A method for dispersion compensation for a composite optical signal in an optical fiber transmission system, the composite optical signal comprising a plurality of channels, each of the plurality of channels comprising a band of wavelengths, wherein the bands of wavelengths comprises dispersion and dispersion slope, comprising the steps of:
- (a) propagating the composite optical signal in a forward direction;
- (b) separating the wavelengths in the band of wavelengths in each of the plurality of channels utilizing a VIPA, wherein the each of the wavelengths in the band is spatially distinguishable from the other wavelengths in the band;
- (c) spatially separating each band of wavelengths in the plurality of channels utilizing a rotatable transmission diffraction grating;
- and
- (d) reflecting the spatially separated bands of wavelengths from different cross-sections of a mirror toward a return direction, wherein the mirror is translationally adjustable, wherein the mirror comprises different curvatures at the different cross-sections, wherein compensatory dispersion and compensatory dispersion slope are added to the reflected bands of wavelengths such that the dispersion and dispersion slope are compensated.