Method and apparatus and for processing ultrafast optical signals

A method for recording a plurality of temporal optical pulse patterns, without the need to synthesize the temporal optical signals to be stored, comprising the steps of:

• mapping a reference pattern and the plurality of temporal optical pulse patterns representing the temporal optical data signal to spatial data patterns using a predetermined time-space scaling law;
• providing the spatial data patterns to a spatial light modulator (SLM) to generate scaled spatial signals of the temporal optical data signals, while arranging the plurality of spatial data patterns onto spatially separate regions;
• illuminating the plurality of spatial data patterns and the reference pattern with a monochromatic light source;
• converting the plurality of scaled spatial signals into Fourier transform spectra having associated angular orientations;
• producing a plurality of interference fringe patterns of the spatial data patterns and the reference pattern with distinct spatial carrier frequencies depending on the angular orientations of the respective patterns;
• and
• recording the plurality of interference fringe patterns with a holographic medium.

A method for recognizing a temporal optical data pattern which was recorded by the steps of mapping a reference pattern and the temporal optical data pattern to spatial data patterns using a predetermined time-space scaling law, providing the spatial data patterns to a spatial light modulator (SLM) to generate scaled spatial signals of the temporal optical data pattern, illuminating the spatial data patterns and reference pattern with a monochromatic light source, converting the scaled spatial signals into Fourier transform spectra, producing interference fringe patterns of the spatial data patterns and reference pattern, and recording the interference fringe patterns with a holographic medium as a recorded temporal optical data pattern, the method comprising the steps of:

• dispersing the temporal optical data pattern from the recorded holographic medium;
• converting the dispersed temporal optical data pattern to a Fourier transform spectrum;
• providing a holographically matched filter storing a plurality of Fourier transform spectra from a plurality of possible data patterns, each one having an associated angular orientation;
• comparing the Fourier transform spectrum with the plurality of Fourier transform spectra stored on the holographically matched filter;
• outputting an optical correlation signal at an angle determined by the angular orientation of the Fourier transform spectrum stored in the holographic matched filter that most closely matches the Fourier transform spectrum of the temporal optical data pattern;
• and
• recognizing the temporal optical data pattern by detecting the position and the output angle of the optical correlation signal using a detector array that detects the position of the correlation signal.

An apparatus for producing holographic matched filters, comprising:

• a spatial-domain modulator for modulating spatial patterns representing temporal optical data signals including a reference signal using a predetermined time-space scaling law;
• a holographic recording medium;
• a lens for converting the modulated spatial patterns into a Fourier spectrum;
• and
• a monochromatic optical source for optically projecting the converted modulated spatial patterns onto a holographic recording medium to generate a holographic matched filter.

An apparatus for producing holographic matched filters for femtosecond optical pulse processing, the apparatus comprising:

• a single-mode diode laser emitting a light beam of wavelength .lambda.;
• a spatial light, modulator, responsive to input temporal-domain femtosecond optical patterns and input reference patterns, for simultaneous generating corresponding scaled images of the temporal-domain femtosecond optical patterns and reference patterns, respectively, using a predetermined time-space scaling law:
• ##EQU3## is a time-space scaling factor associated with the spatial light modulator, .theta. is a diffraction angle associated with the scaled images emitted from the spatial light modulator, c is the speed of light, d is the pitch of the spatial light modulator, .lambda..sub.w is a holographic writing wavelength, .lambda..sub.r is a holographic reading wavelength, f.sub.w is a holographic writing focal length, and f.sub.r is a holographic reading focal length;
• a Fourier transform lens having the holographic writing focal length f.sub.w and positioned at the distance f.sub.w from the spatial light modulator with the spatial light modulator being in the input plane of the Fourier transform lens, the Fourier transform lens for converting the scaled images into a Fourier spectrum signal, the Fourier spectrum signal including interference fringe patterns from the simultaneous scaling of both the temporal-domain femtosecond optical patterns and reference patterns;
• and
• a recording medium, composed of GaAs/AlGaAs multiple quantum well material adapted for recording femtosecond optical pulses and disposed at the distance f.sub.w from the Fourier transform lens with the recording medium being in the output plane of the Fourier transform lens, the recording medium responsive to the Fourier spectrum signal for recording the interference fringe patterns as a hologram of the temporal-domain femtosecond optical patterns and reference patterns, to generate a holographic matched filter responsive to a monochromatic light source providing a reading light beam having a holographic reading wavelength .lambda..sub.r for outputting read-out optical patterns at the holographic reading focal length f.sub.r corresponding to the temporal-domain femtosecond optical patterns.

An apparatus for producing holographic matched filters, the apparatus comprising:

• a light source emitting a light beam of wavelength .lambda.;
• scaling means, responsive to input temporal-domain femtosecond optical patterns and input reference patterns, for simultaneous generating corresponding scaled images of the temporal-domain femtosecond optical patterns and reference patterns, respectively, using a predetermined time-space scaling law:
• ##EQU4## is a time-space scaling factor associated with the scaling means, .theta. is a diffraction angle associated with the scaled images emitted from the scaling means, c is the speed of light, d is the pitch of the scaling means, .lambda..sub.w is a holographic writing wavelength, .lambda..sub.r is a holographic reading wavelength, f.sub.w is a holographic writing focal length, and f.sub.r is a holographic reading focal length;
• a Fourier transform lens having the holographic writing focal length f.sub.w and positioned at the distance f.sub.w from the scaling means, with the scaling means being in the input plane of the Fourier transform lens, the Fourier transform lens for converting the scaled images into a Fourier spectrum signal, the Fourier spectrum signal including interference fringe patterns from the simultaneous scaling of both the temporal-domain femtosecond optical patterns and reference patterns;
• and
• a recording medium adapted for recording femtosecond optical pulses and disposed at the distance f.sub.w from the Fourier transform lens with the recording medium being in the output plane of the Fourier transform lens, the recording medium responsive to the Fourier spectrum signal for recording the interference fringe patterns as a hologram of the temporal-domain femtosecond optical patterns and reference patterns, to generate a holographic matched filter responsive to a monochromatic light source providing a reading light beam having a holographic reading wavelength .lambda..sub.r for outputting read-out optical patterns at the holographic reading focal length f.sub.r corresponding to the temporal-domain femtosecond optical patterns.