Plot Different Line Styles using a for loop plot

I am Trying to creat a plot that has 4 different curves and each curve has a different line style. I have tried a number of ways and can't get it to work. Perhaps it is the way I have set up my for loop. If I keep all line styles the same, the plot works fine.. My code is attached.

%%  Now plot the log normal distribution when the volumetic mean is a constant

L=0:100;
L_bar = 25;
sigma_d = 0.25; %[0.25, 0.5, 0.75, 1.0]; % How the distribution changes with different standard deviations. 
mu = log(L_bar) - 0.5*sigma_d^2;
L_tilda = exp(mu);

LineTypes={'-'	'--' ':' '-.'};

P = zeros(1,length(L));
for sigma_d = [0.25, 0.5, 0.75, 1]
P= 1./(L.*sqrt(2*pi)*sigma_d).*exp(-log(L/L_tilda).^2/(2*sigma_d^2)) ; 
hold on
plot(L,P,'LineWidth',2,'LineStyle',LineTypes{sigma_d})
xline(L_tilda, 'LineWidth', 2)
xlabel('L (\mu m)')
xticks([0 20 40 60 80 100])
ylabel('P(L)');
title('Log Normal Distribution LBAR=25')
set(gca, 'FontSize',10);
end 
hold off
legend('\sigma_d =0.25', '\sigma_d= 0.5', '\sigma_d =0.75', '\sigma_d = 1')

Answer 1

[Sulaymon Eshkabilov]

Here is how you can get this plot:

clf; close all
L=0:100;
L_bar = 25;
sigma_d = 0.25; %[0.25, 0.5, 0.75, 1.0]; % How the distribution changes with different standard deviations. 
mu = log(L_bar) - 0.5*sigma_d^2;
L_tilda = exp(mu);
LineTypes={'-'	'--' ':' '-.'};
P = zeros(1,length(L));
sigma_d = [0.25, 0.5, 0.75, 1];
for ii=1:numel(sigma_d)
P= 1./(L.*sqrt(2*pi)*sigma_d(ii)).*exp(-log(L/L_tilda).^2/(2*sigma_d(ii)^2)) ; 
plot(L,P,'LineWidth',2,'LineStyle',LineTypes{ii})
hold on
end 
xline(L_tilda, 'LineWidth', 2)
xlabel('L (\mu m)')
xticks([0 20 40 60 80 100])
ylabel('P(L)');
title('Log Normal Distribution LBAR=25')
set(gca, 'FontSize',10);
hold off
legend('\sigma_d =0.25', '\sigma_d= 0.5', '\sigma_d =0.75', '\sigma_d = 1')

[David Harra]

This is perfect. I have one final question if I may.

As you can see I have changing values values of sigma. This mean I should have 4 different values of L_tilda and I haven't actually accounted for this.

I believe when I am doing my plot I should have a value for L_tilda and keep sigma at 0.25.........etc.

Now sure I would need to write a for loop to get every value of L_tilda first then need a double for loop for the plots. Feel like I am over complicating this in my head

[Sulaymon Eshkabilov]

Yes, you can insert four different values of L_tilda as well. - see this part of the code

...
L_tilda = [1 2 3 4];
LineTypes={'-'	'--' ':' '-.'};
P = zeros(1,length(L));
sigma_d = [0.25, 0.5, 0.75, 1];
for ii=1:numel(sigma_d)
P= 1./(L.*sqrt(2*pi)*sigma_d(ii)).*exp(-log(L/L_tilda(ii)).^2/(2*sigma_d(ii)^2)) ; 
plot(L,P,'LineWidth',2,'LineStyle',LineTypes{ii})
hold on
end
...

[David Harra]

Thank You got everything working perfectly.

[Sulaymon Eshkabilov]

Most welcome! Glad to help.