Hi Steven and other Meep users,
I know this has been discussed in the mailing list for many times. I searched
in the archives and tried almost every method mentioned there, but still I have
this problem.
What I wanna simulate is the loss caused by the bend structure of a large rib SOI waveguide. I did exactly the same as the tutorial says. Run two simulations, first with the straight waveguide, and then with the bended one. In my case, it's a 90 degree round bend with radius r=50um.
My wavelength is 1550nm, and I set it to be 3.1 in Meep unit. So I tried pml=3
or 6 (in 3 directions or just in x,z directions to save memory and time. The y
direction is the height of the waveguide.), with which I still got the
transmission flux greater than 1.
I use a gaussian source centered at 1550nm. before I used a pulse width of 0.2 in frequency, I thought it might be too wide, so I reduced it to df=0.1, but still didn't help. The transmission spectrum is almost the same.
I define the transmission flux at the end of the waveguides (both straight and
bended), away from pml by one wavelength, twice larger than the rib width. I
also define the reflection flux in the beginning of the waveguides, away from
the source (also pml) by one wavelength. (The reflection is actually almost
zero in my case, so I don't really care about it.)
I use "run-sources+" and "stop-when-fields-decayed" function to stop the
simulation when the field in the flux region center decayed by 1e-6.
I used the same code to run the simulation for bend radius r=20um or less.
Which works fine. But since the transmission is very small, I want to increase
the radius to a larger value. I tried r=50um and r=80um, which both gave
transmission greater than 1. I even didn't try my target radius of r=100um.
The only thing I can imagine to do is increase the resolution, which is also
the least thing I wanna do. Because it already takes ~40GB memory to simulate
the r=50um case with resolution of 10.
I've attached my .ctl file and the flux data. I hope someone can give me a clue
about the possible solution to this problem. Thank you for your time!
Best,
Shang
;===== Calculate transmission spectrum of bended WGs =====
;==== In order to see the loss caused by the bend ====
;========= SOI rib waveguide ============
; Set 0.5um as unit length
(define-param pmlxz 6) ; the thickness of pml in x,z direction
(define-param pmly 2) ; the thickness of pml in y direction
(define-param bendr 100) ; radius of the bend
(define-param stal (+ 20 pmlxz)) ; length of straight WG at input of bend
(define-param endl (+ 20 pmlxz)) ; length of straight WG at output of bend
(define-param sx (+ stal bendr endl)) ; size of cell in X direction
(define-param sy (+ pmly 3 pmly)) ; size of cell in Y direction
(define-param sz (+ stal (* 0.5 pi bendr) endl)) ; size of cell in Z direction
(set! geometry-lattice (make lattice (size sx sy sz)))
(define-param h 1) ; top Si thickness h=0.5um
(define-param ribW 1.2) ; rib width=0.6um
(define-param ribH 0.2) ; rib height=0.1um
(define wg1-xcen (- (/ sx 2) (+ endl bendr (/ ribW 2))))
(define wg2-xcen wg1-xcen)
(define wg2-zcen (/ (- stal sz) 2))
(define wg3-xcen (/ (- sx endl) 2))
(define wg3-zcen (- (+ stal bendr (/ ribW 2)) (/ sz 2)))
(define bend-xcen (- (/ sx 2) endl))
(define bend-zcen (- stal (/ sz 2)))
(define up-ycen (/ (- ribH h) 2)) ; the y-center of the up part (rib)
(define dn-ycen (/ ribH 2)) ; the y-center of the down part
(define-param no-bend false)
; if true, straight waveguide, if false, bended waveguide
; Substrate & cladding layers: SiO2
; Core layers: Si
(set! geometry
(if no-bend
(list
(make block (center 0 0 0) (size sx sy infinity)
(material (make dielectric (index 1.46)))
)
(make block (center 0 dn-ycen 0) (size sx (- h ribH) infinity)
(material (make dielectric (epsilon 11.9)))
)
(make block (center wg1-xcen up-ycen 0) (size ribW ribH
infinity)
(material (make dielectric (epsilon 11.9)))
)
)
(list
(make block (center 0 0 0) (size sx sy infinity)
(material (make dielectric (index 1.46)))
)
(make block (center 0 dn-ycen 0) (size sx (- h ribH) infinity)
(material (make dielectric (epsilon 11.9)))
)
(make cylinder (center bend-xcen up-ycen bend-zcen) (height
ribH)
(radius (+ bendr ribW)) (axis 0 1 0)
(material (make dielectric (epsilon 11.9)))
)
(make cylinder (center bend-xcen up-ycen bend-zcen) (height
ribH)
(radius bendr) (axis 0 1 0)
(material (make dielectric (index 1.46)))
)
(make block (center 0 up-ycen wg2-zcen) (size sx ribH stal)
(material (make dielectric (index 1.46)))
)
(make block (center wg3-xcen up-ycen 0) (size endl ribH sz)
(material (make dielectric (index 1.46)))
)
(make block (center wg2-xcen up-ycen wg2-zcen) (size ribW ribH
stal)
(material (make dielectric (epsilon 11.9)))
)
(make block (center wg3-xcen up-ycen wg3-zcen) (size endl ribH
ribW)
(material (make dielectric (epsilon 11.9)))
)
)
)
)
(define-param fcen (/ 1 3.1)) ; pulse center frequency, lambda=1.55um
(define-param df 0.1) ; pulse width (in frequency)
(define ((gauss-amp sigma) x)
(exp (- 0 (/ (vector3-dot x x) (* 2 sigma sigma)))))
(define-param waist (* 0.5 ribW))
(set! sources (list
(make source
(src (make gaussian-src
(frequency fcen) (fwidth df)))
(component Ey)
(center wg1-xcen 0 (- pmlxz (/ sz 2))) (size ribW h 0)
(amp-func (gauss-amp waist))
)
)
)
(set! pml-layers (list
(make pml (thickness pmlxz) (direction X))
(make pml (thickness pmlxz) (direction Z))
(make pml (thickness pmly) (direction Y))
)
)
(set! resolution 10)
(use-output-directory)
(define-param nfreq 201) ; number of frequencies at which to compute flux
(define trans ; transmitted flux
(add-flux fcen df nfreq
(if no-bend
(make flux-region
(center wg1-xcen 0 (- (/ sz 2) (+ pmlxz 3))) (size (* 2
ribW) h 0)
)
(make flux-region
(center (- (/ sx 2) (+ pmlxz 3)) 0 wg3-zcen) (size 0 h
(* 2 ribW))
)
)
)
)
(define refl ; reflected flux
(add-flux fcen df nfreq
(make flux-region
(center wg1-xcen 0 (- (+ pmlxz 3) (/ sz 2))) (size (* 2
ribW) h 0))))
(if (not no-bend) (load-minus-flux "refl-flux" refl))
(define (flux-disply) (display-fluxes trans refl))
(define v (volume (center 0 0 (/ sz 3))
(size sx (- sy (* 2 pmlxz)) (/ sz 3))
)
)
(run-sources+
(stop-when-fields-decayed 250 Ey
(if no-bend
(vector3 wg1-xcen 0 (- (/ sz 2) (+ pmlxz 3)))
(vector3 (- (/ sx 2) (+ pmlxz 3)) 0 wg3-zcen)
)
1e-6
)
(at-beginning output-epsilon)
(at-time 1000 flux-disply)
(at-time 800 (in-volume v output-efield-y))
)
(if no-bend (save-flux "refl-flux" refl))
(display-fluxes trans refl)
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flux1:, 0.37008064516129, 2.89671906839726e-5, 1.44832288961576e-8
flux1:, 0.37058064516129, 2.43187601307204e-5, 1.19425848152193e-8
flux1:, 0.37108064516129, 2.0372897407231e-5, 1.00196587721479e-8
flux1:, 0.37158064516129, 1.70303932231261e-5, 8.07601544059358e-9
flux1:, 0.37208064516129, 1.42051875982055e-5, 6.88271348750354e-9
flux1:, 0.37258064516129, 1.18231972781069e-5, 5.30222904871586e-9
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