Convert Radian to Degree in Plot axis only

I would like to show the X axis as degrees in the plot. The code has used radians all throughout.

Is there a way to convert the X axis values to represent degrees as oposed to radians?

My code is as follows:

% James
% 
% Setting up the variables for the parameters
n1 = 1;
n2 = 1.5;

% We are looking to range theata_i from 0 t 90 degrees
% Using the linspace() command we can range values over some interval using
% the last argument as a step or incriment value
theata_i = linspace(0,pi/2,50)

% The value of theata_t as per Snells Law
theata_t = asin((n1/n2)*(sin(theata_i)))

% Notice the use of ./ this is an element by element divide, if we were to
% just use the divide sign, / , we would be dividing a scalar and would not
% get the array of values we are interested in.

reflectedPerpendic = (n1*cos(theata_i) - n2*cos(theata_t))./(n1*cos(theata_i) + n2*cos(theata_t))

% Using the plot function
plot( abs(theata_t), abs(reflectedPerpendic),'--r*')
%title('Graph of Reflected Perpencular Component')
hold

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% Same approach for the transmitted Perpendic value
transmittedPerpendic = (2*n1*cos(theata_i))./(n1*cos(theata_i) + n2*cos(theata_t))

% Ploting the above
plot( abs(theata_t), abs(transmittedPerpendic),'--b*')
title('Graph of Reflected & Transmitted Perpencular Components')
xlabel('0 < theata_i < pi/2')
ylabel('Reflected = Red, Transmitted = Blue')
figure

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% Same approach for the reflected Paralell value
reflectedParalell = (n2*cos(theata_i) - n1*cos(theata_t))./(n2*cos(theata_i) + n1*cos(theata_t))

% Ploting the above
plot( abs(theata_t), abs(reflectedParalell),'--g*')
%title('Graph of Reflected Paralell Component')
hold

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Same approach for the transmitted Paralell value
transmittedParalell = (2*n1*cos(theata_i))./(n1*cos(theata_t) + n2*cos(theata_i))

% Ploting the above
plot( abs(theata_t), abs(transmittedParalell),'--m*')
title('Graph of Reflected & Transmitted Paralell Components')
xlabel('0 < theata_i < pi/2')
ylabel('Reflected = Green, Transmitted = Magenta')

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Answer 1

[Star Strider]

Try this:

% James
% 
% Setting up the variables for the parameters
n1 = 1;
n2 = 1.5;

% We are looking to range theata_i from 0 t 90 degrees
% Using the linspace() command we can range values over some interval using
% the last argument as a step or incriment value
theata_i = linspace(0,pi/2,50);

% The value of theata_t as per Snells Law
theata_t = asin((n1/n2)*(sin(theata_i)));

% Notice the use of ./ this is an element by element divide, if we were to
% just use the divide sign, / , we would be dividing a scalar and would not
% get the array of values we are interested in.

reflectedPerpendic = (n1*cos(theata_i) - n2*cos(theata_t))./(n1*cos(theata_i) + n2*cos(theata_t));

% Using the plot function
plot( abs(theata_t), abs(reflectedPerpendic),'--r*')
%title('Graph of Reflected Perpencular Component')
hold

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Same approach for the transmitted Perpendic value
transmittedPerpendic = (2*n1*cos(theata_i))./(n1*cos(theata_i) + n2*cos(theata_t));

% Ploting the above
plot( abs(theata_t), abs(transmittedPerpendic),'--b*')
title('Graph of Reflected & Transmitted Perpencular Components')
% xlabel('0 < theata_i < pi/2')
ylabel('Reflected = Red, Transmitted = Blue')
xtixr = get(gca, 'XTick');
xtixlbl = regexp(sprintf('%.1f°\n',xtixr*180/pi), '\n', 'split');
set(gca, 'XTick', xtixr, 'XTickLabel',xtixlbl)
xlabel('0 < theta_i < 180°')

figure

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Same approach for the reflected Paralell value
reflectedParalell = (n2*cos(theata_i) - n1*cos(theata_t))./(n2*cos(theata_i) + n1*cos(theata_t));

% Ploting the above
plot( abs(theata_t), abs(reflectedParalell),'--g*')
%title('Graph of Reflected Paralell Component')
hold

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% Same approach for the transmitted Paralell value
transmittedParalell = (2*n1*cos(theata_i))./(n1*cos(theata_t) + n2*cos(theata_i));

% Ploting the above
plot( abs(theata_t), abs(transmittedParalell),'--m*')
title('Graph of Reflected & Transmitted Paralell Components')
% xlabel('0 < theata_i < pi/2')
xtixr = get(gca, 'XTick');
xtixlbl = regexp(sprintf('%.1f°\n',xtixr*180/pi), '\n', 'split');
set(gca, 'XTick', xtixr, 'XTickLabel',xtixlbl);
xlabel('0 < theta_i < 180°')
ylabel('Reflected = Green, Transmitted = Magenta')

[james hayek]

This works wonderfully, I will comment on this in the evening to clarify some code used after some research.

Thanks again!!

[Star Strider]

My pleasure!

[ahmed samir]

thanks

Answer 2

[Hasitha Madushan]

How to convert Y-axis value to radiant value

[Hasitha Madushan]

plz answer me