Dispersion equalized optical fiber link

Claim 2

A technique for synthesizing an optical fiber of length L which induces substantially zero dispersion at a wavelength W' included between first and second wavelengths W1 and W2, said fiber including first and second segments of variable lengths L 1 and L 2 having substantially zero dispersion at the wavelengths W1 and W2 and first-order dispersion characteristics D 1 and D 2 as functions of wavelength W, where D.sub.1 =M.sub.1 (W-W1)L.sub.1, and D.sub.2 =M.sub.2 (W-W2)L.sub.2, wherein M 1 and M 2 are positive constants, comprising the steps of: a) adjusting the length L 1 or the first segment such that ##EQU3## and b) adjusting the length L 2 of the second segment such that L 2 =L-L 1 .

Claim 3

A technique for synthesizing an optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, said fiber including first and second segments of variable lengths L 1 and L 2 wherein said first segment has a zero dispersion wavelength of W1 and a positively sloped first order dispersion characteristic D 1 , and said second segment has a zero dispersion wavelength W1 and a negatively sloped dispersion characteristic D 2 , as functions of wavelength W, where D.sub.1 =M.sub.1 (W-W1)L.sub.1, and D.sub.2 =-M.sub.2 (W-W1)L.sub.2 over said wavelength spectrum and wherein M 1 and M 2 are positive constants, comprising the steps of: a) adjusting the length L 1 of the first segment such that L 1 =L(M 2 /M 1 )/(1+M 2 /M 1 ) and b) adjusting the length L 2 of the second segment such that L 2 =L-L 1 .

Claim 4

A technique for synthesizing an optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, said fiber including first and second segments of variable lengths L 1 and L 2 wherein said first segment has a zero dispersion wavelength of W1 and a positively sloped first order dispersion characteristic D 1 , and said second segment has a zero dispersion wavelength W1 and a negatively sloped dispersion characteristic D 2 , as functions of wavelength W, where D.sub.1 =M.sub.1 (W-W1)L.sub.1, and D.sub.2 =-M.sub.2 (W-W1)L.sub.2 over said wavelength spectrum and wherein M 1 and M 2 are positive constants, comprising the steps of: a) adjusting the length L 1 of the first segment such that L 1 =L(M 2 /M 1 )/(1+M 2 /M 1 ) and b) adjusting the length L 2 of the second segment such that L 2 =L-L 1 .

Claim 5

A technique for synthesizing an optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, said fiber including first, second and third segments of variable lengths L 1 , L 2 , and L 3 such that L=L 1 +L 2 +L 3 wherein said first and second segments have zero dispersion wavelengths of W1, W2 and positively sloped first order dispersion characteristics D 1 , D 2 and said third segment has zero dispersion wavelength W3 and negatively sloped first order dispersion characteristic D 3 , as functions of wavelength W, where W2>W3>W1 and D.sub.1 =M.sub.1 (W-W1)L.sub.1, D.sub.2 =M.sub.2 (W-W2)L.sub.2, and D.sub.3 =-M.sub.3 (W-W3)L.sub.3 over said wavelength spectrum and wherein M 1 , M 2 and M 3 are positive constants, comprising the steps of: a) adjusting the length L 1 or the first segment such that L 1 =(L/D)(M 2 M 3 (W2-W3), where D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3); b) adjusting the length L 2 of the second segment such that L 2 =(L/D)(M 1 M 3 (W3-W1) where D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3); and c) adjusting the length L 3 of the third segment such that L 3 =(L/D)(M 1 M 2 (W2-W1), where D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3).

Claim 6

A technique for synthesizing an optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, said fiber including first, second and third segments of variable lengths L 1 , L 2 , and L 3 such that L=L 1 +L 2 +L 3 wherein said first and second segments have zero dispersion wavelengths of W1, W2 and positively sloped first order dispersion characteristics D 1 , D 2 and said third segment has zero dispersion wavelength W3 and negatively sloped first order dispersion characteristic D 3 , as functions of wavelength W, where W2>W3>W1 and D.sub.1 =M.sub.1 (W-W1)L.sub.1, D.sub.2 =M.sub.2 (W-W2)L.sub.2, and D.sub.3 =-M.sub.3 (W-W3)L.sub.3 over said wavelength spectrum and wherein M 1 , M 2 and M 3 are positive constants, comprising the steps of: a) adjusting the length L 1 or the first segment such that L 1 =(L/D)(M 2 M 3 (W2-W3), where D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3); b) adjusting the length L 2 of the second segment such that L 2 =(L/D)(M 1 M 3 (W3-W1) where D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3); and c) adjusting the length L 3 of the third segment such that L 3 =(L/D)(M 1 M 2 (W2-W1), where D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3).

Claim 7

An optical fiber of length L inducing substantially zero dispersion at a wavelength W' included between first and second wavelengths W1 and W2, comprising first and second optical fiber segments of lengths L 1 and L 2 having substantially zero dispersion at the wavelengths W1 and W2, and having first order dispersion characteristics D 1 =M 1 (W-W1)L 1 and D 2 =M 2 (W-W2)L 2 wherein M 1 and M 2 are positive constants and wherein the lengths L 1 and L 2 substantially satisfy the relationships: ##EQU4##

Claim 8

An optical fiber of length L inducing substantially zero dispersion at a wavelength W' included between first and second wavelengths W1 and W2, comprising first and second optical fiber segments of lengths L 1 and L 2 having substantially zero dispersion at the wavelengths W1 and W2, and having first order dispersion characteristics D 1 =M 1 (W-W1)L 1 and D 2 =M 2 (W-W2)L 2 wherein M 1 and M 2 are positive constants and wherein the lengths L 1 and L 2 substantially satisfy the relationships: ##EQU4##

Claim 9

An optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, comprising first and second optical fiber segments of lengths L 1 and L 2 with each segment having a zero dispersion wavelength of W1 and respective first order dispersion characteristics D.sub.1 =M.sub.1 (W-W1)L.sub.1, and D.sub.2 =-M.sub.2 (W-W1)L.sub.2 over said wavelength spectrum, wherein M 1 and M 2 are positive constants and wherein L 1 =L(M 2 /M 1 )/(1+M 2 /M 1 ) and L 2 =L-L 1 .

Claim 10

An optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, comprising first and second optical fiber segments of lengths L 1 and L 2 with each segment having a zero dispersion wavelength of W1 and respective first order dispersion characteristics D.sub.1 =M.sub.1 (W-W1)L.sub.1, and D.sub.2 =-M.sub.2 (W-W1)L.sub.2 over said wavelength spectrum, wherein M 1 and M 2 are positive constants and wherein L 1 =L(M 2 /M 1 )/(1+M 2 /M 1 ) and L 2 =L-L 1 .

Claim 11

An optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, said fiber comprising first, second and third optical fiber segments having lengths L 1 , L 2 and L 3 , zero dispersion wavelengths W1, W2 and W3, where W2>W3>W1, and respective first order dispersion characteristics D.sub.1 =M.sub.1 (W-W1)L.sub.1, D.sub.2 =M.sub.2 (W-W2)L.sub.2, and D.sub.3 =-M.sub.3 (W-W3)L.sub.3 over the first wavelength spectrum, wherein M 1 , M 2 and M 3 are positive constants and wherein L.sub.1 =(L/D)(M.sub.2 M.sub.3 (W2-W3)), L.sub.2 =(L/D)(M.sub.1 M.sub.3 (W3-W1)), and L.sub.3 =(L/D)(M.sub.1 M.sub.2 (W2-W1)), with D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3).

Claim 12

An optical fiber of length L having a dispersion characteristic substantially equal to zero over a spectrum of wavelengths, said fiber comprising first, second and third optical fiber segments having lengths L 1 , L 2 and L 3 , zero dispersion wavelengths W1, W2 and W3, where W2>W3>W1, and respective first order dispersion characteristics D.sub.1 =M.sub.1 (W-W1)L.sub.1, D.sub.2 =M.sub.2 (W-W2)L.sub.2, and D.sub.3 =-M.sub.3 (W-W3)L.sub.3 over the first wavelength spectrum, wherein M 1 , M 2 and M 3 are positive constants and wherein L.sub.1 =(L/D)(M.sub.2 M.sub.3 (W2-W3)), L.sub.2 =(L/D)(M.sub.1 M.sub.3 (W3-W1)), and L.sub.3 =(L/D)(M.sub.1 M.sub.2 (W2-W1)), with D=M 1 M 2 (W2-W1)+M 1 M 3 (W3-W1)+M 2 M 3 (W2-W3).