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Dense Integration of Novel Optical Functionalities Using Photonic Crystals. B. Momeni, A. Jafarpour, C. Reinke, J. Hunag, M. Askari, M. Soltani, S. Mohammadi, and A. Adibi Center for Advanced Processing-tools for Electromagnetic/acoustic Xtals (APEX)
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Dense Integration of Novel Optical Functionalities Using Photonic Crystals B. Momeni, A. Jafarpour, C. Reinke, J. Hunag, M. Askari, M. Soltani, S. Mohammadi, and A. Adibi Center for Advanced Processing-tools for Electromagnetic/acoustic Xtals (APEX) School of Electrical and Computer Engineering Georgia Institute of Technology
Outline • Introduction: Applications of Photonic Crystals • Photonic Crystal Structures using Dispersion Engineering • Optimal Waveguides • Optimal Wavelength Demultiplexers • On-Chip Integrable PC Spectrometers • Conclusions
Introduction to Photonic Crystals • Photonic Crystals: Periodic dielectric structures • Photonic Bandgap (PBG): Frequency range with no electromagnetic mode allowed
Photonic Crystal Devices Using Photonic Bandgap Cavity Bends Waveguide Discrete Functionalities: Filters, lasers, guides, delay lines, couplers, combiners One key aspect of this research is the integration of these functionalities into one single substrate.
6 0.22 0.2 4 0.18 0.16 2 0.14 kya w a/2pc 0 0.12 0.1 -2 0.08 -4 0.06 0.04 -6 -6 -4 -2 0 2 4 6 kxa Photonic Crystal Devices Using Anomalous Dispersion Band Structure Diffraction Control Demultiplexers n1 Functionalities: Wavelength MUX/DEMUX, Pulse Shaping, Frequency to Space mapping, Time to Space (Spectroscopy), Time to frequency mapping (Chirping, Coding)
2r’ More Complex Functionalities Waveguide Couplers Delay Lines
Distance Nonlinear PC Structures • Selective infiltration of PC holes with nonlinear polymers • Functionalities: Tunable structures (lasers, cavities, filters, delay lines), switching, modulation
Advantages of Photonic Crystals • Photonic bandgap • Dispersion control through geometry • Nonlinearity independent of dispersion • Anomalous dispersion (superprism effect) • Devices can be made by adding defects • Compatibility with electronics substrates
Integrated Photonic Crystal Structure • Other Possible Applications: Ultra-compact optical packet switching, Compact transmitters and receivers for secure communications, Adaptive filters, Optical sensing, Lab-on-a-chip, ...
Mode Dispersion (TM) Frequency, ωa/(2πc) Wavevector, ka/π Dispersion Engineering in Photonic Crystal Waveguides (PCWs) • Conventional PCWs: One row of air holes is removed. • The waveguide has two guided modes in the bandgap. • Single-mode PCWs are essential for practical applications.
a : Lattice Constant r : Radius r’: Modified Radius Design of Single-Mode PCWs • By increasing the size of the air holes next to the guiding region, the odd mode can be pushed out of the PBG. • The guiding bandwidth is limited due to mode flattening. Frequency, ωa/(2πc) Normalized Phase Shift, ka
Design of Biperiodic PCWs • Mode flattening is cause by distributed Bragg reflection (DBR) due to the periodicity in the guiding direction. • Idea:Change the period of the air holes next to the guiding region to modify the DBR frequency.
0.32 0.31 Frequency, a/λ 1.0 0.30 0.8 0.29 0.28 a’/a=0.7 Transmission 0.6 Increased Group Velocity 2a’ a’/a=0.93 0.27 0.4 No Modegap 0.26 0.2 1.2 1.6 2.0 1.4 1.8 a’/a=1.0 Phase Constant, ka/π 0.28 0.30 0.32 0.26 a Frequency, a/λ Optimization of Guiding Bandwidth in Biperiodic PCWs • Pushing the DBR peak frequency upward [1] • Guiding over the full PBG for a’ < 0.7a • Similar results by increasing a’, guiding over PBG for a’>1.25 a [1] A. Jafarpour et al., Physical Review B, vol. 68, p. 233102 (2003)
L a 2r a’ 2r’ Transmission Properties of the Bi-periodic PCW • Loss for a’/a=0.7, r/a=0.3, r’/a=0.25 is as low as 3 dB/mm over a bandwidth of 60 nm. • Loss of a conventional PCW on the same substrate is 66 dB/mm. [1] A. Jafarpour et al., Applied Physics B, 79, 409, 2004.
0.24 y 0.22 Superprism effect 4 Negative refraction 0.20 0.18 3 x Self-guiding 0.16 kya 2 0.14 Negative effective index 1 0.12 0.10 0 -4 -3 -2 -1 0 1 2 3 4 0.08 kxa 0.06 0.04 Superprism-Based Photonic Crystal Demultiplexers • Anomalous dispersion effects of PCs outside the bandgap • Goal: Engineering PC dispersion for optimum demultiplexing performance
Cross-talk between adjacent channels 0 PC 0.9 Dqg -20 1.0 1.1 -40 Cross-talk (dB) l 1.5 1 -60 d Dqg/d= 2.0 -80 0 0.5 1 1.5 2 2.5 3 Propagation length (normalized to z0) Conventional Superprism-Based PC Demultiplexers • Collimated input beam at optimal incidence angle • Due to beam diffraction in side PC, device size is large and varies as N4 with N being the number of channels.
0.24 0.22 0.20 Negative effective index Low 3rd-order diffraction 0.18 4 0.16 3 0.14 kya Strong superprism effect 2 0.12 0.10 1 0.08 0 -4 -3 -2 -1 0 1 2 3 4 0.06 kxa 0.04 l1 l2 Preconditioned PC Demultiplexers • Diffraction compensationand superprism effect inside PC • Using the model for higher-order effective indices, device size varies as N2.5 with N being the number of channels.
l1 l2 l2 l1 Working in Negative Refraction Regime • To eliminate unwanted contributions from stray signals (unwanted polarization or wavelengths not in the operation range)
Fabrication of the PC Demultiplexer on SOI • 70nm SiO2 hard-mask; 220nm Si; 3μm SiO2; on Si substrate • 45°-rotated square lattice PC (length: only 100 μm) • A series of output waveguides for high resolution detection • Integrated version of a geometrical optical setup
Preconditioning region Output waveguides Input waveguides Beam blocks 100mm Fabricated Structure Three unique effects combined • Negative diffraction (focusing) • Superprism effect • Negative refraction
Measurement Setup • Free space end-coupling • Lock-in measurement
Ch#1 Ch#2 Ch#3 Ch#4 Ch#5 1591 nm 1580 nm 1568 nm 1557 nm 1545 nm Measurement Results • Imaging the output waveguides on the camera • 5-channel demultiplexer with >6.5dB isolation and 10 nm spacing.
WG# 24 12 4 1 1540.5nm 1548.0nm 1557.6nm 1565.5nm Spatial Isolation of Unwanted Polarization • Output power distribution: TE-like TM-like • Focusing of desired channels is visible.
1 0 0.9 -4 0.8 0.7 -8 0.6 Normalized Channel Response Normalized Transmission (dB) 0.5 -12 0.4 0.3 -16 0.2 0.1 -20 0 1520 1540 1560 1580 1470 1480 1490 1500 1510 1520 1530 1540 1550 1560 1570 1580 4-channel demultiplexer, 6.5dB isolation, 8nm resolution Wavelength (nm) Wavelength (nm) Measurement Results • Transmitted power measured at output waveguides
Normalized channel response 1500 1520 1540 1560 1580 1600 1620 1640 Operation band changes by the choice of incident angle Wavelength (nm) Multiband Operation: Incidence at Slightly Different Angles a=13° a=15° a=17°
Demultiplexing performance at two-orders of magnitude smaller size Comparison With Other Reported Implementations
Controlling the Dispersion of Optical Materials • New design possibilities with controlled dispersion properties B. Momeni and A. Adibi, “Demultiplexers harness photonic-crystal dispersion properties,” Laser Focus World, vol. 42, no. 6, pp. 125-128, June 2006
M detectors Input light N channels Optical device Integrated Spectrometers • Basic configuration • Mapping from spectrum to space • Post-processing to extract the spectrum • Requirements for an efficient implementation • Strong dispersive properties • Isolation of stray light
Superprism spectrometer Environmental changes Correlator Input light Locating Spectral Features • Along with frequency selective optical components • Spectral-domain sensing • Correlation of the output spatial distribution for spectral pattern recognition
45 40 Std dev. = 0.3 nm 35 30 25 Number of events 20 15 10 1560 5 Estimated wavelength 0 Input peak wavelength 1555 -1.5 -1 -0.5 0 0.5 1 1.5 Estimation error (nm) 1550 1545 Wavelength (nm) 1540 1535 1530 1530 1535 1540 1545 1550 1555 1560 Wavelength (nm) Locating Spectral Features • Correlation of detected power levels at the output by calibration data is used to find the location of the peak • Estimation error occurs in presence of detection noise 30 nm operation bandwidth
Applications of Ultra-compact Wavelength Demultiplexers • Chip-scale WDM • Spectroscopy (spatial-spectral mapping) • Sensing: Wavelength separation properties are highly affected by the material inside the air holes • Lab-on-a-chip and integrated photonics circuits
Conclusions • Photonic Crystals are excellent candidates for photonics integrated circuits (for communications, information processing, spectroscopy, sensing, …) due to the possibility of dispersion engineering using geometry. • Ultra-low loss wideband guiding and compact demultiplexing with focusing are possible by combining some of the unique dispersion properties of the photonic crystals. • The possibility of designing electromagnetic modes (dispersion, field profile, density of states,…) is a powerful advantage of PCs, yet not highly utilized.