Abstract
We present a method to measure the spectrally-resolved transmission matrix of a multiply scattering medium, thus allowing for the deterministic spatiospectral control of a broadband light source by means of wavefront shaping. As a demonstration, we show how the medium can be used to selectively focus one or many spectral components of a femtosecond pulse, and how it can be turned into a controllable dispersive optical element to spatially separate different spectral components to arbitrary positions.
Highlights
In this work, we show that we are able to measure the multispectral transmission matrix (MSTM) of a complex medium - i.e. the tridimensional matrix that is essentially a set of monochromatic TMs - for several chosen wavelengths
In order to measure the full MSTM, the laser is operated in continuous wave (CW) mode at a given wavelength followed by the procedure for measuring the monochromatic TM of the medium[12]; this step is reiterated at every desired wavelength by changing the laser wavelength
The first most straightforward use of the MSTM is as a set of monochromatic TMs to focus light at a specific wavelength through a strongly scattering medium by phase conjugation, as CW or pulsed mode, is expanded by a telescope (T) to illuminate a two-dimensional phase-only spatial light modulator (SLM) operated in reflection
Summary
We show that we are able to measure the multispectral transmission matrix (MSTM) of a complex medium - i.e. the tridimensional matrix that is essentially a set of monochromatic TMs - for several chosen wavelengths. We show that we are able to retrieve the spectral correlation bandwidth of the medium from the spectral correlations in the MSTM. Exploiting the MSTM, we can achieve efficient and deterministic spatiospectral control of a broadband and spatially coherent light source, here a femtosecond pulse, by spatial-only wavefront shaping. The MSTM gives mores flexibility than both the optimization[27, 28] and the pulse shaping approach[30] to control separately and individually spatial and spectral components of the output fields. We demonstrate selective spatial focusing of a given wavelength as well as multispectral focusing. We show that the medium can be turned into a controllable dispersive optical element to focus different spectral components of the pulse at different spatial positions, to a grating[31, 32]
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