EP0619032A4 - Optical interferometer with squeezed vacuum and reduced guided-acoustic-wave brillouin scattering noise. - Google Patents
Optical interferometer with squeezed vacuum and reduced guided-acoustic-wave brillouin scattering noise.Info
- Publication number
- EP0619032A4 EP0619032A4 EP19930906030 EP93906030A EP0619032A4 EP 0619032 A4 EP0619032 A4 EP 0619032A4 EP 19930906030 EP19930906030 EP 19930906030 EP 93906030 A EP93906030 A EP 93906030A EP 0619032 A4 EP0619032 A4 EP 0619032A4
- Authority
- EP
- European Patent Office
- Prior art keywords
- pulses
- beam splitter
- sub
- loop
- local oscillator
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Ceased
Links
- 230000003287 optical effect Effects 0.000 title claims description 25
- 238000005259 measurement Methods 0.000 claims abstract description 25
- 230000003595 spectral effect Effects 0.000 claims abstract description 15
- 230000010363 phase shift Effects 0.000 claims description 30
- 239000013307 optical fiber Substances 0.000 claims description 28
- 230000000694 effects Effects 0.000 claims description 6
- 238000000034 method Methods 0.000 claims description 4
- 230000001427 coherent effect Effects 0.000 claims 2
- 238000004519 manufacturing process Methods 0.000 claims 1
- 239000000835 fiber Substances 0.000 abstract description 34
- 238000010586 diagram Methods 0.000 description 12
- 239000013078 crystal Substances 0.000 description 5
- 238000001514 detection method Methods 0.000 description 5
- 239000013598 vector Substances 0.000 description 5
- 239000000523 sample Substances 0.000 description 3
- 230000004075 alteration Effects 0.000 description 2
- 230000015556 catabolic process Effects 0.000 description 2
- 238000006731 degradation reaction Methods 0.000 description 2
- 230000006872 improvement Effects 0.000 description 2
- 238000012986 modification Methods 0.000 description 2
- 230000004048 modification Effects 0.000 description 2
- 230000001629 suppression Effects 0.000 description 2
- 238000012935 Averaging Methods 0.000 description 1
- 230000001795 light effect Effects 0.000 description 1
- 238000007620 mathematical function Methods 0.000 description 1
- 239000000203 mixture Substances 0.000 description 1
- 230000009022 nonlinear effect Effects 0.000 description 1
- 230000001902 propagating effect Effects 0.000 description 1
- 230000001960 triggered effect Effects 0.000 description 1
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J9/00—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength
- G01J9/02—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength by interferometric methods
-
- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/35—Non-linear optics
- G02F1/3515—All-optical modulation, gating, switching, e.g. control of a light beam by another light beam
- G02F1/3517—All-optical modulation, gating, switching, e.g. control of a light beam by another light beam using an interferometer
- G02F1/3519—All-optical modulation, gating, switching, e.g. control of a light beam by another light beam using an interferometer of Sagnac type, i.e. nonlinear optical loop mirror [NOLM]
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
- G01J9/00—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength
- G01J9/02—Measuring optical phase difference; Determining degree of coherence; Measuring optical wavelength by interferometric methods
- G01J2009/0226—Fibres
-
- G—PHYSICS
- G02—OPTICS
- G02F—OPTICAL DEVICES OR ARRANGEMENTS FOR THE CONTROL OF LIGHT BY MODIFICATION OF THE OPTICAL PROPERTIES OF THE MEDIA OF THE ELEMENTS INVOLVED THEREIN; NON-LINEAR OPTICS; FREQUENCY-CHANGING OF LIGHT; OPTICAL LOGIC ELEMENTS; OPTICAL ANALOGUE/DIGITAL CONVERTERS
- G02F1/00—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics
- G02F1/01—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour
- G02F1/21—Devices or arrangements for the control of the intensity, colour, phase, polarisation or direction of light arriving from an independent light source, e.g. switching, gating or modulating; Non-linear optics for the control of the intensity, phase, polarisation or colour by interference
- G02F1/211—Sagnac type
Definitions
- This invention relates to fiber optics. More particularly, the invention relates to fiber optic interferometric detectors which employ light squeezing.
- Shot noise is quantum noise. Shot noise exists because the rate of photons in a light beam is not uniform but is random to a certain extent. The smallest increment with which the phase or amplitude of a light beam can be determined, i.e., the accuracy of phase or amplitude determination, is limited by shot noise. For example, in a fiber optic interferometer in which two light pulses are compared to each other by a balanced detector after they counter propagate through an optical fiber loop, the accuracy of the balanced detector in detecting a phase difference between the two pulses is limited by the shot noise of the system.
- Optical squeezing is a method for reducing the effect of shot noise.
- the index of refraction of the fiber varies slightly for different intensities. This difference in index of refraction causes the speed at which photons of different intensities travel through the fiber to be different, resulting in relative phase shifts for light pulses of different intensity.
- the probable phase and amplitude of an intense light beam follows a generally gaussian distribution.
- the amplitude distribution of the vacuum state would be generally circular, as shown by circle 11a in the phasor diagram of FIG. IA, and the field of the light could be anywhere within the circle. If the light had an amplitude of X and a phase of ⁇ then the phasor diagram would be as shown in FIG. IB and the field of the light may be anywhere within circle lib.
- the probable phase and amplitude of light is altered due to nonlinear light effects in the fiber.
- FIG. 2B illustrates the situation for squeezed light of amplitude X and phase ⁇ at 13b.
- the orientation of the major axis of the ellipse is a function of the phase shift.
- a light beam which has a phase ⁇ such that it is oriented generally parallel to the minor axis of the ellipse, such as vector 25 in FIG. 2B, has less quantum noise in the photon number than unsqueezed light, i.e., sub-shot noise.
- the phase of the light was oriented generally parallel to the major axis of the ellipse, as illustrated by vector 27 in FIG. 2C, that light would have more quantum noise in the photon number than unsqueezed light.
- GAWBS noise Guided-acoustic-wave Brillouin scattering (GAWBS) noise is a noise imparted to a light beam by thermal vibration in an optical fiber.
- GAWBS generally occurs at very high frequencies, on the order of 20 MHz-lGHz.
- the thermal vibration of GAWBS noise alters the index of refraction of the fiber.
- Light pulses in different parts of the fiber will be subject to different GAWBS noise and, therefore, different indices of refraction, thus introducing a phase shift between different pulses.
- GAWBS noise reduces phase shift measurement accuracy.
- GAWBS noise is a significant problem in squeezing since the light must pass through an optical fiber - loop in which GAWBS noise is present in order for squeezing to occur. As the length of the fiber increases, GAWBS noise also increases. Accordingly, it has been proposed to decrease GAWBS noise through use of a short fiber and extremely short pulses with high peak power.
- both pulses experience the same GAWBS noise and, therefore, any phase shift caused by GAWBS noise shows up in both the probe and reference soliton and is, therefore, cancelled in the comparison.
- the invention comprises a scheme for reducing GAWBS noise in squeezed light.
- An input pulse of light of sufficient magnitude for allowing squeezing to occur in a fiber is split into two consecutive pulses of equal intensity by a relative time delay circuit.
- the time interval between the two pulses is made to be less than the inverse spectral width of GAWBS noise so that the two pulses will experience the same GAWBS noise in the fiber.
- the two pulses are then split by a beam splitter/coupler so as to form first and second pairs of pulses which are introduced into opposite ends of a fiber optic loop and propagate in opposite directions therethrough.
- the four pulses are re-introduced to the beam splitter.
- the two pulse pairs are recombined by the beam splitter into a local oscillator pulse pair, comprising almost all of the power of the input light which exits from one port of the beam splitter and a squeezed vacuum pulse pair which exits from the other port.
- the squeezed vacuum signal is passed through a ir phase modulator which is temporally controlled to allow the first pulse to pass through unaffected and to shift the phase of the second pulse by tr.
- the squeezed vacuum signal is then introduced to a first port of a beam splitter while the local oscillator is introduced to the other port.
- the output of the beam splitter comprises two beams of light, each comprising a mixture of the local oscillator and the squeezed vacuum signal. Each beam comprises two pulses which have opposite polarity for the squeezed vacuum signal due to the ir phase modulator.
- the beams outputted from the beam splitter can then be used in whatever manner desired.
- both beams can be input to an optical fiber interferometer.
- the beams are eventually directed to a homodyne detector comprising a beam splitter and two detectors which are balanced relative to each other.
- the homodyne detector essentially outputs a signal having a magnitude proportional to the projection of the squeezed vacuum portion of the input light onto the local oscillator.
- the squeezed vacuum comprises two pulses whose GAWBS noise are of equal magnitude but opposite polarity due to the ir phase shift. Accordingly, the GAWBS noise can be eliminated by averaging the output of each of the two detectors over the combined period of the two pulses.
- the response time of the detection system is relatively slow compared to the pulses such that the two pulses of opposite polarity are automatically averaged during detection, thus eliminating GAWBS noise.
- the structure remains the same except that the v phase modulator is not placed in the path of the squeezed vacuum signal but in the path of the local oscillator. Essentially the same result is achieved.
- the phase modulator it is preferable for the phase modulator to be placed in the path of the local oscillator because the degradation of the noise suppression is less sensitive to the loss of the local oscillator than it is to the squeezed vacuum signal.
- FIGS. IA and IB are a phasor diagram illustrating quantum noise in classical light.
- FIGS. 2A-2C are phasor diagram illustrating quantum noise in squeezed light.
- FIG. 3 is a schematic diagram of an interferometer that employs light squeezing to reduce quantum noise.
- FIG. 4 is a schematic diagram of a first embodiment of the present invention.
- FIG. 5 is a phasor diagram illustrating the phasor vectors of various light beams in the present invention.
- FIG. 6 is a schematic diagram of a second embodiment of the present invention.
- FIG. 3 is a schematic diagram of a prior art squeezer and interferometer combination.
- An input light pulse 1 of extremely high intensity (so as to cause squeezing in the fiber) is introduced to a fiber loop 3 through a 50/50 optical coupler 2, which may be a beam splitter, for example.
- the 50/50 coupler splits the input pulse 1 into two equal pulses la and lb which are introduced into opposite ends of fiber 3 and propagate therethrough in opposite directions. Assuming that pulses la and lb are of sufficient intensity so as to be squeezed in the fiber, when they are recombined by coupler 2 as they exit the opposite ends of the fiber 3, coupler 2 outputs two signals (one from each output port of the beam splitter).
- the output signal from the first port of the coupler, in the direction of arrowhead 17 in FIG. 3, comprises a pulse having almost all of the power of the recombined pulses la and lb.
- This signal is referred to herein as the local oscillator signal.
- Optical circulator 4 separates the local oscillator signal from the input path and directs it towards a homodyne detector 7.
- the signal from the other output port of the coupler 2, in the direction of arrowhead 19, is termed the squeezed vacuum signal and comprises a pulse having an extremely small portion of the power of the recombined pulses la and lb.
- the squeezed vacuum pulse simultaneously appears at the second output port of - the coupler as a result of the non-linear effects in the fiber loop.
- the power in the squeezed vacuum signal is so low that the squeezed vacuum essentially can be considered to comprise squeezed quantum noise with an amplitude of zero, as illustrated in FIG. 2A.
- the quantum noise, having traveled through the loop is squeezed (thus the term squeezed vacuum) and also now contains GAWBS noise.
- the local oscillator signal also comprises the same amount and character of squeezed quantum noise and GAWBS.
- the squeezed vacuum signal is provided to one port of an input beam splitter 5 of interferometer 6 while the local oscillator signal is supplied to the other port of the beam splitter 5.
- the output of the beam splitter 23 of the interferometer 6 is coupled to a homodyne detector 7.
- the homodyne detector comprises two balanced detectors 8 and a subtractor 9 for determining the difference between the outputs of the two detectors 8.
- the intensity and polarity in the output of the homodyne detector is a function of the difference in phase between the squeezed vacuum signal and the local oscillator. Any relative phase shift introduced into the signal by GAWBS noise will increase the output noise and reduce the accuracy of the phase shift detection.
- FIG. 4 is a schematic diagram showing a fiber loop interferometer according to the present invention.
- an input light pulse 12 of extremely high intensity (so as to cause squeezing in the fiber) is introduced to a delay circuit 14 which splits the input light pulse into two pulses of equal intensity by dividing it in half and causing the two halves to pass over generally parallel paths of unequal length.
- the delay period t is less than the inverse spectral width of the GAWBS noise. Since the frequency of GAWBS noise is typically in the range of 20 MHz-lGHz, the time delay t should be no greater than approximately 1 nanosecond.
- Coupler 16 which may be a beam splitter, splits each of pulses 15a and 15b into two sub-pulses of equal intensity and introduces them into opposite ends of fiber optic loop 18.
- Pulse 15a becomes sub-pulses 20a and 22a
- pulse 15b becomes sub-pulses 20b and 22b.
- Split pulses 20a and 20b enter the fiber optic loop at terminal 24 and travel around the loop in a clockwise direction indicated by arrow 26.
- Split pulses 22a and 22b enter the loop at terminal 28 and travel around the loop 18 in the counterclockwise direction as indicated by arrow 30.
- the two counter propagating sub-pulse pairs travel around the loop 18 in opposite directions.
- Coupler/beam splitter 16 When the sub-pulse pairs exit from the opposite ends of the fiber, they are recombined by coupler/beam splitter 16 to form a squeezed vacuum pulse pair 40a and 40b on path 36 out of one port of coupler 16 and a local oscillator pulse pair 39a and 39b on path 35 out of the other port of coupler 16 as previously described with respect to the prior art and FIG. 3.
- Local oscillator pulses 39a and 39b return along the input path 35 to optical circulator 32 where they are redirected along path 34 to one port of an input beam splitter 46 of an optical fiber ring interferometer 44.
- the squeezed vacuum pulses 40a and 40b are forwarded to the other input port of beam splitter 46 of interferometer 44 along a different path, path 36 in which a tr phase modulator 38 is positioned.
- the ir phase modulator 38 is interposed between the squeezed vacuum output (comprising pulses 40a and 40b) of the fiber optic loop 18 and the beam splitter 46 of interferometer 44.
- the modulator 38 may be a push-pull type continuous wave sinusoidal modulator driven to modulate with a period of 2t, where t is the time period between the pulses.
- the modulator oscillates between providing a phase shift to light passing through it of 0 and r.
- Modulator 38 may be an electro-optic crystal having a voltage source coupled across it.
- the oscillator switches between a first voltage, which will cause the crystal to impart a zero phase shift to light traveling through it and a second voltage, which will cause the crystal to impart a ir phase shift to the light traveling through it.
- the voltage source cycle period is ' equal to twice the time period between the pulses, t.
- the modulator is triggered by the leading edge of the first pulse. In this manner, the first pulse passes through the crystal while the voltage source is providing the first voltage, but by the time the second pulse reaches the crystal, the voltage source has switched to the second voltage.
- modulator 38 inverts one of pulses 40a and 40b and does not affect the other, as shown by output pulses 40a' and 40b' from modulator 38 shown in FIG. 4.
- a homodyne detector 50 comprising a beam splitter 52, two balanced detectors 54 and 56 and a subtractor 58, receives the output signals of interferometer 44.
- homodyne detector 50 will not have a. zero output. Accordingly, the output 60 of homodyne detector 50 will not be zero even if there is no phase shift in interferometer 44.
- GAWBS noise reduces the accuracy of detection of phase changes in interferometer 44 by the magnitude of the GAWBS noise imparted to the pulses in squeezing fiber loop 18.
- Phase modulator 38 creates an effect whereby GAWBS noise is eliminated as explained hereinbelow.
- Recombined pulse 40b of the squeezed vacuum includes the GAWBS noise characteristics of both pulses 20b and 22b.
- pulse 40a contains the GAWBS noise characteristics of both pulses 20a and 22a.
- leading pulse 20b has the same GAWBS noise characteristics as trailing pulse 20a
- leading pulse 22b has the same GAWBS noise characteristics as trailing pulse 22a.
- pulse 40a and pulse 40b each contain identical GAWBS noise characteristics, - i.e., pulse 40a contains the combined GAWBS noise characteristics of pulses 20a and 22a while pulse 40b contains the combined GAWBS noise characteristics of pulses 20b and 22b.
- Pulses 39a and 39b also comprise identical GAWBS noise to each other.
- pulse 40a' will contain GAWBS noise which is the exact inverse of the GAWBS noise contained in pulse 40b'.
- the homodyne detector When the pulses eventually reach homodyne detector 50, pulses 40a' and 40b' will automatically be averaged assuming that the response time of the homodyne detector is too slow to distinguish between pulses 40a and 40b (as would be expected from typical commercially available optical homodyne detectors).
- the homodyne detector outputs a signal, the magnitude of which is a function of the difference in magnitude of the two signals input to the detector, i.e., the difference in the magnitude of the signal detected by detector 54 and the signal detected by detector 56.
- the output of the homodyne detector is dictated by the projection of the squeezed vacuum signal onto the axis of the local oscillator.
- the optical intensity detected by the first detector 54 is, therefore:
- optical intensity detected by detector 56 is given by:
- the subtractor 58 of the homodyne detector essentially subtracts equation 4 from equation 3, which results in:
- Equation 5 essentially expresses that the output of the homodyne detector is the projection of the squeezed vacuum signal, A, onto the axis of the local oscillator, B.
- FIG. 5 illustrates this relationship.
- the output of the homodyne detector is essentially given by
- the output 60 of the balanced detector 50 will be insensitive to GAWBS noise and will only detect relative phase shift which occurred in interferometer 44. Of course, any phase shift occurring after beam splitter 46 is not cancelled and will show up in the output of the homodyne detector.
- the output 52a of beam splitter 52 is given by: A + iB + -j_ A - iB
- the output 52b of beam splitter 52 is given by:
- the optical intensity detected by the first detector 54 is, therefore:
- optical intensity detected by detector 56 is:
- Equation 10 (Eq. 10) which is identical to equation 5, i.e., the projection of vector A onto vector B.
- FIG. 6 is a schematic diagram of a second embodiment of the present invention, with like elements being provided with the same reference numerals as in the FIG. 4 embodiment.
- the embodiment of the invention shown in FIG. 6 is essentially identical to the embodiment of FIG. 4 except that the r phase modulator 38 is placed in the path 34 of the local oscillator signal rather than squeezed vacuum path 36.
- Both embodiments of the invention will give essentially the same output noise when the modulator has no loss. However, in actuality, all modulators will experience some loss which will degrade the suppression of shot noise, i.e. will cause the ellipse of FIG. 2 to degrade to a more circular shape.
- the FIG. 6 embodiment of the invention is preferable because the degradation of the elliptical shape of the quantum noise is essentially negligible on the local oscillator because of the much greater magnitude of the local oscillator signal relative to the quantum noise.
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- Physics & Mathematics (AREA)
- Nonlinear Science (AREA)
- General Physics & Mathematics (AREA)
- Spectroscopy & Molecular Physics (AREA)
- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Optics & Photonics (AREA)
- Instruments For Measurement Of Length By Optical Means (AREA)
Abstract
Description
Claims
Applications Claiming Priority (3)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
GB929218235A GB9218235D0 (en) | 1992-08-27 | 1992-08-27 | Reduction of guided-acoustic-wave brillouin scattering noise in a squeezer |
GB9218235 | 1992-08-27 | ||
PCT/US1993/001421 WO1994005967A1 (en) | 1992-08-27 | 1993-02-17 | Optical interferometer with squeezed vacuum and reduced guided-acoustic-wave brillouin scattering noise |
Publications (2)
Publication Number | Publication Date |
---|---|
EP0619032A4 true EP0619032A4 (en) | 1994-08-02 |
EP0619032A1 EP0619032A1 (en) | 1994-10-12 |
Family
ID=10721049
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
EP93906030A Ceased EP0619032A1 (en) | 1992-08-27 | 1993-02-17 | Optical interferometer with squeezed vacuum and reduced guided-acoustic-wave brillouin scattering noise |
Country Status (4)
Country | Link |
---|---|
EP (1) | EP0619032A1 (en) |
JP (1) | JPH07503800A (en) |
GB (1) | GB9218235D0 (en) |
WO (1) | WO1994005967A1 (en) |
Families Citing this family (6)
Publication number | Priority date | Publication date | Assignee | Title |
---|---|---|---|---|
US5574557A (en) * | 1995-05-08 | 1996-11-12 | The Board Of Trustees Of The Leland Stanford Junior University | Apparatus and method for performing sub-poissonian interference measurements using an intensity-squeezed state |
EP0851205B1 (en) * | 1996-12-26 | 2003-03-26 | Hitachi, Ltd. | Optical interferometer and signal synthesizer using the interferometer |
JP3607930B2 (en) | 2001-07-02 | 2005-01-05 | 和夫 保立 | Optical fiber characteristic measuring apparatus and method |
DE102007058038A1 (en) * | 2007-11-30 | 2009-06-04 | Deutsche Telekom Ag | High-resolution phase measurement on an optical signal |
CN106289050A (en) * | 2016-07-21 | 2017-01-04 | 哈尔滨工业大学 | System and method is measured in a kind of super-resolution quantum interference based on odd even exploration policy |
WO2022050154A1 (en) * | 2020-09-02 | 2022-03-10 | 国立大学法人東京大学 | Optical measurement device and optical measurement method |
-
1992
- 1992-08-27 GB GB929218235A patent/GB9218235D0/en active Pending
-
1993
- 1993-02-17 WO PCT/US1993/001421 patent/WO1994005967A1/en not_active Application Discontinuation
- 1993-02-17 EP EP93906030A patent/EP0619032A1/en not_active Ceased
- 1993-02-17 JP JP6507158A patent/JPH07503800A/en active Pending
Non-Patent Citations (2)
Title |
---|
M. SHIRASAKI & H.A. HAUS: "Reduction of guided-acoustic-wave Brillouin scattering noise in a squeezer", OPTICS LETTERS, vol. 17, 1 September 1992 (1992-09-01), WASHINGTON US, pages 1225 - 1227, XP000293926 * |
See also references of WO9405967A1 * |
Also Published As
Publication number | Publication date |
---|---|
GB9218235D0 (en) | 1992-10-14 |
EP0619032A1 (en) | 1994-10-12 |
WO1994005967A1 (en) | 1994-03-17 |
JPH07503800A (en) | 1995-04-20 |
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