The embodiments discussed herein are related to an isolator-free laser.
Unless otherwise indicated herein, the materials described herein are not prior art to the claims in the present application and are not admitted to be prior art by inclusion in this section.
The performance of lasers used as optical transmitters in optical communication systems is impaired by reflections at, e.g., the end faces of optical fibers or breaks in the optical fibers. Light may be coupled back into the laser from such an external cavity with a different phase position or a different polarization and may produce parasitic modes in the laser which result in an undesired change of the emitted frequency or in a reduction of the emitted amplitude.
Such external cavity feedback is commonly suppressed by an optical isolator positioned at the output of the laser. Optical isolators allow transmission of light in only one direction. Optical isolators typically include a Faraday rotator and first and second polarizers or first and second birefringent wedges. Optical systems with lasers and optical isolators also typically include at least one lens at the input of the optical isolator to collimate the output of the laser into the optical isolator and at least one lens at the output of the optical isolator to focus the output of the optical isolator into an optical fiber. Optical isolators and lenses add cost and increase a size of optical systems.
The subject matter claimed herein is not limited to implementations that solve any disadvantages or that operate only in environments such as those described above. Rather, this background is only provided to illustrate one example technology area where some implementations described herein may be practiced.
This Summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description. This Summary is not intended to identify key features or essential characteristics of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject matter.
In an example embodiment, an isolator-free laser includes an etalon, an active section, and a low reflection (LR) mirror. The etalon includes a passive section of the isolator-free laser and a reflection profile. The active section is coupled end to end with the passive section. The active section has a distributed feedback (DFB) grating and a lasing mode at a long wavelength edge of a reflection peak of the reflection profile. The LR mirror is formed on a front facet of the passive section. The long wavelength edge of the reflection peak of the reflection profile has a slope greater than 0.006 gigahertz−1 (GHz−1) at the lasing mode. A relative intensity noise (RIN) of the isolator-free laser under −20 decibels (dB) external cavity optical feedback is less than or equal to −130 dBc/Hz.
In another example embodiment, an isolator-free laser includes an etalon, an active section, and a LR mirror. The etalon includes a passive section of the isolator-free laser and a reflection profile with a reflection peak. The active section is coupled end to end with the passive section. The active section has DFB grating and a lasing mode aligned to a long wavelength edge of the reflection peak of the reflection profile. The LR mirror is formed on a front facet of the passive section. Alignment of the lasing mode of the active section to the long wavelength edge of the reflection peak of the reflection profile is configured to suppress change in threshold current of the active section under external cavity optical feedback.
In another example embodiment, an optical system includes an optical fiber and an isolator-free laser optically coupled to the optical fiber. The isolator-free laser includes an etalon or a DBR mirror and an active section. The etalon or the DBR mirror includes a passive section of the isolator-free laser and a reflection profile. The active section is coupled end to end with the passive section. The active section has a lasing mode aligned to a long wavelength edge of a reflection peak of the reflection profile. Alignment of the lasing mode of the active section to the long wavelength edge of the reflection peak of the reflection profile is configured to suppress change in threshold current of the active section under external cavity optical feedback. The optical system is devoid of an optical isolator in an optical path between the optical fiber and the isolator-free laser.
Additional features and advantages of the invention will be set forth in the description which follows, and in part will be obvious from the description, or may be learned by the practice of the invention. The features and advantages of the invention may be realized and obtained by means of the instruments and combinations particularly pointed out in the appended claims. These and other features of the present invention will become more fully apparent from the following description and appended claims, or may be learned by the practice of the invention as set forth hereinafter.
To further clarify the above and other advantages and features of the present invention, a more particular description of the invention will be rendered by reference to specific embodiments thereof which are illustrated in the appended drawings. It is appreciated that these drawings depict only typical embodiments of the invention and are therefore not to be considered limiting of its scope. The invention will be described and explained with additional specificity and detail through the use of the accompanying drawings in which:
all arranged in accordance with at least one embodiment described herein.
This application is related to U.S. Pat. No. 10,063,032 issued Aug. 28, 2018 which is incorporated herein by reference.
Embodiments described herein include various directly modulated laser (DML) configurations suitable for isolator-free operation. Such DMLs may be referred to as isolator-free lasers. In general, each of the isolator-free lasers may realize a strong detuned-loading effect by aligning a lasing mode of the laser to a relatively steep filter or mirror edge. Accordingly, modulation of an active section of the laser may modulate cavity loss of the laser and increase intrinsic speed of the laser. Three example isolator-free lasers are described herein, including a distributed reflector (DR) laser, a two-kappa distributed Bragg reflector (DBR) laser, and a distributed feedback (DFB) laser with weak optical feedback (hereinafter DFB+R laser). Each of the DR laser, the two-kappa DBR laser, and the DFB+R laser will be described in turn. The principles described herein may be applied to other laser designs to achieve isolator-free operation.
Reference will now be made to the drawings to describe various aspects of example embodiments of the invention. It is to be understood that the drawings are diagrammatic and schematic representations of such example embodiments, and are not limiting of the present invention, nor are they necessarily drawn to scale.
The laser 100 may be configured to be insensitive to optical feedback from an external cavity and thus may be implemented without an optical isolator in optical systems that have historically required an optical isolator, e.g., systems that are intolerant to external cavity optical feedback. In this and other embodiments, the alignment of the lasing mode to the long wavelength edge of the peak of the DBR reflection profile may be configured to suppress change in threshold current of the DFB region 102 under in-phase external cavity optical feedback. For example, a reduction in threshold current and carrier density of the DFB region 102 caused by in phase external cavity optical feedback may be offset and/or canceled by an increase in threshold current of the DFB region 102 that results from reduction of reflectivity of the DBR region 102 caused by the reduction in carrier density. In this and other embodiments, a relative intensity noise (RIN) of the laser 100 under −20 decibels (dB), −10 dB, or even −5 dB or more external cavity optical feedback may be less than or equal to −140 dBc/Hz, less than or equal to −155 dBc/Hz, or even less. Embodiments described herein may alternatively include other lasers, such as two-kappa DBR lasers and DFB+R lasers, that are similarly configured to be insensitive to external cavity optical feedback.
Referring to
The gain section 109 of the DFB region 102 may include a DFB grating 114 and a multiple quantum well region (“MQW region”) 116. The DFB grating 114 may have a kappa of about 120 cm−1, or higher or lower than 120 cm−1. Generally, for instance, the DFB grating 114 may have a kappa in a range from 100 to 180 cm−1. The MQW region 116 may include multiple quantum wells. In some embodiments, the quantum wells may be compressively-strained and formed from aluminum gallium indium arsenide (AlGaInAs) or other suitable materials. In these and other embodiments, the DFB region 102 may have a length in a range from 30 micrometers (μm) to 100 μm and the gain section 109 may have a corresponding length. For instance, the DFB region 102 and the gain section 109 may each have a length of 50 μm in some embodiments.
The HR coating 112 may be formed from alternating layers of silicon (Si) and aluminum oxide (e.g., Al2O3) or other suitable materials. The HR coating 112 may have a reflectivity of approximately 93%, or higher or lower than 93%.
The DBR region 104 may extend from a backside 118 to a frontside 120 such that the frontside 107 of the DFB region 102 is in optical communication with the backside 118 of the DBR region 104. The DBR region 104 may be included as part of a passive section 110 of the laser 100. The DBR region 104 may include a passive grating section 122 that extends from the frontside 120 toward the backside 118 to optically communicate with the gain section 109 of the DFB region 102. An anti-reflective coating (“AR coating”) 124 may be disposed and/or formed on the frontside 120, in optical communication with the passive grating section 122.
The passive grating section 122 may include a DBR grating 126. The DBR grating 126 may have a kappa of about 180 cm−1, or higher or lower than 180 cm−1. Generally, for instance, the DBR grating 126 may have a kappa in a range from 100 to 200 cm−1. In some embodiments, the passive grating section 122 may be formed from InGaAsP for a bandgap wavelength of 1.1 μm-1.3 μm for lasing operation at 1300 nanometers (nm). In these and other embodiments, the DBR region 104 may range in length from 30 μm to 300 μm and the passive grating section 122 may range in length correspondingly. For instance, the DBR region 104 and the passive grating section 122 may have a length of 200 μm in some embodiments.
The AR coating 124 may be formed from Al2O3 and titanium dioxide (TiO2), such as a double-layer Al2O3/TiO2 AR coating, or other suitable layers and/or materials. The AR coating 124 may have a reflectivity of approximately 1%, or a reflectivity of more or less than 1%.
In an example embodiment, the DFB region 102 may be 50-100 μm in length and the DBR region 104 may be 200 μm in length, or more generally 150-250 μm in length. The DFB region 102 and the DBR region 104 may be integrated by a butt-joint process. The DFB grating 114 may extend to a length of approximately 50-100 μm. As already mentioned, the DFB grating 114 may have a grating strength kappa of approximately 120 cm−1 and the DBR grating 126 may have a grating strength kappa of approximately 180 cm−1. PN blocking layers may be grown for the buried-hetero structure and the parasitic capacitance in the blocking layer may be reduced by forming double channels (e.g., a double channel stripe), and using BCB under the contact pad. The estimated parasitic capacitance may be 0.37 picofarads (pF), providing an RC 3-dB cutoff frequency of 22 gigahertz (GHz) for the measure resistance of 20 ohms. In order to lower the parasitic capacitance, Fe-doped InP may be used for the current blocking region in the laser 100.
Each of the DFB region 102 and the DBR region 104 has a respective contact 128 or 130 through which a modulation signal 132 and/or bias 134 may be provided, as illustrated. A gap 136 is provided between the contact 128 of the DFB region 102 and the contact 130 of the DBR region 104, referred to as a contact gap 136. The contact gap 136 may be about 10 μm between the two contacts 128 and 130, or more or less than 10 μm. In some embodiments, the laser 100 may be implemented as a split-contact DR laser, in which case the contact 130 may be split in two.
As explained in further detail below, DR lasers according to some embodiments described herein may simultaneously exhibit two or more of a photon-photon (p-p) resonance (PPR) effect, a detuned-loading effect, and an in-cavity frequency modulation-to-amplitude modulation (FM-AM) conversion effect. At least one example embodiment of the DR lasers described herein may achieve a 3-dB bandwidth (BW) of 55 GHz and 112 Gb/s PAM-4 modulation. Alternatively or additionally, DBR lasers according to some embodiments described herein may simultaneously exhibit two or more of the PPR effect, the detuned-loading effect, and the in-cavity FM-AM conversion effect.
In more detail, the integrated external cavity formed by a passive waveguide (e.g., in the form of the DBR region 104) enables, during modulation, the excitation of an additional cavity mode located in the vicinity of the main lasing mode, which is the main DFB mode in the case of a DR laser. This causes a resonant enhancement of the modulation sideband that is close to the adjacent cavity mode. The PPR effect can be used to extend the modulation bandwidth beyond the bandwidth of the solitary DFB, which may be determined by the intrinsic resonant frequency (Fr). Some embodiments described herein include semiconductor lasers with photon-photon resonance frequency of 50-100 GHz, 20-80 GHz, or 70 GHz or less.
The detuned-loading effect is also known to enhance the modulation BW of DMLs. This effect has been reported for DBR lasers where the dispersive nature of a Bragg mirror dynamically changes the mirror loss and the penetration depth into the DBR section as the lasing frequency is modulated. When the lasing happens on the long-wavelength flank of the Bragg mirror, the laser chirp is translated into an effective enhancement of the differential gain, and thus improves the speed of the lasers.
With combined reference to
To maximize the detuned-loading effect, a relatively steep slope on the edge of the DBR region 104 may be realized. Also, if the laser cavity length is long, the space between longitudinal modes gets smaller. In this case, as the lasing wavelength is tuned on the edge of the DBR region 104, a mode hop can happen to the left side in
This situation is explained with reference to
As mentioned, the lasing mode 502 represents the lasing mode wavelength (or main mode) of the DFB region of the DR laser or more generally of an active region of a laser. The DBR reflection profile 500 additionally includes a dot labeled “508” (hereinafter “side mode 508”) just left of the peak 504 at a side mode wavelength of the DFB region. The side mode 508 is another mode on the opposite side of the DBR peak 504 from the lasing mode 502. When the phase condition of lasing changes, for example, by injection of current into the gain section (e.g., gain section 109 of
To avoid mode hop behavior, a DBR region with a relatively narrower peak in its DBR reflection profile may be used in the DR laser. Such a DBR region may result from forming the DBR region relatively longer in length with kL>2 where kappa is grating coupling coefficient and L is the length of the DBR region. A relatively shorter length for the DFB region may also help avoid mode hop behavior because the frequency spacing between the lasing mode 502 and the side mode 504 may increase with decreasing length of the DFB region, and can avoid mode hop. Use of a relatively stronger grating in the DFB region may also help to avoid mode hop by increasing the threshold gain difference between the main DFB mode (e.g., the lasing mode 502) and the DFB side mode (e.g., side mode 508).
Phase condition can be tuned also by current injection to the DBR section. In this case, the envelope of the DBR reflection profile may move toward the shorter wavelength.
Some embodiments described herein leverage PPR in combination with detuned-loading to improve performance of the laser. In short, PPR means there is an additional mode, e.g., the integrated external cavity mode 506 of
Embodiments described herein may locate the integrated external cavity mode 506 close to the main lasing mode (e.g., lasing mode 502) because the beat frequency of these modes can help the modulation response of the laser at around the corresponding frequency. To locate the integrated external cavity mode 506 close to the lasing mode 502, the DBR reflection profile may have a very sharp drop of reflection near the edge. For example, the long wavelength edge of the DFB reflection peak of the DBR reflection profile may have a slope of at least 0.006 GHz−1. Such a sharp drop of reflection near the edge can be realized, again, by using longer DBR length and corresponding kappa to realize kL>2 (corresponding reflection ˜>90%). Such a condition may also satisfy the condition for strong detuned-loading, so it is possible to achieve the two effects simultaneously.
The passive section 704 may include a first DBR section 706 and a second DBR section 708. The first DBR section 706 may have a first DBR grating 710 with a first kappa. The first DBR section 706 may be relatively short, such as 15 micrometers in length. The first kappa of the first DBR grating 710 may be relatively strong, such as 500 cm−1.
The second DBR section 708 may have a second DBR grating 712 with a second kappa. The second DBR section 706 may be relatively long, such as 150 micrometers. The second kappa of the second DBR grating 712 may be less than the first kappa of the first DBR grating 710. As illustrated in
The active section 702 may include a multiple quantum well (MQW) gain layer 714 or other suitable gain layer and may have a lasing mode. In the example of
An HR mirror 716, also referred to as a rear mirror, is formed on a rear facet of the active section 702. The HR mirror 716, the active section 702, and the first DBR section 706 may form a Fabry-Perot (FP) cavity 718, which may increase a longitudinal confinement factor of the two-kappa DBR laser 700 compared to uniform (e.g., single kappa) DBR lasers. Addition of the second DBR section 708 at the output of the FP cavity 718 creates the detuned-loading effect in the two-kappa DBR laser 700. Accordingly, modulation of the active section 702 may modulate cavity loss and increase intrinsic speed of the two-kappa DBR laser 700.
As illustrated in
In some embodiments, the two-kappa DBR laser 700 may further include a low reflection (LR) mirror formed at the output facet of the second DBR section 708 to improve side-mode suppression ratio (SMSR). The LR mirror may have a reflectivity of, e.g., 1% or less.
The laser 700 may be configured to be insensitive to optical feedback from an external cavity and thus may be implemented without an optical isolator in optical systems that have historically required an optical isolator. As described above, the alignment of the lasing mode to the long wavelength edge of the DBR reflection peak of the two-kappa DBR laser reflection profile 738 may be configured to suppress change in threshold current of the active section 702 under in-phase external cavity optical feedback. For example, a reduction in threshold current and carrier density of the active section 702 caused by in phase external cavity optical feedback may be offset and/or canceled by an increase in threshold current of the active section 702 that results from reduction of reflectivity of the passive section 704 caused by the reduction in carrier density. In this and other embodiments, a relative intensity noise (RIN) of the laser 700 under −20 decibels (dB), −10 dB, or even −5 dB or more external cavity optical feedback may be less than or equal to −140 dBc/Hz, less than or equal to −155 dBc/Hz, or even less.
Additional example aspects of two-kappa DBR lasers are provided in U.S. application Ser. No. 16/691,553 filed Nov. 21, 2019, which is incorporated herein by reference.
The DFB section 754 may include a DFB grating 756 formed in, on, and/or above a MQW gain layer 758 or other suitable gain layer. The DFB grating 756 may include first and second grating portions with a phase shift in between.
An HR mirror 760 is formed on a rear facet of the DFB section 754. A LR mirror 762 is formed on a front facet of the passive section 752. The LR mirror 762 may have a low reflectivity such as 7% or less. An etalon 764 is formed between a portion of the DFB grating 756 at the front of the DFB section 754 and the LR mirror 762. The laser 750 forms a complex-cavity design consisting of a DFB laser itself, e.g., the DFB section 754, and the etalon 764. The etalon 764 is configured to modify cavity loss dynamically due to frequency chirp as the DFB section 754 is modulated. The laser 750 may be referred to as a DFB+R (e.g., DFB plus (weak) reflector) laser 750. Although the LR mirror 762 is described as having a low reflectivity of 7% or less, more generally the etalon 764 may have a low effective reflectivity of 7% or less at its front facet.
The reflection profile 770 is a reflection profile of a DFB grating of the DFB+R laser (hereinafter DFB reflection profile 770). The reflection profile 772 is a reflection profile of the combined DFB grating and the LR mirror (with a reflectivity of 4%) at low bias (hereinafter combined low bias DFB+R reflection profile 772) when seen from the DFB section toward the output of the DFB+R laser. The reflection profile 774 is a reflection profile of the combined DFB grating and the LR mirror (with a reflectivity of 4%) at high bias (hereinafter combined high bias DFB+R reflection profile 774) when seen from the DFB section toward the output of the DFB+R laser. There is a shift from the combined low bias DFB+R reflection profile 772 to the combined high bias DFB+R reflection profile 772 when the bias increases due to gain compression of the DFB+R laser. This shift is smaller than the frequency chirp that occurs under modulation since the index of the passive section does not change dynamically.
As illustrated in
The laser 750 of
Additional example aspects of DFB+R lasers are provided in U.S. application Ser. No. 16/691,549 filed Nov. 21, 2019, which is incorporated herein by reference.
Embodiments described herein may alternatively or additionally include DR+R (e.g., DR plus (weak) reflector) lasers. The DR+R laser may combine aspects of, e.g., the DR laser 100 of
The modulation spectra of semiconductor lasers have ripples due to the periodic nature of the laser cavities in such lasers. When the phase of reflected light at a given wavelength matches the phase prior to reflection, constructive interference occurs, resulting in a corresponding ripple or peak at the given wavelength in the modulation spectrum. When the phase of the reflected light at a given wavelength does not match, destructive interference occurs, resulting in a corresponding valley at the given wavelength in the modulation spectrum. Inclusion of a DFB grating in the active section (e.g., as in DR lasers and DFB+R lasers) emphasizes one of the ripples, resulting in a main lasing mode. The period from peak to peak is proportional to the reflection cavity length; the shorter the cavity, the greater the spacing between ripples and the greater the separation of the ripples from the main lasing mode.
In some optical systems, semiconductor lasers emit optical signals into optical fibers. Some light may be reflected at the input of the optical fiber back toward the laser. Alternatively or additionally, some light may be reflected back toward the laser from cracks or breaks in the optical fiber. Each reflection surface external to the laser itself defines an external cavity. Light reflected back toward the laser from an external cavity may be referred to as external cavity optical feedback. Such external cavity optical feedback is distinguishable from the integrated external cavity mode associated with the PPR effect in that such external cavity optical feedback is reflected back toward the laser from a location that is completely external to the laser, whereas the integrated external cavity mode associated with the PPR effect is reflected from a location within the laser itself, e.g., from a deep penetration location within the DBR region in the case of a DR laser.
The external cavity optical feedback creates ripples in the modulation spectrum of the laser as a function of wavelength, similar to the ripples caused by reflection within the cavity itself. The external cavity optical feedback ripples may be smaller in amplitude than the in cavity ripples, but may be spaced much closer together and to the main lasing mode since the period from peak to peak is proportional to the cavity length and the cavity length of the external cavity optical feedback is much larger than the laser cavity length.
In an ideal laser, the modulation spectrum is completely stable and there is no noise in the optical signals emitted by the laser. Fundamentally, however, lasers exhibit fractuation, e.g., instability in the modulation spectrum arising from quantum mechanics. The amount of fractuation is referred to as the linewidth of the laser. When a neighboring external cavity mode, or ripple, from the external cavity optical feedback is sufficiently close to the main lasing mode, the fractuation couples into the external cavity mode and excites the external cavity mode. The coupling and hopping to the external cavity mode is random as noise, decreasing the signal to noise ratio (SNR) in the output of the laser when directly modulated.
The amount of fractuation in the modulation spectrum of the laser is referred to as the linewidth of the laser or the spectrum linewidth. For coherent applications and/or other applications, lasers with narrow linewidth are preferred. Linewidth is related to the alpha (a) parameter, also referred to as the linewidth enhancement factor. The smaller the alpha parameter, the smaller the linewidth. If the alpha parameter is taken to zero, the resulting linewidth will be very small. When the linewidth is small enough, the nearest external cavity mode may be sufficiently separated from the main lasing mode that the fractuation of the main lasing mode will not couple into the external cavity mode. Lasers that do not couple into and excite the external cavity mode under external cavity optical feedback may therefore be implemented in optical systems without an optical isolator.
It is difficult to take the alpha parameter to zero. For example, lasers with alpha parameter at or near zero have been hypothesized for quantum dot material as the active material of the lasers. A quantum dot is a small dot of material, about the size of the electron wave function, surrounded by a confinement material that provides 3D confinement. However, quantum dot-based lasers do not appear to be suitable for high-speed operation (e.g., 40-50 gigabits/sec (G) or higher) and have thus been limited to not more than about 20 G.
In comparison, lasers described herein include quantum wells and are suitable for high-speed operation. A quantum well is a buried sheet of material with only 1D confinement. Even so, embodiments of lasers described herein may have a sufficiently small alpha parameter to be implemented in optical systems without an optical isolator, e.g., as an isolator-free laser. Example isolator-free lasers described herein have an alpha parameter of 1.2 or lower, or even 1.0 or lower. For example, such isolator-free lasers may have an alpha parameter of about 0.6.
As already described herein, some embodiments leverage the detuned-loading effect, e.g., by aligning the main lasing mode of the laser to the long wavelength edge of a reflection profile (e.g., a DBR reflection profile or etalon reflection profile) of the laser. The behavior of a laser that leverages the detuned-loading effect according to at least one embodiment will now be described with respect to
When the laser is modulated (e.g., through modulation of the active section), lasing frequency changes due to frequency chirp toward shorter wavelength as the modulation goes from the bias for the 0 bits to the bias for the 1 bits and toward longer wavelength as the modulation goes from the bias for the 1 bits to the 0 bits. The frequency/wavelength of the main lasing mode 806 for each of the 1 and 0 bits is designated in
The frequency chirp caused by modulation results in a change in reflection as the main lasing mode 806 moves up and down the long wavelength edge of the reflection profile 804. In particular, when the modulation goes from the bias for the 0 bits to the 1 bits, the wavelength of the main lasing mode 806 shifts toward shorter wavelength resulting in increased reflection and thus lower loss. When the modulation goes from the bias for the 1 bits to the 0 bits, the wavelength of the main lasing mode 806 shifts toward longer wavelength resulting in decreased reflection and thus higher loss. The reflectivity of the DBR region of the laser at the wavelengths corresponding to each of the 1 and 0 bits is designated in
The speed or resonant frequency Fr of the laser is proportional to the square root of the differential gain dg/dN, where the differential gain dg/dN is the gain change dg with carrier density change dN. Modulation of the active section causes carrier density change dN, which in turn causes gain change dg. The carrier density change dN from modulation also causes index change dn in the laser through the plasma effect. The index change dn causes the frequency chirp, which in turn causes the reflectivity change of the DBR section when the main lasing mode 806 is aligned to the long wavelength edge 808 of the DBR reflection profile 804. The carrier density N increases as the reflectivity increases, where the increase in reflectivity is effectively a decrease in loss. Thus, the differential gain dg/dN effectively increases as the carrier density N increases, which increases the speed of the laser since the speed of the laser is proportional to the square root of the differential gain dg/dN.
A reduction of the linewidth enhancement factor was discussed in the context of detuned-loading effect in 1988 in Klaus Petermann, “Laser Diode Modulation and Noise,” Kluwer Academic Publishers, ISBN0-7923-1204-X (1988), which is incorporated herein by reference. The detuned-loading effect can effectively enhance the differential gain, and therefore it can reduce the effective linewidth enhancement factor (a.k.a. structure alpha):
where τL is the cavity roundtrip time, α is the linewidth enhancement factor as a material parameter without detuned-loading effect, and rm and φr are the reflectivity and phase of the DBR mirror, respectively, at the position of the lasing mode.
The reduction of the effective alpha parameter can increase the reflection tolerance of lasers according to formula 2:
where R is the facet reflectivity facing to the reflection plane, K is the K-factor, and γ0 is the damping factor offset. See Jochen Helms et. al., “A simple analytic expression for the stable operation range of laser diodes with optical feedback,” IEEE J. Quantum Electron., 26, 833-836 (1990), which is incorporated herein by reference. This shows that the reduction of the effective alpha parameter can increase the reflection tolerance.
Some of the light that exits the laser cavity is reflected by the external cavity back into the laser cavity, e.g., as external cavity optical feedback. External cavity optical feedback that is out of phase with the light in the laser cavity is ignored by the laser cavity. External cavity optical feedback that is in phase with the light in the laser cavity increases the amount of seed light in the laser cavity which decreases the threshold current Ith of the laser cavity. The reduction in threshold current Ith reduces the carrier density N. The reduction in carrier density N shifts the main lasing mode to longer wavelength. When the main lasing mode is shifted to longer wavelength, the mirror reflectivity of the DBR mirror decreases (see
The feedback loop may operate as follows. First, under external cavity optical feedback, the threshold current Ith and thus threshold carrier density Nth may be reduced. The threshold carrier density Nth may include the carrier density N associated with the threshold current Ith. Second, the reduction in threshold carrier density Nth shifts the main lasing mode 1012 to longer wavelength. Third, when the main lasing mode 1012 is shifted to longer wavelength, the mirror reflectivity R of the DBR mirror is reduced due to the detuned-loading effect. Fourth, when the mirror reflectivity is reduced, the threshold current Ith and thus the threshold carrier density Nth increases. The increase in the threshold current Ith and the threshold carrier density Nth cancels or at least partially cancels the decrease in the threshold current Ith and the threshold carrier density Nth from the external cavity optical feedback. A similar feedback loop may occur in the other isolator-free lasers described herein, such as in the laser 100 of
Unless specific arrangements described herein are mutually exclusive with one another, the various implementations described herein can be combined in whole or in part to enhance system functionality or to produce complementary functions. Likewise, aspects of the implementations may be implemented in standalone arrangements. Thus, the above description has been given by way of example only and modification in detail may be made within the scope of the present invention.
With respect to the use of substantially any plural or singular terms herein, those having skill in the art can translate from the plural to the singular or from the singular to the plural as is appropriate to the context or application. The various singular/plural permutations may be expressly set forth herein for sake of clarity. A reference to an element in the singular is not intended to mean “one and only one” unless specifically stated, but rather “one or more.” Moreover, nothing disclosed herein is intended to be dedicated to the public regardless of whether such disclosure is explicitly recited in the above description.
In general, terms used herein, and especially in the appended claims (e.g., bodies of the appended claims) are generally intended as “open” terms (e.g., the term “including” should be interpreted as “including but not limited to,” the term “having” should be interpreted as “having at least,” the term “includes” should be interpreted as “includes but is not limited to,” etc.). Furthermore, in those instances where a convention analogous to “at least one of A, B, and C, etc.” is used, in general, such a construction is intended in the sense one having skill in the art would understand the convention (e.g., “a system having at least one of A, B, and C” would include but not be limited to systems that include A alone, B alone, C alone, A and B together, A and C together, B and C together, or A, B, and C together, etc.). Also, a phrase presenting two or more alternative terms, whether in the description, claims, or drawings, should be understood to include one of the terms, either of the terms, or both terms. For example, the phrase “A or B” will be understood to include the possibilities of “A” or “B” or “A and B.”
The present invention may be embodied in other specific forms without departing from its spirit or essential characteristics. The described embodiments are to be considered in all respects only as illustrative and not restrictive. The scope of the invention is, therefore, indicated by the appended claims rather than by the foregoing description. All changes which come within the meaning and range of equivalency of the claims are to be embraced within their scope.
This application claims the benefit of and priority to U.S. Provisional Patent App. No. 62/908,990 filed Oct. 1, 2019. The 62/908,990 application is incorporated herein by reference.
Number | Date | Country | |
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62908990 | Oct 2019 | US |