Claims Analysis
Total Claims: 5
Claim 1
Independent Claim
259 words
A tunable optical filter comprising: an arrayed-waveguide grating router having an input waveguide group composed of M·N waveguides and an output waveguide group composed of M·N waveguides, wherein M and N are each natural numbers greater than or equal to two; an input optical path; an optical path connection means for connecting said input optical path with one of M waveguides labeled x j in said input waveguide group wherein j=1, 2, . . . , M, and x j is defined by the following equation: ##EQU4## wherein x and a i are natural numbers and i=0, 1, . . . , r-1; an optical path selection means for selecting one of N waveguides labeled y j in said output waveguide group wherein j=1, 2, . . . , N, and y j is defined by the following equation: ##EQU5## wherein y and b i are natural numbers and i=0, 1, . . . , r; and numerical series p 0 , p 1 , . . . , p r is composed of r+1 different factors of M such that p 0 =1, P r =M, p k <p k+1 and P k is a factor of p k+1 and numerical series q 0 , q 1 , . . . , q r+1 is composed of r+2 factors of N such that q 0 =1, q r+1 =N, q k ≦q k+1 and q k is a factor of q k+1 , wherein k is either zero or a natural number and r is a natural number.
Claim 2
Dependent Claim
259 words
A tunable optical filter comprising: an arrayed-waveguide grating router having an input waveguide group composed of M·N waveguides and an output waveguide group composed of M·N waveguides, wherein M and N are each natural numbers greater than or equal to two; an input optical path; an optical path connection means for connecting said input optical path with one of M waveguides labeled x j in said input waveguide group wherein j=1, 2, . . . , M, and x j is defined by the following equation: ##EQU4## wherein x and a i are natural numbers and i=0, 1, . . . , r-1; an optical path selection means for selecting one of N waveguides labeled y j in said output waveguide group wherein j=1, 2, . . . , N, and y j is defined by the following equation: ##EQU5## wherein y and b i are natural numbers and i=0, 1, . . . , r; and numerical series p 0 , p 1 , . . . , p r is composed of r+1 different factors of M such that p 0 =1, P r =M, p k <p k+1 and P k is a factor of p k+1 and numerical series q 0 , q 1 , . . . , q r+1 is composed of r+2 factors of N such that q 0 =1, q r+1 =N, q k ≦q k+1 and q k is a factor of q k+1 , wherein k is either zero or a natural number and r is a natural number.
Claim 3
Dependent Claim
269 words
A tunable optical filter comprising: an arrayed-waveguide grating router, with a router connectivity which has a periodicity of M·N, having an input waveguide group composed of M·N waveguides and an output waveguide group composed of M·N waveguides, wherein M and N are each natural numbers greater than or equal to two; an input optical path; an optical path connection means for connecting said input optical path with one of M waveguides labeled x' j in said input waveguide group wherein j=1, 2, . . . , M, and x' j =1+Mod (x j -1, M·N); and an optical path selection means for selecting one of N waveguides labeled y' j in said output waveguide group wherein j=1, 2, . . . , N, and y' j =1+Mod (y j -1, M·N); wherein ##EQU6## wherein x and a i are natural numbers and i=0, 1, . . . , r-1; ##EQU7## wherein y and b i are natural numbers and i=0, 1, . . . , r; and numerical series p 0 , p 1 , . . . , p r is composed of r+1 different factors of M such that P 0 =1, P r =M, P k <P k+1 and P k is a factor of P k+1 and numerical series q 0 , q 1 , . . . , q r+1 is composed of r +2 factors of N such that q 0 =1, q r+1=N , q k ≦q k+1 and q k is a factor of q k+1 wherein k is either zero or a natural number and r is a natural number.
Claim 4
Dependent Claim
269 words
A tunable optical filter comprising: an arrayed-waveguide grating router, with a router connectivity which has a periodicity of M·N, having an input waveguide group composed of M·N waveguides and an output waveguide group composed of M·N waveguides, wherein M and N are each natural numbers greater than or equal to two; an input optical path; an optical path connection means for connecting said input optical path with one of M waveguides labeled x' j in said input waveguide group wherein j=1, 2, . . . , M, and x' j =1+Mod (x j -1, M·N); and an optical path selection means for selecting one of N waveguides labeled y' j in said output waveguide group wherein j=1, 2, . . . , N, and y' j =1+Mod (y j -1, M·N); wherein ##EQU6## wherein x and a i are natural numbers and i=0, 1, . . . , r-1; ##EQU7## wherein y and b i are natural numbers and i=0, 1, . . . , r; and numerical series p 0 , p 1 , . . . , p r is composed of r+1 different factors of M such that P 0 =1, P r =M, P k <P k+1 and P k is a factor of P k+1 and numerical series q 0 , q 1 , . . . , q r+1 is composed of r +2 factors of N such that q 0 =1, q r+1=N , q k ≦q k+1 and q k is a factor of q k+1 wherein k is either zero or a natural number and r is a natural number.
Claim 5
Dependent Claim
52 words
A tunable optical filter according to claim 1 or claim 2, wherein said arrayed-waveguide grating router is constructed such that at least one of the waveguides among said input waveguide group and said output waveguide group which are not connected to said optical connection means or said optical selection means is omitted.