Substrate bonding method and substrate bonding apparatus

1. A substrate bonding method comprising:

disposing a first substrate and a second substrate to face each other;

controlling the first substrate and the second substrate to have a temperature difference; and

in a state where the first substrate and the second substrate are controlled to have the temperature difference, bonding the first substrate to the second substrate by bringing the first substrate into contact with the second substrate while deforming the first substrate so that a central portion of the first substrate is projected toward the second substrate, the central portion of the first substrate being on an inner side of a peripheral portion of the first substrate,

wherein the controlling to have the temperature difference includes producing the temperature difference between the first substrate and the second substrate to reach a predetermined temperature difference, so that a misalignment between a reference position of the first substrate and a reference position of the second substrate reaches a target value, and

wherein the predetermined temperature difference is decided in advance by:

disposing a third substrate corresponding to the first substrate and a fourth substrate corresponding to the second substrate, so that the third substrate and the fourth substrate face each other;

in the state where the third substrate and the fourth substrate are controlled to have a room temperature, bonding the third substrate to the fourth substrate by bringing the third substrate into contact with the fourth substrate while deforming the third substrate so that a central portion of the third substrate is projected toward the fourth substrate, the central portion of the third substrate being on an inner side of a peripheral portion of the third substrate;

measuring a misalignment between a reference position of the third substrate and a reference position of the fourth substrate; and

deciding a temperature difference corresponding to the measured misalignment between the reference positions,

wherein the controlling to have the temperature difference includes producing the temperature difference between the first substrate and the second substrate to reach the decided temperature difference.

2. The substrate bonding method according to claim 1 , wherein the deciding the temperature difference includes deciding the temperature difference so that a difference in thermal expansion amount is generated in a direction opposite to the measured misalignment of the reference positions.

3. The substrate bonding method according to claim 1 , wherein the deciding the temperature difference includes deciding the temperature difference so that, when the reference position of the third substrate is misaligned toward the center as compared with the reference position of the fourth substrate, a temperature of the first substrate is higher than a temperature of the second substrate.

4. The substrate bonding method according to claim 1 , wherein the deciding the temperature difference includes deciding the temperature difference so that, when the reference position of the third substrate is misaligned outward as compared with the reference position of the fourth substrate, a temperature of the first substrate is lower than a temperature of the second substrate.

5. The substrate bonding method according to claim 1 , wherein the bonding the first substrate to the second substrate includes deforming the first substrate so that a portion near a center of the first substrate is projected toward the second substrate.

6. The substrate bonding method according to claim 1 , wherein the bonding the first substrate to the second substrate includes deforming the first substrate so that a portion shifted from a center of the central portion of the first substrate is projected toward the second substrate.