Claims
- 1. A method for making a complementary comb filter pair, wherein the complementary comb filter pair comprises a first comb filter element having at least one stop band having a center position and a second comb filter element having at least one stop band having a center position, wherein the complementary comb filter pair is to be used to filter electromagnetic radiation having a wavelength range, comprising:
determining a constant multiplicitive factor M, according to the formula M2n=λshort/λlong; wherein n is the number of stop bands of each comb filter of the complementary comb filter pair, λshort is the shortest wavelength of the wavelength range and λlong is the longest wavelength of the wavelength range.
- 2. A product prepared in accordance with the method of claim 1.
- 3. The invention according to claim 1, wherein the first comb filter element has a first wavelength transmission profile and the second comb filter element has a second wavelength transmission profile, wherein the first wavelength transmission profile is complementary to the second wavelength transmission profile.
- 4. The invention according to claim 1, wherein the center position of the stop band of the first comb filter element having the longest wavelength is calculated according to the formula λa=λlong2M/(M+1), wherein λa is the center position of the stop band of the first comb filter element having the longest wavelength, λlong is the longest wavelength of the wavelength range, and M is the constant multiplicitive factor.
- 5. The invention according to claim 4, wherein the center position of the stop band of the second comb filter element having the longest wavelength is calculated according to the formula λb=λaM, wherein λb is the center position of the stop band of the second comb filter element having the longest wavelength, λa is the center position of the stop band of the first comb filter element having the longest wavelength, and M is the constant multiplicitive factor.
- 6. The invention according to claim 1, wherein a masking agent is disposed on at least a portion of a surface of the second comb filter element.
- 7. The invention according to claim 1, wherein a dielectric coating is disposed on at least a portion of a surface of the first and second comb filter elements.
- 8. The invention according to claim 7, wherein the dielectric coating is disposed on the at least a portion of the surface of the first comb filter element to a first depth and the dielectric coating is disposed on the at least a portion of the surface of the second comb filter element to a second depth, wherein the difference in the deposition depth of the dielectric coating of the first comb filter element and the second filter element is calculated according to the formula 1-M, wherein M is the constant multiplicitive factor.
- 9. A method for making a complementary comb filter pair, wherein the complementary comb filter pair comprises a first comb filter element having at least one stop band having a center position and a second comb filter element having at least one stop band having a center position, wherein the complementary comb filter pair is to be used to filter electromagnetic radiation having a wavelength range, comprising:
determining a constant multiplicitive factor M, according to the formula M2n=λshort/λlong; wherein n is the number of stop bands of each comb filter of the complementary comb filter pair, λshort is the shortest wavelength of the wavelength range and λlong is the longest wavelength of the wavelength range; and calculating the center position of the stop band of the first comb filter element having the longest wavelength according to the formula λa=λlong2M/(M+1); wherein λa is the center position of the stop band of the first comb filter element having the longest wavelength, λlong is the longest wavelength of the wavelength range, and M is the constant multiplicitive factor.
- 10. A product prepared in accordance with the method of claim 9.
- 11. The invention according to claim 9, wherein the first comb filter element has a first wavelength transmission profile and the second comb filter element has a second wavelength transmission profile, wherein the first wavelength transmission profile is complementary to the second wavelength transmission profile.
- 12. The invention according to claim 9, wherein the center position of the stop band of the second comb filter element having the longest wavelength is calculated according to the formula λb=λaM, wherein λb is the center position of the stop band of the second comb filter element having the longest wavelength, λa is the center position of the stop band of the first comb filter element having the longest wavelength, and M is the constant multiplicitive factor.
- 13. The invention according to claim 9, wherein a masking agent is disposed on at least a portion of a surface of the second comb filter element.
- 14. The invention according to claim 9, wherein a dielectric coating is disposed on at least a portion of a surface of the first and second comb filter elements.
- 15. The invention according to claim 14, wherein the dielectric coating is disposed on the at least a portion of the surface of the first comb filter element to a first depth and the dielectric coating is disposed on the at least a portion of the surface of the second comb filter element to a second depth, wherein the difference in the deposition depth of the dielectric coating of the first comb filter element and the second filter element is calculated according to the formula 1-M, wherein M is the constant multiplicitive factor.
- 16. A method for making a complementary comb filter pair, wherein the complementary comb filter pair comprises a first comb filter element having at least one stop band having a center position and a second comb filter element having at least one stop band having a center position, wherein the complementary comb filter pair is to be used to filter electromagnetic radiation having a wavelength range, comprising:
determining a constant multiplicitive factor M, according to the formula M2n=λshort/λlong; wherein n is the number of stop bands of each comb filter of the complementary comb filter pair, λshort is the shortest wavelength of the wavelength range and λlong is the longest wavelength of the wavelength range; calculating the center position of the stop band of the first comb filter element having the longest wavelength according to the formula λa=λlong2M/(M+1); wherein λa is the center position of the stop band of the first comb filter element having the longest wavelength, λlong is the longest wavelength of the wavelength range, and M is the constant multiplicitive factor; and calculating the center position of the stop band of the second comb filter element having the longest wavelength according to the formula λb=λaM; wherein λb is the center position of the stop band of the second comb filter element having the longest wavelength, λa is the center position of the stop band of the first comb filter element having the longest wavelength, and M is the constant multiplicitive factor.
- 17. A product prepared in accordance with the method of claim 16.
- 18. The invention according to claim 16, wherein the first comb filter element has a first wavelength transmission profile and the second comb filter element has a second wavelength transmission profile, wherein the first wavelength transmission profile is complementary to the second wavelength transmission profile.
- 19. The invention according to claim 16, wherein a masking agent is disposed on at least a portion of a surface of the second comb filter element.
- 20. The invention according to claim 16, wherein a dielectric coating is disposed on at least a portion of a surface of the first and second comb filter elements.
- 21. The invention according to claim 20, wherein the dielectric coating is disposed on the at least a portion of the surface of the first comb filter element to a first depth and the dielectric coating is disposed on the at least a portion of the surface of the second comb filter element to a second depth, wherein the difference in the deposition depth of the dielectric coating of the first comb filter element and the second filter element is calculated according to the formula 1-M, wherein M is the constant multiplicitive factor.
GOVERNMENT RIGHTS STATEMENT
[0001] This invention was made with Government support under Contract Nos. F33615-92-C-9501 and F33615-91-C-5550 awarded by the United States Air Force. The Government has certain rights in this invention.