Method of forming mirrors by surface transformation of empty spaces in solid state materials
First Claim
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1. A method of forming a reflective mirror within a substrate, said method comprising the acts of:
- providing a substrate having a melting temperature;
forming a plurality of cylindrical holes within said substrate, each of said plurality of cylindrical holes being defined by a radius R=λ
/4 [(2k+1)/n+(2m+1)] (1/8.89), wherein λ
is a wavelength for which the reflectivity of said reflective mirror is maximum, n is the refraction index of said substrate, and k and m are real integers, and wherein any two adjacent cylindrical holes are spaced apart by a distance Δ
N2=27.83 R3/(2m+1)λ
/4; and
subjecting said substrate to a temperature lower than the melting temperature of said substrate to form a plurality of empty-spaced patterns beneath a surface of and within said substrate, said empty-spaced patterns being sequentially positioned along an optical path of said substrate.
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Abstract
A multi-layered reflective mirror formed of spaced-apart plate-shaped empty space patterns formed within a substrate is disclosed. The plurality of plate-shaped empty space patterns are formed by drilling holes in the substrate and annealing the substrate to form the spaced-apart plate-shaped empty space patterns.
170 Citations
23 Claims
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1. A method of forming a reflective mirror within a substrate, said method comprising the acts of:
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providing a substrate having a melting temperature; forming a plurality of cylindrical holes within said substrate, each of said plurality of cylindrical holes being defined by a radius R=λ
/4 [(2k+1)/n+(2m+1)] (1/8.89), wherein λ
is a wavelength for which the reflectivity of said reflective mirror is maximum, n is the refraction index of said substrate, and k and m are real integers, and wherein any two adjacent cylindrical holes are spaced apart by a distance Δ
N2=27.83 R3/(2m+1)λ
/4; andsubjecting said substrate to a temperature lower than the melting temperature of said substrate to form a plurality of empty-spaced patterns beneath a surface of and within said substrate, said empty-spaced patterns being sequentially positioned along an optical path of said substrate. - View Dependent Claims (2, 3, 4, 5, 6, 7, 8)
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9. A method of forming a patterned reflective mask within a substrate, said method comprising the acts of:
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providing a quartz substrate; forming a plurality of cylindrical holes within said quartz substrate, each of said plurality of cylindrical holes being defined by a radius R=λ
/4 [(2k+1)/n+(2m+1)] (1/8.89), wherein λ
is a wavelength for which the reflectivity of said reflective mirror is maximum, n is the refraction index of said substrate, and k and m are real integers, and wherein any two adjacent cylindrical holes are spaced apart by a distance Δ
N2=27.83 R3/(2m+1)λ
/4; andannealing said quartz substrate at a temperature of at least about 1100°
C. and under an oxidizing ambient, to form a plurality of empty-spaced patterns beneath a surface of and within said quartz substrate, said empty-spaced patterns being sequentially positioned along an optical path of said quartz substrate. - View Dependent Claims (10, 11, 12, 13, 14)
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15. An integrated circuit substrate comprising:
at least one reflective mirror provided beneath a surface of, and within, a semiconductor substrate, said reflective mirror comprising a plurality N of empty-spaced patterns located beneath said surface of and within said substrate, said empty-spaced patterns being positioned along an optical path of said substrate and being surrounded by substrate material, wherein said at least one reflective mirror is characterized by a maximum reflectivity value RN=(1−
n12N+1/1+n12N+1)2, wherein n1 is the refraction index of the semiconductor substrate and wherein N is the number of empty-spaced patterns.- View Dependent Claims (16, 17, 18, 19, 20, 21, 22, 23)
Specification