EVALUATION METHOD, ADJUSTMENT METHOD, EXPOSURE APPARATUS, AND MEMORY MEDIUM
First Claim
1. A method of evaluating an imaging performance of a projection optical system according to a polarization state of light in a pupil of an illumination optical system for an exposure apparatus which illuminates an original by the illumination optical system and projects a pattern of the original onto a substrate by the projection optical system, the method comprising:
- a representation step of numerically representing the polarization state in the pupil of the illumination optical system;
an assumption step of virtually dividing the pupil of the illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step; and
a calculation step of calculating the imaging performance of the projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step.
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Abstract
A method evaluating an imaging performance of a projection optical system according to a polarization state of light in a pupil of an illumination optical system for an exposure apparatus, comprises a representation step of numerically representing the polarization state in the pupil of the illumination optical system, an assumption step of virtually dividing the pupil of the illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step; and a calculation step of calculating the imaging performance of the projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step.
23 Citations
9 Claims
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1. A method of evaluating an imaging performance of a projection optical system according to a polarization state of light in a pupil of an illumination optical system for an exposure apparatus which illuminates an original by the illumination optical system and projects a pattern of the original onto a substrate by the projection optical system, the method comprising:
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a representation step of numerically representing the polarization state in the pupil of the illumination optical system; an assumption step of virtually dividing the pupil of the illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step; and a calculation step of calculating the imaging performance of the projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step. - View Dependent Claims (2, 3, 4, 5)
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6. A method of adjusting an imaging performance of a projection optical system in accordance with a polarization state of light in a pupil of an illumination optical system for an exposure apparatus which illuminates an original by the illumination optical system and projects a pattern of the original onto a substrate by the projection optical system, the method comprising:
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a representation step of numerically representing the polarization state in the pupil of the illumination optical system; an assumption step of virtually dividing the pupil of the illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step; a calculation step of calculating the imaging performance of the projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step; and an adjustment step of adjusting the imaging performance of the projection optical system based on the imaging performance calculated in the calculation step.
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7. An exposure apparatus comprising:
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an illumination optical system configured to illuminate an original; a projection optical system configured to project a pattern of the original illuminated by said illumination optical system onto a substrate; and a control unit configured to adjust an imaging performance of said projection optical system, wherein said control unit executes a process including a representation step of numerically representing the polarization state in the pupil of said illumination optical system, an assumption step of virtually dividing the pupil of said illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step, a calculation step of calculating the imaging performance of said projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step, and an adjustment step of adjusting the imaging performance of said projection optical system based on the imaging performance calculated in the calculation step.
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8. A memory medium storing a computer program for making a computer execute a process for evaluating an imaging performance of a projection optical system according to a polarization state of light in a pupil of an illumination optical system for an exposure apparatus which illuminates an original by the illumination optical system and projects a pattern of the original onto a substrate by the projection optical system, the process comprising:
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a representation step of numerically representing the polarization state in the pupil of the illumination optical system; an assumption step of virtually dividing the pupil of the illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step; and a calculation step of calculating the imaging performance of the projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step.
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9. A memory medium storing a computer program for making a computer execute a process for adjusting an imaging performance of a projection optical system in accordance with a polarization state of light in a pupil of an illumination optical system for an exposure apparatus which illuminates an original by the illumination optical system and projects a pattern of the original onto a substrate by the projection optical system, the process comprising:
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a representation step of numerically representing the polarization state in the pupil of the illumination optical system; an assumption step of virtually dividing the pupil of the illumination optical system into a plurality of partial regions, each of which includes a light incident region and a light non-incident region, and assuming individual polarization states for the plurality of partial regions so that one polarization state is assumed for the whole of each partial region based on the polarization state numerically represented in the representation step; a calculation step of calculating the imaging performance of the projection optical system under a condition in which the plurality of partial regions have the polarization states individually assumed in the assumption step; and an adjustment step of adjusting the imaging performance of the projection optical system based on the imaging performance calculated in the calculation step.
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Specification