histogram of the full-chip layer;
equating the pitch frequency histogram to be the first eigenfunction of the sum of coherent systems representation of a transformation cross coefficient; and
solving an integral equation for the first eigenfunction of the transformation cross coefficient so as to define the optimal illumination for the full-chip layer. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8, 9, 10)
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11. A computer program product having a computer readable medium bearing a computer program for optimizing illumination for a full-chip layer, the computer program, which executed, causing a computer to perform the steps of:
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determining a pitch frequency of the full-chip layer, the pitch frequency indicating how often a pitch occurs in the full-chip layer so as to generate a pitch frequency histogram of the full-chip layer;
equating the pitch frequency histogram to be the first eigenfunction of the sum of coherent systems representation of a transformation cross coefficient; and
solving an integral equation for the first eigenfunction of the transformation cross coefficient so as to define the optimal illumination for the full-chip layer. - View Dependent Claims (12, 13, 14, 15, 16, 17, 18, 19, 20)
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21. An apparatus for optimizing illumination for a full-chip layer, comprising:
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a first unit configured for determining a pitch frequency of the full-chip layer, the pitch frequency indicating how often a pitch occurs in the full-chip layer so as to generate a pitch frequency histogram of the full-chip layer;
a second unit configured for equating the pitch frequency histogram to be the first eigenfunction of the sum of coherent systems representation of a transformation cross coefficient; and
a third unit configured for solving an integral equation for the first eigenfunction of the transformation cross coefficient so as to define the optimal illumination for the full-chip layer. - View Dependent Claims (22, 23, 24, 25, 26, 27, 28, 29, 30)
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31. A device manufacturing method comprising the steps of:
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(a) providing a substrate that is at least partially covered by a layer of radiation-sensitive material;
(b) providing a projection beam of radiation using an imaging system;
(c) using a pattern on a mask to endow the projection beam with a pattern in its cross-section;
(d) projecting the patterned beam of radiation onto a target portion of the layer of radiation-sensitive material, wherein in step (b), providing said projection beam includes the steps of;
determining a pitch frequency of a full-chip layer, the pitch frequency indicating how often a pitch occurs in the full-chip layer so as to generate a pitch frequency histogram of the full-chip layer;
equating the pitch frequency histogram to be the first eigenfunction of the sum of coherent systems representation of a transformation cross coefficient; and
solving an integral equation for the first eigenfunction of the transformation cross coefficient so as to define the optimal illumination for the full-chip layer.
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Specification