Claims Analysis
Total Claims: 35
Claim 1
Independent Claim
112 words
A method for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: splitting a light beam to be measured into two beams; directing the two beams through different paths to provide a relative path length difference therebetween; recombining said two beams; doubling said recombined beam to produce a second-harmonic beam; processing said doubled beam to obtain spectra distributed at an interval of an interference fringe of a fundamental wave ω 0 ; obtaining a spectrum near DC from among said spectra and calculating an intensity shape I(t) therefrom; and obtaining a spectrum near 2ω 0 from said spectra and calculating a pulse phase therefrom.
Claim 2
Independent Claim
112 words
A method for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: splitting a light beam to be measured into two beams; directing the two beams through different paths to provide a relative path length difference therebetween; recombining said two beams; doubling said recombined beam to produce a second-harmonic beam; processing said doubled beam to obtain spectra distributed at an interval of an interference fringe of a fundamental wave ω 0 ; obtaining a spectrum near DC from among said spectra and calculating an intensity shape I(t) therefrom; and obtaining a spectrum near 2ω 0 from said spectra and calculating a pulse phase therefrom.
Claim 3
Dependent Claim
38 words
A method as in claim 1 wherein said processing step includes Fourier-analyzing said recombined beam to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of said fundamental wave ω 0 .
Claim 4
Dependent Claim
153 words
A method as in claim 1 wherein said processing step and said obtaining a spectrum near DC step and said obtaining a spectrum near 2ω 0 step includes the steps of: converting an intensity of the second-harmonic light into a voltage; determining data indicative of the changes in the intensity of the second-harmonic light caused by said relative path length difference; Fourier-analysing the data thus obtained to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of a fundamental wave; Fourier-transforming the square root of a first spectrum, closest to the zero frequency among said three spectra, in order to reconstruct the intensity shape of the object pulses; and reconstructing the phase of the object pulses by performing iterative calculations using a square root of the spectrum close to the frequency equivalent to double said interference fringe frequency of said fundamental wave and said reconstructed intensity shape.
Claim 5
Dependent Claim
39 words
A method as in claim 1 wherein said processing step includes the steps of low pass filtering said recombined beam to obtain a spectrum near DC, and high pass filtering said recombined beam to obtain a spectrum near AC.
Claim 6
Dependent Claim
187 words
A method as in claim 1 wherein said processing step, said obtaining a spectrum near DC step and said obtaining a spectrum near 2ω 0 step include the further steps of: transforming the intensity of the second-harmonic beam into a voltage; low pass filtering said voltage to extract a frequency component near DC; high pass filtering said voltage to extract a high pass frequency component near a measuring frequency equivalent to two times of an interference fringe frequency of the fundamental wave; measuring amplitudes of said high pass frequency component; recording thus obtained data about the voltage near DC and said high pass voltage in a time sequence while varying said relative path length difference at a constant rate; Fourier-analysing the data on the component near DC among the pair of sampled data trains; performing an inverse Fourier-transformation on the square root of the spectrum to reconstruct the intensity shape of the measured optical pulse; Fourier-analysing the data on the AC voltage; and reconstructing the phase of the measured optical pulse from the square root of the obtained spectrum and the reconstructed intensity shape by iterative computation.
Claim 7
Dependent Claim
30 words
A method as in claim 1 wherein said spectrum near DC corresponds to a Fourier-transformed intensity autocorrelation G 2 (τ) of: ##EQU19## and said intensity shape is obtained as: ##EQU20##
Claim 8
Dependent Claim
35 words
A method is in claim 1 wherein said spectrum near 2ω 0 corresponds to |s(ω)| 2 , and the pulse phase is calculated by performing an iterative calculation according to: =arg {F|S|arg (F[I exp (2iφ.sub.k)])}(14)
Claim 9
Independent Claim
111 words
A method for measuring ultrashort optical pulses which are repetitive pulses at a fixed time interval comprising the steps of: splitting a light beam to be measured into two beams; recombining said two split light beams while providing relative path length differences therebetween; doubling said recombined beam to form a second-harmonic bean; transforming intensities of a fundamental wave and said second-harmonic beam into electric signals proportional thereto; recording changes in intensities of the fundamental wave and the second-harmonic light which are caused by said difference in said relative light path length; and performing a Fourier-analysis on the recorded data to obtain the intensity shape and phase shape of the measured pulse.
Claim 10
Independent Claim
111 words
A method for measuring ultrashort optical pulses which are repetitive pulses at a fixed time interval comprising the steps of: splitting a light beam to be measured into two beams; recombining said two split light beams while providing relative path length differences therebetween; doubling said recombined beam to form a second-harmonic bean; transforming intensities of a fundamental wave and said second-harmonic beam into electric signals proportional thereto; recording changes in intensities of the fundamental wave and the second-harmonic light which are caused by said difference in said relative light path length; and performing a Fourier-analysis on the recorded data to obtain the intensity shape and phase shape of the measured pulse.
Claim 11
Dependent Claim
101 words
The method for measuring ultrashort optical pulses as claimed in claim 8 comprising the further steps of obtaining a Fourier-transformed electric field of the measured optical pulse from the Fourier-analysed data on intensity change of the fundamental wave as the spectrum near the frequency of the fundamental wave ω 0 , obtaining a Fourier-transformed electric field of the second-harmonic light from the Fourier-analysed data on the intensity changes of the second-harmonic light as the spectrum near 2ω 0 , obtaining Fourier-transformed intensity of the measured optical pulse as the spectrum near zero frequency, and performing iterative computation using said three Fourier-transformations.
Claim 12
Dependent Claim
29 words
Apparatus as in claim 8 wherein said spectrum near DC corresponds to a Fourier-transformed intensity autocorrelation G 2 (τ) of: ##EQU21## and said intensity shape is obtained as: ##EQU22##
Claim 13
Dependent Claim
35 words
A method as in claim 8 wherein said spectrum near 2ω 0 corresponds to |s(ω)| 2 , and the pulse phase is calculated by performing an iterative calculation according to: =arg F|S|arg (F[I exp (2iφ.sub.k)])
Claim 14
Independent Claim
170 words
A method for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: splitting a light beam to be measured into two beams; directing the two beams through different paths to provide a relative path length difference therebetween; recombining said two beams; doubling said recombined beam to produce a second-harmonic beam; determining data indicative of the changes in the intensity of the second-harmonic light caused by said relative path length difference; Fourier-analysing the data thus obtained to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of a fundamental wave; Fourier-transforming the square root of a first spectrum, closest to the zero frequency among said three spectra, in order to reconstruct the intensity shape of the object pulses; and reconstructing the phase of the object pulses by performing iterative calculations using a square root of the spectrum close to the frequency equivalent to double said interference fringe frequency of said fundamental wave and said reconstructed intensity shape.
Claim 15
Independent Claim
170 words
A method for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: splitting a light beam to be measured into two beams; directing the two beams through different paths to provide a relative path length difference therebetween; recombining said two beams; doubling said recombined beam to produce a second-harmonic beam; determining data indicative of the changes in the intensity of the second-harmonic light caused by said relative path length difference; Fourier-analysing the data thus obtained to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of a fundamental wave; Fourier-transforming the square root of a first spectrum, closest to the zero frequency among said three spectra, in order to reconstruct the intensity shape of the object pulses; and reconstructing the phase of the object pulses by performing iterative calculations using a square root of the spectrum close to the frequency equivalent to double said interference fringe frequency of said fundamental wave and said reconstructed intensity shape.
Claim 16
Independent Claim
207 words
A method for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: splitting a light beam to be measured into two beams; directing the two beams through different paths to provide a relative path length difference therebetween; recombining said two beams; doubling said recombined beam to form a second-harmonic beam; low pass filtering said voltage to extract a frequency component near DC; high pass filtering said voltage to extract a high pass frequency component near a measuring frequency equivalent to two times of an interference fringe frequency of the fundamental wave ω 0 ; measuring said high pass frequency component; recording thus obtained data about said frequency component near DC and said high pass frequency component in a time sequence while varying said relative path length difference at a constant rate; Fourier-analyzing the data on said component near DC among the pair of sampled data trains; performing an inverse Fourier-transformation on the square root of the spectrum to reconstruct the intensity shape of the measured optical pulse; Fourier-analyzing the data on the AC voltage; and reconstructing the phase of the measured optical pulse from the square root of the obtained spectrum and the reconstructed intensity shape by iterative computation.
Claim 17
Independent Claim
207 words
A method for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: splitting a light beam to be measured into two beams; directing the two beams through different paths to provide a relative path length difference therebetween; recombining said two beams; doubling said recombined beam to form a second-harmonic beam; low pass filtering said voltage to extract a frequency component near DC; high pass filtering said voltage to extract a high pass frequency component near a measuring frequency equivalent to two times of an interference fringe frequency of the fundamental wave ω 0 ; measuring said high pass frequency component; recording thus obtained data about said frequency component near DC and said high pass frequency component in a time sequence while varying said relative path length difference at a constant rate; Fourier-analyzing the data on said component near DC among the pair of sampled data trains; performing an inverse Fourier-transformation on the square root of the spectrum to reconstruct the intensity shape of the measured optical pulse; Fourier-analyzing the data on the AC voltage; and reconstructing the phase of the measured optical pulse from the square root of the obtained spectrum and the reconstructed intensity shape by iterative computation.
Claim 18
Dependent Claim
21 words
A method as in claim 13 wherein said Fourier-transformed intensity and said Fourier-transformed electric field are calculated from the equations: ##EQU23##
Claim 19
Independent Claim
115 words
An apparatus for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising: a Michelson inferometer, receiving a light beam to be measured and producing a recombined output beam; crystal means for doubling said recombined output to produce a second-harmonic beam; fringe extraction means for processing said recombined beam to obtain spectra distributed at an interval of an interference fringe of a fundamental wave ω 0 ; and filter means for obtaining a spectrum near DC and a spectrum near 2ω 0 from among said spectra; and means for calculating an intensity shape I(t) from said spectrum near DC and calculating a pulse phase from said spectrum near 2ω 0 .
Claim 20
Independent Claim
115 words
An apparatus for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising: a Michelson inferometer, receiving a light beam to be measured and producing a recombined output beam; crystal means for doubling said recombined output to produce a second-harmonic beam; fringe extraction means for processing said recombined beam to obtain spectra distributed at an interval of an interference fringe of a fundamental wave ω 0 ; and filter means for obtaining a spectrum near DC and a spectrum near 2ω 0 from among said spectra; and means for calculating an intensity shape I(t) from said spectrum near DC and calculating a pulse phase from said spectrum near 2ω 0 .
Claim 21
Dependent Claim
41 words
An apparatus as in claim 15 wherein said fringe extracting means includes means for Fourier-analyzing said recombined beam to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of said fundamental wave ω 0 .
Claim 22
Dependent Claim
155 words
An apparatus as in claim 15 wherein said fringe extracting means includes: (a) means for converting an intensity of the second-harmonic light into a voltage; (b) means for determining data indicative of the changes in the intensity of the second-harmonic light caused by said relative path length difference; and (c) means for Fourier-analyzing the data thus obtained to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of a fundamental wave; and said calculating means comprises: (a) means for Fourier-transforming the square root of a first spectrum, closest to the zero frequency among said three spectra, in order to reconstruct the intensity shape of the object pulses; and (b) means for reconstructing the phase of the object pulses by performing iterative calculations using a square root of the spectrum close to the frequency equivalent to double said interference fringe frequency of said fundamental wave and said reconstructed intensity shape.
Claim 23
Dependent Claim
43 words
Apparatus as in claim 15 wherein said filtering means includes LPF means for low pass filtering said recombined beam to obtain a spectrum near DC, and HPF means for high pass filtering said recombined beam to obtain a spectrum near 2ω 0 .
Claim 24
Dependent Claim
196 words
Apparatus as in claim 15, wherein said filtering means comprises: means for transforming the intensity of the second-harmonic beam into a voltage; means for low pass filtering said voltage to extract a frequency component near DC; and means for high pass filtering said voltage to extract a high pass frequency component near a measuring frequency equivalent to two times of an interference fringe frequency of the fundamental wave; and said calculating means includes (a) means for measuring amplitudes of said high pass frequency component; (b) means for recording thus obtained data about the voltage near DC and said high pass voltage in a time sequence while varying said relative path length difference at a constant rate; (c) means for Fourier-analyzing the data on the component near DC among the pair of sampled data trains; (d) means for performing an inverse Fourier-transformation on the square root of the spectrum to reconstruct the intensity shape of the measured optical pulse; (e) means for Fourier-analyzing the data on the AC voltage, and (f) means for reconstructing the phrase of the measured optical impulse from the square root of the obtained spectrum and the reconstructed intensity shape by iterative computation.
Claim 25
Dependent Claim
29 words
Apparatus as in claim 15 wherein said spectrum near DC corresponds to a Fourier-transformed intensity autocorrelation G 2 (τ) of: ##EQU24## and said intensity shape is obtained as: ##EQU25##
Claim 26
Dependent Claim
35 words
An apparatus as in claim 15 wherein said spectrum near 2ω 0 corresponds to |s(ω)| 2 , and the pulse phase is calculated by performing an iterative calculation according to: =arg {F|S|arg (F[I exp (2iφ)])}(14)
Claim 27
Dependent Claim
47 words
An apparatus as in claim 15 wherein said Michelson inferometer comprises: means for splitting a light beam to be measured into two beams; means for directing the two beams through different paths to provide a relative path length difference therebetween; and means for recombining said two beams.
Claim 28
Independent Claim
119 words
An apparatus for measuring ultrashort optical pulses which are repetitive pulses at a fixed time interval comprising: means for splitting a light beam to be measured into two beams; means for recombining said two split light beams while providing relative path length differences therebetween; means for doubling said recombined beam to form a second-harmonic beam; means for transforming intensities of a fundamental wave and said second-harmonic beam into electric signals proportional thereto; and means for recording changes in intensities of the fundamental wave and the second-harmonic light which are caused by said difference in said relative light path length and performing a Fourier-analysis on the recorded data to obtain the intensity shape and phase shape of the measured pulse.
Claim 29
Independent Claim
119 words
An apparatus for measuring ultrashort optical pulses which are repetitive pulses at a fixed time interval comprising: means for splitting a light beam to be measured into two beams; means for recombining said two split light beams while providing relative path length differences therebetween; means for doubling said recombined beam to form a second-harmonic beam; means for transforming intensities of a fundamental wave and said second-harmonic beam into electric signals proportional thereto; and means for recording changes in intensities of the fundamental wave and the second-harmonic light which are caused by said difference in said relative light path length and performing a Fourier-analysis on the recorded data to obtain the intensity shape and phase shape of the measured pulse.
Claim 30
Dependent Claim
97 words
The apparatus for measuring ultrashort optical pulses as claimed in claim 23 wherein said recording means comprises means for (a) obtaining a Fourier-transformed electric field of the measured optical pulse from the Fourier-analyzed data on intensity change of the fundamental wave ω 0 , (b) obtaining a Fourier-transformed electric field of the second-harmonic light from the Fourier-analyzed data on the intensity changes of the second-harmonic light as the spectrum near 2ω 0 , (c) obtaining Fourier-transformed intensity of the measured optical pulse as the spectrum near zero frequency, and (d) performing iterative computation using said three Fourier-transformations.
Claim 31
Independent Claim
183 words
An apparatus for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising: means for splitting a light beam to be measure into two beams; means for directing the two beams through different paths to provide a relative path length difference therebetween; means for recombining said two beams; means for doubling said recombined beam to produce a second-harmonic beam; and calculating means for (1) determining data indicative of the changes in the intensity of the second-harmonic light caused by said relative path length difference, (2) Fourier-analyzing the data thus obtained to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of a fundamental wave, (3) Fourier-transforming the square root of a first spectrum, closest to the zero frequency among said three spectra, in order to reconstruct the intensity shape of the object pulses, and (4) reconstructing the phase of the object pulses by performing iterative calculations using a square root of the spectrum close to the frequency equivalent to double said interference fringe frequency of said fundamental wave and said reconstructed intensity shape.
Claim 32
Independent Claim
183 words
An apparatus for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising: means for splitting a light beam to be measure into two beams; means for directing the two beams through different paths to provide a relative path length difference therebetween; means for recombining said two beams; means for doubling said recombined beam to produce a second-harmonic beam; and calculating means for (1) determining data indicative of the changes in the intensity of the second-harmonic light caused by said relative path length difference, (2) Fourier-analyzing the data thus obtained to obtain three spectra distributed at an interval equivalent to a frequency of an interference fringe of a fundamental wave, (3) Fourier-transforming the square root of a first spectrum, closest to the zero frequency among said three spectra, in order to reconstruct the intensity shape of the object pulses, and (4) reconstructing the phase of the object pulses by performing iterative calculations using a square root of the spectrum close to the frequency equivalent to double said interference fringe frequency of said fundamental wave and said reconstructed intensity shape.
Claim 33
Independent Claim
55 words
An apparatus for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: means for (a) splitting a light beam to be measured into two beams, (b) directing the two beams through different paths to provide a relative path length difference therebetween, and (c) recombining said two beams;
Claim 34
Independent Claim
55 words
An apparatus for measuring ultrashort optical pulses, which are repetitive pulses at a fixed time interval, comprising the steps of: means for (a) splitting a light beam to be measured into two beams, (b) directing the two beams through different paths to provide a relative path length difference therebetween, and (c) recombining said two beams;
Claim 35
Dependent Claim
21 words
An apparatus as in claim 26 wherein said transformed intensity and said Fourier-transformed electric field are calculated from the equations: ##EQU26##