METHOD AND SYSTEM USING OPTICAL PHASE MODULATION AND OPTICAL PHASE DEMODULATION AND SPECTRAL FILTERING TO GENERATE AN OPTICAL PULSE TRAIN

Abstract

A method of generating an optical pulse train using spectral extension by optical phase modulation, spectral narrowing by optical phase demodulation, and narrow linewidth optical filtering is disclosed. It is also described that the wavelength selection of light using a chromatic dispersion element between the optical phase modulator can enrich the method. Systems include an in-line optical setup and a ring-type laser cavity for mode-locked laser outputs. The duration with which the electrical signals driving the modulators are opposed determines the line width of the optical pulses, and the opposite repetition of the electrical signals defines the rate of repetition of an optical pulse train generated. Four different arrangements of electrical signals in the time domain or phase domain make it possible to control the generation of optical pulses and the wavelength selection of the light. (i) A signal arrangement comprising sinusoidal electrical signals with a slight frequency difference. (ii) A signal arrangement comprising a phase-shift between electrical signals. (iii) A signal arrangement comprising a phase-shift between electrical signals depending on the amplitude of the bits. (iv) A signal arrangement comprising random electric waves that repeat themselves over a predefined period to allow the insertion of controllable time delays between each other.

Claims

1. A method for generating optical pulses with adjustable repetition rate and pulse-width and selection of the wavelength: for optical pulse generation wherein an in-line optical system or a ring-type laser cavity system comprising steps of, optical phase modulation of narrowband light for the spectral broadening, optical phase modulation of the spectrally broadened light for the further spectral re-broadening, optical phase demodulation of the spectrally broadened light in a short time for the spectral re-narrowing, optical filtering that passes only the spectrally broadened and then spectral narrowed light through the transmission line with high efficiency, >99%, for passive opening and closing function or for optical pulse generation and wavelength selection wherein an in-line optical system or a ring-type laser cavity system comprising steps of, optical phase modulation of frequency comb light for the spectral broadening, chromatic dispersion separating broadened comb frequencies in time-domain for transmission of successive frequencies in sequential time order, optical phase modulation of the continuous-wave broadened frequency comb light for the further spectral re-broadening, optical phase demodulation of the continuous-wave spectrally broadened frequency comb light in a short time for the spectral re-narrowing, optical filtering that passes only the spectrally broadened and then spectral narrowed frequency comb light through the transmission line with high efficiency, >99%, for passive opening and closing function.

2. The method according to claim 1, wherein the optical phase modulation further comprises steps of, transmission of narrowband light to an electro-optic phase modulator, phase modulation of narrowband light with high amplitude, single frequency, or random frequency electrical signal, generation of side optical bands in multiples of the electrical signal frequency around the central optical frequency, spectrally broadening of the optical band, determination of spectral broadening by the number of sidebands calculated from Bessel functions, modulation index, and frequency of electrical signals.

3. The method according to claim 1, wherein the optical phase demodulation further comprises steps of, transmission of spectrally broadened light to an electro-optic phase modulator, phase demodulation of spectrally broadened light with relatively opposite, high amplitude, single frequency or random frequency electrical signal, spectrally narrowing of the optical band.

4. The method according to claim 2 or claim 3, wherein the electro-optic phase modulator comprises a LiNbO.sub.3 optical phase modulator.

5. The system which performs the method according to claim 1, wherein the in-line optical setup comprising a narrowband light source, at least two electro-optic phase modulators connected in series, at least one electrical signal generator to drive the modulators, and one narrow linewidth optical filter.

6. The method for performing the system of claim 5, further comprising the process steps of, transmission of continuous-wave light from a narrowband light source to an electro-optic phase modulator, driving the first electro-optic phase modulator with high amplitude and single frequency or random frequency electrical signals provided by a self-repeating electrical signal generator, ensuring the expansion of the optical band in the spectral domain, driving the second electro-optic phase modulator with the same or opposite electrical signal, according to the electrical signal driving the first electro-optic phase modulator, spectral narrowing due to phase demodulation with opposite electrical signal or further spectral broadening due to phase modulation with the same electrical signal, employing a narrow linewidth optical filter for passive opening and closing functions in optical pulse generation, passing only the broadened and then narrowed light through the transmission frequency with high efficiency, >99%.

7. The system which performs the method according to claim 1, wherein the ring-type laser cavity comprising an optical frequency comb light source, at least two similarly featured electro-optic phase modulators, at least one electrical signal generator to drive the modulators, a narrow linewidth optical filter, and a coupler.

8. The method for performing the system of claim 7, further comprising the process steps of, spectral broadening with the first phase modulator, spectral re-narrowing with the second electro-optic phase modulator as long as the second electrical signal driving the second electro-optic phase modulator is opposite to the first signal driving the first electro-optic phase modulator for a certain period, employing a narrow linewidth optical filter for passive opening and closing functions in optical pulse generation, passing only the broadened and then narrowed light through the transmission frequency with high efficiency, >99%, matching the opposite repetition of the electrical signals to the cavity round trip time for mode-locking laser output.

9. The system of claim 5, wherein the narrowband light source comprises a high-power monolithic diode laser with an internal grating and a diode driver including an on-board TEC controller.

10. The system of claim 7, wherein the optical frequency comb light source comprises a high-power broadband semiconductor optical amplifier with an internal grating and a diode driver including an on-board TEC controller.

11. The system of claim 5 or claim 7, wherein the electrical signal generator comprises an RF-signal generator, a function generator, a random bit generator, a bit pattern generator, or a programmable bit pattern generator.

12. The system of claim 5, or claim 7, wherein the narrow linewidth optical filter comprises a fiber-based Fabry-Perot etalon.

13. The system of claim 5, wherein the in-line optical setup is structured to select the wavelength of light by placing a chromatic dispersion component between electro-optic phase modulators to separate the optical frequencies in a fixed step size over time.

14. The system of claim 7, wherein the ring-type laser cavity is structured to select the wavelength of light by placing a chromatic dispersion component between electro-optic phase modulators to separate the optical frequencies along the cavity in a fixed step size over time.

15. The system of claim 13 or claim 14, wherein the chromatic dispersion component comprises a chirped fiber Bragg grating or dispersion compensation fiber.

16. The method according to claim 2 or claim 3, wherein: a configuration includes two phase-locked electrical signal generators, a signal arrangement is provided by sinusoidal electrical signals with a slight frequency difference to drive electro-optic phase modulators, the frequency difference defines the repetition rate of an optical pulse train generated, twice the frequency difference defines the pulse width, full width at half max, of pulses in the optical pulse train.

17. The method according to claim 2 or claim 3, wherein: a configuration includes a signal generator, a square wave generator or a random bit generator, and a phase shifter, a signal arrangement with a phase-shift between electrical signals is provided to drive electro-optic phase modulators, the repetition rate of the square wave or bits driving the phase shifter defines the repetition rate of an optical pulse train generated, the clock frequency of the square wave generator or the bit generator defines the pulse width of pulses in the optical pulse train.

18. The method according to claim 2 or claim 3, wherein: a configuration comprises a signal generator, a square wave generator or a random bit generator, and a frequency mixer, a signal arrangement with a phase-shift between electrical signals depending on the amplitude of the bits is provided to drive electro-optic phase modulators, the repetition rate of the square wave or bits driving the frequency mixer defines the repetition rate of an optical pulse train generated, the clock frequency of the square wave generator or the bit generator defines the pulse width of pulses in the optical pulse train.

19. The method according to claim 2 or claim 3, wherein: a configuration comprises two phase-locked arbitrary waveform generators or a programmable bit pattern generator with two outputs, a signal arrangement with a random waveform that repeats over a predefined period and allows the insertion of controllable time delays between each other is provided to drive electro-optic phase modulators, the predefined period of the random waveforms defines the repetition rate of an optical pulse train generated, the length of the random waveform in time defines the pulse width of pulses in the optical pulse train.

Description

DESCRIPTION OF DRAWINGS

[0013] The present invention discloses a method and apparatus that uses optical phase modulation, optical phase demodulation, spectral optical filtering, and electrical signal arrangements to generate an optical pulse and select light wavelength. f.sub.m(t) represents the electrical signal or the RF signal for optical phase modulation. −f.sub.m(t) represents the opposite electrical signal or the opposite RF signal for optical phase demodulation.

[0014] FIG. 1A: Diagram of exemplary optical phase modulation and representative graphs in the time domain and the spectrum domain, respectively.

[0015] FIG. 1B: Diagram of exemplary optical phase modulation or demodulation and representative graphs in the spectrum domain, respectively.

[0016] FIG. 1C: Diagram of exemplary optical phase modulation or demodulation applied to optical frequency comb and representative graphs in the spectrum domain, respectively.

[0017] FIG. 2A: Block diagram of a system with in-line optics according to an exemplary embodiment of the present disclosure for optical pulse generation.

[0018] FIG. 2B: Block diagram of another system with in-line optics according to a further exemplary embodiment of the present disclosure for optical pulse generation, including wavelength selection of light.

[0019] FIG. 3A: Block diagram of a ring-type laser cavity system according to an exemplary embodiment of the present disclosure for laser pulse generation.

[0020] FIG. 3B: Block diagram of another ring-type laser cavity system according to a further exemplary embodiment of the present disclosure for laser pulse generation, including wavelength selection of light.

[0021] FIG. 4A: Block diagram of a configuration of phase-locked signal generators providing a signal arrangement to drive optical phase modulators associated with the system of FIG. 2 or FIG. 3.

[0022] FIG. 4B: Representative amplitude-time graph illustrating the signal arrangement of two sinusoidal electrical signals with a slight frequency difference, provided by the configuration of FIG. 4A.

[0023] FIG. 5A: Block diagram of a configuration of a signal generator, a square wave generator, and a phase shifter, providing another signal arrangement to drive optical phase modulators associated with the system of FIG. 2 or FIG. 3.

[0024] FIG. 5B: Representative diagrams illustrating a 180° phase-shift sinusoidal electrical signal, provided by the configuration of FIG. 5A.

[0025] FIG. 6A: Block diagram of a configuration of a signal generator, a square wave generator, and a frequency mixer, providing still another signal arrangement to drive optical phase modulators associated with the system of FIG. 2 or FIG. 3.

[0026] FIG. 6B: Representative diagrams illustrating a 180° phase-shift sinusoidal electrical signal, provided by the configuration of FIG. 6A.

[0027] FIG. 7A: Block diagram of a configuration of phase-locked arbitrary waveform generators, providing yet another signal arrangement to drive optical phase modulators associated with the system of FIG. 2 or FIG. 3.

[0028] FIG. 7B: Block diagram of a configuration of a programmable bit pattern generator with two outputs providing another signal arrangement to drive optical phase modulators associated with the system of FIG. 2 or FIG. 3.

[0029] FIG. 7C: Representative graphs in the time domain showing the signal arrangement of inverse random waveforms relative to each other and the transmission order of these signals, provided by the configuration of FIG. 7A or FIG. 7B.

[0030] FIG. 8A: Block diagram illustrating an in-line optical system using a signal arrangement associated with the configuration of FIG. 5.

[0031] FIG. 8B: A Graph illustrating representative measured laser outputs of the exemplary ring-cavity laser in the time domain.

[0032] FIG. 9A: Block diagram illustrating a ring-cavity laser system using a signal arrangement associated with the configuration of FIG. 4.

[0033] FIG. 9B: A Graph illustrating representative measured laser outputs of the exemplary ring-cavity laser in the time domain.

DESCRIPTION OF EMBODIMENTS

[0034] FIG. 1 presents exemplary embodiments for optical phase modulation and optical phase demodulation processes and examples showing spectral extension and spectral narrowing. Optical phase demodulation defines the process that reverses the phase modulation applied by inverse (opposite) electrical signals relative to the signals driving the first modulator and hence, the optical spectrum extension (broadening).

[0035] FIG. 1A presents an exemplary embodiment and a representative spectral result producing spectral extension by optical phase modulation. The exemplary embodiment includes a narrowband light source 10, an electro-optic phase modulator 11, and an electrical signal generator 12. The continuous wave 100 and narrowband laser beam 110 generated from the source 10 travels through an electro-optic phase modulator 11. The modulator 11 forms side optical bands in multiples of the electrical signal frequency around the central optical frequency. Hence, a narrow optical band 110 with phase modulation undergoes spectral widening, i.e., spectral expansion 120. The number of sidebands calculated by Bessel functions using modulation index (modulation depth) and modulation frequency (i.e., frequency of electrical signals) determines the phase modulation-induced spectral expansion. The voltage applied to the modulators is directly proportional to the modulation index, and as it increases, the number of sidebands also increases.

[0036] For better understanding, FIG. 1B shows an exemplary embodiment of the phenomenon according to the present disclosure for modulation-modulation or modulation-demodulation. The exemplary embodiment includes a narrowband light source 10, two electro-optic phase modulators 11 with similar technical characteristics and two electrical signal generators 12 with similar technical specs. The continuous-wave 100 and narrowband laser beam 110 transmitted through the laser source undergo spectral broadening (extension) 120 in the first electro-optic phase modulator 11. With the second electro-optic phase modulator, the broadened optical band 120 is subject to either broaden further in the spectral domain 130, i.e., second phase modulation, or undergo spectral narrowing, which returns to the original band 140, i.e., phase demodulation.

[0037] The second phase modulation can be applied to the laser beam with the same electrical signal inducing the first modulation, resulting in a spectral broadening enhancing effect. In the other case, the opposite (inverse) electrical signal driving another modulator reverses the first phase modulation, i.e., phase demodulation.

[0038] FIG. 1C shows a representative embodiment of the present disclosure for optical phase modulation and optical phase demodulation of an optical frequency comb. This exemplary embodiment also includes two electro-optic phase modulators 11 with similar technical characteristics and two electrical signal generators 12 with similar technical specifications. Alternatively, narrow linewidth optical frequencies 150 generated in the laser source 15 are transmitted to the first electro-optic phase modulator 11. All optical frequencies undergo uniform phase modulation and spectral broadening 160.

[0039] Similarly, depending on the electrical signals driving the modulators, all optical frequencies experience the second modulation again spectrally expand 170 or, depending on the opposite/inverse amplitude, all optical frequencies return to their original spectral state 180 by demodulation. Similarly, depending on the electrical signals driving the modulators, all optical frequencies undergo the second modulation for spectral broadening 170, or all optical frequencies return to their original spectral state 180 by phase demodulation (re-narrowing).

[0040] The embodiments of the present invention based on the modulation and demodulation processes described in FIG. 1 are detailed for the following in-line optical setups, laser cavities, and electrical signal arrangements.

[0041] FIG. 2A shows an exemplary embodiment of the in-line optical setup configured to generate optical pulses, according to an exemplary embodiment of the present invention. The exemplary embodiment includes a narrowband light source 10, two electro-optic phase modulators 11 with similar technical characteristics connected in series, and a narrow linewidth optical filter 20. Two electrical signal generators 12 with similar technical specifications drive modulators.

[0042] Optical pulse generation for the exemplary embodiment can be summarized as follows: a narrowband light source 10 produces the narrow linewidth continuous-wave light. The light is emitted into the first electro-optic phase modulator 11 and subjected to spectral broadening as a function of the applied phase modulation. Returning to FIG. 1B, the second modulator can spectrally broaden the optical band a second time (in the case of the same electrical signals) or apply spectral re-narrowing to restore its original state in the spectral domain (in the case of opposite electrical signals).

[0043] A narrow linewidth optical filter 20, which undertakes passive opening and closing functions in optical pulse generation, is connected in series to the phase modulators 11. It has optical transmission frequencies matching the frequency of the radiation produced by the narrowband light source 10. Thus, the broadening and then re-narrowing light can pass through the transmission wavelength (i.e., optical frequency) of the optical filter 20 with high efficiency (>99%).

[0044] On the other hand, the light that experiences spectral broadening twice (i.e., re-broadening) is absorbed by the spectral optical filter 20 since it does not overlap with the transmission wavelength. In other words, the spectral optical filter 20 passes or absorbs the light, depending on the spectral broadening of spectral narrowing of the optical band propagated from the source 10. Thus, time-modulation of the opposite/inverse amplitude relationship between signal generators 12 driving the first and second electro-optic phase modulators 11 can yield an optical pulse train.

[0045] The narrowband light source 10 used in the exemplary embodiment shown in FIG. 2A can be a monolithic diode laser with an internal grating, a distributed feedback laser diode, or a distributed Bragg reflector laser. Alternatively, or additionally, a continuous-wave broadband semiconductor laser source with an external optical grating can be employed in this embodiment.

[0046] FIG. 2B presents an exemplary embodiment of the in-line optical setup configured to generate optical pulses and select wavelengths. The exemplary embodiment includes an optical frequency comb source 15, two electro-optic phase modulators 11 with similar technical characteristics, two electrical signal generators 12 with similar specifications, an optical element providing time delay, and a narrow linewidth optical filter 20. An optical element may be a chromatic dispersion component 21 for providing time delay and/or phase delay between optical frequencies.

[0047] The working principle of the embodiment can be summarized as follows: all optical frequencies generated from the source 15 undergo spectral extension (broadening) in the first modulator 11 induced by optical phase modulation. The chromatic dispersion component 21 separates the extended frequencies from each other in the time domain so that consecutive optical frequencies reach the second modulator 11 in sequential time order. In addition to the phase modulation and phase demodulation described in FIG. 2A, the signal driving the second modulator 11 is opposite to the signal driving the first modulator 11 within a certain delay corresponding to the time interval due to chromatic dispersion. Thus, the wavelength of light can be chosen depending on the successive increase in delay between electrical signals. Light of the selected wavelength passes through the optical filter 20 with high efficiency by re-narrowing the spectrum with the second phase modulation. An optical filter 20 absorbs unselected wavelengths due to the second spectral broadening (re-broadening), preventing the transmission.

[0048] In another exemplary embodiment of the present invention, a ring-type laser cavity can produce active mode-locked laser output. As shown in FIG. 3A, a narrowband light source 30, two similarly featured electro-optic phase modulators 11, a narrow linewidth optical filter 20, and a coupler 31 can configure the laser cavity. The working principle of the laser can be explained as follows: the first phase modulator 11 generates spectral broadening while the second phase modulator 11 spectrally narrows as long as the second signal is opposite to the first signal for a certain period. At other moments, the second modulator 11 continues to expand optical frequencies spectrally. In combination with this disclosed phenomenon and the optical filter 30 in the cavity, the laser is enabled to generate optical pulses. The repetition rate of opposite the second signal to the first signal from electrical signal generators 12 is matched with the cavity round-trip time or harmonics to achieve the active mode-locking.

[0049] Alternatively, or additionally, as shown in FIG. 3B, another laser cavity can be configured with an optical frequency comb light source 32, two electro-optic phase modulators with similar technical specifications 11, two electrical signal generators 12 with similar technical specifications, narrow linewidth optical filter 20, a chromatic dispersion component 21, and an optical coupler 31.

[0050] The working principle of the laser can be explained as follows: the first optical phase modulator 11 generates spectral expansion to optical frequencies oscillating in the laser cavity. The intra-cavity chromatic dispersion component 21, causing phase or time delay between laser wavelengths, separates all optical frequencies in the time domain and transmits them to the second optical phase modulator 11 in sequential order. The second phase modulator 11 is driven by the electrical signal opposite the electrical signal driving the first modulator 11 within a certain delay corresponding to the time interval or multiples between optical frequencies. The delay between the opposite signals is set according to the time interval of the lasing wavelength. Thus, the selected wavelength, which is spectrally broadened and re-narrowed respectively, passes through the transmission line of an optical filter with high efficiency (>99%), while other optical frequencies are prevented from oscillation in the cavity. An optical coupler 31 obtains the laser output. The repetition rate of the second signal being opposite to the first signal for a certain period matches with the cavity round-trip time or harmonics to ensure the active mode-locking.

[0051] In all of the exemplary embodiments listed in the present disclosure, the electro-optic phase modulator 11 can be a Pockels cell type modulator, modulator on the titanium in-diffused waveguide, or a Lithium Niobate optical modulator. Electrical signal generator 12 can be analog or digital signals. Besides, electrical signal generator 12 can be an RF-signal generator, a function generator, a random bit generator, or a bit pattern generator.

[0052] The chromatic dispersion component 21 can be one or a combination of optical fiber, a chromatic dispersion compensator, a prism, or a chirped fiber Bragg grating.

[0053] The invention is on a sequential process of spectral broadening caused by phase modulation and spectral re-narrowing caused by phase demodulation. Phase modulation and phase demodulation, as explained in FIG. 1, are relative processes. The opposite (inverse amplitude) states of the electrical signals driving the modulators 11 and the time modulation of this state define the linewidth and repetition rate of the generated optical pulses. Moreover, the delay and harmonics between the opposite electrical signals determine the wavelength selection in the optical frequency comb light source configuration. In this context, methods for the arrangements of electrical signals driving electro-optic phase modulators 12 are described below.

[0054] FIG. 4 shows an exemplary embodiment for an arrangement of electrical signals providing a slight frequency difference between the signals. As shown in FIG. 4A, electro-optic phase modulators 11 with similar technical features are driven by two electrical signal generators 12 with similar technical specifications. Both electrical signal generators 12 are connected to operate in the same time domain or the same clock signal. This coupling is phase locking, common 10 MHz clock signal, etc. It can be in any one or a combination of methods. The working principle of the method is explained as follows: opposite electrical signals/waveforms are defined, in particular, by a 180° (in radians) phase-shift. As shown in FIG. 4B, a time-dependent phase shift occurs between the sinusoidal electrical waves operating two signal generators 12 at slightly different frequencies. Thus, the phase difference between electrical waveforms is modulated from 0° to 180° to be a function of time. Once the phase difference between the two waves reaches 180°, opposite waves are obtained, and thereby phase demodulation. In other instances, second optical phase modulation and low transmission through narrow linewidth optical filter 20 are achieved. By modulating the spectral broadening and spectral narrowing in time depending on the phase shift between signals, the continuous-wave radiation generates an optical pulse array with the aid of a narrow linewidth optical filter 20. The frequency difference between two electrical signals defines the repetition rate of the optical pulse train at 50% duty cycle.

[0055] FIG. 5 shows an exemplary embodiment for an arrangement of electrical signals to provide a phase-shift between signals. As shown in FIG. 5A, an electrical signal generator 12 drives two electro-optic phase modulators 11 with similar technical specifications. Generator 12 may, for example, be an RF signal generator. The exemplary embodiment also includes a square wave generator and an analog or digital phase shifter. The square wave generator 51 may be a bit pattern generator or a function generator. The working principle of the presented method is as follows: as shown in FIG. 5B, the sinusoidal electrical waves supplied from a generator 12 are divided into two branches. By switching the phase shifter with a square wave generator 51 through the control input, the phase difference (phase shift) between the waves divided into two branches is configured to be a function of time between 0° and 180° (in radians). The 180° phase-shift produces the opposite signal allowing optical phase demodulation relative to the first modulation. The RF signal generator 12 directly drives the first electro-optic phase modulator 11. The second electro-optic phase modulator 11 is driven by waves that undergo rapid phase-shift modulation in time with the phase shifter 50 switched by the square wave generator 51. Thus, an optical pulse train is generated based on the time variation of the phase difference between electric waves (i.e., modulation of the phase-shift in time).

[0056] FIG. 6 shows an exemplary embodiment for an arrangement of electrical signals to provide a phase-shift between signals as a function of bit or square wave amplitude. The embodiment includes an electrical signal generator 12, an RF frequency mixer 60, and a square wave generator 51, shown in FIG. 6A. The electric signal generator 12 drives both electro-optic phase modulators 11. As shown in FIG. 6B, the operating principle of the presented arrangement is as follows: RF sinusoidal waves transmitted from the electrical signal generator 12 are divided into two branches. The electrical signals driving the phase modulator 11 are multiplied by ±1 Volt square waves in the RF frequency mixer 60. At the +1 Volt amplitude of the square wave, RF signals exit the RF frequency mixer 60 without phase-shift. At the −1 Volt state of the square wave amplitude, the signals undergo a 180° phase-shift and have the opposite amplitude. In this way, the phase difference between the electrical signals driving the first modulator 11 and the electrical signals driving the second modulator 11 is time modulated (0° or 180°) as a function of a square wave with an amplitude of ±1 Volt, thereby generating an optical pulse train.

[0057] FIG. 7 shows an exemplary embodiment for an arrangement of electrical signals to provide opposite random waveforms that enable optical pulse generation and wavelength selection of light. FIG. 7A presents the configuration of driving electro-optic phase modulators 11 with two random-wave generators of similar technical specifications 70. Random-wave generators 70 are phase-locked to generate signals at the same time-domain and the phase-domain. FIG. 7B presents an example of the two-output programmable bit pattern generator 71 providing the same signal arrangement.

[0058] The arrangement presented is based on the use of random waveforms because the waveforms, repeating themselves over a predefined period, allow the insertion of controllable time delays between each other. As shown in FIG. 7C, the operation principle of the signal arrangement is as follows: the first electro-optic phase modulator 11 is driven by a random electric waveform that repeats itself without time delay. The second electro-optic phase modulator 11 is driven with the opposite form of the random electric wave. In this way, optical phase modulation and optical phase demodulation are ensured. To generate optical pulses of sequential optical frequency comb in the time domain with a chromatic dispersion element 21 inducing constant times step as described in FIG. 2B and FIG. 3B, the delayed (T.sub.1, T.sub.2, . . . , T.sub.N) opposite random electric waves drive the second electro-optic phase modulator 11. This delay increases linearly in multiples of the time step between consecutive optical frequencies. Thus, both optical pulse generation and wavelength selection of light are performed. The time difference (i.e., time step) between the random electrical waves driving the second modulator 11 can be defined by programming the bit generator 71. Besides, the repetition of time-added contrasting random waves is performed in a cycle within the laser cavity period and its multiples, producing an actively mode-locked laser output.

[0059] Exemplary experimental setups and related results are described below, demonstrating some part of the invention is realized with an in-line optical system and laser cavity system based on two electro-optic phase modulators 11 and a fiber-based Fabry-Perot etalon 85 connected in series. These systems operated in the near-infrared spectrum.

[0060] FIG. 8A demonstrates an experimental block diagram of the in-line fiber-based optical setup for optical pulse train generation of the present invention. The system employs the arrangement of the electrical signals described in FIG. 5. The system includes a semiconductor laser source 80 at the center wavelength of 1340 nm with 0.27 nm line-width, an optical insulator 81 to block the reflected beam, polarization control pedals 82 to control the polarization state of the light, 600 grooves/mm optical grating 83 for further narrowing the spectral width of light, 10-GHz LiNbO.sub.3 electro-optic phase modulators 11, and a fiber-based Fabry-Perot etalon filter 85 with a fineness of 500 and 200 GHz free spectral range.

[0061] The RF electrical signal generator 86 generates sinusoidal electrical signals at a repetition rate of 7 GHz. The sinusoidal signal in the first arm is amplified with >30 dB gain and transmitted to the first electro-optic phase modulator 11. The other arm enters the RF signal input of the digital phase shifter 88. The digital phase shifter 88, controlled by the function generator 89, allows the phase shift of RF electrical signals between 0° and 180° at 8-bit resolution. The phase shifter 88 is connected to another electrical signal amplifier with >30 dB gain 87 and a second electro-optic phase modulator 11, respectively. In the exemplary embodiment, the function generator 89 at a repetition rate of 10 kHz provides the phase switching from 0 to 180 between the sinusoidal electrical signals driving the first phase modulator 11 and the second phase modulator 11. Switching with the function generator 89 allows the generation of an optical pulse train with a repeat rate of ˜10 kHz and a linewidth of <500 ns, as shown in FIG. 8B. FIG. 8C shows an example of the optical pulses and square wave of the function generator 89 overlapped in time for making a direct comparison.

[0062] FIG. 9A shows a block diagram of an experimental ring laser, which exemplifies the actively mode-locked pulse generation implementation of the present invention. The system employs the arrangement of the electrical signal described in FIG. 4A. The system includes a semiconductor laser source 90 centered at 1289 nm, an optical insulator 81 to block the reflected beam, 1200 grooves/mm optical grating 91 for further narrowing the spectral width of light, 10-GHz LiNbO.sub.3 electro-optic phase modulators 11, a fiber-based Fabry-Perot etalon filter with a fineness of 500 and 200 GHz free spectral range 85, polarization control pedals 82 to control the polarization state of the light, and a 90:10 output coupler 92. The RF signal generators 86 are phase-locked through 10 MHz clock input-output. >30 dB gain amplifiers 87 amplify and transmit 8 GHz sinusoidal signals to the electro-optic phase modulators 11. As shown in FIG. 9B, when setting the frequency difference between two signal generators 86 to 500 kHz (7.9995 GHz and 8 GHz), it is achieved to obtain an optical pulse train with a pulse width of <400 ns at 500 kHz (50% duty cycle).

[0063] All measurements of the optical results produced were obtained by an oscilloscope with a bandwidth of 3.5 GHz and a sampling rate of 40 GS/s combined with a photo-sensor with a bandwidth of 25 GHz.

CITATION LIST

Patent Literature

[0064] US20030063837A1, US20040253000A1, US20080114556A1, CA2397025A1, JPH06302881

Non-Patent Literature

[0065] 1. R. Paschotta, “Field Guide to Laser Pulse Generation”, SPIE Press, Washington USA, 2008. [0066] 2. A. E. Siegman, “Lasers”, University Science Books, Palo Alto, Calif., Chapter 27-28, 1986. [0067] 3. B. E. A. Saleh and M. C. Teich, “Fundamentals of Photonics”, John & Wiley Sons, Chapter 14, 1991. [0068] 4. H. Y. Ryu, H. S. Moon, and H. S. Suh, “Optical frequency comb generator based on actively mode-locked fiber ring laser using an acousto-optic modulator with injection-seeding,” Opt. Express 15, 11396-11401, 2007. [0069] 5. V. Torres-Company and A. M. Weiner, “Optical frequency comb technology for ultra-broadband radio-frequency photonics”, Laser & Photonics Rev., 8(3), 368-393, 2014. [0070] 6. J. S. Wey, J. Goldhar, D. W. Rush, M. W. Chbat, G. M. Carter, and G. L. Burdge, “Performance characterization of a harmonically mode-locked erbium fiber ring laser”, IEEE Photonics Tech. Lett., 7(2), 152-154, 1995. [0071] 7. J. J. Veselka and S. K. Korotky, “Pulse generation for soliton systems using lithium niobate modulators”, IEEE J. of Selected Topics in Quantum Elect., 2(2), 300-310, 1996. [0072] 8. H. Tanaka, S. Takagi, M. Suzuki, and Y. Matsushima, “Optical short pulse generating device”, U.S. Pat. No. 5,434,693, 1995. [0073] 9. T. Otsuji, M. Yaita, and T. Nagatsuma, and E. Sano, “10-80-Gb/s highly extinctive electrooptic pulse pattern generator”, IEEE J. of Selected Topics in Quantum Elect. 2(3), 643-649, 1996. [0074] 10. T. Kobayashi, H. Yao, K. Amano, Y. Fukushima, A. Morimoto, and T. Sueta, “Optical pulse compression using high-frequency electrooptic phase modulation”, IEEE J. of Quantum Elect., 24(2), 382-387, (1988). [0075] 11. T. Komukai, T. Yamamoto, and S. Kawanishi, “Optical pulse generator using phase modulator and linearly chirped fiber Bragg gratings”, IEEE Photonics Tech. Lett., 17(8), 2005. [0076] 12. M. Wan, F. Li, X. Feng, X. Wang, Y. Cao, B. Guan, D. Huang, J. Yuan, and P. K. A. Wai, “Time and Fourier domain jointly mode locked frequency comb swept fiber laser”, Optics Express, 25(26), 2017. [0077] 13. T. Kraetschmer, D. Dagel, and S. T. Sanders, “Simple multiwavelength time-division multiplexed light source for sensing applications”, Optics Letters, 33(7), 738-740, 2008. [0078] 14. J. P. Kolb, T. Pfeiffer, M. Eibl, H. Hakert, and R. Huber R., “High-resolution retinal swept source optical coherence tomography with an ultra-wideband Fourier-domain mode-locked laser at MHz A-scan rates”, Biomedical Optics Exp., 9(1), 2018. [0079] 15. G. P. Agrawal, “Applications of Nonlinear Fiber Optics”, Academic Press, San Diego Calif., 241-249, 2001. [0080] 16. J. Hervas, D. Barrera, J. Madrigal, and S. Sales, “Phase modulation to intensity modulation conversion for sensitive FBG sensor interrogation”, Proc. SPIE 10323, 1032342-1-1032342-4 (2017).