• Laser & Optoelectronics Progress
  • Vol. 57, Issue 11, 111427 (2020)
Meng Li1、2, Qian Zhang1、2, Dong Yang1、2, Qihuang Gong1、2、3, and Yan Li1、2、3、*
Author Affiliations
  • 1State Key Laboratory for Artificial Microstructure and Mesoscopic Physics, School of Physics, Peking University, Beijing 100871, China
  • 2Frontiers Science Center for Nano-Optoelectronics, Peking University, Beijing 100871, China
  • 3Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, Shanxi 0 30006, China
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    DOI: 10.3788/LOP57.111427 Cite this Article Set citation alerts
    Meng Li, Qian Zhang, Dong Yang, Qihuang Gong, Yan Li. Femtosecond Laser Writing of Depressed Cladding Waveguide and Its Applications[J]. Laser & Optoelectronics Progress, 2020, 57(11): 111427 Copy Citation Text show less
    Three types of waveguides directly written by femtosecond laser and their cross-sectional configurations (insets). (a) Type I; (b) type II; (c) depressed cladding waveguide[18]
    Fig. 1. Three types of waveguides directly written by femtosecond laser and their cross-sectional configurations (insets). (a) Type I; (b) type II; (c) depressed cladding waveguide[18]
    Waveguide structures written by femtosecond laser in ZBLAN glass with different numbers of lower refractive index tracks. (a) 6; (b) 12; (c) 24[41]
    Fig. 2. Waveguide structures written by femtosecond laser in ZBLAN glass with different numbers of lower refractive index tracks. (a) 6; (b) 12; (c) 24[41]
    End view of waveguides written by femtosecond laser in TWB-2 glass plate[46]
    Fig. 3. End view of waveguides written by femtosecond laser in TWB-2 glass plate[46]
    Microscopic images of depressed cladding waveguide end facets with different cross-sectional diameters written by femtosecond laser in PTR glass[47]
    Fig. 4. Microscopic images of depressed cladding waveguide end facets with different cross-sectional diameters written by femtosecond laser in PTR glass[47]
    End view of depressed cladding waveguides with different cross sections inscribed in Nd∶YAG crystal. (a) Rectangular[8]; (b) round[48]
    Fig. 5. End view of depressed cladding waveguides with different cross sections inscribed in Nd∶YAG crystal. (a) Rectangular[8]; (b) round[48]
    Optical microscopic images of cross sections of 4 depressed cladding waveguides inscribed in LiNbO3 and locations of waveguides indicated by red circles[55]
    Fig. 6. Optical microscopic images of cross sections of 4 depressed cladding waveguides inscribed in LiNbO3 and locations of waveguides indicated by red circles[55]
    Depressed cladding waveguides with different diameters inscribed in ZnS crystal. (a) 50 μm; (b) 100 μm; (c) 150 μm[56]
    Fig. 7. Depressed cladding waveguides with different diameters inscribed in ZnS crystal. (a) 50 μm; (b) 100 μm; (c) 150 μm[56]
    Performance characterization of depressed cladding waveguide inscribed in sapphire. (a) Cross-section of depressed cladding waveguide inscribed in sapphire;(b) near-field intensity profile measured at waveguide's output at wavelength of 2850 nm; (c) radial refractive index profiles measured after successive annealing cycles and peak refractive index change of waveguides inscribed by lasers with different energies and under different annealing temperatures[57<
    Fig. 8. Performance characterization of depressed cladding waveguide inscribed in sapphire. (a) Cross-section of depressed cladding waveguide inscribed in sapphire;(b) near-field intensity profile measured at waveguide's output at wavelength of 2850 nm; (c) radial refractive index profiles measured after successive annealing cycles and peak refractive index change of waveguides inscribed by lasers with different energies and under different annealing temperatures[57<
    Depressed cladding waveguides inscribed in Ti2O3-doped sapphire by 795 nm femtosecond laser, and microscopic image of cross-section of waveguide shown in inset. (a) μ-PL intensity along cutting-line; (b) μ-PL spectra from different areas[58]
    Fig. 9. Depressed cladding waveguides inscribed in Ti2O3-doped sapphire by 795 nm femtosecond laser, and microscopic image of cross-section of waveguide shown in inset. (a) μ-PL intensity along cutting-line; (b) μ-PL spectra from different areas[58]
    Depressed cladding waveguide directly written by femtosecond laser in polycrystalline diamond. (a) Schematic of fabrication; (b) microscopic image of cross-section of depressed cladding waveguide, superimposed by mode profiles corresponding to cross-sectional diameters of 20 μm and 25 μm[61]
    Fig. 10. Depressed cladding waveguide directly written by femtosecond laser in polycrystalline diamond. (a) Schematic of fabrication; (b) microscopic image of cross-section of depressed cladding waveguide, superimposed by mode profiles corresponding to cross-sectional diameters of 20 μm and 25 μm[61]
    Three types of techniques for femtosecond laser direct writing. (a) Linear translational scan; (b) transversal and helical scan; (c) longitudinal and helical scan[63]
    Fig. 11. Three types of techniques for femtosecond laser direct writing. (a) Linear translational scan; (b) transversal and helical scan; (c) longitudinal and helical scan[63]
    Microscopic images of circular waveguides inscribed in Nd∶YAG ceramic. (a) DWG-1, ?= 100 μm, longitudinal and helical scan; (b) DWG-3, ?= 50 μm, longitudinal and helical scan; (c) DWG-4, ?=100 μm, linear transversal scan; top view of cladding layers of (d) DWG-1 and (e) DWG-4[63]
    Fig. 12. Microscopic images of circular waveguides inscribed in Nd∶YAG ceramic. (a) DWG-1, ?= 100 μm, longitudinal and helical scan; (b) DWG-3, ?= 50 μm, longitudinal and helical scan; (c) DWG-4, ?=100 μm, linear transversal scan; top view of cladding layers of (d) DWG-1 and (e) DWG-4[63]
    View of Nd∶YAG ceramic exit surface S2 under fiber-coupled diode pumping, and photos of waveguides without pumping shown in inset. (a) Bulk material; (b) DWG-1 (?=100 μm); (c) DWG-3 (?=50 μm) ; (d) DWG-4 (?=100 μm)[63]
    Fig. 13. View of Nd∶YAG ceramic exit surface S2 under fiber-coupled diode pumping, and photos of waveguides without pumping shown in inset. (a) Bulk material; (b) DWG-1 (?=100 μm); (c) DWG-3 (?=50 μm) ; (d) DWG-4 (?=100 μm)[63]
    Methods for generating hollow tubular beam to fabricate waveguide. (a) Schematic of experimental setup and spatial light intensity profile of high-order nondiffracting Bessel beam located between spatial light modulator and focusing lens shown in inset; (b) phase mask employed for producing Bessel beam and (c) transversal intensity distribution at focus of lens in air when n=10 and r0=0.8 mm [64]
    Fig. 14. Methods for generating hollow tubular beam to fabricate waveguide. (a) Schematic of experimental setup and spatial light intensity profile of high-order nondiffracting Bessel beam located between spatial light modulator and focusing lens shown in inset; (b) phase mask employed for producing Bessel beam and (c) transversal intensity distribution at focus of lens in air when n=10 and r0=0.8 mm [64]
    Waveguide with tubular depressed-refractive-index cladding directly written by longitudinal scan based on focal field with circular intensity distribution. (a) Phase contrast microscope (PCM) image of waveguide with tubular depressed-refractive-index cladding (side view) and white part indicating negative index change; (b) optical transmission micrograph of the obtained tubular structure (end view); (c) near-field mode profile of tubular waveguide injected by 800 nm CW laser[<xref ref-type=
    Fig. 15. Waveguide with tubular depressed-refractive-index cladding directly written by longitudinal scan based on focal field with circular intensity distribution. (a) Phase contrast microscope (PCM) image of waveguide with tubular depressed-refractive-index cladding (side view) and white part indicating negative index change; (b) optical transmission micrograph of the obtained tubular structure (end view); (c) near-field mode profile of tubular waveguide injected by 800 nm CW laser[
    Schematic of transversal femtosecond laser direct writing of depressed cladding waveguide with phase masks used for focal field engineering shown in inset and experimental sample moving along X-axis. (a) Circular cladding composed of dozens of parallel filaments inscribed line by line using ellipsoidal focal spot; (b) square cladding with four sides inscribed one by one using slit shaped focus; (c) circular cladding formed in single scan using tilted longitudinal annular ring-shaped focal
    Fig. 16. Schematic of transversal femtosecond laser direct writing of depressed cladding waveguide with phase masks used for focal field engineering shown in inset and experimental sample moving along X-axis. (a) Circular cladding composed of dozens of parallel filaments inscribed line by line using ellipsoidal focal spot; (b) square cladding with four sides inscribed one by one using slit shaped focus; (c) circular cladding formed in single scan using tilted longitudinal annular ring-shaped focal
    Schematic of experimental setup and phase masks for horizontal and vertical sides shown in inset[36]
    Fig. 17. Schematic of experimental setup and phase masks for horizontal and vertical sides shown in inset[36]
    Simulated peak laser intensity distributions in focal spots of slit-shaped beams. Intensity distributions of (a) horizontal and (b) vertical sides for fabrication of small-mode-area waveguides; (c) intensity distribution of 6 μm×6 μm square; intensity distributions of (d) horizontal and (e) vertical sides for fabrication of large-mode-area waveguides; (f) intensity distribution of 12 μm×12 μm square[38]
    Fig. 18. Simulated peak laser intensity distributions in focal spots of slit-shaped beams. Intensity distributions of (a) horizontal and (b) vertical sides for fabrication of small-mode-area waveguides; (c) intensity distribution of 6 μm×6 μm square; intensity distributions of (d) horizontal and (e) vertical sides for fabrication of large-mode-area waveguides; (f) intensity distribution of 12 μm×12 μm square[38]
    Optical micrograph and near-field mode profile of cross-section of waveguide. (a) Microscopic image of cross-section of tubular waveguide inscribed in ZBLAN glass with cross sectional size of 12 μm×12 μm; (b) near-field mode profile under bright field; (c) near-field mode profile under dark field[38]; (d) microscopic image of cross section of tubular waveguide inscribed in LN crystal; (e) near-field mode profile of waveguide under s-polarization;
    Fig. 19. Optical micrograph and near-field mode profile of cross-section of waveguide. (a) Microscopic image of cross-section of tubular waveguide inscribed in ZBLAN glass with cross sectional size of 12 μm×12 μm; (b) near-field mode profile under bright field; (c) near-field mode profile under dark field[38]; (d) microscopic image of cross section of tubular waveguide inscribed in LN crystal; (e) near-field mode profile of waveguide under s-polarization;
    Depressed cladding waveguide with annular ring-shaped cross section based on focal fields with piecewise annular ring and continuous annular ring and experimental sample moving along X-axis. Focal field with piecewise annular ring: (a) side view, (b) phase mask, (c) 3D isosurface focal field obtained by simulation (isosurface given by intensity at 30% of peak value), (d) 2D intensity distributions in planes viewed in directions indicated by yellow arrows; focal field with continuous annul
    Fig. 20. Depressed cladding waveguide with annular ring-shaped cross section based on focal fields with piecewise annular ring and continuous annular ring and experimental sample moving along X-axis. Focal field with piecewise annular ring: (a) side view, (b) phase mask, (c) 3D isosurface focal field obtained by simulation (isosurface given by intensity at 30% of peak value), (d) 2D intensity distributions in planes viewed in directions indicated by yellow arrows; focal field with continuous annul
    Optical micrograph and guided modes of waveguide written by continuous annular ring-shaped focal field. (a) Cross-section of waveguide and guided region indicated within dotted circle; 2D intensity distributions of guided modes at (b) 785 nm and (c) 1550 nm, respectively[35]
    Fig. 21. Optical micrograph and guided modes of waveguide written by continuous annular ring-shaped focal field. (a) Cross-section of waveguide and guided region indicated within dotted circle; 2D intensity distributions of guided modes at (b) 785 nm and (c) 1550 nm, respectively[35]
    Design of focal field and calculation of phase mask with experimental sample moving along y axis. (a) 3D isosurface of focal field obtained by vector integration; (b) phase mask obtained by iterative calculation; (c) 3D isosurface of focal field simulated by phase mask[14]
    Fig. 22. Design of focal field and calculation of phase mask with experimental sample moving along y axis. (a) 3D isosurface of focal field obtained by vector integration; (b) phase mask obtained by iterative calculation; (c) 3D isosurface of focal field simulated by phase mask[14]
    Optical micrographs and guided modes of depressed cladding waveguide written by discrete ring-shaped focal field. (a) Cross-section of waveguide; (b) top view of waveguide; 2D intensity distributions of guided (c) H and (d) V polarization modes at 1550 nm[14]
    Fig. 23. Optical micrographs and guided modes of depressed cladding waveguide written by discrete ring-shaped focal field. (a) Cross-section of waveguide; (b) top view of waveguide; 2D intensity distributions of guided (c) H and (d) V polarization modes at 1550 nm[14]
    Optical transmission microscopic images of depressed cladding waveguides with different cross-sectional shapes in Nd∶YAG ceramic. (a) Hexagon; (b) circle; (c) trapezoid[27]
    Fig. 24. Optical transmission microscopic images of depressed cladding waveguides with different cross-sectional shapes in Nd∶YAG ceramic. (a) Hexagon; (b) circle; (c) trapezoid[27]
    Depressed cladding waveguides with different cross-sectional shapes. (a) Triangle; (b) square; (c) pentagon; (d) hexagon; (e) circle[68]
    Fig. 25. Depressed cladding waveguides with different cross-sectional shapes. (a) Triangle; (b) square; (c) pentagon; (d) hexagon; (e) circle[68]
    Cross-sectional microscopic images of waveguides. (a) Double-cladding waveguide; (b) single-cladding waveguide with diameter of 100 μm; (c) single-cladding waveguide with diameter of 30 μm[69]
    Fig. 26. Cross-sectional microscopic images of waveguides. (a) Double-cladding waveguide; (b) single-cladding waveguide with diameter of 100 μm; (c) single-cladding waveguide with diameter of 30 μm[69]
    Near-field intensity profiles of TE mode in waveguide at different wavelengths. (a)-(c) 632.8 nm; (d)-(f) 1064 nm[69]
    Fig. 27. Near-field intensity profiles of TE mode in waveguide at different wavelengths. (a)-(c) 632.8 nm; (d)-(f) 1064 nm[69]
    Annual laser beams generated from tri-cladding and dual-cladding waveguides. Microscopic images of (a) tri-cladding and (b) dual-cladding waveguides in Nd∶YAG crystal; near-field modal profiles of (c) tri-cladding and (d) dual-cladding waveguides at 632.8 nm; annular laser modal profiles of (e) tri-cladding and (f) dual-cladding waveguides at 1064 nm under 808 nm optical pump with TE polarization[29]
    Fig. 28. Annual laser beams generated from tri-cladding and dual-cladding waveguides. Microscopic images of (a) tri-cladding and (b) dual-cladding waveguides in Nd∶YAG crystal; near-field modal profiles of (c) tri-cladding and (d) dual-cladding waveguides at 632.8 nm; annular laser modal profiles of (e) tri-cladding and (f) dual-cladding waveguides at 1064 nm under 808 nm optical pump with TE polarization[29]
    Structure and modal profile of optical-lattice-like cladding waveguide. (a) Schematic of fabrication of typical photonic microstructure with guiding core surrounded by hexagonal track array; (b) cross-sectional sketch of photonic micro-structured cladding waveguide; (c) cross-sectional microscopic image of optical-lattice-like cladding waveguide Element-1 written by fs laser in Nd∶YAG crystal; (d) measured near-field modal profiles of TE and TM polarizations at 1064 nm[<xref ref-type="bibr"
    Fig. 29. Structure and modal profile of optical-lattice-like cladding waveguide. (a) Schematic of fabrication of typical photonic microstructure with guiding core surrounded by hexagonal track array; (b) cross-sectional sketch of photonic micro-structured cladding waveguide; (c) cross-sectional microscopic image of optical-lattice-like cladding waveguide Element-1 written by fs laser in Nd∶YAG crystal; (d) measured near-field modal profiles of TE and TM polarizations at 1064 nm[
    Light confinement of optical-lattice-like cladding waveguides with different cladding layers[71]
    Fig. 30. Light confinement of optical-lattice-like cladding waveguides with different cladding layers[71]
    Characterization of beam splitting for photonic structure in passive regime. (a) Schematic of waveguide elements 2 (top) and 3 (below); (b) microscopic images of waveguide elements 2 (top) and 3 (below); (c) prototype of beam splitter with connection of waveguide elements 1, 2 and 3; (d) simulated evolution of 1064 nm light propagating along optical-lattice-like cladding waveguide; (e) measured intensity distributions of beam splitter in both passive and active regimes[<xref ref-type="bibr"
    Fig. 31. Characterization of beam splitting for photonic structure in passive regime. (a) Schematic of waveguide elements 2 (top) and 3 (below); (b) microscopic images of waveguide elements 2 (top) and 3 (below); (c) prototype of beam splitter with connection of waveguide elements 1, 2 and 3; (d) simulated evolution of 1064 nm light propagating along optical-lattice-like cladding waveguide; (e) measured intensity distributions of beam splitter in both passive and active regimes[
    Experimental setup for laser test of dual-wavelength waveguide and cross-sectional microscopic image of depressed cladding waveguide with diameter of 100 μm shown in inset[30]
    Fig. 32. Experimental setup for laser test of dual-wavelength waveguide and cross-sectional microscopic image of depressed cladding waveguide with diameter of 100 μm shown in inset[30]
    Experimental results. Laser emission spectra at laser polarization angles of (a) 0°, (b) 45°, and (c) 90°, respectively; (d) relationship between output power and pump power at 812 nm pump and linear fit of experimental data indicated by solid line[30]
    Fig. 33. Experimental results. Laser emission spectra at laser polarization angles of (a) 0°, (b) 45°, and (c) 90°, respectively; (d) relationship between output power and pump power at 812 nm pump and linear fit of experimental data indicated by solid line[30]
    Cross-section of depressed cladding structure fabricated in nonlinear Nd∶YCOB crystal[78]
    Fig. 34. Cross-section of depressed cladding structure fabricated in nonlinear Nd∶YCOB crystal[78]
    Experiments for waveguide lasing and self-frequency-doubling. (a) Schematic of end-face coupling system; (b) oscillation cavity for cladding waveguide lasing; (c) oscillation cavity for cladding waveguide self-frequency-doubling[78]
    Fig. 35. Experiments for waveguide lasing and self-frequency-doubling. (a) Schematic of end-face coupling system; (b) oscillation cavity for cladding waveguide lasing; (c) oscillation cavity for cladding waveguide self-frequency-doubling[78]
    Lasing and self-frequency-doubling performances of depressed cladding waveguides in Nd∶YCOB crystal. (a) Near-field intensity distributions of waveguide lasers at 1062 nm and boundaries of the guiding areas indicated within circles; (b) relationship between near-infrared laser output power and absorbed pump power for WG1, WG2, and WG3; (c) photograph of FP cavity employed for waveguide laser self-frequency-doubling experiments; (d) modal distributions of green lasers generated from WG1, WG2 and
    Fig. 36. Lasing and self-frequency-doubling performances of depressed cladding waveguides in Nd∶YCOB crystal. (a) Near-field intensity distributions of waveguide lasers at 1062 nm and boundaries of the guiding areas indicated within circles; (b) relationship between near-infrared laser output power and absorbed pump power for WG1, WG2, and WG3; (c) photograph of FP cavity employed for waveguide laser self-frequency-doubling experiments; (d) modal distributions of green lasers generated from WG1, WG2 and
    Depressed cladding waveguides fabricated in MgO∶PPSLT sample for second harmonic generation. (a)Schematic of fan-out pattern on MgO∶PPSLT sample and FLW process; (b) microscopic images of WG1-WG4[9]
    Fig. 37. Depressed cladding waveguides fabricated in MgO∶PPSLT sample for second harmonic generation. (a)Schematic of fan-out pattern on MgO∶PPSLT sample and FLW process; (b) microscopic images of WG1-WG4[9]
    Waveguide-integrated light-induced quasi-phase matching structures. (a) Design of LiQPM depressed cladding waveguide; (b) modulation scheme of QPM grating structure inside waveguide core[80]
    Fig. 38. Waveguide-integrated light-induced quasi-phase matching structures. (a) Design of LiQPM depressed cladding waveguide; (b) modulation scheme of QPM grating structure inside waveguide core[80]
    Experimental results of temperature tuning for SHG of two kinds of LiQPM grating devices. (a) Dual-wavelength SHG; (b) multi-wavelength SHG[80]
    Fig. 39. Experimental results of temperature tuning for SHG of two kinds of LiQPM grating devices. (a) Dual-wavelength SHG; (b) multi-wavelength SHG[80]
    Optical microscopic images of superficial depressed cladding waveguides written by femtosecond laser in Nd∶YAG crystal. (a) Sectional view of semicircular waveguide; (b) sectional view of rectangular waveguide; (c) top view of rectangular waveguide; speckle patterns collected from output faces of (d) semicircular and (e) rectangular waveguides at 460 nm; (f) experimental setup for waveguide specklegram temperature sensor based on end-face coupling system in which thermo electric cooler used to c
    Fig. 40. Optical microscopic images of superficial depressed cladding waveguides written by femtosecond laser in Nd∶YAG crystal. (a) Sectional view of semicircular waveguide; (b) sectional view of rectangular waveguide; (c) top view of rectangular waveguide; speckle patterns collected from output faces of (d) semicircular and (e) rectangular waveguides at 460 nm; (f) experimental setup for waveguide specklegram temperature sensor based on end-face coupling system in which thermo electric cooler used to c
    Effects of laser intensity and wavelength on sensitivity of different temperature sensors. (a)(c) Semicircular waveguide; (b)(d) rectangular waveguide[33]
    Fig. 41. Effects of laser intensity and wavelength on sensitivity of different temperature sensors. (a)(c) Semicircular waveguide; (b)(d) rectangular waveguide[33]
    Waveguide Bragg gratings (WBGs) in ZBLAN glass. (a) Hexagonal lattice of points within core of waveguide and three-dimensional rendering of structure shown in inset (not to scale); (b) top-down differential interference contrast images at three different positions showing grating phase relation across core and reduction of grating contrast indicated apparently in close proximity to waveguide cladding (top profile)[42]
    Fig. 42. Waveguide Bragg gratings (WBGs) in ZBLAN glass. (a) Hexagonal lattice of points within core of waveguide and three-dimensional rendering of structure shown in inset (not to scale); (b) top-down differential interference contrast images at three different positions showing grating phase relation across core and reduction of grating contrast indicated apparently in close proximity to waveguide cladding (top profile)[42]
    Electro-optical tunable lithium niobate waveguide embedded with Bragg gratings. (a) Schematic of direct integration and characterization; (b) e light of circular waveguide structure with diameter of 15 μm; (c) multiscan Bragg grating with period of Λ=704 nm and upper and lower waveguide lines omitted for clear imaging; (d) cross section of polished WBG with integrated electrodes; (e) closed-circular waveguide; its modal profiles and insertion losses of (f) o light and (g) e light at λ<
    Fig. 43. Electro-optical tunable lithium niobate waveguide embedded with Bragg gratings. (a) Schematic of direct integration and characterization; (b) e light of circular waveguide structure with diameter of 15 μm; (c) multiscan Bragg grating with period of Λ=704 nm and upper and lower waveguide lines omitted for clear imaging; (d) cross section of polished WBG with integrated electrodes; (e) closed-circular waveguide; its modal profiles and insertion losses of (f) o light and (g) e light at λ<
    Bragg grating performance of depressed cladding waveguide. Reflection spectra for (a) o light and (b) e light as input light; (c) maximum spectral tuning of more than a peak width achieved with applied voltage of ±840 V for p light; (d) relative shift of central Bragg reflection maxima for s light (o light) and p light (e light) and high bandwidth operation for frequency test shown in inset[13]
    Fig. 44. Bragg grating performance of depressed cladding waveguide. Reflection spectra for (a) o light and (b) e light as input light; (c) maximum spectral tuning of more than a peak width achieved with applied voltage of ±840 V for p light; (d) relative shift of central Bragg reflection maxima for s light (o light) and p light (e light) and high bandwidth operation for frequency test shown in inset[13]
    Mode field converter. (a) Schematic of fs-laser inscription process; (b) schematic of tapered waveguide; (c) model for implementation of tapered cladding with reduction factor of dmax∶dmin by decreasing track separation; (d) model for implementation of tapered cladding with reduction factor of dmax∶(dmin/2) by decreasing track separation and reducing number of tracks[81]
    Fig. 45. Mode field converter. (a) Schematic of fs-laser inscription process; (b) schematic of tapered waveguide; (c) model for implementation of tapered cladding with reduction factor of dmaxdmin by decreasing track separation; (d) model for implementation of tapered cladding with reduction factor of dmax∶(dmin/2) by decreasing track separation and reducing number of tracks[81]
    Morphology and mode field characterization of mode field converter. (a) Microscopic image taken in transmission mode of 4∶1 tapered test structure fabricated with input radius of 24 μm and output radius of 6 μm (taper length L shortened to well appreciate details); (b) modal profiles at output of 2∶1 and 4∶1 tapered waveguides at 633 nm (left) and 850 nm (right), respectively[81]
    Fig. 46. Morphology and mode field characterization of mode field converter. (a) Microscopic image taken in transmission mode of 4∶1 tapered test structure fabricated with input radius of 24 μm and output radius of 6 μm (taper length L shortened to well appreciate details); (b) modal profiles at output of 2∶1 and 4∶1 tapered waveguides at 633 nm (left) and 850 nm (right), respectively[81]
    Photonic devices based on Y-junctions. (a) Schematic of fabricated structures: straight waveguide, Y-junctions and Mach-Zehnder interferometer; (b) optical microscopic images of cross sections at different planes of Y-junctions and image at bottom indicating longitudinal view of splitting region and approximate positions of above images[82]
    Fig. 47. Photonic devices based on Y-junctions. (a) Schematic of fabricated structures: straight waveguide, Y-junctions and Mach-Zehnder interferometer; (b) optical microscopic images of cross sections at different planes of Y-junctions and image at bottom indicating longitudinal view of splitting region and approximate positions of above images[82]
    Y-branch splitter based on superficial depressed-cladding waveguides. (a)-(e) Cross-sectional images and (f) top view of surface cladding waveguides; simulated refractive index distributions at cross sections of (g) input port, (h) joint port, and (i) output port, as well as (j) mode propagation process[34]
    Fig. 48. Y-branch splitter based on superficial depressed-cladding waveguides. (a)-(e) Cross-sectional images and (f) top view of surface cladding waveguides; simulated refractive index distributions at cross sections of (g) input port, (h) joint port, and (i) output port, as well as (j) mode propagation process[34]
    2×2 directional coupler based on depressed cladding waveguides. (a) Layout of interaction region with several cladding tracks skipped; (b) geometry of 2×2 waveguide coupler; (c) microscopic image of fabricated directional coupler obtained after stitching; (d) image of output facet of directional coupler; (e) intensity distribution at output facet of directional coupler with splitting ratio of 48∶52[15]
    Fig. 49. 2×2 directional coupler based on depressed cladding waveguides. (a) Layout of interaction region with several cladding tracks skipped; (b) geometry of 2×2 waveguide coupler; (c) microscopic image of fabricated directional coupler obtained after stitching; (d) image of output facet of directional coupler; (e) intensity distribution at output facet of directional coupler with splitting ratio of 48∶52[15]
    3×3 directional coupler based on depressed cladding waveguides. (a) Geometry of 3×3 directional coupler; (b) cross-sectional geometry of interaction region; (c) top view image of 3×3 coupler obtained after stitching; (d) microscopic image of end facet of 3×3 directional coupler; (e) intensity distribution at output facet of directional coupler with coupling distance of 14 μm[15]
    Fig. 50. 3×3 directional coupler based on depressed cladding waveguides. (a) Geometry of 3×3 directional coupler; (b) cross-sectional geometry of interaction region; (c) top view image of 3×3 coupler obtained after stitching; (d) microscopic image of end facet of 3×3 directional coupler; (e) intensity distribution at output facet of directional coupler with coupling distance of 14 μm[15]
    Schematic of depressed cladding waveguide directional coupler and transmission differential interference contrast microscopic images taken at different positions with dashed circles marking defects created by hard on/off switching of laser and output facet of directional coupler shown on right-hand side[39]
    Fig. 51. Schematic of depressed cladding waveguide directional coupler and transmission differential interference contrast microscopic images taken at different positions with dashed circles marking defects created by hard on/off switching of laser and output facet of directional coupler shown on right-hand side[39]
    Reconfigurable 2×2 directional coupler based on depressed cladding waveguides with ring cladding composed of 16 parallel damage tracks and circles tilted 10° with respect to X axis[14]
    Fig. 52. Reconfigurable 2×2 directional coupler based on depressed cladding waveguides with ring cladding composed of 16 parallel damage tracks and circles tilted 10° with respect to X axis[14]
    Electro-optically tunable directional coupler. (a) Top views of straight interaction region (middle) and two curved segments (left and right) of directional coupler; (b) partial top views of electrodes and directional coupler with interaction length of about 1.8 mm; (c) equipotential contour of electric field around electrodes;(d) splitting ratio versus voltage applied to electrode; (e) output modes at 1550 nm of coupler under three different voltages[14</xre
    Fig. 53. Electro-optically tunable directional coupler. (a) Top views of straight interaction region (middle) and two curved segments (left and right) of directional coupler; (b) partial top views of electrodes and directional coupler with interaction length of about 1.8 mm; (c) equipotential contour of electric field around electrodes;(d) splitting ratio versus voltage applied to electrode; (e) output modes at 1550 nm of coupler under three different voltages[14
    Meng Li, Qian Zhang, Dong Yang, Qihuang Gong, Yan Li. Femtosecond Laser Writing of Depressed Cladding Waveguide and Its Applications[J]. Laser & Optoelectronics Progress, 2020, 57(11): 111427
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