Japanese Journal of Applied Physics 48 (2009) 03A039 BRIEF NOTE Mode-Hopping Detection Technique for External-Cavity Laser Diodes Masaki Tanaka, Shinya Yoshida, Yukiko Nagasaka, Tetsuo Saeki1 , Yukio Watanabe, Hiroyuki Oka2 , Takahiro Miyake, Tetsuo Ueyama1 , and Yukio Kurata Optical Module Technology Research Laboratories, Production Technology Development Group, Sharp Corporation, 2613-1 Ichinomoto, Tenri, Nara 632-8567, Japan 1 A1257-1 Project Team (A), Sharp Corporation, 247 Sojo, Nutanishi, Mihara, Hiroshima 729-0474, Japan 2 Engineering Department 2, Compound Semiconductor Systems Division, Electronic Components Group, Sharp Corporation, 247 Sojo, Nutanishi, Mihara, Hiroshima 729-0474, Japan Received September 16, 2008; revised November 28, 2008; accepted December 5, 2008; published online March 23, 2009 We developed an external-cavity laser diode (ECLD) for a holographic memory system with a wavelength tunability of 5 nm. To stabilize the single-mode operation, a mode-hopping detection technique using a time differential of output voltages of a single-element photodiode is proposed. By changing the drive current of the laser diode, we could obtain mode detection signals when the ECLD was in multimode operation. This result indicates that this technique is suitable for maintaining a stable single-mode operation of the ECLD. # 2009 The Japan Society of Applied Physics DOI: 10.1143/JJAP.48.03A039 C onsiderable studies have been conducted to develop holographic memory systems and their recording density has exceeded 500 GB/in.2 .1–3) In addition, the holographic read-only memory (ROM) reader drives for consumer electronics are under development.4,5) For such ROM drives, a small wavelength-tunable light source is required. In the holographic memory systems, information is recorded onto the media, in many cases made of photopolymer materials, as three-dimensional interference patterns.6) Generally, holographic media, made of photopolymer materials, are markedly affected by temperature. Thermal expansion or shrinkage of the material causes geometric deformation of recorded holograms leading to defective reconstruction of holograms.7) Such a dimensional change is compensated for by tuning both the wavelength and incident angle of the reference beam to match Bragg diffraction conditions. An external-cavity laser diode (ECLD) is suitable for use as the light source of the holographic memory because of various advantages, such as its wide-range wavelength tunability, pure single-longitudinal-mode operations, cost effectiveness, and compact size compared with other lasers.8) However, the ECLD has several cavities formed by the reflection grating and rear facet of a laser diode, the rear and front facets of the laser diode, and the front facet and the reflection grating. These cavities may disturb the single-longitudinal-mode operation of the ECLD and cause mode hopping between modes. To avoid mode hopping, a mode-hopping detection method using a multisegmented photodiode has been used and stabilizes the single-mode operation.9,10) In this paper, we propose a mode-hopping detection technique using a time differential of output voltages of a single-element photodiode, which will allow a cost reduction of the ECLD in future manufacturing processes and a simple algorithm for mode detection. We detected rapid fluctuations of output voltage caused by mode hopping and successfully determined the drive current value to avoid multimode operation. Figure 1 shows a schematic of the optical setup. A Littrow arrangement is used to shorten the external cavity and maintain a stable single-longitudinal-mode operation. The diffraction grating and mirror are mounted on the same rotor to maintain the direction of the output beam when the wavelength is changed. The thermistor and peltier device are SIDM Unit Rotor Single-element photodiode Tilt sensor Wedge beam splitter Variable attenuator Output power monitor Grating Wedge beam splitter Collimator (f = 4.02 mm, NA = 0.6) Laser diode Fig. 1. (Color online) Schematic of the optical setup. attached to the laser holder to control the temperature of the laser stem. The rotor is turned by a smooth impact drive mechanism (SIDM) unit, which is used in an optical pick-up module. The resolution of the rotation angle is 0.0001 / pulse. The absolute wavelength is controlled using the rotation angle of the rotor measured by the tilt sensor. The light beam emitted from the blue laser diode is collimated by the collimation lens ( f ¼ 4:02 mm) and diffracted by the grating (grating resolution: 3600/mm). The first-order diffraction efficiency of the grating is designed to be 20% to balance the stability of the external cavity mode and the output power. The first-order diffraction beam passes through the collimation lens again and returns to the facet of the blue laser diode. The 0th-order diffracted beam is reflected by the mirror, passes through the wedge prism, and becomes the output light beam. The light beams reflected by both surfaces of the wedge prism interfere, and the fringe patterns are detected by the photodiode. We detect mode hopping using the time-differential value of the output voltage of the single-element-photodiode, and we can assemble the setup without precisely aligning fringe patterns to the element of the detector. Moreover, the manufacturing tolerance of the wedge prism can be relatively large. The ECLD selects a single wavelength from the optical gain range of the laser diode using the wavelength selectivity of the grating and external cavity. The oscillation mode spacing of the external cavity, ECLD , is expressed as 03A039-1 # 2009 The Japan Society of Applied Physics M. Tanaka et al. 0 35 -5 30 Output power (mW) Normalized intensity (dB) Jpn. J. Appl. Phys. 48 (2009) 03A039 -10 -15 -20 -25 -30 -35 407.48 407.50 407.52 407.54 407.56 407.58 ECLD Laser Diode 25 20 15 10 5 0 Wavelength (nm) 0 Fig. 2. Normalized spectrum of the ECLD. Fig. 3. ECLD ¼ 2 ¼ 6:4 103 nm; 2ðLLD Neff þ LEC Þ ð1Þ LD 40 60 80 100 Output power (mW) ð2Þ Ideally, the reflectivity of the front facet is desired to be as low as possible to suppress the disturbing resonators formed by the front facet of the laser diode, the grating and both facets of the laser diode.11) The front facet of the laser diode is coated with a SiO2 antireflection layer whose reflectivity is 0.25%. The reflectivity of the rear facet is set to be 95%. As shown in Fig. 2, the ECLD is operated in the single longitudinal mode with a side-mode suppression rate of 15 dB. This rate may be improved by modifying the wavelength selectivity of the grating and lowering the reflectivity of the front facet of the laser diode. The line width of the ECLD was within 7 103 nm full width at half-maximum. Two side modes at around 30 103 nm from the center wavelength were observed, which were attributed to the neighboring laser diode chip modes. Figure 3 shows the optical output of the ECLD. The threshold current of the laser diode was 62 mA and that of the ECLD was 52 mA. Generally, the higher reflectivity of the cavity reduces the threshold current, resulting in a threshold current difference of 10 mA. As shown in this figure, we could achieve a maximum optical output of up to 30 mW when the current was 95 mA. However, the operation at this current may reduce the lifetime of the laser diode. Figure 4 shows the relationship between the wavelength and optical output of the ECLD at an injection current of 90 mA. The optical output reached a maximum value at a wavelength of approximately 410.7 nm and then decreased as the wavelength decreased above the wavelength of 410.7 nm. The optical output profile is asymmetrically shaped with respect to the wavelength of 410.7 nm. This asymmetry was considered to be due to the output spectrum of the laser diode and the coupling efficiency of the light Optical output of the ECLD and laser diode. 30 where LLD is the cavity length of the laser diode, LEC is the external cavity length, and Neff is the effective refractive index of the laser diode. We use a blue laser diode whose is 408 nm, LLD is 800 mm, Neff is 3.4, and LEC is 10.3 mm. Sometimes, the single-mode operation is disturbed by the neighboring laser diode chip modes whose spacing LD is expressed as 2 ¼ ¼ 30:6 103 nm: 2LLD Neff 20 Injected current (mA) 25 20 15 10 5 0 407 408 409 410 411 412 Wavelength (nm) Fig. 4. Relationship between the output power and the wavelength. beam diffracted by the grating to the laser diode facet through the collimating lens. The coupling efficiency could be changed when the wavelength was changed by rotating the grating because of the assembling accuracy; accordingly, the oscillating gain of the ECLD was considered to also be changed. We defined the allowed power variation as 30% from the maximum, and the tunable range of the wavelength is 5 nm. To compensate for Bragg detuning caused by a temperature variation between recording and reading, wavelength tunability should be an indispensable property. We estimated how many wavelengths are required when we use the holographic memory system described in our previous paper.12) We assume that the numerical aperture of the objective lens is 0.5, the incident angle of the chief signal ray is 40 , and the wavelength of the light source is 405 nm. When a photopolymer material is held between glass substrates, we can neglect the thermal effect on the substrates because the expansion coefficient of glass is very low compared with that of photopolymer materials.7) When temperatures differ by 10 and 20 C from that of recording, the required wavelengths were estimated to be 2:4 and 4:8 nm, respectively. Accordingly, our laser could compensate Bragg detuning caused by the temperature variation of 10 C. As described above, wavelength tunability is important when holograms are read and the stability of the single-mode 03A039-2 # 2009 The Japan Society of Applied Physics operation is important when holograms are recorded. A pure single-mode operation of an ECLD is sometimes disturbed by drift of laser driving current and ambient temperature, and migration into multimode operation. When the ECLD that oscillates in multiple longitudinal modes is used in the holographic recording system, the contrast of recorded interference patterns decreases, resulting in a waste of the dynamic range of recording media. In this paragraph, we describe how we detected mode hopping and maintained single-mode operation. The light beam is reflected by the mirror mounted on the rotor and led to the wedge prism, the angle of which is 0.05 . The lights reflected at the incident and exit surfaces of the wedge prism enter the photodiode and form interference patterns on the detector of the photodiode. The photodiode has a singleelement detector whose width is designed to be one-half the cycle of the fringe pattern (124 mm). The sampling frequency of the photodiode is 500 kHz. When ECLD operates in the single mode, the signal VPD detected by the photodiode is almost constant and the time variation of VPD decreases. When mode hopping occurs, the interference pattern turns to black and white rapidly, and the time variation of VPD increases. We define the operation-mode detection signal SM as SM ¼ VPD ; t ð3Þ where VPD is the difference between the maximum and minimum values of VPD . We set the unit time t at 10 ms. The maximum and minimum values of VPD were selected from the detected values in t. SM is compared with a threshold value Sth , and if SM is larger than Sth , the current state is judged as the multimode operation. By increasing the drive current, we detect SM and record the drive current value as In when SM is larger than Sth . After changing the drive current, a pair of In and Inþ1 which have the largest value of jInþ1 In j is searched and the intermediate value ðIn þ Inþ1 Þ=2 is set as the new drive current. By using these procedures, mode hopping is actively avoided and the single-longitudinal-mode operation can be maintained. Figure 5 shows wavelengths and SM obtained when the drive current was increased from 70 to 102 mA at a rate of 1 mA/s. With increasing drive current, the wavelength increased. This is because the numbers of electrons and holes in the active layer of the laser diode increased, with increasing injection current; accordingly, the effective refractive index Neff increased, leading to an increase in the optical length of the external cavity. When the wavelength increased and entered the edge of the range selected by the grating, the operating mode competed with neighboring modes and mode hopping occurred. As the wavelength shifted with increasing drive current, fringe patterns moved gradually on the photodetector, the output signal voltage varied in a sinusoidal shape, and the time differential of VPD decreased. When the drive current was tuned to the value of multimode operation, the fringe patterns fluctuated rapidly and the deviation value of output voltage increased. Thus, 401.35 1.6 401.30 1.2 401.25 0.8 401.20 0.4 401.15 65 0 70 75 80 85 90 95 Mode detection signal (V) M. Tanaka et al. Wavelength (nm) Jpn. J. Appl. Phys. 48 (2009) 03A039 100 105 Injected current (mA) Fig. 5. (Color online) Wavelengths and operation mode detection signal SM of the ECLD. we could determine the value of the drive current at which the mode hopping occurred. Mode detection signals were obtained when the ECLD was operated in multiple modes, as shown in Fig. 5. This result shows that the proposed technique is suitable for mode-hopping detection. In conclusion, we developed an ECLD that operates in the pure single longitudinal mode and proposed a mode-hopping detection technique for the ECLD using a time differential of output voltages of a single-element photodiode. By changing the drive current of the laser diode, we could obtain a mode detection signal, which indicates that this technique is suitable for maintaining the single-mode operation of the ECLD. 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