A system for facilitating estimation of a spatial profile of an environment, the system including: a light source configured to provide light at selected one or more of multiple wavelength channels, the light having at least one time-varying attribute; a beam director including an angularly dispersive element (308, 308C, 308D, 308E, 308F, 308G) and an aperture and configured to: spatially direct outgoing light through the aperture into the environment and receive at least part of the outgoing light reflected by the environment, the outgoing light to be directed through: a first portion of the the aperture in a first direction of multiple directions into the environment along a first dimension, the first direction corresponding to the outgoing light at a first selected wavelength channel(λ A); and a second portion of the aperture in a second direction of the multiple directions into the environment along the first dimension, the second direction corresponding to the outgoing light at a second selected wavelength channel (λ B), the second portion spatially overlapping with the first portion; wherein the angularly dispersive element includes: one or more diffraction grating adjustably tiltable to direct the outgoing light along a second dimension, the second dimension being substantially orthogonal to the first dimension; a light detector configured to detect the reflected light; and a processing unit configured to determine at least one characteristic associated with the at least one time-varying attribute of the reflected light for estimation of the spatial profile of the environment () 110 associated with the first direction and the second direction. a light source configured to provide light at selected one or more of multiple wavelength channels, the light having at least one time-varying attribute; a beam director including an angularly dispersive element (308, 308C, 308D, 308E, 308F, 308G) and an aperture and configured to: spatially direct outgoing light through the aperture into the environment and receive at least part of the outgoing light reflected by the environment, the outgoing light to be directed through: a first portion of the the aperture in a first direction of multiple directions into the environment along a first dimension, the first direction corresponding to the outgoing light at a first selected wavelength channel(λ A); and a second portion of the aperture in a second direction of the multiple directions into the environment along the first dimension, the second direction corresponding to the outgoing light at a second selected wavelength channel (λ B), the second portion spatially overlapping with the first portion; a first portion of the the aperture in a first direction of multiple directions into the environment along a first dimension, the first direction corresponding to the outgoing light at a first selected wavelength channel(λ A); and a second portion of the aperture in a second direction of the multiple directions into the environment along the first dimension, the second direction corresponding to the outgoing light at a second selected wavelength channel (λ B), the second portion spatially overlapping with the first portion; wherein the angularly dispersive element includes: one or more diffraction grating adjustably tiltable to direct the outgoing light along a second dimension, the second dimension being substantially orthogonal to the first dimension; a light detector configured to detect the reflected light; and a processing unit configured to determine at least one characteristic associated with the at least one time-varying attribute of the reflected light for estimation of the spatial profile of the environment () 110 associated with the first direction and the second direction.