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| author | evmik <evmik@ligo.mit.edu> | 2006-07-10 15:13:57 -0400 |
|---|---|---|
| committer | evmik <evmik@ligo.mit.edu> | 2006-07-10 15:13:57 -0400 |
| commit | 3bcd281d73cc58184664e0fe4e16cc5888d82692 (patch) | |
| tree | 539c44ffb219869fcdb3dc0aee705af4a19045f5 | |
| parent | 786b4e0ece4249b92058faff8d1ac85644ad99eb (diff) | |
| download | mode_match-3bcd281d73cc58184664e0fe4e16cc5888d82692.tar.gz mode_match-3bcd281d73cc58184664e0fe4e16cc5888d82692.zip | |
Added code to solve waise parameters of the cavity
darcs-hash:20060710191357-a6199-8087f094f9bb07466a82c4da5412e3ac9928a8d6
| -rw-r--r-- | cavity.m | 21 | ||||
| -rw-r--r-- | cavity_q_parameter_at_mirror.example.m | 18 |
2 files changed, 39 insertions, 0 deletions
diff --git a/cavity.m b/cavity.m new file mode 100644 index 0000000..0e38d07 --- /dev/null +++ b/cavity.m @@ -0,0 +1,21 @@ +function answ=q_diff_after_cavity(q_initial) + # A B C D should be defined as global variables outside as well + # they represent elements of cavity ABCD matrix + global A B C D ; + q_diff=(A*(q_initial(1)+q_initial(2)*1i)+B)/(C*(q_initial(1)+q_initial(2)*1i) +D)-(q_initial(1)+q_initial(2)*1i) ; + answ=[real(q_diff), imag(q_diff)]; +endfunction + + +## looks like it always return some result even if cavity is unstable ## +function answ=find_q_at_the_mirror(q_initial_guess) + [q_array,info]=fsolve("q_diff_after_cavity", [real(q_initial_guess),imag(q_initial_guess)]); + if ( info == 1 ) + answ=q_array(1)+q_array(2)*1i ; + else + error("unable to find waste at mirror of the cavity, may be cavity is unstable") + quit() + endif +endfunction + + diff --git a/cavity_q_parameter_at_mirror.example.m b/cavity_q_parameter_at_mirror.example.m new file mode 100644 index 0000000..60a0d8e --- /dev/null +++ b/cavity_q_parameter_at_mirror.example.m @@ -0,0 +1,18 @@ +source("abcd.m") +source("cavity.m") + +lambda=1.064e-6 +R1=.01 +R2=.01 + +cavity_abcd = abcd_lens(R1/2) * abcd_free_space(.007) * abcd_free_space(.01/1.8) * abcd_free_space(0.0036) + +global A = cavity_abcd(1,1) +global B = cavity_abcd(1,2) +global C = cavity_abcd(2,1) +global D = cavity_abcd(2,2) + +q_at_mirror=find_q_at_the_mirror(1/R1+3i) +q2waste(q_at_mirror,lambda) +q2radius(q_at_mirror,lambda) + |