The present disclosure relates to laser diodes characterized by multi-wavelength emission and, more particularly, to distributed Bragg reflector (DBR) laser diodes where the wavelength selective grating of the laser diode generates reflections at multiple wavelengths simultaneously. The resulting laser output spectrum includes signals at multiple wavelengths. The present disclosure also relates to the use of a multi-wavelength laser diodes as a pump source for frequency up-conversion through second-harmonic (SHG) and sum-frequency (SFG) generation, as can be applied for conversion of an IR pump to emission in the green portion of the optical spectrum for example.
Concepts of the present disclosure are particularly well-suited for speckle-reduced synthetic laser sources emitting, for example, in the green portion of the optical spectrum because, to reduce speckle, laser sources preferably emit several wavelengths simultaneously and may utilize a SHG, SFG, or other type of wavelength conversion device with multiple phase-matching conversion peaks. The present inventors have recognized that when a DBR pump laser is operated in relatively short-pulsed regime, all wavelengths substantially reflected by the wavelength selective grating of the DBR laser are generated simultaneously in the laser output spectrum. Accordingly, the ideal grating for the pump laser should reflect only the desired predetermined small number of pump wavelengths that can be frequency up-converted through SHG or SFG utilizing the available phasematching peaks of the wavelength conversion device. Lasing at other pump wavelengths is seen as parasitic and can reduce overall efficiency of the device since these additional pump wavelengths do not participate in the frequency up-conversion process. For many useful projection surfaces, up-converted output wavelengths are preferably separated by about 0.4 nm or more to allow speckle reduction via the addition of uncorrelated speckle patterns. For example, if two pump IR wavelengths λ1 and λ2 produce three green output wavelengths 0.5 λ1, 0.5 λ2, and 0.5(λ1+λ2), via SHG and SFG, the two pump wavelengths should be separated by more than about 1.6 nm, so that the three green output wavelengths can be separated by more than about 0.4 nm.
Referring initially to
Generally, the device length of the laser 10 will be limited. In practice most of the device length is typically allocated to gain section 14 of the laser 10 and the length of the DBR section 12 is often limited to approximately 700 μm. The present inventors recognize that the grating of the DBR section 12 should be designed to exhibit high reflectivity at two or three desired pump (IR) wavelengths, separated preferably by more than about 1.6 nm. Further, the reflectivity of the DBR section 12 at other wavelengths should be as small as possible to avoid efficiency reduction due to generation of unused IR light. In many cases, the respective reflectivities of individual peaks of the grating should be approximately equal to allow stable operation of the pump laser simultaneously at all desired wavelengths over a wide range of pump power levels. In some embodiments, the respective reflectivities of individual peaks of the grating are tailored to compensate for existing slope in the gain spectrum of the laser. In some embodiments involving DBR grating with 3-peak wavelength response, the optimum magnitude of the central peak may be smaller than the magnitudes of the two outer peak for facilitating maximum speckle reduction when combined with an SHG-device with 5-peak QPM-response spectrum. The present inventors have recognized that an optimum range of ratios of the three peaks of the DBR response for speckle-reduction applications is between about 2:1:2 and about 1:1.5:1.
In accordance with one embodiment of the present disclosure, a DBR laser diode is provided where the phase φ of the wavelength selective grating is characterized by periodic phase jumps of period ΛPM and modulation depth φJ and the phase jumps of the wavelength selective grating are arranged substantially symmetrically, antisymmetrically, or asymmetrically about a midpoint of the DBR section along an optical axis of the DBR laser diode. The length of the wavelength selective grating along the optical axis of propagation of the DBR laser diode is (i) between approximately (m+0.01)ΛPM and approximately (m+0.49)ΛPM, when the phase distribution is substantially symmetric with respect to the midpoint of the DBR section, (ii) between approximately (m−0.49)ΛPM and approximately (m−0.01)ΛPM when the phase distribution is substantially antisymmetric with respect to the midpoint of the DBR section, and (iii) between approximately (m+0.6)ΛPM and approximately (m+0.9)ΛPM when the phase distribution is substantially asymmetric with respect to the midpoint of the DBR section. The modulation depth φJ is preferably between approximately 0.727 and approximately 1.147.
The following detailed description of specific embodiments of the present disclosure can be best understood when read in conjunction with the following drawings, where like structure is indicated with like reference numerals and in which:
As is noted above, the DBR laser diode 10 illustrated in
As will be appreciated by those familiar with DBR lasers, a DBR section of a DBR laser comprises a Bragg mirror, i.e., a wavelength-selective light-reflecting device based on Bragg reflection at a periodic structure. The periodicity of the structure of the DBR section defines the Bragg wavelength λB of the laser as follows
λB=2neffλ/md
where Λ is the fundamental period of the Bragg grating, neff is the effective refractive index of the guided mode in the region of the grating, and md is the diffraction order. In one example, a DBR laser using GaAs as the grating and gain medium, the grating period for a first-order grating with md=1 is about 159 nm for a Bragg wavelength of about 1062 nm.
The phase φ of the wavelength selective grating is characterized by periodic phase jumps of period ΛPM and modulation depth φJ that are designed to generate two or more reflectivity peaks in the form of sidebands S1, S2 about the central Bragg wavelength ΛB of the grating, as is illustrated in
where λB is the Bragg wavelength attributable to a non-modulated grating, i.e., the center wavelength of the reflection spectrum of the modulated grating, and Ngeff is the group effective index of the laser waveguide optical mode in the region of the grating. For example, and not by way of limitation, it is contemplated that the phase modulation period ΛPM of the wavelength selective grating can be between approximately 20 μm and approximately 200 μm. These phase modulations can be obtained in practice by longitudinally shifting discrete sections of the grating by a distance φΛ/2π, where φ is the required phase shift and Λ is the fundamental period of the unperturbed grating. Methods to achieve this are well documented in the art and include, for example, using e-beam lithography with the shifts incorporated into the lithography patterns. In some cases when an even number of major reflectivity peaks is pursued, the central peak at wavelength λB is substantially suppressed, and the period of phase modulation is selected at twice the value prescribed by the aforementioned equation, to result in peak spacing of Δλ. E.g., for obtaining an even number of peaks spaced by Δλ, with suppressed central peak at λ=λB, the period of phase modulation may be selected as
The length LDBR of the wavelength selective grating along the optical axis of propagation of the DBR laser diode 10 is also illustrated in
Standard Symmetry. When the phase jumps of the wavelength selective grating are arranged about a midpoint of the DBR section in such a way that the graphical representation of the phase distribution is substantially symmetric with respect to the same midpoint of the DBR section, the length of the wavelength selective grating is suitably between approximately (m+0.01)ΛPM and approximately (m+0.49)ΛPM, and, in many cases, more preferably between (m+0.1)ΛPM and approximately (m+0.4)ΛPM or between approximately (m+0.15)ΛPM and approximately (m+0.35)ΛPM. It should be understood that these ranges of suitable lengths are also applicable for substantially-symmetric phase modulation cases where the phase distribution can be represented as originally symmetric phase distribution that has been longitudinally shifted along the optical axis by up to 15% of the period of phase modulation, or where the phase distribution can be represented as originally a symmetric phase distribution that has been then truncated on one or both sides in such a way that up to 15% of a period of phase modulation has been removed from or added to the total optimum length of phase modulation. Such cases can often be observed in practice, for example, when cleaving of the DBR laser occurs in a somewhat random fashion, leading to variation of the beginning of end of the DBR grating compared to the designed beginning or end. These types of limited deviations from truly symmetric phase modulation formats should be considered within the scope of the substantially symmetric embodiments described herein.
Anti-symmetry. In antisymmetric configurations, the segment lengths of each phase segment on opposite sides of the midpoint CL of the DBR section 12 are equal but the phase values associated with each segment are equal and opposite in sign. For example, in the embodiment illustrated in
Asymmetry. When the phase jumps of the wavelength selective grating are arranged asymmetrically about a midpoint of the DBR section, the length of the wavelength selective grating is suitably between approximately (m+0.6)ΛPM and approximately (m+0.9)ΛPM and, in many cases, more preferably between approximately (m+0.7)ΛPM and approximately (m+0.8)ΛPM.
Although typical DBR lasers are of limited length, the DBR section 12 of the laser diode 10 is effective at relatively limited lengths, i.e., lengths between approximately 600 μm and approximately 750 μm. More specifically, given the above-noted range for the length LDBR it is contemplated that the integer m may be as low as 1 and as high as 10, noting that smaller values of m will be more likely to result in improved performance in terms of overall efficiency and suppression of parasitic spectral peaks. In some embodiments, it is contemplated that m will be 2, 3, 4, or 5. Effective wavelength selective gratings can be configured where the length LDBR is less than approximately 700 μm and the positive integer m is ≦8. In other embodiments, the length of the wavelength selective grating can be restricted to be approximately (m+0.2)ΛPM. One optimum configuration, for a GaAs DBR laser diode, utilizes a grating length of 4.2ΛPM and a phase modulation period of 158.645 μm, which yields a sideband separation of approximately 2 nm and a grating length of 666 μm. A longer grating length in this case would increase the magnitude of the desirable sidebands. In some embodiments, particularly those with first-order DBR gratings, the grating length may be between (m+0.01)ΛPM and (m +0.49)ΛPM, where m=2 and the spacing of the two reflectance sidebands is adequate to meet the requirements of speckle reduction, for example. The reflectivity of the main sidebands S1 and S2 can be maximized by optimizing the ratio between grating length and the phase modulation period to suppress unwanted higher-order sidebands.
As is illustrated in
In one embodiment, referring to
The embodiments of
Although not required, the period ΛPM and modulation depth φJ of the phase jumps do not vary along the optical axis of the DBR laser diode. It is contemplated, however, that the modulation depth φJ of the phase jumps may vary along the optical axis of the DBR laser diode by as much as approximately 0.15π. In addition, the period of phase modulation may vary up to approximately 25%, which would result in some broadening of the reflection peaks which may be desirable in some cases. A symmetric periodic phase modulation in the form of periodic phase jumps can be mathematically described with the phase distribution formula
Symmetric trapezoidal phase modulation is similar, except that the jumps are presented in the form of ramps, and the constant-phase regions are shortened symmetrically to plateaus characterized by a plateau duty cycle. The plateau duty cycle may vary between the extreme cases of 0 (triangular phase distribution) and 1 (rectangular phase distribution, as in
Similarly, an antisymmetric periodic phase modulation can be mathematically described with the phase distribution formula
A trapezoidal antisymmetric phase distribution can be obtained from the above phase-jump sequence by replacing the phase jumps with ramps and shortening correspondingly the constant-phase segments in accordance with a prescribed plateau duty cycle. For antisymmetric phase distributions, discussed in further detail below with reference to
The embodiments of
As is illustrated in
Alternatively, the relative magnitudes of the two reflectance peaks can be changed by shifting the phase profile with respect to the device center, i.e., along the x-axis of the phase diagrams illustrated in
It is noted that terms like “preferably,” “commonly,” and “typically,” when utilized herein, are not utilized to limit the scope of the claimed invention or to imply that certain features are critical, essential, or even important to the structure or function of the claimed invention. Rather, these terms are merely intended to identify particular aspects of an embodiment of the present disclosure or to emphasize alternative or additional features that may or may not be utilized in a particular embodiment of the present disclosure.
For the purposes of describing and defining the present invention it is noted that the terms “substantially” and “approximately” are utilized herein to represent the inherent degree of uncertainty that may be attributed to any quantitative comparison, value, measurement, or other representation. The terms “substantially” and “approximately” are also utilized herein to represent the degree by which a quantitative representation may vary from a stated reference without resulting in a change in the basic function of the subject matter at issue.
Having described the subject matter of the present disclosure in detail and by reference to specific embodiments thereof, it is noted that the various details disclosed herein should not be taken to imply that these details relate to elements that are essential components of the various embodiments described herein, even in cases where a particular element is illustrated in each of the drawings that accompany the present description. Rather, the claims appended hereto should be taken as the sole representation of the breadth of the present disclosure and the corresponding scope of the various inventions described herein. Further, it will be apparent that modifications and variations are possible without departing from the scope of the invention defined in the appended claims. More specifically, although some aspects of the present disclosure are identified herein as preferred or particularly advantageous, it is contemplated that the present disclosure is not necessarily limited to these aspects.
It is noted that one or more of the following claims utilize the term “wherein” as a transitional phrase. For the purposes of defining the present invention, it is noted that this term is introduced in the claims as an open-ended transitional phrase that is used to introduce a recitation of a series of characteristics of the structure and should be interpreted in like manner as the more commonly used open-ended preamble term “comprising.”