Patent Number: 
Section: claims

1. A soft X-ray projection exposure apparatus having at least one metal mirror constituting at least one of an illumination optical system and a projection optical system, the at least one mirror comprising: a metal substrate having a front surface and a rear surface;  a thin film of an amorphous substance formed on the front surface of the metal substrate, a front surface of the amorphous substance being polished to optical smoothness; and  a multi-layer film formed on the front surface of the thin film, wherein the multi-layer film reflects X-rays of a specified wavelength, and  wherein at least a principal component of the amorphous substance is one of nickel or a nickel alloy. 2. The soft X-ray projection exposure apparatus according to  claim 1 , wherein the at least one mirror satisfies a condition of: claim 1 xcex1xc2x7Qxc2x7d 2 /(2xcex7)xe2x89xa610 xe2x88x929  where xcex7 is a thermal conductivity of the metal substrate, xcex1 is a coefficient of linear expansion, Q is a thermal flux applied to the metal mirror by electromagnetic radiation, and d is a mean thickness of the mirrors. 3. The soft X-ray projection exposure apparatus according to  claim 1 , wherein the metal substrate includes an Invar alloy. claim 1 4. The soft X-ray projection exposure apparatus according to  claim 1 , wherein the metal substrate includes at least one of aluminum, copper, beryllium, silver, gold, and an alloy containing at least one of aluminum, copper, beryllium, silver, gold. claim 1 5. The soft X-ray projection exposure apparatus according to  claim 1 , wherein a front surface roughness of the amorphous substance is at most 0.5 nm. claim 1 6. The soft X-ray projection exposure apparatus according to  claim 1 , wherein at least a principal component of the amorphous substance is selected from a set consisting of silicon oxide, silicon carbide, PSG (phospho-silicate glass), silicon nitride, silicon, and carbon. claim 1 7. The soft X-ray projection exposure apparatus according to  claim 1 , wherein the back surface of the metal substrate is cooled so that the back surface is maintained at a constant temperature. claim 1 8. A mirror, for use when large amounts of heat from incident electromagnetic radiation is absorbed, comprising: a metal substrate having a front surface and a back surface;  a thin film of an amorphous substance formed on the front surface of the substrate, and having a surface polished to optical smoothness, wherein at least a chief component of the amorphous substance is one of nickel or a nickel alloy. 9. The mirror according to  claim 8  further comprising: claim 8 a multi-layer film formed on a surface of the thin film, wherein the multi-layer reflects X-rays of a specified wavelength. 10. The mirror according to  claim 8 , wherein the surface roughness of the amorphous substance is at most 0.5 nm. claim 8 11. The mirror according to  claim 8 , wherein the mirror satisfies a condition of: claim 8 xcex1xc2x7Qxc2x7d 2 /(2xcex7)xe2x89xa610 xe2x88x929 [m] where xcex7 is a thermal conductivity of the substrate, xcex1 is a coefficient of linear expansion, Q is a thermal flux on the mirror from electromagnetic radiation, and d is a mean thickness of the mirror. 12. The mirror according to  claim 8 , wherein a thermal conductivity of the substrate is at least 200 [W/mxc2x7K]. claim 8 13. The mirror according to  claim 8 , wherein a material of the metal substrate includes one of aluminum, an alloy containing aluminum, copper, an alloy containing copper, beryllium, an alloy containing beryllium, silver, an alloy containing silver, gold, and an alloy containing gold. claim 8 14. The mirror according to  claim 8 , wherein the back surface of the substrate is cooled so that the back surface is maintained at a constant temperature. claim 8 15. A method for manufacturing a mirror comprising: preparing a metal substrate;  forming an amorphous thin film containing a nickel alloy as a chief ingredient on a surface of the metal substrate; and  working a surface of the amorphous thin film into an optically smooth surface. 16. The method according to  claim 15  further comprising: claim 15 forming a multi-layer film that reflects X-rays of a specified wavelength on the surface of the amorphous thin film that has been worked into an optically smooth surface. 17. The method according to  claim 15  wherein the step of forming an amorphous thin film includes a plating process. claim 15