We study the Fourier spectral properties of the generalized Fibonacci
lattices generated by a concurrent substitution rule (A --> A(n)B(m),
B --> A). Using the recursion relations of a one-dimensional wavevecto
r q which determine the scaling behavior of the Fourier spectral peaks
, we show that a lattice belonging to the silver mean series (n > 1, m
= 1) contains Bragg peaks while a lattice belonging to the copper mea
n (CM) series (n = 1, m > 1) does not. In the CM lattice (n = 1, m = 2
), we obtain the scaling exponent gamma(q) of the Fourier amplitude an
d show that the order of the periodicity is in between those of the qu
asiperiodic and the Thue-Morse lattices. Performing a multifractal ana
lysis on the Fourier spectra of the CM and nickel mean (n = 1, m = 3)
lattices, we show that these lattices have a singular continuous Fouri
er spectral measure.