Introduction to COMSOL Optics Modules
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1 Introduction to COMSOL Optics Modules Optics seminar 7/18/2018 Yosuke Mizuyama, Ph.D. COMSOL, Inc. Burlington, MA, USA Copyright 2016 COMSOL.COMSOL, the COMSOL logo, COMSOL Multiphysics, Capture the Concept, COMSOL Desktop, COMSOL Server, LiveLink, andsimulation for Everyone are either registered trademarks or trademarks of COMSOL AB. All other trademarks are the property of their respective owners, and COMSOL AB and its subsidiaries and products are not affiliated with, endorsed by, sponsored by, or supported by those trademark owners. For a list of such trademark owners, see
2 COMSOL 5.3a
3 Modules and Interfaces Module Interfaces Wave Optics Time Explicit Transient Frequency Domain Beam Envelope Module Interfaces Ray Optics Geometrical Optics Ray Heating
4 Wave OpticsvsRay Optics Feature size Wavelength
5 At-a-Glance Wave Optics Solution Max. Spatial Size Restrictions Time Explicit Transient Time Domain ~10xλ (2D) No excitation on transparent boundary Frequency Domain Beam Envelope Frequency Domain ~1xλ (3D) >> λ Wave vector needs to be known a priori Ray Optics Geometrical Optics Time Domain >> λ No diffraction Ray Heating
6 Wave Optics
7 Governing Equations Time Explicit Transient Frequency Domain Beam Envelope
8 Constitutive Equations Permittivity Complex Permittivity Loss Tangent Dielectric Loss Drude-Lorentz Debye Sellmeier
9 Applications (Time Explicit) Confocal laser cavity resonance Resonant longitudinal modes Possible longitudinal modes Possible transverse modes
10 Applications (Time Explicit) Distributed Bragg Reflector
11 Applications(Transient) SHG Analysis
12 Applications(Transient) Drude-Lorentz Medium
13 Applications(Frequency Domain) Plasmonics Metamaterial Photonic crystal
14 Applications(Frequency Domain) Ring Resonator Band Analysis
15 Applications (Frequency Domain) Stationary SHG analysis
16 Applications (Frequency Domain) Single bit hologram COMSOL Blog:
17 Applications (Frequency Domain) Page hologram COMSOL Blog:
18 Applications (Frequency Domain) Fiber cross section mode analysis
19 Applications(Frequency Domain) Fresnel lens COMSOL Blog:
20 Applications (Frequency Domain) More accurate Gaussian background field COMSOL Blog:
21 Applications(Beam Envelopes) Laser Cavity Mode Analysis Brewster Interface
22 Beam Envelopes Interface If you do not care about the high oscillation amplitude and If the wave vector or the phase function is at least approximately known a priori, It can solve large domain sizes of λ. COMSOL Blog:
23 Electric field * * * * * Electric field envelopes x r E r r 1 2 [ µ E] k ε E = 0 r r r r r 1 2 ( k ) [ µ ( k ) E ] k ε E 0 1 r rc 1 = 0 rc r r r r r ( ) E ( ) ( jk ) = 1 exp 1
24 What if is not exact? (Slightly) wrong Exact = exp( ) = exp( ) Wrong envelope function Wrong wave vector Exact envelope function Exact wave vector = exp( ( )) Wrong envelope function Exact envelope function Beat wave vector At the end we calculate norme and the norm of E1 and E1 are the same!! = exp = If E1 is resolved (easier), you will get the right exact norm E1. COMSOL Blog:
25 Apps (Frequency Domain) Plasmonic wire grating
26 Apps (Frequency Domain) Polarizing beam splitter
27 Ray Optics
28 COMSOL s Ray Tracing Time-dependent Track the wavefront, not propagate from plane to plane Non-sequential Can handle split rays Mesh-dependent Results depend on mesh Intensity calculation Calculate intensity by inverse square law and Fresnel formulae
29 Time-dependence COMSOL Plane-to-plane Intensity Ray position at different time Wavefront Ray position at same time COMSOL Blog:
30 Mesh-dependence COMSOL Blog:
31 Governing Equations : Ray position : Wave vector : Angular frequency
32 Ray Tracing Data Ray & particle tracing data take different data structure from all other physics
33 Ray Tracing Data Nodes Rays Different times
34 Postprocessingfor Ray Tracing Data Ray tracing Poincare map Aberration
35 Postprocessingfor Ray Tracing Data Ray-mesh interaction
36 Initial Ray Layouts
37 Applications (Geometrical Optics) Distributed Bragg grating
38 Applications (Geometrical Optics) Monochromator
39 Applications (Geometrical Optics) Light pipe
40 Applications(Geometrical Optics) Spectrometer COMSOL Blog:
41 Applications (Geometrical Optics) Wave plates
42 Applications (Geometrical Optics) Two-mirror laser cavity COMSOL Blog:
43 Applications (Geometrical Optics) Laser cavity with a thin lens COMSOL Blog:
44 Applications (Geometrical Optics) Bow-Tie laser cavity COMSOL Blog:
45 Applications(Ray Heating) High power laser focusing system
46 Apps (Ray Heating) Ti:Sa femto-second laser cavity COMSOL Blog: Wiley digital library:
47 Apps (Ray Heating) Ti:Sa femto second laser cavity Double pumping Single pumping (high absorption) Single pumping (low absorption) COMSOL Blog: Wiley digital library:
48 Ray/Heat/Structure Coupling = (+ ) Index Change Time-dependent Ray Tracing Absorption Heat Transfer = + + Stationary Deformation = (+ ) Solid Mechanics Stationary Algorithm of ray heating bi-directional coupling COMSOL Multiphysics software Physical phenomena
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