
BandSOLVE
Commercial software sold by RSoft.
BandSOLVE is a design tool to automate and simplify the modeling and the calculation of photonic band structures for all photonic crystal devices.
Capabilities:
 BandSOLVE employs a powerful Plane Wave Expansion algorithm for the solution of one, two, and threedimensional photonic bandgap devices.
 BandSOLVE includes several advanced simulation features that allow for more efficient band computations.
 For many types of devices, the inversion symmetry can be enforced leading up to a 40% increase in speed.
 Mode seeding can be utilized to dramatically increase the speed of the calculations.
 In 3D calculations, parity can be included for the separation of even and odd modes.
Applications:
 BandSOLVE can be used to optimize the band structure of new photonic crystal geometries before fabricating the device and to determine the performance of existing components.
 Twodimensional and threedimensional PC slab and waveguides
 Twodimensional and threedimensional cavity problems
 Photonic Crystal Fibers, both bandgap guiding and conventional guiding
 Defect modes of nonstrictly periodic structure
 Metallic and anisotropic structures
Related publications:
 A. Martinez and J. Marti, "Positive phase evolution of waves propagating along a photonic crystal with negative index of refraction," Opt. Express14, 9805 (2006).
 R. Gajic et al., "Allangle lefthanded negative refraction in Kagome and Honeycomb lattice photonic crystals," Physical Review B 73, 1 (2006).
 Y. Tanaka et al., "Coupling properties in a 2D photonic crystal slab directional coupler with a triangular lattice of air holes," IEEE J. Quantum Electron. 41, 76 (2005).
 I. Celanovic et al., "Resonantcavity enhanced thermal emission," Phys. Rev. B 72, 075127 (2005).
 K. K. Tsia and A. W. Poon, "Dispersionguided resonances in twodimensional photoniccrystalembedded microcavities," Opt. Express 12, 5711 (2004).
 Y. K. Lize et al., "Microstructured optical fiber photonic wires with subwavelength core diameter" Opt. Express 12, 3209 (2004).
 J. Zarbakhsh et al., "Arbitrary angle waveguiding applications of 2D curvilinearlattice photonic crystals," Appl. Phys. Lett. 84, 4687 (2004).
 E. C. Magi et al., "Tapered photonic crystal fibers" Opt. Express 12, 776 (2004).
 J. C. Baggett et al., "Understanding bending losses in holey optical fibers," Opt. Commun. 227, 317 (2003).
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Commercial software (part of CrystalWAVE) sold by Photon Design.
The Band Structure Analyzer computes the Bloch (periodic) modes of a photonic crystal lattice with two or three dimensional periodicity. It automatically identifies the band gaps and evaluates the Bloch mode profiles at any point.
Capabilities:
 Plane wave expansion based engine for best computation in the frequency domain
 Two and threedimensional simulation modes
 Generates w/k band diagrams for TElike and TMlike polarizations
 Brillouinzone constantomega contour plots.
 Easily plot the Bloch modes from any point on the w/k band diagram
 Full integration with the CrystalWave framework
 Simple graphical specification of Cartesian and nonCartesian unit cells
 Supports all lattices definable in the CrystalWave layout editor  rectangular, hexagonal lattices, with square, elliptical or arbitrary shaped "atoms"
 Automatic detection of band gaps
 Real and lossy materials
 Calculate effective index, group index and dispersion of the Bloch mode
 Automatic scanners for generation of "band maps" e.g. against lattice period or hole size
 Speed optimized calculation engine takes advantage of any symmetries
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Free software developed by MIT group.
MPB is a free program for computing the band structures (dispersion relations) and electromagnetic modes of periodic dielectric structures, on both serial and parallel computers.
Capabilities:
 Computes definitefrequency eigenstates (harmonic modes) of Maxwell’s equations in periodic dielectric structures for arbitrary wavevectors
 Fullyvectorial and threedimensional methods are implemented
 Preconditioned blockiterative eigensolvers in a planewave basis are used
 Sharp material discontinuities can be handled and convergence proportional to the square of the spatial resolution can be achieved even for sharply discontinuous anisotropic dielectric structures
Applications:
 Photonic crystals
 Optical waveguides and resonator systems
 Waveguides with arbitrary crosssections
 Anisotropic or magnetic materials
Related publications:
 J. Serbin and M. Gu, Superprism phenomena in waveguidecoupled woodpile structures fabricated by twophoton polymerization, Opt. Express 14, 35633568 (2006).
 Green, E. Istrate, and E. Sargent, Efficient design and optimization of photonic crystal waveguides and couplers: The Interface Diffraction Method, Opt. Express 13, 73047318 (2005).
 E. Istrate and E. H. Sargent, "Photonic Crystal Waveguide Analysis Using Interface Boundary Conditions," IEEE J. Quantum Electron. 3, 461 (2005).
 R. R. Panepucci et al., "Photonic crystals in polymers by direct electronbeam lithography presenting a photonic band gap," J. Vacuum Science & Technology B: Microelectronics and Nanometer Structures 22, 3348 (2004).
 M. Skorobogatiy et al., "Dielectric profile variations in highindexcontrast waveguides, coupled mode theory, and perturbation expansions," Phys. Rev. E 67, 046613 (2003).
 S. Kuchinsky et al., "Coupling Between Photonic Crystal Waveguides," IEEE J. Quantum Electron. 38, 1349 (2002).
 S. Johnson and J. Joannopoulos, Blockiterative frequencydomain methods for Maxwell's equations in a planewave basis, Opt. Express 8, 173 (2001).
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Free software.
A waveguide mode solver is based on a twodimensional planewave expansion method which includes gain and losses.
Capabilities:
 The first version employs analytical integration while the second version uses a numerical integration. It is limited to not too complex situation, because of the complexity of the analytical integration of piecewise defined functions.
 The numerical version is capable to treat reasonable large scale problems.
Related publications:
 U. T. Schwarz and B. Witzigmann, Optical properties of edgeemitting lasers: measurement and simulation, invited chapter in Nitride Semiconductor Devices, edited by J. Piprek, WileyVCH (2007) ISBN10: 3527406670.
 U. T. Schwarz et al., "Influence of ridge geometry on lateral mode stability of (In/Al)GaN laser diodes," Phys. Stat. Sol. (a) 202, 261 (2005).
 T. Herrle et al., "Tshaped waveguides for quantumwire intersubband lasers," Phys. Rev. B 72, 035316 (2005).
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