Measurement method for optical short-pulse waveform

Claim 2

An optical short-pulse intensity waveform measurement method that finds an autocorrelation waveform of optical short-pulse to be measured by irradiating, at a delay time τ, an optical short-pulse to be measured onto a first photoconductor that enters a conductive state when irradiated by light, and onto a second photoconductor that enters a conductive state only when irradiated by light at a time at which said first photoconductor is also in a conductive state; and characterized by finding a result F(ω) of a Fourier transform of an autocorrelation waveform of optical short-pulse to be measured; and dividing this result by the result of a Fourier transform of a cross-correlated waveform h 12 (τ) of the impulse response waveform h 1 (t) of said first photoconductor and the impulse response waveform h 2 (t) of said second photoconductor to find an intensity power spectrum |I(ω)| 2 from which response characteristics of photoconductors have been eliminated.

Claim 3

An optical short-pulse waveform reproduction method, which is a method of reproducing of a short-pulse waveform to be measured using a field power spectrum |E(ω)| 2 and an intensity power spectrum |I(ω) 2 from which response characteristics of photoconductors have been eliminated by finding a result F(ω) of a Fourier transform of an autocorrelation waveform of optical short-pulse to be measured; and dividing this result by the result of a Fourier transform of a cross-correlated waveform h 12 (τ) of the impulse response waveform h 1 (t) of a first photoconductor and the impulse response waveform h 2 (t) of a second photoconductor; characterized by: calculating the square root of field power spectrum |E(ω) 2 , and representing as |E(ω)| the result of shifting said square root exactly by an amount equal to the center frequency ω 0 of optical short-pulse in the direction of the negative frequency axis, setting an initial value φ i (ω) appropriate to tis phase φ(ω), and finding complex number E(ω) from ωE(ω)| and φ(ω); finding field waveform e(t) in the time domain by inverse fast Fourier transform of complex number E(ω); finding intensity waveform i(t) from the square of the complex absolute value of field waveform e(t); finding a Fourier transform I'(c) of the intensity waveform by a fast Fourier transform of intensity waveform i(t) and making the calculated value of the complex absolute value of this value |I'(ω)|; comparing calculated value |I'(ω)| and measured value |I(ω)|, taking the difference as an error value, gradually microvarying the value of phase φ(ω) such that said error value decreases, and finding phase φ(ω) at which said error is a minimum; and finding complex number E(ω) from |E(ω)| and φ'(ω) and calculating the solution of field waveform e(t) of optical short-pulse by means of an inverse fast Fourier transform, and finding optical short-pulse intensity waveform i(t) from the square of the complex absolute value of e(t) and phase waveform in the time domain from e(t).

Claim 4

An optical short-pulse waveform reproduction method, which is a method of reproducing of a short-pulse waveform to be measured using a field power spectrum |E(ω)| 2 and an intensity power spectrum |I(ω) 2 from which response characteristics of photoconductors have been eliminated by finding a result F(ω) of a Fourier transform of an autocorrelation waveform of optical short-pulse to be measured; and dividing this result by the result of a Fourier transform of a cross-correlated waveform h 12 (τ) of the impulse response waveform h 1 (t) of a first photoconductor and the impulse response waveform h 2 (t) of a second photoconductor; characterized by: calculating the square root of field power spectrum |E(ω) 2 , and representing as |E(ω)| the result of shifting said square root exactly by an amount equal to the center frequency ω 0 of optical short-pulse in the direction of the negative frequency axis, setting an initial value φ i (ω) appropriate to tis phase φ(ω), and finding complex number E(ω) from ωE(ω)| and φ(ω); finding field waveform e(t) in the time domain by inverse fast Fourier transform of complex number E(ω); finding intensity waveform i(t) from the square of the complex absolute value of field waveform e(t); finding a Fourier transform I'(c) of the intensity waveform by a fast Fourier transform of intensity waveform i(t) and making the calculated value of the complex absolute value of this value |I'(ω)|; comparing calculated value |I'(ω)| and measured value |I(ω)|, taking the difference as an error value, gradually microvarying the value of phase φ(ω) such that said error value decreases, and finding phase φ(ω) at which said error is a minimum; and finding complex number E(ω) from |E(ω)| and φ'(ω) and calculating the solution of field waveform e(t) of optical short-pulse by means of an inverse fast Fourier transform, and finding optical short-pulse intensity waveform i(t) from the square of the complex absolute value of e(t) and phase waveform in the time domain from e(t).